Solidity

2018.03.17

solidityで素数判定

pragma solidity ^0.4.18;
contract SimpleStore {
  function sqrt(uint x) public pure returns(uint) {
    uint z = (x + 1 ) / 2;
    uint y = x;
    while(z < y){
      y = z;
      z = ( x / z + z ) / 2;
    }
    return y;
  }
  function isPrime(uint n) public pure returns(bool) {
    if(n<=1){
      return false;
    }
    if(2==n){
      return true;
    }
    if(0==n%2){
      return false;
    }
    uint _sqrt = sqrt(n);
    for(uint i=3; i<=_sqrt; i+=2){
      if(0 == n%i){
        return false;
      }
    }    
    return true;
  }
  function getPrimeNumbers(uint n)
    public pure returns(uint[])
  {
    uint[] memory b = new uint[](n);
    uint cnt = 0;
    uint i;
    for(i=0; i<=n; i++){
      if(isPrime(i)){
        b[cnt++] = i;
      }
    }
    uint[] memory ret = new uint[](cnt);
    for(i=0; i<cnt; i++){
      ret[i] = b[i];
    }
    return ret;
  }
}

pragma solidity ^0.4.18;

contract SimpleStore {

function sqrt(uint x) public pure returns(uint) {

uint z = (x + 1 ) / 2;

uint y = x;

while(z < y){

y = z;

z = ( x / z + z ) / 2;

}

return y;

}

function isPrime(uint n) public pure returns(bool) {

if(n<=1){

return false;

}

if(2==n){

return true;

}

if(0==n%2){

return false;

}

uint _sqrt = sqrt(n);

for(uint i=3; i<=_sqrt; i+=2){

if(0 == n%i){

return false;

}

return true;

}

function getPrimeNumbers(uint n)

public pure returns(uint[])

{

uint[] memory b = new uint[](n);

uint cnt = 0;

uint i;

for(i=0; i<=n; i++){

if(isPrime(i)){

b[cnt++] = i;

}

uint[] memory ret = new uint[](cnt);

for(i=0; i<cnt; i++){

ret[i] = b[i];

}

return ret;

}

getPrimeNumbers(100000)の出力値

    2,     3,     5,     7,    11,    13,    17,    19, 
   23,    29,    31,    37,    41,    43,    47,    53, 
   59,    61,    67,    71,    73,    79,    83,    89, 
   97,   101,   103,   107,   109,   113,   127,   131, 
  137,   139,   149,   151,   157,   163,   167,   173, 
  179,   181,   191,   193,   197,   199,   211,   223, 
  227,   229,   233,   239,   241,   251,   257,   263, 
  269,   271,   277,   281,   283,   293,   307,   311, 
  313,   317,   331,   337,   347,   349,   353,   359, 
  367,   373,   379,   383,   389,   397,   401,   409, 
  419,   421,   431,   433,   439,   443,   449,   457, 
  461,   463,   467,   479,   487,   491,   499,   503, 
  509,   521,   523,   541,   547,   557,   563,   569, 
  571,   577,   587,   593,   599,   601,   607,   613, 
  617,   619,   631,   641,   643,   647,   653,   659, 
  661,   673,   677,   683,   691,   701,   709,   719, 
  727,   733,   739,   743,   751,   757,   761,   769, 
  773,   787,   797,   809,   811,   821,   823,   827, 
  829,   839,   853,   857,   859,   863,   877,   881, 
  883,   887,   907,   911,   919,   929,   937,   941, 
  947,   953,   967,   971,   977,   983,   991,   997, 
 1009,  1013,  1019,  1021,  1031,  1033,  1039,  1049, 
 1051,  1061,  1063,  1069,  1087,  1091,  1093,  1097, 
 1103,  1109,  1117,  1123,  1129,  1151,  1153,  1163, 
 1171,  1181,  1187,  1193,  1201,  1213,  1217,  1223, 
 1229,  1231,  1237,  1249,  1259,  1277,  1279,  1283, 
 1289,  1291,  1297,  1301,  1303,  1307,  1319,  1321, 
 1327,  1361,  1367,  1373,  1381,  1399,  1409,  1423, 
 1427,  1429,  1433,  1439,  1447,  1451,  1453,  1459, 
 1471,  1481,  1483,  1487,  1489,  1493,  1499,  1511, 
 1523,  1531,  1543,  1549,  1553,  1559,  1567,  1571, 
 1579,  1583,  1597,  1601,  1607,  1609,  1613,  1619, 
 1621,  1627,  1637,  1657,  1663,  1667,  1669,  1693, 
 1697,  1699,  1709,  1721,  1723,  1733,  1741,  1747, 
 1753,  1759,  1777,  1783,  1787,  1789,  1801,  1811, 
 1823,  1831,  1847,  1861,  1867,  1871,  1873,  1877, 
 1879,  1889,  1901,  1907,  1913,  1931,  1933,  1949, 
 1951,  1973,  1979,  1987,  1993,  1997,  1999,  2003, 
 2011,  2017,  2027,  2029,  2039,  2053,  2063,  2069, 
 2081,  2083,  2087,  2089,  2099,  2111,  2113,  2129, 
 2131,  2137,  2141,  2143,  2153,  2161,  2179,  2203, 
 2207,  2213,  2221,  2237,  2239,  2243,  2251,  2267, 
 2269,  2273,  2281,  2287,  2293,  2297,  2309,  2311, 
 2333,  2339,  2341,  2347,  2351,  2357,  2371,  2377, 
 2381,  2383,  2389,  2393,  2399,  2411,  2417,  2423, 
 2437,  2441,  2447,  2459,  2467,  2473,  2477,  2503, 
 2521,  2531,  2539,  2543,  2549,  2551,  2557,  2579, 
 2591,  2593,  2609,  2617,  2621,  2633,  2647,  2657, 
 2659,  2663,  2671,  2677,  2683,  2687,  2689,  2693, 
 2699,  2707,  2711,  2713,  2719,  2729,  2731,  2741, 
 2749,  2753,  2767,  2777,  2789,  2791,  2797,  2801, 
 2803,  2819,  2833,  2837,  2843,  2851,  2857,  2861, 
 2879,  2887,  2897,  2903,  2909,  2917,  2927,  2939, 
 2953,  2957,  2963,  2969,  2971,  2999,  3001,  3011, 
 3019,  3023,  3037,  3041,  3049,  3061,  3067,  3079, 
 3083,  3089,  3109,  3119,  3121,  3137,  3163,  3167, 
 3169,  3181,  3187,  3191,  3203,  3209,  3217,  3221, 
 3229,  3251,  3253,  3257,  3259,  3271,  3299,  3301, 
 3307,  3313,  3319,  3323,  3329,  3331,  3343,  3347, 
 3359,  3361,  3371,  3373,  3389,  3391,  3407,  3413, 
 3433,  3449,  3457,  3461,  3463,  3467,  3469,  3491, 
 3499,  3511,  3517,  3527,  3529,  3533,  3539,  3541, 
 3547,  3557,  3559,  3571,  3581,  3583,  3593,  3607, 
 3613,  3617,  3623,  3631,  3637,  3643,  3659,  3671, 
 3673,  3677,  3691,  3697,  3701,  3709,  3719,  3727, 
 3733,  3739,  3761,  3767,  3769,  3779,  3793,  3797, 
 3803,  3821,  3823,  3833,  3847,  3851,  3853,  3863, 
 3877,  3881,  3889,  3907,  3911,  3917,  3919,  3923, 
 3929,  3931,  3943,  3947,  3967,  3989,  4001,  4003, 
 4007,  4013,  4019,  4021,  4027,  4049,  4051,  4057, 
 4073,  4079,  4091,  4093,  4099,  4111,  4127,  4129, 
 4133,  4139,  4153,  4157,  4159,  4177,  4201,  4211, 
 4217,  4219,  4229,  4231,  4241,  4243,  4253,  4259, 
 4261,  4271,  4273,  4283,  4289,  4297,  4327,  4337, 
 4339,  4349,  4357,  4363,  4373,  4391,  4397,  4409, 
 4421,  4423,  4441,  4447,  4451,  4457,  4463,  4481, 
 4483,  4493,  4507,  4513,  4517,  4519,  4523,  4547, 
 4549,  4561,  4567,  4583,  4591,  4597,  4603,  4621, 
 4637,  4639,  4643,  4649,  4651,  4657,  4663,  4673, 
 4679,  4691,  4703,  4721,  4723,  4729,  4733,  4751, 
 4759,  4783,  4787,  4789,  4793,  4799,  4801,  4813, 
 4817,  4831,  4861,  4871,  4877,  4889,  4903,  4909, 
 4919,  4931,  4933,  4937,  4943,  4951,  4957,  4967, 
 4969,  4973,  4987,  4993,  4999,  5003,  5009,  5011, 
 5021,  5023,  5039,  5051,  5059,  5077,  5081,  5087, 
 5099,  5101,  5107,  5113,  5119,  5147,  5153,  5167, 
 5171,  5179,  5189,  5197,  5209,  5227,  5231,  5233, 
 5237,  5261,  5273,  5279,  5281,  5297,  5303,  5309, 
 5323,  5333,  5347,  5351,  5381,  5387,  5393,  5399, 
 5407,  5413,  5417,  5419,  5431,  5437,  5441,  5443, 
 5449,  5471,  5477,  5479,  5483,  5501,  5503,  5507, 
 5519,  5521,  5527,  5531,  5557,  5563,  5569,  5573, 
 5581,  5591,  5623,  5639,  5641,  5647,  5651,  5653, 
 5657,  5659,  5669,  5683,  5689,  5693,  5701,  5711, 
 5717,  5737,  5741,  5743,  5749,  5779,  5783,  5791, 
 5801,  5807,  5813,  5821,  5827,  5839,  5843,  5849, 
 5851,  5857,  5861,  5867,  5869,  5879,  5881,  5897, 
 5903,  5923,  5927,  5939,  5953,  5981,  5987,  6007, 
 6011,  6029,  6037,  6043,  6047,  6053,  6067,  6073, 
 6079,  6089,  6091,  6101,  6113,  6121,  6131,  6133, 
 6143,  6151,  6163,  6173,  6197,  6199,  6203,  6211, 
 6217,  6221,  6229,  6247,  6257,  6263,  6269,  6271, 
 6277,  6287,  6299,  6301,  6311,  6317,  6323,  6329, 
 6337,  6343,  6353,  6359,  6361,  6367,  6373,  6379, 
 6389,  6397,  6421,  6427,  6449,  6451,  6469,  6473, 
 6481,  6491,  6521,  6529,  6547,  6551,  6553,  6563, 
 6569,  6571,  6577,  6581,  6599,  6607,  6619,  6637, 
 6653,  6659,  6661,  6673,  6679,  6689,  6691,  6701, 
 6703,  6709,  6719,  6733,  6737,  6761,  6763,  6779, 
 6781,  6791,  6793,  6803,  6823,  6827,  6829,  6833, 
 6841,  6857,  6863,  6869,  6871,  6883,  6899,  6907, 
 6911,  6917,  6947,  6949,  6959,  6961,  6967,  6971, 
 6977,  6983,  6991,  6997,  7001,  7013,  7019,  7027, 
 7039,  7043,  7057,  7069,  7079,  7103,  7109,  7121, 
 7127,  7129,  7151,  7159,  7177,  7187,  7193,  7207, 
 7211,  7213,  7219,  7229,  7237,  7243,  7247,  7253, 
 7283,  7297,  7307,  7309,  7321,  7331,  7333,  7349, 
 7351,  7369,  7393,  7411,  7417,  7433,  7451,  7457, 
 7459,  7477,  7481,  7487,  7489,  7499,  7507,  7517, 
 7523,  7529,  7537,  7541,  7547,  7549,  7559,  7561, 
 7573,  7577,  7583,  7589,  7591,  7603,  7607,  7621, 
 7639,  7643,  7649,  7669,  7673,  7681,  7687,  7691, 
 7699,  7703,  7717,  7723,  7727,  7741,  7753,  7757, 
 7759,  7789,  7793,  7817,  7823,  7829,  7841,  7853, 
 7867,  7873,  7877,  7879,  7883,  7901,  7907,  7919, 
 7927,  7933,  7937,  7949,  7951,  7963,  7993,  8009, 
 8011,  8017,  8039,  8053,  8059,  8069,  8081,  8087, 
 8089,  8093,  8101,  8111,  8117,  8123,  8147,  8161, 
 8167,  8171,  8179,  8191,  8209,  8219,  8221,  8231, 
 8233,  8237,  8243,  8263,  8269,  8273,  8287,  8291, 
 8293,  8297,  8311,  8317,  8329,  8353,  8363,  8369, 
 8377,  8387,  8389,  8419,  8423,  8429,  8431,  8443, 
 8447,  8461,  8467,  8501,  8513,  8521,  8527,  8537, 
 8539,  8543,  8563,  8573,  8581,  8597,  8599,  8609, 
 8623,  8627,  8629,  8641,  8647,  8663,  8669,  8677, 
 8681,  8689,  8693,  8699,  8707,  8713,  8719,  8731, 
 8737,  8741,  8747,  8753,  8761,  8779,  8783,  8803, 
 8807,  8819,  8821,  8831,  8837,  8839,  8849,  8861, 
 8863,  8867,  8887,  8893,  8923,  8929,  8933,  8941, 
 8951,  8963,  8969,  8971,  8999,  9001,  9007,  9011, 
 9013,  9029,  9041,  9043,  9049,  9059,  9067,  9091, 
 9103,  9109,  9127,  9133,  9137,  9151,  9157,  9161, 
 9173,  9181,  9187,  9199,  9203,  9209,  9221,  9227, 
 9239,  9241,  9257,  9277,  9281,  9283,  9293,  9311, 
 9319,  9323,  9337,  9341,  9343,  9349,  9371,  9377, 
 9391,  9397,  9403,  9413,  9419,  9421,  9431,  9433, 
 9437,  9439,  9461,  9463,  9467,  9473,  9479,  9491, 
 9497,  9511,  9521,  9533,  9539,  9547,  9551,  9587, 
 9601,  9613,  9619,  9623,  9629,  9631,  9643,  9649, 
 9661,  9677,  9679,  9689,  9697,  9719,  9721,  9733, 
 9739,  9743,  9749,  9767,  9769,  9781,  9787,  9791, 
 9803,  9811,  9817,  9829,  9833,  9839,  9851,  9857, 
 9859,  9871,  9883,  9887,  9901,  9907,  9923,  9929, 
 9931,  9941,  9949,  9967,  9973, 10007, 10009, 10037, 
10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 
10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 
10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247, 
10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 
10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369, 
10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 
10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 
10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 
10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691, 
10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771, 
10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 
10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 
10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003, 
11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087, 
11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 
11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 
11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 
11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, 
11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 
11489, 11491, 11497, 11503, 11519, 11527, 11549, 11551, 
11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 
11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 
11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 
11821, 11827, 11831, 11833, 11839, 11863, 11867, 11887, 
11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, 
11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 
12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 
12107, 12109, 12113, 12119, 12143, 12149, 12157, 12161, 
12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 
12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 
12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 
12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 
12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 
12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, 
12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653, 
12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 
12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 
12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907, 
12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967, 
12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 
13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 
13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 
13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259, 
13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 
13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, 
13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 
13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 
13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 
13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723, 
13729, 13751, 13757, 13759, 13763, 13781, 13789, 13799, 
13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 
13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 
13963, 13967, 13997, 13999, 14009, 14011, 14029, 14033, 
14051, 14057, 14071, 14081, 14083, 14087, 14107, 14143, 
14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, 
14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, 
14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 
14411, 14419, 14423, 14431, 14437, 14447, 14449, 14461, 
14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 
14551, 14557, 14561, 14563, 14591, 14593, 14621, 14627, 
14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, 
14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 
14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, 
14827, 14831, 14843, 14851, 14867, 14869, 14879, 14887, 
14891, 14897, 14923, 14929, 14939, 14947, 14951, 14957, 
14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 
15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 
15139, 15149, 15161, 15173, 15187, 15193, 15199, 15217, 
15227, 15233, 15241, 15259, 15263, 15269, 15271, 15277, 
15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 
15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, 
15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 
15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569, 
15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 
15647, 15649, 15661, 15667, 15671, 15679, 15683, 15727, 
15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, 
15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 
15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919, 
15923, 15937, 15959, 15971, 15973, 15991, 16001, 16007, 
16033, 16057, 16061, 16063, 16067, 16069, 16073, 16087, 
16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 
16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 
16253, 16267, 16273, 16301, 16319, 16333, 16339, 16349, 
16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427, 
16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 
16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603, 
16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 
16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747, 
16759, 16763, 16787, 16811, 16823, 16829, 16831, 16843, 
16871, 16879, 16883, 16889, 16901, 16903, 16921, 16927, 
16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, 
17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 
17077, 17093, 17099, 17107, 17117, 17123, 17137, 17159, 
17167, 17183, 17189, 17191, 17203, 17207, 17209, 17231, 
17239, 17257, 17291, 17293, 17299, 17317, 17321, 17327, 
17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 
17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, 
17471, 17477, 17483, 17489, 17491, 17497, 17509, 17519, 
17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599, 
17609, 17623, 17627, 17657, 17659, 17669, 17681, 17683, 
17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783, 
17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 
17881, 17891, 17903, 17909, 17911, 17921, 17923, 17929, 
17939, 17957, 17959, 17971, 17977, 17981, 17987, 17989, 
18013, 18041, 18043, 18047, 18049, 18059, 18061, 18077, 
18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, 
18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 
18229, 18233, 18251, 18253, 18257, 18269, 18287, 18289, 
18301, 18307, 18311, 18313, 18329, 18341, 18353, 18367, 
18371, 18379, 18397, 18401, 18413, 18427, 18433, 18439, 
18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517, 
18521, 18523, 18539, 18541, 18553, 18583, 18587, 18593, 
18617, 18637, 18661, 18671, 18679, 18691, 18701, 18713, 
18719, 18731, 18743, 18749, 18757, 18773, 18787, 18793, 
18797, 18803, 18839, 18859, 18869, 18899, 18911, 18913, 
18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009, 
19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 
19087, 19121, 19139, 19141, 19157, 19163, 19181, 19183, 
19207, 19211, 19213, 19219, 19231, 19237, 19249, 19259, 
19267, 19273, 19289, 19301, 19309, 19319, 19333, 19373, 
19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, 
19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469, 
19471, 19477, 19483, 19489, 19501, 19507, 19531, 19541, 
19543, 19553, 19559, 19571, 19577, 19583, 19597, 19603, 
19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717, 
19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793, 
19801, 19813, 19819, 19841, 19843, 19853, 19861, 19867, 
19889, 19891, 19913, 19919, 19927, 19937, 19949, 19961, 
19963, 19973, 19979, 19991, 19993, 19997, 20011, 20021, 
20023, 20029, 20047, 20051, 20063, 20071, 20089, 20101, 
20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149, 
20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 
20249, 20261, 20269, 20287, 20297, 20323, 20327, 20333, 
20341, 20347, 20353, 20357, 20359, 20369, 20389, 20393, 
20399, 20407, 20411, 20431, 20441, 20443, 20477, 20479, 
20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, 
20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663, 
20681, 20693, 20707, 20717, 20719, 20731, 20743, 20747, 
20749, 20753, 20759, 20771, 20773, 20789, 20807, 20809, 
20849, 20857, 20873, 20879, 20887, 20897, 20899, 20903, 
20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983, 
21001, 21011, 21013, 21017, 21019, 21023, 21031, 21059, 
21061, 21067, 21089, 21101, 21107, 21121, 21139, 21143, 
21149, 21157, 21163, 21169, 21179, 21187, 21191, 21193, 
21211, 21221, 21227, 21247, 21269, 21277, 21283, 21313, 
21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383, 
21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 
21487, 21491, 21493, 21499, 21503, 21517, 21521, 21523, 
21529, 21557, 21559, 21563, 21569, 21577, 21587, 21589, 
21599, 21601, 21611, 21613, 21617, 21647, 21649, 21661, 
21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751, 
21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821, 
21839, 21841, 21851, 21859, 21863, 21871, 21881, 21893, 
21911, 21929, 21937, 21943, 21961, 21977, 21991, 21997, 
22003, 22013, 22027, 22031, 22037, 22039, 22051, 22063, 
22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123, 
22129, 22133, 22147, 22153, 22157, 22159, 22171, 22189, 
22193, 22229, 22247, 22259, 22271, 22273, 22277, 22279, 
22283, 22291, 22303, 22307, 22343, 22349, 22367, 22369, 
22381, 22391, 22397, 22409, 22433, 22441, 22447, 22453, 
22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543, 
22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637, 
22639, 22643, 22651, 22669, 22679, 22691, 22697, 22699, 
22709, 22717, 22721, 22727, 22739, 22741, 22751, 22769, 
22777, 22783, 22787, 22807, 22811, 22817, 22853, 22859, 
22861, 22871, 22877, 22901, 22907, 22921, 22937, 22943, 
22961, 22963, 22973, 22993, 23003, 23011, 23017, 23021, 
23027, 23029, 23039, 23041, 23053, 23057, 23059, 23063, 
23071, 23081, 23087, 23099, 23117, 23131, 23143, 23159, 
23167, 23173, 23189, 23197, 23201, 23203, 23209, 23227, 
23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321, 
23327, 23333, 23339, 23357, 23369, 23371, 23399, 23417, 
23431, 23447, 23459, 23473, 23497, 23509, 23531, 23537, 
23539, 23549, 23557, 23561, 23563, 23567, 23581, 23593, 
23599, 23603, 23609, 23623, 23627, 23629, 23633, 23663, 
23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743, 
23747, 23753, 23761, 23767, 23773, 23789, 23801, 23813, 
23819, 23827, 23831, 23833, 23857, 23869, 23873, 23879, 
23887, 23893, 23899, 23909, 23911, 23917, 23929, 23957, 
23971, 23977, 23981, 23993, 24001, 24007, 24019, 24023, 
24029, 24043, 24049, 24061, 24071, 24077, 24083, 24091, 
24097, 24103, 24107, 24109, 24113, 24121, 24133, 24137, 
24151, 24169, 24179, 24181, 24197, 24203, 24223, 24229, 
24239, 24247, 24251, 24281, 24317, 24329, 24337, 24359, 
24371, 24373, 24379, 24391, 24407, 24413, 24419, 24421, 
24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517, 
24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623, 
24631, 24659, 24671, 24677, 24683, 24691, 24697, 24709, 
24733, 24749, 24763, 24767, 24781, 24793, 24799, 24809, 
24821, 24841, 24847, 24851, 24859, 24877, 24889, 24907, 
24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977, 
24979, 24989, 25013, 25031, 25033, 25037, 25057, 25073, 
25087, 25097, 25111, 25117, 25121, 25127, 25147, 25153, 
25163, 25169, 25171, 25183, 25189, 25219, 25229, 25237, 
25243, 25247, 25253, 25261, 25301, 25303, 25307, 25309, 
25321, 25339, 25343, 25349, 25357, 25367, 25373, 25391, 
25409, 25411, 25423, 25439, 25447, 25453, 25457, 25463, 
25469, 25471, 25523, 25537, 25541, 25561, 25577, 25579, 
25583, 25589, 25601, 25603, 25609, 25621, 25633, 25639, 
25643, 25657, 25667, 25673, 25679, 25693, 25703, 25717, 
25733, 25741, 25747, 25759, 25763, 25771, 25793, 25799, 
25801, 25819, 25841, 25847, 25849, 25867, 25873, 25889, 
25903, 25913, 25919, 25931, 25933, 25939, 25943, 25951, 
25969, 25981, 25997, 25999, 26003, 26017, 26021, 26029, 
26041, 26053, 26083, 26099, 26107, 26111, 26113, 26119, 
26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203, 
26209, 26227, 26237, 26249, 26251, 26261, 26263, 26267, 
26293, 26297, 26309, 26317, 26321, 26339, 26347, 26357, 
26371, 26387, 26393, 26399, 26407, 26417, 26423, 26431, 
26437, 26449, 26459, 26479, 26489, 26497, 26501, 26513, 
26539, 26557, 26561, 26573, 26591, 26597, 26627, 26633, 
26641, 26647, 26669, 26681, 26683, 26687, 26693, 26699, 
26701, 26711, 26713, 26717, 26723, 26729, 26731, 26737, 
26759, 26777, 26783, 26801, 26813, 26821, 26833, 26839, 
26849, 26861, 26863, 26879, 26881, 26891, 26893, 26903, 
26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987, 
26993, 27011, 27017, 27031, 27043, 27059, 27061, 27067, 
27073, 27077, 27091, 27103, 27107, 27109, 27127, 27143, 
27179, 27191, 27197, 27211, 27239, 27241, 27253, 27259, 
27271, 27277, 27281, 27283, 27299, 27329, 27337, 27361, 
27367, 27397, 27407, 27409, 27427, 27431, 27437, 27449, 
27457, 27479, 27481, 27487, 27509, 27527, 27529, 27539, 
27541, 27551, 27581, 27583, 27611, 27617, 27631, 27647, 
27653, 27673, 27689, 27691, 27697, 27701, 27733, 27737, 
27739, 27743, 27749, 27751, 27763, 27767, 27773, 27779, 
27791, 27793, 27799, 27803, 27809, 27817, 27823, 27827, 
27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941, 
27943, 27947, 27953, 27961, 27967, 27983, 27997, 28001, 
28019, 28027, 28031, 28051, 28057, 28069, 28081, 28087, 
28097, 28099, 28109, 28111, 28123, 28151, 28163, 28181, 
28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283, 
28289, 28297, 28307, 28309, 28319, 28349, 28351, 28387, 
28393, 28403, 28409, 28411, 28429, 28433, 28439, 28447, 
28463, 28477, 28493, 28499, 28513, 28517, 28537, 28541, 
28547, 28549, 28559, 28571, 28573, 28579, 28591, 28597, 
28603, 28607, 28619, 28621, 28627, 28631, 28643, 28649, 
28657, 28661, 28663, 28669, 28687, 28697, 28703, 28711, 
28723, 28729, 28751, 28753, 28759, 28771, 28789, 28793, 
28807, 28813, 28817, 28837, 28843, 28859, 28867, 28871, 
28879, 28901, 28909, 28921, 28927, 28933, 28949, 28961, 
28979, 29009, 29017, 29021, 29023, 29027, 29033, 29059, 
29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147, 
29153, 29167, 29173, 29179, 29191, 29201, 29207, 29209, 
29221, 29231, 29243, 29251, 29269, 29287, 29297, 29303, 
29311, 29327, 29333, 29339, 29347, 29363, 29383, 29387, 
29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443, 
29453, 29473, 29483, 29501, 29527, 29531, 29537, 29567, 
29569, 29573, 29581, 29587, 29599, 29611, 29629, 29633, 
29641, 29663, 29669, 29671, 29683, 29717, 29723, 29741, 
29753, 29759, 29761, 29789, 29803, 29819, 29833, 29837, 
29851, 29863, 29867, 29873, 29879, 29881, 29917, 29921, 
29927, 29947, 29959, 29983, 29989, 30011, 30013, 30029, 
30047, 30059, 30071, 30089, 30091, 30097, 30103, 30109, 
30113, 30119, 30133, 30137, 30139, 30161, 30169, 30181, 
30187, 30197, 30203, 30211, 30223, 30241, 30253, 30259, 
30269, 30271, 30293, 30307, 30313, 30319, 30323, 30341, 
30347, 30367, 30389, 30391, 30403, 30427, 30431, 30449, 
30467, 30469, 30491, 30493, 30497, 30509, 30517, 30529, 
30539, 30553, 30557, 30559, 30577, 30593, 30631, 30637, 
30643, 30649, 30661, 30671, 30677, 30689, 30697, 30703, 
30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803, 
30809, 30817, 30829, 30839, 30841, 30851, 30853, 30859, 
30869, 30871, 30881, 30893, 30911, 30931, 30937, 30941, 
30949, 30971, 30977, 30983, 31013, 31019, 31033, 31039, 
31051, 31063, 31069, 31079, 31081, 31091, 31121, 31123, 
31139, 31147, 31151, 31153, 31159, 31177, 31181, 31183, 
31189, 31193, 31219, 31223, 31231, 31237, 31247, 31249, 
31253, 31259, 31267, 31271, 31277, 31307, 31319, 31321, 
31327, 31333, 31337, 31357, 31379, 31387, 31391, 31393, 
31397, 31469, 31477, 31481, 31489, 31511, 31513, 31517, 
31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601, 
31607, 31627, 31643, 31649, 31657, 31663, 31667, 31687, 
31699, 31721, 31723, 31727, 31729, 31741, 31751, 31769, 
31771, 31793, 31799, 31817, 31847, 31849, 31859, 31873, 
31883, 31891, 31907, 31957, 31963, 31973, 31981, 31991, 
32003, 32009, 32027, 32029, 32051, 32057, 32059, 32063, 
32069, 32077, 32083, 32089, 32099, 32117, 32119, 32141, 
32143, 32159, 32173, 32183, 32189, 32191, 32203, 32213, 
32233, 32237, 32251, 32257, 32261, 32297, 32299, 32303, 
32309, 32321, 32323, 32327, 32341, 32353, 32359, 32363, 
32369, 32371, 32377, 32381, 32401, 32411, 32413, 32423, 
32429, 32441, 32443, 32467, 32479, 32491, 32497, 32503, 
32507, 32531, 32533, 32537, 32561, 32563, 32569, 32573, 
32579, 32587, 32603, 32609, 32611, 32621, 32633, 32647, 
32653, 32687, 32693, 32707, 32713, 32717, 32719, 32749, 
32771, 32779, 32783, 32789, 32797, 32801, 32803, 32831, 
32833, 32839, 32843, 32869, 32887, 32909, 32911, 32917, 
32933, 32939, 32941, 32957, 32969, 32971, 32983, 32987, 
32993, 32999, 33013, 33023, 33029, 33037, 33049, 33053, 
33071, 33073, 33083, 33091, 33107, 33113, 33119, 33149, 
33151, 33161, 33179, 33181, 33191, 33199, 33203, 33211, 
33223, 33247, 33287, 33289, 33301, 33311, 33317, 33329, 
33331, 33343, 33347, 33349, 33353, 33359, 33377, 33391, 
33403, 33409, 33413, 33427, 33457, 33461, 33469, 33479, 
33487, 33493, 33503, 33521, 33529, 33533, 33547, 33563, 
33569, 33577, 33581, 33587, 33589, 33599, 33601, 33613, 
33617, 33619, 33623, 33629, 33637, 33641, 33647, 33679, 
33703, 33713, 33721, 33739, 33749, 33751, 33757, 33767, 
33769, 33773, 33791, 33797, 33809, 33811, 33827, 33829, 
33851, 33857, 33863, 33871, 33889, 33893, 33911, 33923, 
33931, 33937, 33941, 33961, 33967, 33997, 34019, 34031, 
34033, 34039, 34057, 34061, 34123, 34127, 34129, 34141, 
34147, 34157, 34159, 34171, 34183, 34211, 34213, 34217, 
34231, 34253, 34259, 34261, 34267, 34273, 34283, 34297, 
34301, 34303, 34313, 34319, 34327, 34337, 34351, 34361, 
34367, 34369, 34381, 34403, 34421, 34429, 34439, 34457, 
34469, 34471, 34483, 34487, 34499, 34501, 34511, 34513, 
34519, 34537, 34543, 34549, 34583, 34589, 34591, 34603, 
34607, 34613, 34631, 34649, 34651, 34667, 34673, 34679, 
34687, 34693, 34703, 34721, 34729, 34739, 34747, 34757, 
34759, 34763, 34781, 34807, 34819, 34841, 34843, 34847, 
34849, 34871, 34877, 34883, 34897, 34913, 34919, 34939, 
34949, 34961, 34963, 34981, 35023, 35027, 35051, 35053, 
35059, 35069, 35081, 35083, 35089, 35099, 35107, 35111, 
35117, 35129, 35141, 35149, 35153, 35159, 35171, 35201, 
35221, 35227, 35251, 35257, 35267, 35279, 35281, 35291, 
35311, 35317, 35323, 35327, 35339, 35353, 35363, 35381, 
35393, 35401, 35407, 35419, 35423, 35437, 35447, 35449, 
35461, 35491, 35507, 35509, 35521, 35527, 35531, 35533, 
35537, 35543, 35569, 35573, 35591, 35593, 35597, 35603, 
35617, 35671, 35677, 35729, 35731, 35747, 35753, 35759, 
35771, 35797, 35801, 35803, 35809, 35831, 35837, 35839, 
35851, 35863, 35869, 35879, 35897, 35899, 35911, 35923, 
35933, 35951, 35963, 35969, 35977, 35983, 35993, 35999, 
36007, 36011, 36013, 36017, 36037, 36061, 36067, 36073, 
36083, 36097, 36107, 36109, 36131, 36137, 36151, 36161, 
36187, 36191, 36209, 36217, 36229, 36241, 36251, 36263, 
36269, 36277, 36293, 36299, 36307, 36313, 36319, 36341, 
36343, 36353, 36373, 36383, 36389, 36433, 36451, 36457, 
36467, 36469, 36473, 36479, 36493, 36497, 36523, 36527, 
36529, 36541, 36551, 36559, 36563, 36571, 36583, 36587, 
36599, 36607, 36629, 36637, 36643, 36653, 36671, 36677, 
36683, 36691, 36697, 36709, 36713, 36721, 36739, 36749, 
36761, 36767, 36779, 36781, 36787, 36791, 36793, 36809, 
36821, 36833, 36847, 36857, 36871, 36877, 36887, 36899, 
36901, 36913, 36919, 36923, 36929, 36931, 36943, 36947, 
36973, 36979, 36997, 37003, 37013, 37019, 37021, 37039, 
37049, 37057, 37061, 37087, 37097, 37117, 37123, 37139, 
37159, 37171, 37181, 37189, 37199, 37201, 37217, 37223, 
37243, 37253, 37273, 37277, 37307, 37309, 37313, 37321, 
37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397, 
37409, 37423, 37441, 37447, 37463, 37483, 37489, 37493, 
37501, 37507, 37511, 37517, 37529, 37537, 37547, 37549, 
37561, 37567, 37571, 37573, 37579, 37589, 37591, 37607, 
37619, 37633, 37643, 37649, 37657, 37663, 37691, 37693, 
37699, 37717, 37747, 37781, 37783, 37799, 37811, 37813, 
37831, 37847, 37853, 37861, 37871, 37879, 37889, 37897, 
37907, 37951, 37957, 37963, 37967, 37987, 37991, 37993, 
37997, 38011, 38039, 38047, 38053, 38069, 38083, 38113, 
38119, 38149, 38153, 38167, 38177, 38183, 38189, 38197, 
38201, 38219, 38231, 38237, 38239, 38261, 38273, 38281, 
38287, 38299, 38303, 38317, 38321, 38327, 38329, 38333, 
38351, 38371, 38377, 38393, 38431, 38447, 38449, 38453, 
38459, 38461, 38501, 38543, 38557, 38561, 38567, 38569, 
38593, 38603, 38609, 38611, 38629, 38639, 38651, 38653, 
38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713, 
38723, 38729, 38737, 38747, 38749, 38767, 38783, 38791, 
38803, 38821, 38833, 38839, 38851, 38861, 38867, 38873, 
38891, 38903, 38917, 38921, 38923, 38933, 38953, 38959, 
38971, 38977, 38993, 39019, 39023, 39041, 39043, 39047, 
39079, 39089, 39097, 39103, 39107, 39113, 39119, 39133, 
39139, 39157, 39161, 39163, 39181, 39191, 39199, 39209, 
39217, 39227, 39229, 39233, 39239, 39241, 39251, 39293, 
39301, 39313, 39317, 39323, 39341, 39343, 39359, 39367, 
39371, 39373, 39383, 39397, 39409, 39419, 39439, 39443, 
39451, 39461, 39499, 39503, 39509, 39511, 39521, 39541, 
39551, 39563, 39569, 39581, 39607, 39619, 39623, 39631, 
39659, 39667, 39671, 39679, 39703, 39709, 39719, 39727, 
39733, 39749, 39761, 39769, 39779, 39791, 39799, 39821, 
39827, 39829, 39839, 39841, 39847, 39857, 39863, 39869, 
39877, 39883, 39887, 39901, 39929, 39937, 39953, 39971, 
39979, 39983, 39989, 40009, 40013, 40031, 40037, 40039, 
40063, 40087, 40093, 40099, 40111, 40123, 40127, 40129, 
40151, 40153, 40163, 40169, 40177, 40189, 40193, 40213, 
40231, 40237, 40241, 40253, 40277, 40283, 40289, 40343, 
40351, 40357, 40361, 40387, 40423, 40427, 40429, 40433, 
40459, 40471, 40483, 40487, 40493, 40499, 40507, 40519, 
40529, 40531, 40543, 40559, 40577, 40583, 40591, 40597, 
40609, 40627, 40637, 40639, 40693, 40697, 40699, 40709, 
40739, 40751, 40759, 40763, 40771, 40787, 40801, 40813, 
40819, 40823, 40829, 40841, 40847, 40849, 40853, 40867, 
40879, 40883, 40897, 40903, 40927, 40933, 40939, 40949, 
40961, 40973, 40993, 41011, 41017, 41023, 41039, 41047, 
41051, 41057, 41077, 41081, 41113, 41117, 41131, 41141, 
41143, 41149, 41161, 41177, 41179, 41183, 41189, 41201, 
41203, 41213, 41221, 41227, 41231, 41233, 41243, 41257, 
41263, 41269, 41281, 41299, 41333, 41341, 41351, 41357, 
41381, 41387, 41389, 41399, 41411, 41413, 41443, 41453, 
41467, 41479, 41491, 41507, 41513, 41519, 41521, 41539, 
41543, 41549, 41579, 41593, 41597, 41603, 41609, 41611, 
41617, 41621, 41627, 41641, 41647, 41651, 41659, 41669, 
41681, 41687, 41719, 41729, 41737, 41759, 41761, 41771, 
41777, 41801, 41809, 41813, 41843, 41849, 41851, 41863, 
41879, 41887, 41893, 41897, 41903, 41911, 41927, 41941, 
41947, 41953, 41957, 41959, 41969, 41981, 41983, 41999, 
42013, 42017, 42019, 42023, 42043, 42061, 42071, 42073, 
42083, 42089, 42101, 42131, 42139, 42157, 42169, 42179, 
42181, 42187, 42193, 42197, 42209, 42221, 42223, 42227, 
42239, 42257, 42281, 42283, 42293, 42299, 42307, 42323, 
42331, 42337, 42349, 42359, 42373, 42379, 42391, 42397, 
42403, 42407, 42409, 42433, 42437, 42443, 42451, 42457, 
42461, 42463, 42467, 42473, 42487, 42491, 42499, 42509, 
42533, 42557, 42569, 42571, 42577, 42589, 42611, 42641, 
42643, 42649, 42667, 42677, 42683, 42689, 42697, 42701, 
42703, 42709, 42719, 42727, 42737, 42743, 42751, 42767, 
42773, 42787, 42793, 42797, 42821, 42829, 42839, 42841, 
42853, 42859, 42863, 42899, 42901, 42923, 42929, 42937, 
42943, 42953, 42961, 42967, 42979, 42989, 43003, 43013, 
43019, 43037, 43049, 43051, 43063, 43067, 43093, 43103, 
43117, 43133, 43151, 43159, 43177, 43189, 43201, 43207, 
43223, 43237, 43261, 43271, 43283, 43291, 43313, 43319, 
43321, 43331, 43391, 43397, 43399, 43403, 43411, 43427, 
43441, 43451, 43457, 43481, 43487, 43499, 43517, 43541, 
43543, 43573, 43577, 43579, 43591, 43597, 43607, 43609, 
43613, 43627, 43633, 43649, 43651, 43661, 43669, 43691, 
43711, 43717, 43721, 43753, 43759, 43777, 43781, 43783, 
43787, 43789, 43793, 43801, 43853, 43867, 43889, 43891, 
43913, 43933, 43943, 43951, 43961, 43963, 43969, 43973, 
43987, 43991, 43997, 44017, 44021, 44027, 44029, 44041, 
44053, 44059, 44071, 44087, 44089, 44101, 44111, 44119, 
44123, 44129, 44131, 44159, 44171, 44179, 44189, 44201, 
44203, 44207, 44221, 44249, 44257, 44263, 44267, 44269, 
44273, 44279, 44281, 44293, 44351, 44357, 44371, 44381, 
44383, 44389, 44417, 44449, 44453, 44483, 44491, 44497, 
44501, 44507, 44519, 44531, 44533, 44537, 44543, 44549, 
44563, 44579, 44587, 44617, 44621, 44623, 44633, 44641, 
44647, 44651, 44657, 44683, 44687, 44699, 44701, 44711, 
44729, 44741, 44753, 44771, 44773, 44777, 44789, 44797, 
44809, 44819, 44839, 44843, 44851, 44867, 44879, 44887, 
44893, 44909, 44917, 44927, 44939, 44953, 44959, 44963, 
44971, 44983, 44987, 45007, 45013, 45053, 45061, 45077, 
45083, 45119, 45121, 45127, 45131, 45137, 45139, 45161, 
45179, 45181, 45191, 45197, 45233, 45247, 45259, 45263, 
45281, 45289, 45293, 45307, 45317, 45319, 45329, 45337, 
45341, 45343, 45361, 45377, 45389, 45403, 45413, 45427, 
45433, 45439, 45481, 45491, 45497, 45503, 45523, 45533, 
45541, 45553, 45557, 45569, 45587, 45589, 45599, 45613, 
45631, 45641, 45659, 45667, 45673, 45677, 45691, 45697, 
45707, 45737, 45751, 45757, 45763, 45767, 45779, 45817, 
45821, 45823, 45827, 45833, 45841, 45853, 45863, 45869, 
45887, 45893, 45943, 45949, 45953, 45959, 45971, 45979, 
45989, 46021, 46027, 46049, 46051, 46061, 46073, 46091, 
46093, 46099, 46103, 46133, 46141, 46147, 46153, 46171, 
46181, 46183, 46187, 46199, 46219, 46229, 46237, 46261, 
46271, 46273, 46279, 46301, 46307, 46309, 46327, 46337, 
46349, 46351, 46381, 46399, 46411, 46439, 46441, 46447, 
46451, 46457, 46471, 46477, 46489, 46499, 46507, 46511, 
46523, 46549, 46559, 46567, 46573, 46589, 46591, 46601, 
46619, 46633, 46639, 46643, 46649, 46663, 46679, 46681, 
46687, 46691, 46703, 46723, 46727, 46747, 46751, 46757, 
46769, 46771, 46807, 46811, 46817, 46819, 46829, 46831, 
46853, 46861, 46867, 46877, 46889, 46901, 46919, 46933, 
46957, 46993, 46997, 47017, 47041, 47051, 47057, 47059, 
47087, 47093, 47111, 47119, 47123, 47129, 47137, 47143, 
47147, 47149, 47161, 47189, 47207, 47221, 47237, 47251, 
47269, 47279, 47287, 47293, 47297, 47303, 47309, 47317, 
47339, 47351, 47353, 47363, 47381, 47387, 47389, 47407, 
47417, 47419, 47431, 47441, 47459, 47491, 47497, 47501, 
47507, 47513, 47521, 47527, 47533, 47543, 47563, 47569, 
47581, 47591, 47599, 47609, 47623, 47629, 47639, 47653, 
47657, 47659, 47681, 47699, 47701, 47711, 47713, 47717, 
47737, 47741, 47743, 47777, 47779, 47791, 47797, 47807, 
47809, 47819, 47837, 47843, 47857, 47869, 47881, 47903, 
47911, 47917, 47933, 47939, 47947, 47951, 47963, 47969, 
47977, 47981, 48017, 48023, 48029, 48049, 48073, 48079, 
48091, 48109, 48119, 48121, 48131, 48157, 48163, 48179, 
48187, 48193, 48197, 48221, 48239, 48247, 48259, 48271, 
48281, 48299, 48311, 48313, 48337, 48341, 48353, 48371, 
48383, 48397, 48407, 48409, 48413, 48437, 48449, 48463, 
48473, 48479, 48481, 48487, 48491, 48497, 48523, 48527, 
48533, 48539, 48541, 48563, 48571, 48589, 48593, 48611, 
48619, 48623, 48647, 48649, 48661, 48673, 48677, 48679, 
48731, 48733, 48751, 48757, 48761, 48767, 48779, 48781, 
48787, 48799, 48809, 48817, 48821, 48823, 48847, 48857, 
48859, 48869, 48871, 48883, 48889, 48907, 48947, 48953, 
48973, 48989, 48991, 49003, 49009, 49019, 49031, 49033, 
49037, 49043, 49057, 49069, 49081, 49103, 49109, 49117, 
49121, 49123, 49139, 49157, 49169, 49171, 49177, 49193, 
49199, 49201, 49207, 49211, 49223, 49253, 49261, 49277, 
49279, 49297, 49307, 49331, 49333, 49339, 49363, 49367, 
49369, 49391, 49393, 49409, 49411, 49417, 49429, 49433, 
49451, 49459, 49463, 49477, 49481, 49499, 49523, 49529, 
49531, 49537, 49547, 49549, 49559, 49597, 49603, 49613, 
49627, 49633, 49639, 49663, 49667, 49669, 49681, 49697, 
49711, 49727, 49739, 49741, 49747, 49757, 49783, 49787, 
49789, 49801, 49807, 49811, 49823, 49831, 49843, 49853, 
49871, 49877, 49891, 49919, 49921, 49927, 49937, 49939, 
49943, 49957, 49991, 49993, 49999, 50021, 50023, 50033, 
50047, 50051, 50053, 50069, 50077, 50087, 50093, 50101, 
50111, 50119, 50123, 50129, 50131, 50147, 50153, 50159, 
50177, 50207, 50221, 50227, 50231, 50261, 50263, 50273, 
50287, 50291, 50311, 50321, 50329, 50333, 50341, 50359, 
50363, 50377, 50383, 50387, 50411, 50417, 50423, 50441, 
50459, 50461, 50497, 50503, 50513, 50527, 50539, 50543, 
50549, 50551, 50581, 50587, 50591, 50593, 50599, 50627, 
50647, 50651, 50671, 50683, 50707, 50723, 50741, 50753, 
50767, 50773, 50777, 50789, 50821, 50833, 50839, 50849, 
50857, 50867, 50873, 50891, 50893, 50909, 50923, 50929, 
50951, 50957, 50969, 50971, 50989, 50993, 51001, 51031, 
51043, 51047, 51059, 51061, 51071, 51109, 51131, 51133, 
51137, 51151, 51157, 51169, 51193, 51197, 51199, 51203, 
51217, 51229, 51239, 51241, 51257, 51263, 51283, 51287, 
51307, 51329, 51341, 51343, 51347, 51349, 51361, 51383, 
51407, 51413, 51419, 51421, 51427, 51431, 51437, 51439, 
51449, 51461, 51473, 51479, 51481, 51487, 51503, 51511, 
51517, 51521, 51539, 51551, 51563, 51577, 51581, 51593, 
51599, 51607, 51613, 51631, 51637, 51647, 51659, 51673, 
51679, 51683, 51691, 51713, 51719, 51721, 51749, 51767, 
51769, 51787, 51797, 51803, 51817, 51827, 51829, 51839, 
51853, 51859, 51869, 51871, 51893, 51899, 51907, 51913, 
51929, 51941, 51949, 51971, 51973, 51977, 51991, 52009, 
52021, 52027, 52051, 52057, 52067, 52069, 52081, 52103, 
52121, 52127, 52147, 52153, 52163, 52177, 52181, 52183, 
52189, 52201, 52223, 52237, 52249, 52253, 52259, 52267, 
52289, 52291, 52301, 52313, 52321, 52361, 52363, 52369, 
52379, 52387, 52391, 52433, 52453, 52457, 52489, 52501, 
52511, 52517, 52529, 52541, 52543, 52553, 52561, 52567, 
52571, 52579, 52583, 52609, 52627, 52631, 52639, 52667, 
52673, 52691, 52697, 52709, 52711, 52721, 52727, 52733, 
52747, 52757, 52769, 52783, 52807, 52813, 52817, 52837, 
52859, 52861, 52879, 52883, 52889, 52901, 52903, 52919, 
52937, 52951, 52957, 52963, 52967, 52973, 52981, 52999, 
53003, 53017, 53047, 53051, 53069, 53077, 53087, 53089, 
53093, 53101, 53113, 53117, 53129, 53147, 53149, 53161, 
53171, 53173, 53189, 53197, 53201, 53231, 53233, 53239, 
53267, 53269, 53279, 53281, 53299, 53309, 53323, 53327, 
53353, 53359, 53377, 53381, 53401, 53407, 53411, 53419, 
53437, 53441, 53453, 53479, 53503, 53507, 53527, 53549, 
53551, 53569, 53591, 53593, 53597, 53609, 53611, 53617, 
53623, 53629, 53633, 53639, 53653, 53657, 53681, 53693, 
53699, 53717, 53719, 53731, 53759, 53773, 53777, 53783, 
53791, 53813, 53819, 53831, 53849, 53857, 53861, 53881, 
53887, 53891, 53897, 53899, 53917, 53923, 53927, 53939, 
53951, 53959, 53987, 53993, 54001, 54011, 54013, 54037, 
54049, 54059, 54083, 54091, 54101, 54121, 54133, 54139, 
54151, 54163, 54167, 54181, 54193, 54217, 54251, 54269, 
54277, 54287, 54293, 54311, 54319, 54323, 54331, 54347, 
54361, 54367, 54371, 54377, 54401, 54403, 54409, 54413, 
54419, 54421, 54437, 54443, 54449, 54469, 54493, 54497, 
54499, 54503, 54517, 54521, 54539, 54541, 54547, 54559, 
54563, 54577, 54581, 54583, 54601, 54617, 54623, 54629, 
54631, 54647, 54667, 54673, 54679, 54709, 54713, 54721, 
54727, 54751, 54767, 54773, 54779, 54787, 54799, 54829, 
54833, 54851, 54869, 54877, 54881, 54907, 54917, 54919, 
54941, 54949, 54959, 54973, 54979, 54983, 55001, 55009, 
55021, 55049, 55051, 55057, 55061, 55073, 55079, 55103, 
55109, 55117, 55127, 55147, 55163, 55171, 55201, 55207, 
55213, 55217, 55219, 55229, 55243, 55249, 55259, 55291, 
55313, 55331, 55333, 55337, 55339, 55343, 55351, 55373, 
55381, 55399, 55411, 55439, 55441, 55457, 55469, 55487, 
55501, 55511, 55529, 55541, 55547, 55579, 55589, 55603, 
55609, 55619, 55621, 55631, 55633, 55639, 55661, 55663, 
55667, 55673, 55681, 55691, 55697, 55711, 55717, 55721, 
55733, 55763, 55787, 55793, 55799, 55807, 55813, 55817, 
55819, 55823, 55829, 55837, 55843, 55849, 55871, 55889, 
55897, 55901, 55903, 55921, 55927, 55931, 55933, 55949, 
55967, 55987, 55997, 56003, 56009, 56039, 56041, 56053, 
56081, 56087, 56093, 56099, 56101, 56113, 56123, 56131, 
56149, 56167, 56171, 56179, 56197, 56207, 56209, 56237, 
56239, 56249, 56263, 56267, 56269, 56299, 56311, 56333, 
56359, 56369, 56377, 56383, 56393, 56401, 56417, 56431, 
56437, 56443, 56453, 56467, 56473, 56477, 56479, 56489, 
56501, 56503, 56509, 56519, 56527, 56531, 56533, 56543, 
56569, 56591, 56597, 56599, 56611, 56629, 56633, 56659, 
56663, 56671, 56681, 56687, 56701, 56711, 56713, 56731, 
56737, 56747, 56767, 56773, 56779, 56783, 56807, 56809, 
56813, 56821, 56827, 56843, 56857, 56873, 56891, 56893, 
56897, 56909, 56911, 56921, 56923, 56929, 56941, 56951, 
56957, 56963, 56983, 56989, 56993, 56999, 57037, 57041, 
57047, 57059, 57073, 57077, 57089, 57097, 57107, 57119, 
57131, 57139, 57143, 57149, 57163, 57173, 57179, 57191, 
57193, 57203, 57221, 57223, 57241, 57251, 57259, 57269, 
57271, 57283, 57287, 57301, 57329, 57331, 57347, 57349, 
57367, 57373, 57383, 57389, 57397, 57413, 57427, 57457, 
57467, 57487, 57493, 57503, 57527, 57529, 57557, 57559, 
57571, 57587, 57593, 57601, 57637, 57641, 57649, 57653, 
57667, 57679, 57689, 57697, 57709, 57713, 57719, 57727, 
57731, 57737, 57751, 57773, 57781, 57787, 57791, 57793, 
57803, 57809, 57829, 57839, 57847, 57853, 57859, 57881, 
57899, 57901, 57917, 57923, 57943, 57947, 57973, 57977, 
57991, 58013, 58027, 58031, 58043, 58049, 58057, 58061, 
58067, 58073, 58099, 58109, 58111, 58129, 58147, 58151, 
58153, 58169, 58171, 58189, 58193, 58199, 58207, 58211, 
58217, 58229, 58231, 58237, 58243, 58271, 58309, 58313, 
58321, 58337, 58363, 58367, 58369, 58379, 58391, 58393, 
58403, 58411, 58417, 58427, 58439, 58441, 58451, 58453, 
58477, 58481, 58511, 58537, 58543, 58549, 58567, 58573, 
58579, 58601, 58603, 58613, 58631, 58657, 58661, 58679, 
58687, 58693, 58699, 58711, 58727, 58733, 58741, 58757, 
58763, 58771, 58787, 58789, 58831, 58889, 58897, 58901, 
58907, 58909, 58913, 58921, 58937, 58943, 58963, 58967, 
58979, 58991, 58997, 59009, 59011, 59021, 59023, 59029, 
59051, 59053, 59063, 59069, 59077, 59083, 59093, 59107, 
59113, 59119, 59123, 59141, 59149, 59159, 59167, 59183, 
59197, 59207, 59209, 59219, 59221, 59233, 59239, 59243, 
59263, 59273, 59281, 59333, 59341, 59351, 59357, 59359, 
59369, 59377, 59387, 59393, 59399, 59407, 59417, 59419, 
59441, 59443, 59447, 59453, 59467, 59471, 59473, 59497, 
59509, 59513, 59539, 59557, 59561, 59567, 59581, 59611, 
59617, 59621, 59627, 59629, 59651, 59659, 59663, 59669, 
59671, 59693, 59699, 59707, 59723, 59729, 59743, 59747, 
59753, 59771, 59779, 59791, 59797, 59809, 59833, 59863, 
59879, 59887, 59921, 59929, 59951, 59957, 59971, 59981, 
59999, 60013, 60017, 60029, 60037, 60041, 60077, 60083, 
60089, 60091, 60101, 60103, 60107, 60127, 60133, 60139, 
60149, 60161, 60167, 60169, 60209, 60217, 60223, 60251, 
60257, 60259, 60271, 60289, 60293, 60317, 60331, 60337, 
60343, 60353, 60373, 60383, 60397, 60413, 60427, 60443, 
60449, 60457, 60493, 60497, 60509, 60521, 60527, 60539, 
60589, 60601, 60607, 60611, 60617, 60623, 60631, 60637, 
60647, 60649, 60659, 60661, 60679, 60689, 60703, 60719, 
60727, 60733, 60737, 60757, 60761, 60763, 60773, 60779, 
60793, 60811, 60821, 60859, 60869, 60887, 60889, 60899, 
60901, 60913, 60917, 60919, 60923, 60937, 60943, 60953, 
60961, 61001, 61007, 61027, 61031, 61043, 61051, 61057, 
61091, 61099, 61121, 61129, 61141, 61151, 61153, 61169, 
61211, 61223, 61231, 61253, 61261, 61283, 61291, 61297, 
61331, 61333, 61339, 61343, 61357, 61363, 61379, 61381, 
61403, 61409, 61417, 61441, 61463, 61469, 61471, 61483, 
61487, 61493, 61507, 61511, 61519, 61543, 61547, 61553, 
61559, 61561, 61583, 61603, 61609, 61613, 61627, 61631, 
61637, 61643, 61651, 61657, 61667, 61673, 61681, 61687, 
61703, 61717, 61723, 61729, 61751, 61757, 61781, 61813, 
61819, 61837, 61843, 61861, 61871, 61879, 61909, 61927, 
61933, 61949, 61961, 61967, 61979, 61981, 61987, 61991, 
62003, 62011, 62017, 62039, 62047, 62053, 62057, 62071, 
62081, 62099, 62119, 62129, 62131, 62137, 62141, 62143, 
62171, 62189, 62191, 62201, 62207, 62213, 62219, 62233, 
62273, 62297, 62299, 62303, 62311, 62323, 62327, 62347, 
62351, 62383, 62401, 62417, 62423, 62459, 62467, 62473, 
62477, 62483, 62497, 62501, 62507, 62533, 62539, 62549, 
62563, 62581, 62591, 62597, 62603, 62617, 62627, 62633, 
62639, 62653, 62659, 62683, 62687, 62701, 62723, 62731, 
62743, 62753, 62761, 62773, 62791, 62801, 62819, 62827, 
62851, 62861, 62869, 62873, 62897, 62903, 62921, 62927, 
62929, 62939, 62969, 62971, 62981, 62983, 62987, 62989, 
63029, 63031, 63059, 63067, 63073, 63079, 63097, 63103, 
63113, 63127, 63131, 63149, 63179, 63197, 63199, 63211, 
63241, 63247, 63277, 63281, 63299, 63311, 63313, 63317, 
63331, 63337, 63347, 63353, 63361, 63367, 63377, 63389, 
63391, 63397, 63409, 63419, 63421, 63439, 63443, 63463, 
63467, 63473, 63487, 63493, 63499, 63521, 63527, 63533, 
63541, 63559, 63577, 63587, 63589, 63599, 63601, 63607, 
63611, 63617, 63629, 63647, 63649, 63659, 63667, 63671, 
63689, 63691, 63697, 63703, 63709, 63719, 63727, 63737, 
63743, 63761, 63773, 63781, 63793, 63799, 63803, 63809, 
63823, 63839, 63841, 63853, 63857, 63863, 63901, 63907, 
63913, 63929, 63949, 63977, 63997, 64007, 64013, 64019, 
64033, 64037, 64063, 64067, 64081, 64091, 64109, 64123, 
64151, 64153, 64157, 64171, 64187, 64189, 64217, 64223, 
64231, 64237, 64271, 64279, 64283, 64301, 64303, 64319, 
64327, 64333, 64373, 64381, 64399, 64403, 64433, 64439, 
64451, 64453, 64483, 64489, 64499, 64513, 64553, 64567, 
64577, 64579, 64591, 64601, 64609, 64613, 64621, 64627, 
64633, 64661, 64663, 64667, 64679, 64693, 64709, 64717, 
64747, 64763, 64781, 64783, 64793, 64811, 64817, 64849, 
64853, 64871, 64877, 64879, 64891, 64901, 64919, 64921, 
64927, 64937, 64951, 64969, 64997, 65003, 65011, 65027, 
65029, 65033, 65053, 65063, 65071, 65089, 65099, 65101, 
65111, 65119, 65123, 65129, 65141, 65147, 65167, 65171, 
65173, 65179, 65183, 65203, 65213, 65239, 65257, 65267, 
65269, 65287, 65293, 65309, 65323, 65327, 65353, 65357, 
65371, 65381, 65393, 65407, 65413, 65419, 65423, 65437, 
65447, 65449, 65479, 65497, 65519, 65521, 65537, 65539, 
65543, 65551, 65557, 65563, 65579, 65581, 65587, 65599, 
65609, 65617, 65629, 65633, 65647, 65651, 65657, 65677, 
65687, 65699, 65701, 65707, 65713, 65717, 65719, 65729, 
65731, 65761, 65777, 65789, 65809, 65827, 65831, 65837, 
65839, 65843, 65851, 65867, 65881, 65899, 65921, 65927, 
65929, 65951, 65957, 65963, 65981, 65983, 65993, 66029, 
66037, 66041, 66047, 66067, 66071, 66083, 66089, 66103, 
66107, 66109, 66137, 66161, 66169, 66173, 66179, 66191, 
66221, 66239, 66271, 66293, 66301, 66337, 66343, 66347, 
66359, 66361, 66373, 66377, 66383, 66403, 66413, 66431, 
66449, 66457, 66463, 66467, 66491, 66499, 66509, 66523, 
66529, 66533, 66541, 66553, 66569, 66571, 66587, 66593, 
66601, 66617, 66629, 66643, 66653, 66683, 66697, 66701, 
66713, 66721, 66733, 66739, 66749, 66751, 66763, 66791, 
66797, 66809, 66821, 66841, 66851, 66853, 66863, 66877, 
66883, 66889, 66919, 66923, 66931, 66943, 66947, 66949, 
66959, 66973, 66977, 67003, 67021, 67033, 67043, 67049, 
67057, 67061, 67073, 67079, 67103, 67121, 67129, 67139, 
67141, 67153, 67157, 67169, 67181, 67187, 67189, 67211, 
67213, 67217, 67219, 67231, 67247, 67261, 67271, 67273, 
67289, 67307, 67339, 67343, 67349, 67369, 67391, 67399, 
67409, 67411, 67421, 67427, 67429, 67433, 67447, 67453, 
67477, 67481, 67489, 67493, 67499, 67511, 67523, 67531, 
67537, 67547, 67559, 67567, 67577, 67579, 67589, 67601, 
67607, 67619, 67631, 67651, 67679, 67699, 67709, 67723, 
67733, 67741, 67751, 67757, 67759, 67763, 67777, 67783, 
67789, 67801, 67807, 67819, 67829, 67843, 67853, 67867, 
67883, 67891, 67901, 67927, 67931, 67933, 67939, 67943, 
67957, 67961, 67967, 67979, 67987, 67993, 68023, 68041, 
68053, 68059, 68071, 68087, 68099, 68111, 68113, 68141, 
68147, 68161, 68171, 68207, 68209, 68213, 68219, 68227, 
68239, 68261, 68279, 68281, 68311, 68329, 68351, 68371, 
68389, 68399, 68437, 68443, 68447, 68449, 68473, 68477, 
68483, 68489, 68491, 68501, 68507, 68521, 68531, 68539, 
68543, 68567, 68581, 68597, 68611, 68633, 68639, 68659, 
68669, 68683, 68687, 68699, 68711, 68713, 68729, 68737, 
68743, 68749, 68767, 68771, 68777, 68791, 68813, 68819, 
68821, 68863, 68879, 68881, 68891, 68897, 68899, 68903, 
68909, 68917, 68927, 68947, 68963, 68993, 69001, 69011, 
69019, 69029, 69031, 69061, 69067, 69073, 69109, 69119, 
69127, 69143, 69149, 69151, 69163, 69191, 69193, 69197, 
69203, 69221, 69233, 69239, 69247, 69257, 69259, 69263, 
69313, 69317, 69337, 69341, 69371, 69379, 69383, 69389, 
69401, 69403, 69427, 69431, 69439, 69457, 69463, 69467, 
69473, 69481, 69491, 69493, 69497, 69499, 69539, 69557, 
69593, 69623, 69653, 69661, 69677, 69691, 69697, 69709, 
69737, 69739, 69761, 69763, 69767, 69779, 69809, 69821, 
69827, 69829, 69833, 69847, 69857, 69859, 69877, 69899, 
69911, 69929, 69931, 69941, 69959, 69991, 69997, 70001, 
70003, 70009, 70019, 70039, 70051, 70061, 70067, 70079, 
70099, 70111, 70117, 70121, 70123, 70139, 70141, 70157, 
70163, 70177, 70181, 70183, 70199, 70201, 70207, 70223, 
70229, 70237, 70241, 70249, 70271, 70289, 70297, 70309, 
70313, 70321, 70327, 70351, 70373, 70379, 70381, 70393, 
70423, 70429, 70439, 70451, 70457, 70459, 70481, 70487, 
70489, 70501, 70507, 70529, 70537, 70549, 70571, 70573, 
70583, 70589, 70607, 70619, 70621, 70627, 70639, 70657, 
70663, 70667, 70687, 70709, 70717, 70729, 70753, 70769, 
70783, 70793, 70823, 70841, 70843, 70849, 70853, 70867, 
70877, 70879, 70891, 70901, 70913, 70919, 70921, 70937, 
70949, 70951, 70957, 70969, 70979, 70981, 70991, 70997, 
70999, 71011, 71023, 71039, 71059, 71069, 71081, 71089, 
71119, 71129, 71143, 71147, 71153, 71161, 71167, 71171, 
71191, 71209, 71233, 71237, 71249, 71257, 71261, 71263, 
71287, 71293, 71317, 71327, 71329, 71333, 71339, 71341, 
71347, 71353, 71359, 71363, 71387, 71389, 71399, 71411, 
71413, 71419, 71429, 71437, 71443, 71453, 71471, 71473, 
71479, 71483, 71503, 71527, 71537, 71549, 71551, 71563, 
71569, 71593, 71597, 71633, 71647, 71663, 71671, 71693, 
71699, 71707, 71711, 71713, 71719, 71741, 71761, 71777, 
71789, 71807, 71809, 71821, 71837, 71843, 71849, 71861, 
71867, 71879, 71881, 71887, 71899, 71909, 71917, 71933, 
71941, 71947, 71963, 71971, 71983, 71987, 71993, 71999, 
72019, 72031, 72043, 72047, 72053, 72073, 72077, 72089, 
72091, 72101, 72103, 72109, 72139, 72161, 72167, 72169, 
72173, 72211, 72221, 72223, 72227, 72229, 72251, 72253, 
72269, 72271, 72277, 72287, 72307, 72313, 72337, 72341, 
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72559, 72577, 72613, 72617, 72623, 72643, 72647, 72649, 
72661, 72671, 72673, 72679, 72689, 72701, 72707, 72719, 
72727, 72733, 72739, 72763, 72767, 72797, 72817, 72823, 
72859, 72869, 72871, 72883, 72889, 72893, 72901, 72907, 
72911, 72923, 72931, 72937, 72949, 72953, 72959, 72973, 
72977, 72997, 73009, 73013, 73019, 73037, 73039, 73043, 
73061, 73063, 73079, 73091, 73121, 73127, 73133, 73141, 
73181, 73189, 73237, 73243, 73259, 73277, 73291, 73303, 
73309, 73327, 73331, 73351, 73361, 73363, 73369, 73379, 
73387, 73417, 73421, 73433, 73453, 73459, 73471, 73477, 
73483, 73517, 73523, 73529, 73547, 73553, 73561, 73571, 
73583, 73589, 73597, 73607, 73609, 73613, 73637, 73643, 
73651, 73673, 73679, 73681, 73693, 73699, 73709, 73721, 
73727, 73751, 73757, 73771, 73783, 73819, 73823, 73847, 
73849, 73859, 73867, 73877, 73883, 73897, 73907, 73939, 
73943, 73951, 73961, 73973, 73999, 74017, 74021, 74027, 
74047, 74051, 74071, 74077, 74093, 74099, 74101, 74131, 
74143, 74149, 74159, 74161, 74167, 74177, 74189, 74197, 
74201, 74203, 74209, 74219, 74231, 74257, 74279, 74287, 
74293, 74297, 74311, 74317, 74323, 74353, 74357, 74363, 
74377, 74381, 74383, 74411, 74413, 74419, 74441, 74449, 
74453, 74471, 74489, 74507, 74509, 74521, 74527, 74531, 
74551, 74561, 74567, 74573, 74587, 74597, 74609, 74611, 
74623, 74653, 74687, 74699, 74707, 74713, 74717, 74719, 
74729, 74731, 74747, 74759, 74761, 74771, 74779, 74797, 
74821, 74827, 74831, 74843, 74857, 74861, 74869, 74873, 
74887, 74891, 74897, 74903, 74923, 74929, 74933, 74941, 
74959, 75011, 75013, 75017, 75029, 75037, 75041, 75079, 
75083, 75109, 75133, 75149, 75161, 75167, 75169, 75181, 
75193, 75209, 75211, 75217, 75223, 75227, 75239, 75253, 
75269, 75277, 75289, 75307, 75323, 75329, 75337, 75347, 
75353, 75367, 75377, 75389, 75391, 75401, 75403, 75407, 
75431, 75437, 75479, 75503, 75511, 75521, 75527, 75533, 
75539, 75541, 75553, 75557, 75571, 75577, 75583, 75611, 
75617, 75619, 75629, 75641, 75653, 75659, 75679, 75683, 
75689, 75703, 75707, 75709, 75721, 75731, 75743, 75767, 
75773, 75781, 75787, 75793, 75797, 75821, 75833, 75853, 
75869, 75883, 75913, 75931, 75937, 75941, 75967, 75979, 
75983, 75989, 75991, 75997, 76001, 76003, 76031, 76039, 
76079, 76081, 76091, 76099, 76103, 76123, 76129, 76147, 
76157, 76159, 76163, 76207, 76213, 76231, 76243, 76249, 
76253, 76259, 76261, 76283, 76289, 76303, 76333, 76343, 
76367, 76369, 76379, 76387, 76403, 76421, 76423, 76441, 
76463, 76471, 76481, 76487, 76493, 76507, 76511, 76519, 
76537, 76541, 76543, 76561, 76579, 76597, 76603, 76607, 
76631, 76649, 76651, 76667, 76673, 76679, 76697, 76717, 
76733, 76753, 76757, 76771, 76777, 76781, 76801, 76819, 
76829, 76831, 76837, 76847, 76871, 76873, 76883, 76907, 
76913, 76919, 76943, 76949, 76961, 76963, 76991, 77003, 
77017, 77023, 77029, 77041, 77047, 77069, 77081, 77093, 
77101, 77137, 77141, 77153, 77167, 77171, 77191, 77201, 
77213, 77237, 77239, 77243, 77249, 77261, 77263, 77267, 
77269, 77279, 77291, 77317, 77323, 77339, 77347, 77351, 
77359, 77369, 77377, 77383, 77417, 77419, 77431, 77447, 
77471, 77477, 77479, 77489, 77491, 77509, 77513, 77521, 
77527, 77543, 77549, 77551, 77557, 77563, 77569, 77573, 
77587, 77591, 77611, 77617, 77621, 77641, 77647, 77659, 
77681, 77687, 77689, 77699, 77711, 77713, 77719, 77723, 
77731, 77743, 77747, 77761, 77773, 77783, 77797, 77801, 
77813, 77839, 77849, 77863, 77867, 77893, 77899, 77929, 
77933, 77951, 77969, 77977, 77983, 77999, 78007, 78017, 
78031, 78041, 78049, 78059, 78079, 78101, 78121, 78137, 
78139, 78157, 78163, 78167, 78173, 78179, 78191, 78193, 
78203, 78229, 78233, 78241, 78259, 78277, 78283, 78301, 
78307, 78311, 78317, 78341, 78347, 78367, 78401, 78427, 
78437, 78439, 78467, 78479, 78487, 78497, 78509, 78511, 
78517, 78539, 78541, 78553, 78569, 78571, 78577, 78583, 
78593, 78607, 78623, 78643, 78649, 78653, 78691, 78697, 
78707, 78713, 78721, 78737, 78779, 78781, 78787, 78791, 
78797, 78803, 78809, 78823, 78839, 78853, 78857, 78877, 
78887, 78889, 78893, 78901, 78919, 78929, 78941, 78977, 
78979, 78989, 79031, 79039, 79043, 79063, 79087, 79103, 
79111, 79133, 79139, 79147, 79151, 79153, 79159, 79181, 
79187, 79193, 79201, 79229, 79231, 79241, 79259, 79273, 
79279, 79283, 79301, 79309, 79319, 79333, 79337, 79349, 
79357, 79367, 79379, 79393, 79397, 79399, 79411, 79423, 
79427, 79433, 79451, 79481, 79493, 79531, 79537, 79549, 
79559, 79561, 79579, 79589, 79601, 79609, 79613, 79621, 
79627, 79631, 79633, 79657, 79669, 79687, 79691, 79693, 
79697, 79699, 79757, 79769, 79777, 79801, 79811, 79813, 
79817, 79823, 79829, 79841, 79843, 79847, 79861, 79867, 
79873, 79889, 79901, 79903, 79907, 79939, 79943, 79967, 
79973, 79979, 79987, 79997, 79999, 80021, 80039, 80051, 
80071, 80077, 80107, 80111, 80141, 80147, 80149, 80153, 
80167, 80173, 80177, 80191, 80207, 80209, 80221, 80231, 
80233, 80239, 80251, 80263, 80273, 80279, 80287, 80309, 
80317, 80329, 80341, 80347, 80363, 80369, 80387, 80407, 
80429, 80447, 80449, 80471, 80473, 80489, 80491, 80513, 
80527, 80537, 80557, 80567, 80599, 80603, 80611, 80621, 
80627, 80629, 80651, 80657, 80669, 80671, 80677, 80681, 
80683, 80687, 80701, 80713, 80737, 80747, 80749, 80761, 
80777, 80779, 80783, 80789, 80803, 80809, 80819, 80831, 
80833, 80849, 80863, 80897, 80909, 80911, 80917, 80923, 
80929, 80933, 80953, 80963, 80989, 81001, 81013, 81017, 
81019, 81023, 81031, 81041, 81043, 81047, 81049, 81071, 
81077, 81083, 81097, 81101, 81119, 81131, 81157, 81163, 
81173, 81181, 81197, 81199, 81203, 81223, 81233, 81239, 
81281, 81283, 81293, 81299, 81307, 81331, 81343, 81349, 
81353, 81359, 81371, 81373, 81401, 81409, 81421, 81439, 
81457, 81463, 81509, 81517, 81527, 81533, 81547, 81551, 
81553, 81559, 81563, 81569, 81611, 81619, 81629, 81637, 
81647, 81649, 81667, 81671, 81677, 81689, 81701, 81703, 
81707, 81727, 81737, 81749, 81761, 81769, 81773, 81799, 
81817, 81839, 81847, 81853, 81869, 81883, 81899, 81901, 
81919, 81929, 81931, 81937, 81943, 81953, 81967, 81971, 
81973, 82003, 82007, 82009, 82013, 82021, 82031, 82037, 
82039, 82051, 82067, 82073, 82129, 82139, 82141, 82153, 
82163, 82171, 82183, 82189, 82193, 82207, 82217, 82219, 
82223, 82231, 82237, 82241, 82261, 82267, 82279, 82301, 
82307, 82339, 82349, 82351, 82361, 82373, 82387, 82393, 
82421, 82457, 82463, 82469, 82471, 82483, 82487, 82493, 
82499, 82507, 82529, 82531, 82549, 82559, 82561, 82567, 
82571, 82591, 82601, 82609, 82613, 82619, 82633, 82651, 
82657, 82699, 82721, 82723, 82727, 82729, 82757, 82759, 
82763, 82781, 82787, 82793, 82799, 82811, 82813, 82837, 
82847, 82883, 82889, 82891, 82903, 82913, 82939, 82963, 
82981, 82997, 83003, 83009, 83023, 83047, 83059, 83063, 
83071, 83077, 83089, 83093, 83101, 83117, 83137, 83177, 
83203, 83207, 83219, 83221, 83227, 83231, 83233, 83243, 
83257, 83267, 83269, 83273, 83299, 83311, 83339, 83341, 
83357, 83383, 83389, 83399, 83401, 83407, 83417, 83423, 
83431, 83437, 83443, 83449, 83459, 83471, 83477, 83497, 
83537, 83557, 83561, 83563, 83579, 83591, 83597, 83609, 
83617, 83621, 83639, 83641, 83653, 83663, 83689, 83701, 
83717, 83719, 83737, 83761, 83773, 83777, 83791, 83813, 
83833, 83843, 83857, 83869, 83873, 83891, 83903, 83911, 
83921, 83933, 83939, 83969, 83983, 83987, 84011, 84017, 
84047, 84053, 84059, 84061, 84067, 84089, 84121, 84127, 
84131, 84137, 84143, 84163, 84179, 84181, 84191, 84199, 
84211, 84221, 84223, 84229, 84239, 84247, 84263, 84299, 
84307, 84313, 84317, 84319, 84347, 84349, 84377, 84389, 
84391, 84401, 84407, 84421, 84431, 84437, 84443, 84449, 
84457, 84463, 84467, 84481, 84499, 84503, 84509, 84521, 
84523, 84533, 84551, 84559, 84589, 84629, 84631, 84649, 
84653, 84659, 84673, 84691, 84697, 84701, 84713, 84719, 
84731, 84737, 84751, 84761, 84787, 84793, 84809, 84811, 
84827, 84857, 84859, 84869, 84871, 84913, 84919, 84947, 
84961, 84967, 84977, 84979, 84991, 85009, 85021, 85027, 
85037, 85049, 85061, 85081, 85087, 85091, 85093, 85103, 
85109, 85121, 85133, 85147, 85159, 85193, 85199, 85201, 
85213, 85223, 85229, 85237, 85243, 85247, 85259, 85297, 
85303, 85313, 85331, 85333, 85361, 85363, 85369, 85381, 
85411, 85427, 85429, 85439, 85447, 85451, 85453, 85469, 
85487, 85513, 85517, 85523, 85531, 85549, 85571, 85577, 
85597, 85601, 85607, 85619, 85621, 85627, 85639, 85643, 
85661, 85667, 85669, 85691, 85703, 85711, 85717, 85733, 
85751, 85781, 85793, 85817, 85819, 85829, 85831, 85837, 
85843, 85847, 85853, 85889, 85903, 85909, 85931, 85933, 
85991, 85999, 86011, 86017, 86027, 86029, 86069, 86077, 
86083, 86111, 86113, 86117, 86131, 86137, 86143, 86161, 
86171, 86179, 86183, 86197, 86201, 86209, 86239, 86243, 
86249, 86257, 86263, 86269, 86287, 86291, 86293, 86297, 
86311, 86323, 86341, 86351, 86353, 86357, 86369, 86371, 
86381, 86389, 86399, 86413, 86423, 86441, 86453, 86461, 
86467, 86477, 86491, 86501, 86509, 86531, 86533, 86539, 
86561, 86573, 86579, 86587, 86599, 86627, 86629, 86677, 
86689, 86693, 86711, 86719, 86729, 86743, 86753, 86767, 
86771, 86783, 86813, 86837, 86843, 86851, 86857, 86861, 
86869, 86923, 86927, 86929, 86939, 86951, 86959, 86969, 
86981, 86993, 87011, 87013, 87037, 87041, 87049, 87071, 
87083, 87103, 87107, 87119, 87121, 87133, 87149, 87151, 
87179, 87181, 87187, 87211, 87221, 87223, 87251, 87253, 
87257, 87277, 87281, 87293, 87299, 87313, 87317, 87323, 
87337, 87359, 87383, 87403, 87407, 87421, 87427, 87433, 
87443, 87473, 87481, 87491, 87509, 87511, 87517, 87523, 
87539, 87541, 87547, 87553, 87557, 87559, 87583, 87587, 
87589, 87613, 87623, 87629, 87631, 87641, 87643, 87649, 
87671, 87679, 87683, 87691, 87697, 87701, 87719, 87721, 
87739, 87743, 87751, 87767, 87793, 87797, 87803, 87811, 
87833, 87853, 87869, 87877, 87881, 87887, 87911, 87917, 
87931, 87943, 87959, 87961, 87973, 87977, 87991, 88001, 
88003, 88007, 88019, 88037, 88069, 88079, 88093, 88117, 
88129, 88169, 88177, 88211, 88223, 88237, 88241, 88259, 
88261, 88289, 88301, 88321, 88327, 88337, 88339, 88379, 
88397, 88411, 88423, 88427, 88463, 88469, 88471, 88493, 
88499, 88513, 88523, 88547, 88589, 88591, 88607, 88609, 
88643, 88651, 88657, 88661, 88663, 88667, 88681, 88721, 
88729, 88741, 88747, 88771, 88789, 88793, 88799, 88801, 
88807, 88811, 88813, 88817, 88819, 88843, 88853, 88861, 
88867, 88873, 88883, 88897, 88903, 88919, 88937, 88951, 
88969, 88993, 88997, 89003, 89009, 89017, 89021, 89041, 
89051, 89057, 89069, 89071, 89083, 89087, 89101, 89107, 
89113, 89119, 89123, 89137, 89153, 89189, 89203, 89209, 
89213, 89227, 89231, 89237, 89261, 89269, 89273, 89293, 
89303, 89317, 89329, 89363, 89371, 89381, 89387, 89393, 
89399, 89413, 89417, 89431, 89443, 89449, 89459, 89477, 
89491, 89501, 89513, 89519, 89521, 89527, 89533, 89561, 
89563, 89567, 89591, 89597, 89599, 89603, 89611, 89627, 
89633, 89653, 89657, 89659, 89669, 89671, 89681, 89689, 
89753, 89759, 89767, 89779, 89783, 89797, 89809, 89819, 
89821, 89833, 89839, 89849, 89867, 89891, 89897, 89899, 
89909, 89917, 89923, 89939, 89959, 89963, 89977, 89983, 
89989, 90001, 90007, 90011, 90017, 90019, 90023, 90031, 
90053, 90059, 90067, 90071, 90073, 90089, 90107, 90121, 
90127, 90149, 90163, 90173, 90187, 90191, 90197, 90199, 
90203, 90217, 90227, 90239, 90247, 90263, 90271, 90281, 
90289, 90313, 90353, 90359, 90371, 90373, 90379, 90397, 
90401, 90403, 90407, 90437, 90439, 90469, 90473, 90481, 
90499, 90511, 90523, 90527, 90529, 90533, 90547, 90583, 
90599, 90617, 90619, 90631, 90641, 90647, 90659, 90677, 
90679, 90697, 90703, 90709, 90731, 90749, 90787, 90793, 
90803, 90821, 90823, 90833, 90841, 90847, 90863, 90887, 
90901, 90907, 90911, 90917, 90931, 90947, 90971, 90977, 
90989, 90997, 91009, 91019, 91033, 91079, 91081, 91097, 
91099, 91121, 91127, 91129, 91139, 91141, 91151, 91153, 
91159, 91163, 91183, 91193, 91199, 91229, 91237, 91243, 
91249, 91253, 91283, 91291, 91297, 91303, 91309, 91331, 
91367, 91369, 91373, 91381, 91387, 91393, 91397, 91411, 
91423, 91433, 91453, 91457, 91459, 91463, 91493, 91499, 
91513, 91529, 91541, 91571, 91573, 91577, 91583, 91591, 
91621, 91631, 91639, 91673, 91691, 91703, 91711, 91733, 
91753, 91757, 91771, 91781, 91801, 91807, 91811, 91813, 
91823, 91837, 91841, 91867, 91873, 91909, 91921, 91939, 
91943, 91951, 91957, 91961, 91967, 91969, 91997, 92003, 
92009, 92033, 92041, 92051, 92077, 92083, 92107, 92111, 
92119, 92143, 92153, 92173, 92177, 92179, 92189, 92203, 
92219, 92221, 92227, 92233, 92237, 92243, 92251, 92269, 
92297, 92311, 92317, 92333, 92347, 92353, 92357, 92363, 
92369, 92377, 92381, 92383, 92387, 92399, 92401, 92413, 
92419, 92431, 92459, 92461, 92467, 92479, 92489, 92503, 
92507, 92551, 92557, 92567, 92569, 92581, 92593, 92623, 
92627, 92639, 92641, 92647, 92657, 92669, 92671, 92681, 
92683, 92693, 92699, 92707, 92717, 92723, 92737, 92753, 
92761, 92767, 92779, 92789, 92791, 92801, 92809, 92821, 
92831, 92849, 92857, 92861, 92863, 92867, 92893, 92899, 
92921, 92927, 92941, 92951, 92957, 92959, 92987, 92993, 
93001, 93047, 93053, 93059, 93077, 93083, 93089, 93097, 
93103, 93113, 93131, 93133, 93139, 93151, 93169, 93179, 
93187, 93199, 93229, 93239, 93241, 93251, 93253, 93257, 
93263, 93281, 93283, 93287, 93307, 93319, 93323, 93329, 
93337, 93371, 93377, 93383, 93407, 93419, 93427, 93463, 
93479, 93481, 93487, 93491, 93493, 93497, 93503, 93523, 
93529, 93553, 93557, 93559, 93563, 93581, 93601, 93607, 
93629, 93637, 93683, 93701, 93703, 93719, 93739, 93761, 
93763, 93787, 93809, 93811, 93827, 93851, 93871, 93887, 
93889, 93893, 93901, 93911, 93913, 93923, 93937, 93941, 
93949, 93967, 93971, 93979, 93983, 93997, 94007, 94009, 
94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111, 
94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219, 
94229, 94253, 94261, 94273, 94291, 94307, 94309, 94321, 
94327, 94331, 94343, 94349, 94351, 94379, 94397, 94399, 
94421, 94427, 94433, 94439, 94441, 94447, 94463, 94477, 
94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559, 
94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 
94651, 94687, 94693, 94709, 94723, 94727, 94747, 94771, 
94777, 94781, 94789, 94793, 94811, 94819, 94823, 94837, 
94841, 94847, 94849, 94873, 94889, 94903, 94907, 94933, 
94949, 94951, 94961, 94993, 94999, 95003, 95009, 95021, 
95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101, 
95107, 95111, 95131, 95143, 95153, 95177, 95189, 95191, 
95203, 95213, 95219, 95231, 95233, 95239, 95257, 95261, 
95267, 95273, 95279, 95287, 95311, 95317, 95327, 95339, 
95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441, 
95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 
95531, 95539, 95549, 95561, 95569, 95581, 95597, 95603, 
95617, 95621, 95629, 95633, 95651, 95701, 95707, 95713, 
95717, 95723, 95731, 95737, 95747, 95773, 95783, 95789, 
95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873, 
95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957, 
95959, 95971, 95987, 95989, 96001, 96013, 96017, 96043, 
96053, 96059, 96079, 96097, 96137, 96149, 96157, 96167, 
96179, 96181, 96199, 96211, 96221, 96223, 96233, 96259, 
96263, 96269, 96281, 96289, 96293, 96323, 96329, 96331, 
96337, 96353, 96377, 96401, 96419, 96431, 96443, 96451, 
96457, 96461, 96469, 96479, 96487, 96493, 96497, 96517, 
96527, 96553, 96557, 96581, 96587, 96589, 96601, 96643, 
96661, 96667, 96671, 96697, 96703, 96731, 96737, 96739, 
96749, 96757, 96763, 96769, 96779, 96787, 96797, 96799, 
96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907, 
96911, 96931, 96953, 96959, 96973, 96979, 96989, 96997, 
97001, 97003, 97007, 97021, 97039, 97073, 97081, 97103, 
97117, 97127, 97151, 97157, 97159, 97169, 97171, 97177, 
97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303, 
97327, 97367, 97369, 97373, 97379, 97381, 97387, 97397, 
97423, 97429, 97441, 97453, 97459, 97463, 97499, 97501, 
97511, 97523, 97547, 97549, 97553, 97561, 97571, 97577, 
97579, 97583, 97607, 97609, 97613, 97649, 97651, 97673, 
97687, 97711, 97729, 97771, 97777, 97787, 97789, 97813, 
97829, 97841, 97843, 97847, 97849, 97859, 97861, 97871, 
97879, 97883, 97919, 97927, 97931, 97943, 97961, 97967, 
97973, 97987, 98009, 98011, 98017, 98041, 98047, 98057, 
98081, 98101, 98123, 98129, 98143, 98179, 98207, 98213, 
98221, 98227, 98251, 98257, 98269, 98297, 98299, 98317, 
98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389, 
98407, 98411, 98419, 98429, 98443, 98453, 98459, 98467, 
98473, 98479, 98491, 98507, 98519, 98533, 98543, 98561, 
98563, 98573, 98597, 98621, 98627, 98639, 98641, 98663, 
98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737, 
98773, 98779, 98801, 98807, 98809, 98837, 98849, 98867, 
98869, 98873, 98887, 98893, 98897, 98899, 98909, 98911, 
98927, 98929, 98939, 98947, 98953, 98963, 98981, 98993, 
98999, 99013, 99017, 99023, 99041, 99053, 99079, 99083, 
99089, 99103, 99109, 99119, 99131, 99133, 99137, 99139, 
99149, 99173, 99181, 99191, 99223, 99233, 99241, 99251, 
99257, 99259, 99277, 99289, 99317, 99347, 99349, 99367, 
99371, 99377, 99391, 99397, 99401, 99409, 99431, 99439, 
99469, 99487, 99497, 99523, 99527, 99529, 99551, 99559, 
99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643, 
99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719, 
99721, 99733, 99761, 99767, 99787, 99793, 99809, 99817, 
99823, 99829, 99833, 99839, 99859, 99871, 99877, 99881, 
99901, 99907, 99923, 99929, 99961, 99971, 99989, 99991

100

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1003

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1009

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1024

1025

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1038

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1069

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1071

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1073

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1080

1081

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1084

1085

1086

1087

1088

1089

1090

1091

1092

1093

1094

1095

1096

1097

1098

1099

1100

1101

1102

1103

1104

1105

1106

1107

1108

1109

1110

1111

1112

1113

1114

1115

1116

1117

1118

1119

1120

1121

1122

1123

1124

1125

1126

1127

1128

1129

1130

1131

1132

1133

1134

1135

1136

1137

1138

1139

1140

1141

1142

1143

1144

1145

1146

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1149

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1151

1152

1153

1154

1155

1156

1157

1158

1159

1160

1161

1162

1163

1164

1165

1166

1167

1168

1169

1170

1171

1172

1173

1174

1175

1176

1177

1178

1179

1180

1181

1182

1183

1184

1185

1186

1187

1188

1189

1190

1191

1192

1193

1194

1195

1196

1197

1198

1199

2, 3, 5, 7, 11, 13, 17, 19,

23, 29, 31, 37, 41, 43, 47, 53,

59, 61, 67, 71, 73, 79, 83, 89,

97, 101, 103, 107, 109, 113, 127, 131,

137, 139, 149, 151, 157, 163, 167, 173,

179, 181, 191, 193, 197, 199, 211, 223,

227, 229, 233, 239, 241, 251, 257, 263,

269, 271, 277, 281, 283, 293, 307, 311,

313, 317, 331, 337, 347, 349, 353, 359,

367, 373, 379, 383, 389, 397, 401, 409,

419, 421, 431, 433, 439, 443, 449, 457,

461, 463, 467, 479, 487, 491, 499, 503,

509, 521, 523, 541, 547, 557, 563, 569,

571, 577, 587, 593, 599, 601, 607, 613,

617, 619, 631, 641, 643, 647, 653, 659,

661, 673, 677, 683, 691, 701, 709, 719,

727, 733, 739, 743, 751, 757, 761, 769,

773, 787, 797, 809, 811, 821, 823, 827,

829, 839, 853, 857, 859, 863, 877, 881,

883, 887, 907, 911, 919, 929, 937, 941,

947, 953, 967, 971, 977, 983, 991, 997,

1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049,

1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097,

1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163,

1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223,

1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283,

1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321,

1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423,

1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459,

1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511,

1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571,

1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619,

1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693,

1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747,

1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811,

1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877,

1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949,

1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003,

2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069,

2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129,

2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203,

2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267,

2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311,

2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377,

2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423,

2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503,

2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579,

2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657,

2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693,

2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741,

2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801,

2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861,

2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939,

2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011,

3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079,

3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167,

3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221,

3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301,

3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347,

3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413,

3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491,

3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541,

3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607,

3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671,

3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727,

3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797,

3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863,

3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923,

3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003,

4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057,

4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129,

4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211,

4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259,

4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337,

4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409,

4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481,

4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547,

4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621,

4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673,

4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751,

4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813,

4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909,

4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967,

4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011,

5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087,

5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167,

5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233,

5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309,

5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399,

5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443,

5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507,

5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573,

5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653,

5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711,

5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791,

5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849,

5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897,

5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007,

6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073,

6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133,

6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211,

6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271,

6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329,

6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379,

6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473,

6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563,

6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637,

6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701,

6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779,

6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833,

6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907,

6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971,

6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027,

7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121,

7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207,

7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253,

7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349,

7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457,

7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517,

7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561,

7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621,

7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691,

7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757,

7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853,

7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919,

7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009,

8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087,

8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161,

8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231,

8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291,

8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369,

8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443,

8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537,

8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609,

8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677,

8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731,

8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803,

8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861,

8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941,

8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011,

9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091,

9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161,

9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227,

9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311,

9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377,

9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433,

9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491,

9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587,

9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649,

9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733,

9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791,

9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857,

9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929,

9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037,

10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099,

10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163,

10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247,

10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303,

10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369,

10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459,

10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531,

10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627,

10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691,

10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771,

10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859,

10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937,

10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003,

11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087,

11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161,

11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251,

11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317,

11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399,

11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483,

11489, 11491, 11497, 11503, 11519, 11527, 11549, 11551,

11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657,

11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731,

11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813,

11821, 11827, 11831, 11833, 11839, 11863, 11867, 11887,

11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941,

11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011,

12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101,

12107, 12109, 12113, 12119, 12143, 12149, 12157, 12161,

12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251,

12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323,

12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401,

12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473,

12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527,

12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589,

12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653,

12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739,

12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821,

12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907,

12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967,

12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033,

13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109,

13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177,

13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259,

13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337,

13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421,

13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499,

13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597,

13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681,

13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723,

13729, 13751, 13757, 13759, 13763, 13781, 13789, 13799,

13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879,

13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933,

13963, 13967, 13997, 13999, 14009, 14011, 14029, 14033,

14051, 14057, 14071, 14081, 14083, 14087, 14107, 14143,

14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221,

14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323,

14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407,

14411, 14419, 14423, 14431, 14437, 14447, 14449, 14461,

14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549,

14551, 14557, 14561, 14563, 14591, 14593, 14621, 14627,

14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699,

14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753,

14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821,

14827, 14831, 14843, 14851, 14867, 14869, 14879, 14887,

14891, 14897, 14923, 14929, 14939, 14947, 14951, 14957,

14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073,

15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137,

15139, 15149, 15161, 15173, 15187, 15193, 15199, 15217,

15227, 15233, 15241, 15259, 15263, 15269, 15271, 15277,

15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331,

15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401,

15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473,

15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569,

15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643,

15647, 15649, 15661, 15667, 15671, 15679, 15683, 15727,

15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773,

15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859,

15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919,

15923, 15937, 15959, 15971, 15973, 15991, 16001, 16007,

16033, 16057, 16061, 16063, 16067, 16069, 16073, 16087,

16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183,

16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249,

16253, 16267, 16273, 16301, 16319, 16333, 16339, 16349,

16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427,

16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493,

16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603,

16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661,

16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747,

16759, 16763, 16787, 16811, 16823, 16829, 16831, 16843,

16871, 16879, 16883, 16889, 16901, 16903, 16921, 16927,

16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993,

17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053,

17077, 17093, 17099, 17107, 17117, 17123, 17137, 17159,

17167, 17183, 17189, 17191, 17203, 17207, 17209, 17231,

17239, 17257, 17291, 17293, 17299, 17317, 17321, 17327,

17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389,

17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467,

17471, 17477, 17483, 17489, 17491, 17497, 17509, 17519,

17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599,

17609, 17623, 17627, 17657, 17659, 17669, 17681, 17683,

17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783,

17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863,

17881, 17891, 17903, 17909, 17911, 17921, 17923, 17929,

17939, 17957, 17959, 17971, 17977, 17981, 17987, 17989,

18013, 18041, 18043, 18047, 18049, 18059, 18061, 18077,

18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143,

18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223,

18229, 18233, 18251, 18253, 18257, 18269, 18287, 18289,

18301, 18307, 18311, 18313, 18329, 18341, 18353, 18367,

18371, 18379, 18397, 18401, 18413, 18427, 18433, 18439,

18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517,

18521, 18523, 18539, 18541, 18553, 18583, 18587, 18593,

18617, 18637, 18661, 18671, 18679, 18691, 18701, 18713,

18719, 18731, 18743, 18749, 18757, 18773, 18787, 18793,

18797, 18803, 18839, 18859, 18869, 18899, 18911, 18913,

18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009,

19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081,

19087, 19121, 19139, 19141, 19157, 19163, 19181, 19183,

19207, 19211, 19213, 19219, 19231, 19237, 19249, 19259,

19267, 19273, 19289, 19301, 19309, 19319, 19333, 19373,

19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423,

19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469,

19471, 19477, 19483, 19489, 19501, 19507, 19531, 19541,

19543, 19553, 19559, 19571, 19577, 19583, 19597, 19603,

19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717,

19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793,

19801, 19813, 19819, 19841, 19843, 19853, 19861, 19867,

19889, 19891, 19913, 19919, 19927, 19937, 19949, 19961,

19963, 19973, 19979, 19991, 19993, 19997, 20011, 20021,

20023, 20029, 20047, 20051, 20063, 20071, 20089, 20101,

20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149,

20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233,

20249, 20261, 20269, 20287, 20297, 20323, 20327, 20333,

20341, 20347, 20353, 20357, 20359, 20369, 20389, 20393,

20399, 20407, 20411, 20431, 20441, 20443, 20477, 20479,

20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551,

20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663,

20681, 20693, 20707, 20717, 20719, 20731, 20743, 20747,

20749, 20753, 20759, 20771, 20773, 20789, 20807, 20809,

20849, 20857, 20873, 20879, 20887, 20897, 20899, 20903,

20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983,

21001, 21011, 21013, 21017, 21019, 21023, 21031, 21059,

21061, 21067, 21089, 21101, 21107, 21121, 21139, 21143,

21149, 21157, 21163, 21169, 21179, 21187, 21191, 21193,

21211, 21221, 21227, 21247, 21269, 21277, 21283, 21313,

21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383,

21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481,

21487, 21491, 21493, 21499, 21503, 21517, 21521, 21523,

21529, 21557, 21559, 21563, 21569, 21577, 21587, 21589,

21599, 21601, 21611, 21613, 21617, 21647, 21649, 21661,

21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751,

21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821,

21839, 21841, 21851, 21859, 21863, 21871, 21881, 21893,

21911, 21929, 21937, 21943, 21961, 21977, 21991, 21997,

22003, 22013, 22027, 22031, 22037, 22039, 22051, 22063,

22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123,

22129, 22133, 22147, 22153, 22157, 22159, 22171, 22189,

22193, 22229, 22247, 22259, 22271, 22273, 22277, 22279,

22283, 22291, 22303, 22307, 22343, 22349, 22367, 22369,

22381, 22391, 22397, 22409, 22433, 22441, 22447, 22453,

22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543,

22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637,

22639, 22643, 22651, 22669, 22679, 22691, 22697, 22699,

22709, 22717, 22721, 22727, 22739, 22741, 22751, 22769,

22777, 22783, 22787, 22807, 22811, 22817, 22853, 22859,

22861, 22871, 22877, 22901, 22907, 22921, 22937, 22943,

22961, 22963, 22973, 22993, 23003, 23011, 23017, 23021,

23027, 23029, 23039, 23041, 23053, 23057, 23059, 23063,

23071, 23081, 23087, 23099, 23117, 23131, 23143, 23159,

23167, 23173, 23189, 23197, 23201, 23203, 23209, 23227,

23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321,

23327, 23333, 23339, 23357, 23369, 23371, 23399, 23417,

23431, 23447, 23459, 23473, 23497, 23509, 23531, 23537,

23539, 23549, 23557, 23561, 23563, 23567, 23581, 23593,

23599, 23603, 23609, 23623, 23627, 23629, 23633, 23663,

23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743,

23747, 23753, 23761, 23767, 23773, 23789, 23801, 23813,

23819, 23827, 23831, 23833, 23857, 23869, 23873, 23879,

23887, 23893, 23899, 23909, 23911, 23917, 23929, 23957,

23971, 23977, 23981, 23993, 24001, 24007, 24019, 24023,

24029, 24043, 24049, 24061, 24071, 24077, 24083, 24091,

24097, 24103, 24107, 24109, 24113, 24121, 24133, 24137,

24151, 24169, 24179, 24181, 24197, 24203, 24223, 24229,

24239, 24247, 24251, 24281, 24317, 24329, 24337, 24359,

24371, 24373, 24379, 24391, 24407, 24413, 24419, 24421,

24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517,

24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623,

24631, 24659, 24671, 24677, 24683, 24691, 24697, 24709,

24733, 24749, 24763, 24767, 24781, 24793, 24799, 24809,

24821, 24841, 24847, 24851, 24859, 24877, 24889, 24907,

24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977,

24979, 24989, 25013, 25031, 25033, 25037, 25057, 25073,

25087, 25097, 25111, 25117, 25121, 25127, 25147, 25153,

25163, 25169, 25171, 25183, 25189, 25219, 25229, 25237,

25243, 25247, 25253, 25261, 25301, 25303, 25307, 25309,

25321, 25339, 25343, 25349, 25357, 25367, 25373, 25391,

25409, 25411, 25423, 25439, 25447, 25453, 25457, 25463,

25469, 25471, 25523, 25537, 25541, 25561, 25577, 25579,

25583, 25589, 25601, 25603, 25609, 25621, 25633, 25639,

25643, 25657, 25667, 25673, 25679, 25693, 25703, 25717,

25733, 25741, 25747, 25759, 25763, 25771, 25793, 25799,

25801, 25819, 25841, 25847, 25849, 25867, 25873, 25889,

25903, 25913, 25919, 25931, 25933, 25939, 25943, 25951,

25969, 25981, 25997, 25999, 26003, 26017, 26021, 26029,

26041, 26053, 26083, 26099, 26107, 26111, 26113, 26119,

26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203,

26209, 26227, 26237, 26249, 26251, 26261, 26263, 26267,

26293, 26297, 26309, 26317, 26321, 26339, 26347, 26357,

26371, 26387, 26393, 26399, 26407, 26417, 26423, 26431,

26437, 26449, 26459, 26479, 26489, 26497, 26501, 26513,

26539, 26557, 26561, 26573, 26591, 26597, 26627, 26633,

26641, 26647, 26669, 26681, 26683, 26687, 26693, 26699,

26701, 26711, 26713, 26717, 26723, 26729, 26731, 26737,

26759, 26777, 26783, 26801, 26813, 26821, 26833, 26839,

26849, 26861, 26863, 26879, 26881, 26891, 26893, 26903,

26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987,

26993, 27011, 27017, 27031, 27043, 27059, 27061, 27067,

27073, 27077, 27091, 27103, 27107, 27109, 27127, 27143,

27179, 27191, 27197, 27211, 27239, 27241, 27253, 27259,

27271, 27277, 27281, 27283, 27299, 27329, 27337, 27361,

27367, 27397, 27407, 27409, 27427, 27431, 27437, 27449,

27457, 27479, 27481, 27487, 27509, 27527, 27529, 27539,

27541, 27551, 27581, 27583, 27611, 27617, 27631, 27647,

27653, 27673, 27689, 27691, 27697, 27701, 27733, 27737,

27739, 27743, 27749, 27751, 27763, 27767, 27773, 27779,

27791, 27793, 27799, 27803, 27809, 27817, 27823, 27827,

27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941,

27943, 27947, 27953, 27961, 27967, 27983, 27997, 28001,

28019, 28027, 28031, 28051, 28057, 28069, 28081, 28087,

28097, 28099, 28109, 28111, 28123, 28151, 28163, 28181,

28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283,

28289, 28297, 28307, 28309, 28319, 28349, 28351, 28387,

28393, 28403, 28409, 28411, 28429, 28433, 28439, 28447,

28463, 28477, 28493, 28499, 28513, 28517, 28537, 28541,

28547, 28549, 28559, 28571, 28573, 28579, 28591, 28597,

28603, 28607, 28619, 28621, 28627, 28631, 28643, 28649,

28657, 28661, 28663, 28669, 28687, 28697, 28703, 28711,

28723, 28729, 28751, 28753, 28759, 28771, 28789, 28793,

28807, 28813, 28817, 28837, 28843, 28859, 28867, 28871,

28879, 28901, 28909, 28921, 28927, 28933, 28949, 28961,

28979, 29009, 29017, 29021, 29023, 29027, 29033, 29059,

29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147,

29153, 29167, 29173, 29179, 29191, 29201, 29207, 29209,

29221, 29231, 29243, 29251, 29269, 29287, 29297, 29303,

29311, 29327, 29333, 29339, 29347, 29363, 29383, 29387,

29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443,

29453, 29473, 29483, 29501, 29527, 29531, 29537, 29567,

29569, 29573, 29581, 29587, 29599, 29611, 29629, 29633,

29641, 29663, 29669, 29671, 29683, 29717, 29723, 29741,

29753, 29759, 29761, 29789, 29803, 29819, 29833, 29837,

29851, 29863, 29867, 29873, 29879, 29881, 29917, 29921,

29927, 29947, 29959, 29983, 29989, 30011, 30013, 30029,

30047, 30059, 30071, 30089, 30091, 30097, 30103, 30109,

30113, 30119, 30133, 30137, 30139, 30161, 30169, 30181,

30187, 30197, 30203, 30211, 30223, 30241, 30253, 30259,

30269, 30271, 30293, 30307, 30313, 30319, 30323, 30341,

30347, 30367, 30389, 30391, 30403, 30427, 30431, 30449,

30467, 30469, 30491, 30493, 30497, 30509, 30517, 30529,

30539, 30553, 30557, 30559, 30577, 30593, 30631, 30637,

30643, 30649, 30661, 30671, 30677, 30689, 30697, 30703,

30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803,

30809, 30817, 30829, 30839, 30841, 30851, 30853, 30859,

30869, 30871, 30881, 30893, 30911, 30931, 30937, 30941,

30949, 30971, 30977, 30983, 31013, 31019, 31033, 31039,

31051, 31063, 31069, 31079, 31081, 31091, 31121, 31123,

31139, 31147, 31151, 31153, 31159, 31177, 31181, 31183,

31189, 31193, 31219, 31223, 31231, 31237, 31247, 31249,

31253, 31259, 31267, 31271, 31277, 31307, 31319, 31321,

31327, 31333, 31337, 31357, 31379, 31387, 31391, 31393,

31397, 31469, 31477, 31481, 31489, 31511, 31513, 31517,

31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601,

31607, 31627, 31643, 31649, 31657, 31663, 31667, 31687,

31699, 31721, 31723, 31727, 31729, 31741, 31751, 31769,

31771, 31793, 31799, 31817, 31847, 31849, 31859, 31873,

31883, 31891, 31907, 31957, 31963, 31973, 31981, 31991,

32003, 32009, 32027, 32029, 32051, 32057, 32059, 32063,

32069, 32077, 32083, 32089, 32099, 32117, 32119, 32141,

32143, 32159, 32173, 32183, 32189, 32191, 32203, 32213,

32233, 32237, 32251, 32257, 32261, 32297, 32299, 32303,

32309, 32321, 32323, 32327, 32341, 32353, 32359, 32363,

32369, 32371, 32377, 32381, 32401, 32411, 32413, 32423,

32429, 32441, 32443, 32467, 32479, 32491, 32497, 32503,

32507, 32531, 32533, 32537, 32561, 32563, 32569, 32573,

32579, 32587, 32603, 32609, 32611, 32621, 32633, 32647,

32653, 32687, 32693, 32707, 32713, 32717, 32719, 32749,

32771, 32779, 32783, 32789, 32797, 32801, 32803, 32831,

32833, 32839, 32843, 32869, 32887, 32909, 32911, 32917,

32933, 32939, 32941, 32957, 32969, 32971, 32983, 32987,

32993, 32999, 33013, 33023, 33029, 33037, 33049, 33053,

33071, 33073, 33083, 33091, 33107, 33113, 33119, 33149,

33151, 33161, 33179, 33181, 33191, 33199, 33203, 33211,

33223, 33247, 33287, 33289, 33301, 33311, 33317, 33329,

33331, 33343, 33347, 33349, 33353, 33359, 33377, 33391,

33403, 33409, 33413, 33427, 33457, 33461, 33469, 33479,

33487, 33493, 33503, 33521, 33529, 33533, 33547, 33563,

33569, 33577, 33581, 33587, 33589, 33599, 33601, 33613,

33617, 33619, 33623, 33629, 33637, 33641, 33647, 33679,

33703, 33713, 33721, 33739, 33749, 33751, 33757, 33767,

33769, 33773, 33791, 33797, 33809, 33811, 33827, 33829,

33851, 33857, 33863, 33871, 33889, 33893, 33911, 33923,

33931, 33937, 33941, 33961, 33967, 33997, 34019, 34031,

34033, 34039, 34057, 34061, 34123, 34127, 34129, 34141,

34147, 34157, 34159, 34171, 34183, 34211, 34213, 34217,

34231, 34253, 34259, 34261, 34267, 34273, 34283, 34297,

34301, 34303, 34313, 34319, 34327, 34337, 34351, 34361,

34367, 34369, 34381, 34403, 34421, 34429, 34439, 34457,

34469, 34471, 34483, 34487, 34499, 34501, 34511, 34513,

34519, 34537, 34543, 34549, 34583, 34589, 34591, 34603,

34607, 34613, 34631, 34649, 34651, 34667, 34673, 34679,

34687, 34693, 34703, 34721, 34729, 34739, 34747, 34757,

34759, 34763, 34781, 34807, 34819, 34841, 34843, 34847,

34849, 34871, 34877, 34883, 34897, 34913, 34919, 34939,

34949, 34961, 34963, 34981, 35023, 35027, 35051, 35053,

35059, 35069, 35081, 35083, 35089, 35099, 35107, 35111,

35117, 35129, 35141, 35149, 35153, 35159, 35171, 35201,

35221, 35227, 35251, 35257, 35267, 35279, 35281, 35291,

35311, 35317, 35323, 35327, 35339, 35353, 35363, 35381,

35393, 35401, 35407, 35419, 35423, 35437, 35447, 35449,

35461, 35491, 35507, 35509, 35521, 35527, 35531, 35533,

35537, 35543, 35569, 35573, 35591, 35593, 35597, 35603,

35617, 35671, 35677, 35729, 35731, 35747, 35753, 35759,

35771, 35797, 35801, 35803, 35809, 35831, 35837, 35839,

35851, 35863, 35869, 35879, 35897, 35899, 35911, 35923,

35933, 35951, 35963, 35969, 35977, 35983, 35993, 35999,

36007, 36011, 36013, 36017, 36037, 36061, 36067, 36073,

36083, 36097, 36107, 36109, 36131, 36137, 36151, 36161,

36187, 36191, 36209, 36217, 36229, 36241, 36251, 36263,

36269, 36277, 36293, 36299, 36307, 36313, 36319, 36341,

36343, 36353, 36373, 36383, 36389, 36433, 36451, 36457,

36467, 36469, 36473, 36479, 36493, 36497, 36523, 36527,

36529, 36541, 36551, 36559, 36563, 36571, 36583, 36587,

36599, 36607, 36629, 36637, 36643, 36653, 36671, 36677,

36683, 36691, 36697, 36709, 36713, 36721, 36739, 36749,

36761, 36767, 36779, 36781, 36787, 36791, 36793, 36809,

36821, 36833, 36847, 36857, 36871, 36877, 36887, 36899,

36901, 36913, 36919, 36923, 36929, 36931, 36943, 36947,

36973, 36979, 36997, 37003, 37013, 37019, 37021, 37039,

37049, 37057, 37061, 37087, 37097, 37117, 37123, 37139,

37159, 37171, 37181, 37189, 37199, 37201, 37217, 37223,

37243, 37253, 37273, 37277, 37307, 37309, 37313, 37321,

37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397,

37409, 37423, 37441, 37447, 37463, 37483, 37489, 37493,

37501, 37507, 37511, 37517, 37529, 37537, 37547, 37549,

37561, 37567, 37571, 37573, 37579, 37589, 37591, 37607,

37619, 37633, 37643, 37649, 37657, 37663, 37691, 37693,

37699, 37717, 37747, 37781, 37783, 37799, 37811, 37813,

37831, 37847, 37853, 37861, 37871, 37879, 37889, 37897,

37907, 37951, 37957, 37963, 37967, 37987, 37991, 37993,

37997, 38011, 38039, 38047, 38053, 38069, 38083, 38113,

38119, 38149, 38153, 38167, 38177, 38183, 38189, 38197,

38201, 38219, 38231, 38237, 38239, 38261, 38273, 38281,

38287, 38299, 38303, 38317, 38321, 38327, 38329, 38333,

38351, 38371, 38377, 38393, 38431, 38447, 38449, 38453,

38459, 38461, 38501, 38543, 38557, 38561, 38567, 38569,

38593, 38603, 38609, 38611, 38629, 38639, 38651, 38653,

38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713,

38723, 38729, 38737, 38747, 38749, 38767, 38783, 38791,

38803, 38821, 38833, 38839, 38851, 38861, 38867, 38873,

38891, 38903, 38917, 38921, 38923, 38933, 38953, 38959,

38971, 38977, 38993, 39019, 39023, 39041, 39043, 39047,

39079, 39089, 39097, 39103, 39107, 39113, 39119, 39133,

39139, 39157, 39161, 39163, 39181, 39191, 39199, 39209,

39217, 39227, 39229, 39233, 39239, 39241, 39251, 39293,

39301, 39313, 39317, 39323, 39341, 39343, 39359, 39367,

39371, 39373, 39383, 39397, 39409, 39419, 39439, 39443,

39451, 39461, 39499, 39503, 39509, 39511, 39521, 39541,

39551, 39563, 39569, 39581, 39607, 39619, 39623, 39631,

39659, 39667, 39671, 39679, 39703, 39709, 39719, 39727,

39733, 39749, 39761, 39769, 39779, 39791, 39799, 39821,

39827, 39829, 39839, 39841, 39847, 39857, 39863, 39869,

39877, 39883, 39887, 39901, 39929, 39937, 39953, 39971,

39979, 39983, 39989, 40009, 40013, 40031, 40037, 40039,

40063, 40087, 40093, 40099, 40111, 40123, 40127, 40129,

40151, 40153, 40163, 40169, 40177, 40189, 40193, 40213,

40231, 40237, 40241, 40253, 40277, 40283, 40289, 40343,

40351, 40357, 40361, 40387, 40423, 40427, 40429, 40433,

40459, 40471, 40483, 40487, 40493, 40499, 40507, 40519,

40529, 40531, 40543, 40559, 40577, 40583, 40591, 40597,

40609, 40627, 40637, 40639, 40693, 40697, 40699, 40709,

40739, 40751, 40759, 40763, 40771, 40787, 40801, 40813,

40819, 40823, 40829, 40841, 40847, 40849, 40853, 40867,

40879, 40883, 40897, 40903, 40927, 40933, 40939, 40949,

40961, 40973, 40993, 41011, 41017, 41023, 41039, 41047,

41051, 41057, 41077, 41081, 41113, 41117, 41131, 41141,

41143, 41149, 41161, 41177, 41179, 41183, 41189, 41201,

41203, 41213, 41221, 41227, 41231, 41233, 41243, 41257,

41263, 41269, 41281, 41299, 41333, 41341, 41351, 41357,

41381, 41387, 41389, 41399, 41411, 41413, 41443, 41453,

41467, 41479, 41491, 41507, 41513, 41519, 41521, 41539,

41543, 41549, 41579, 41593, 41597, 41603, 41609, 41611,

41617, 41621, 41627, 41641, 41647, 41651, 41659, 41669,

41681, 41687, 41719, 41729, 41737, 41759, 41761, 41771,

41777, 41801, 41809, 41813, 41843, 41849, 41851, 41863,

41879, 41887, 41893, 41897, 41903, 41911, 41927, 41941,

41947, 41953, 41957, 41959, 41969, 41981, 41983, 41999,

42013, 42017, 42019, 42023, 42043, 42061, 42071, 42073,

42083, 42089, 42101, 42131, 42139, 42157, 42169, 42179,

42181, 42187, 42193, 42197, 42209, 42221, 42223, 42227,

42239, 42257, 42281, 42283, 42293, 42299, 42307, 42323,

42331, 42337, 42349, 42359, 42373, 42379, 42391, 42397,

42403, 42407, 42409, 42433, 42437, 42443, 42451, 42457,

42461, 42463, 42467, 42473, 42487, 42491, 42499, 42509,

42533, 42557, 42569, 42571, 42577, 42589, 42611, 42641,

42643, 42649, 42667, 42677, 42683, 42689, 42697, 42701,

42703, 42709, 42719, 42727, 42737, 42743, 42751, 42767,

42773, 42787, 42793, 42797, 42821, 42829, 42839, 42841,

42853, 42859, 42863, 42899, 42901, 42923, 42929, 42937,

42943, 42953, 42961, 42967, 42979, 42989, 43003, 43013,

43019, 43037, 43049, 43051, 43063, 43067, 43093, 43103,

43117, 43133, 43151, 43159, 43177, 43189, 43201, 43207,

43223, 43237, 43261, 43271, 43283, 43291, 43313, 43319,

43321, 43331, 43391, 43397, 43399, 43403, 43411, 43427,

43441, 43451, 43457, 43481, 43487, 43499, 43517, 43541,

43543, 43573, 43577, 43579, 43591, 43597, 43607, 43609,

43613, 43627, 43633, 43649, 43651, 43661, 43669, 43691,

43711, 43717, 43721, 43753, 43759, 43777, 43781, 43783,

43787, 43789, 43793, 43801, 43853, 43867, 43889, 43891,

43913, 43933, 43943, 43951, 43961, 43963, 43969, 43973,

43987, 43991, 43997, 44017, 44021, 44027, 44029, 44041,

44053, 44059, 44071, 44087, 44089, 44101, 44111, 44119,

44123, 44129, 44131, 44159, 44171, 44179, 44189, 44201,

44203, 44207, 44221, 44249, 44257, 44263, 44267, 44269,

44273, 44279, 44281, 44293, 44351, 44357, 44371, 44381,

44383, 44389, 44417, 44449, 44453, 44483, 44491, 44497,

44501, 44507, 44519, 44531, 44533, 44537, 44543, 44549,

44563, 44579, 44587, 44617, 44621, 44623, 44633, 44641,

44647, 44651, 44657, 44683, 44687, 44699, 44701, 44711,

44729, 44741, 44753, 44771, 44773, 44777, 44789, 44797,

44809, 44819, 44839, 44843, 44851, 44867, 44879, 44887,

44893, 44909, 44917, 44927, 44939, 44953, 44959, 44963,

44971, 44983, 44987, 45007, 45013, 45053, 45061, 45077,

45083, 45119, 45121, 45127, 45131, 45137, 45139, 45161,

45179, 45181, 45191, 45197, 45233, 45247, 45259, 45263,

45281, 45289, 45293, 45307, 45317, 45319, 45329, 45337,

45341, 45343, 45361, 45377, 45389, 45403, 45413, 45427,

45433, 45439, 45481, 45491, 45497, 45503, 45523, 45533,

45541, 45553, 45557, 45569, 45587, 45589, 45599, 45613,

45631, 45641, 45659, 45667, 45673, 45677, 45691, 45697,

45707, 45737, 45751, 45757, 45763, 45767, 45779, 45817,

45821, 45823, 45827, 45833, 45841, 45853, 45863, 45869,

45887, 45893, 45943, 45949, 45953, 45959, 45971, 45979,

45989, 46021, 46027, 46049, 46051, 46061, 46073, 46091,

46093, 46099, 46103, 46133, 46141, 46147, 46153, 46171,

46181, 46183, 46187, 46199, 46219, 46229, 46237, 46261,

46271, 46273, 46279, 46301, 46307, 46309, 46327, 46337,

46349, 46351, 46381, 46399, 46411, 46439, 46441, 46447,

46451, 46457, 46471, 46477, 46489, 46499, 46507, 46511,

46523, 46549, 46559, 46567, 46573, 46589, 46591, 46601,

46619, 46633, 46639, 46643, 46649, 46663, 46679, 46681,

46687, 46691, 46703, 46723, 46727, 46747, 46751, 46757,

46769, 46771, 46807, 46811, 46817, 46819, 46829, 46831,

46853, 46861, 46867, 46877, 46889, 46901, 46919, 46933,

46957, 46993, 46997, 47017, 47041, 47051, 47057, 47059,

47087, 47093, 47111, 47119, 47123, 47129, 47137, 47143,

47147, 47149, 47161, 47189, 47207, 47221, 47237, 47251,

47269, 47279, 47287, 47293, 47297, 47303, 47309, 47317,

47339, 47351, 47353, 47363, 47381, 47387, 47389, 47407,

47417, 47419, 47431, 47441, 47459, 47491, 47497, 47501,

47507, 47513, 47521, 47527, 47533, 47543, 47563, 47569,

47581, 47591, 47599, 47609, 47623, 47629, 47639, 47653,

47657, 47659, 47681, 47699, 47701, 47711, 47713, 47717,

47737, 47741, 47743, 47777, 47779, 47791, 47797, 47807,

47809, 47819, 47837, 47843, 47857, 47869, 47881, 47903,

47911, 47917, 47933, 47939, 47947, 47951, 47963, 47969,

47977, 47981, 48017, 48023, 48029, 48049, 48073, 48079,

48091, 48109, 48119, 48121, 48131, 48157, 48163, 48179,

48187, 48193, 48197, 48221, 48239, 48247, 48259, 48271,

48281, 48299, 48311, 48313, 48337, 48341, 48353, 48371,

48383, 48397, 48407, 48409, 48413, 48437, 48449, 48463,

48473, 48479, 48481, 48487, 48491, 48497, 48523, 48527,

48533, 48539, 48541, 48563, 48571, 48589, 48593, 48611,

48619, 48623, 48647, 48649, 48661, 48673, 48677, 48679,

48731, 48733, 48751, 48757, 48761, 48767, 48779, 48781,

48787, 48799, 48809, 48817, 48821, 48823, 48847, 48857,

48859, 48869, 48871, 48883, 48889, 48907, 48947, 48953,

48973, 48989, 48991, 49003, 49009, 49019, 49031, 49033,

49037, 49043, 49057, 49069, 49081, 49103, 49109, 49117,

49121, 49123, 49139, 49157, 49169, 49171, 49177, 49193,

49199, 49201, 49207, 49211, 49223, 49253, 49261, 49277,

49279, 49297, 49307, 49331, 49333, 49339, 49363, 49367,

49369, 49391, 49393, 49409, 49411, 49417, 49429, 49433,

49451, 49459, 49463, 49477, 49481, 49499, 49523, 49529,

49531, 49537, 49547, 49549, 49559, 49597, 49603, 49613,

49627, 49633, 49639, 49663, 49667, 49669, 49681, 49697,

49711, 49727, 49739, 49741, 49747, 49757, 49783, 49787,

49789, 49801, 49807, 49811, 49823, 49831, 49843, 49853,

49871, 49877, 49891, 49919, 49921, 49927, 49937, 49939,

49943, 49957, 49991, 49993, 49999, 50021, 50023, 50033,

50047, 50051, 50053, 50069, 50077, 50087, 50093, 50101,

50111, 50119, 50123, 50129, 50131, 50147, 50153, 50159,

50177, 50207, 50221, 50227, 50231, 50261, 50263, 50273,

50287, 50291, 50311, 50321, 50329, 50333, 50341, 50359,

50363, 50377, 50383, 50387, 50411, 50417, 50423, 50441,

50459, 50461, 50497, 50503, 50513, 50527, 50539, 50543,

50549, 50551, 50581, 50587, 50591, 50593, 50599, 50627,

50647, 50651, 50671, 50683, 50707, 50723, 50741, 50753,

50767, 50773, 50777, 50789, 50821, 50833, 50839, 50849,

50857, 50867, 50873, 50891, 50893, 50909, 50923, 50929,

50951, 50957, 50969, 50971, 50989, 50993, 51001, 51031,

51043, 51047, 51059, 51061, 51071, 51109, 51131, 51133,

51137, 51151, 51157, 51169, 51193, 51197, 51199, 51203,

51217, 51229, 51239, 51241, 51257, 51263, 51283, 51287,

51307, 51329, 51341, 51343, 51347, 51349, 51361, 51383,

51407, 51413, 51419, 51421, 51427, 51431, 51437, 51439,

51449, 51461, 51473, 51479, 51481, 51487, 51503, 51511,

51517, 51521, 51539, 51551, 51563, 51577, 51581, 51593,

51599, 51607, 51613, 51631, 51637, 51647, 51659, 51673,

51679, 51683, 51691, 51713, 51719, 51721, 51749, 51767,

51769, 51787, 51797, 51803, 51817, 51827, 51829, 51839,

51853, 51859, 51869, 51871, 51893, 51899, 51907, 51913,

51929, 51941, 51949, 51971, 51973, 51977, 51991, 52009,

52021, 52027, 52051, 52057, 52067, 52069, 52081, 52103,

52121, 52127, 52147, 52153, 52163, 52177, 52181, 52183,

52189, 52201, 52223, 52237, 52249, 52253, 52259, 52267,

52289, 52291, 52301, 52313, 52321, 52361, 52363, 52369,

52379, 52387, 52391, 52433, 52453, 52457, 52489, 52501,

52511, 52517, 52529, 52541, 52543, 52553, 52561, 52567,

52571, 52579, 52583, 52609, 52627, 52631, 52639, 52667,

52673, 52691, 52697, 52709, 52711, 52721, 52727, 52733,

52747, 52757, 52769, 52783, 52807, 52813, 52817, 52837,

52859, 52861, 52879, 52883, 52889, 52901, 52903, 52919,

52937, 52951, 52957, 52963, 52967, 52973, 52981, 52999,

53003, 53017, 53047, 53051, 53069, 53077, 53087, 53089,

53093, 53101, 53113, 53117, 53129, 53147, 53149, 53161,

53171, 53173, 53189, 53197, 53201, 53231, 53233, 53239,

53267, 53269, 53279, 53281, 53299, 53309, 53323, 53327,

53353, 53359, 53377, 53381, 53401, 53407, 53411, 53419,

53437, 53441, 53453, 53479, 53503, 53507, 53527, 53549,

53551, 53569, 53591, 53593, 53597, 53609, 53611, 53617,

53623, 53629, 53633, 53639, 53653, 53657, 53681, 53693,

53699, 53717, 53719, 53731, 53759, 53773, 53777, 53783,

53791, 53813, 53819, 53831, 53849, 53857, 53861, 53881,

53887, 53891, 53897, 53899, 53917, 53923, 53927, 53939,

53951, 53959, 53987, 53993, 54001, 54011, 54013, 54037,

54049, 54059, 54083, 54091, 54101, 54121, 54133, 54139,

54151, 54163, 54167, 54181, 54193, 54217, 54251, 54269,

54277, 54287, 54293, 54311, 54319, 54323, 54331, 54347,

54361, 54367, 54371, 54377, 54401, 54403, 54409, 54413,

54419, 54421, 54437, 54443, 54449, 54469, 54493, 54497,

54499, 54503, 54517, 54521, 54539, 54541, 54547, 54559,

54563, 54577, 54581, 54583, 54601, 54617, 54623, 54629,

54631, 54647, 54667, 54673, 54679, 54709, 54713, 54721,

54727, 54751, 54767, 54773, 54779, 54787, 54799, 54829,

54833, 54851, 54869, 54877, 54881, 54907, 54917, 54919,

54941, 54949, 54959, 54973, 54979, 54983, 55001, 55009,

55021, 55049, 55051, 55057, 55061, 55073, 55079, 55103,

55109, 55117, 55127, 55147, 55163, 55171, 55201, 55207,

55213, 55217, 55219, 55229, 55243, 55249, 55259, 55291,

55313, 55331, 55333, 55337, 55339, 55343, 55351, 55373,

55381, 55399, 55411, 55439, 55441, 55457, 55469, 55487,

55501, 55511, 55529, 55541, 55547, 55579, 55589, 55603,

55609, 55619, 55621, 55631, 55633, 55639, 55661, 55663,

55667, 55673, 55681, 55691, 55697, 55711, 55717, 55721,

55733, 55763, 55787, 55793, 55799, 55807, 55813, 55817,

55819, 55823, 55829, 55837, 55843, 55849, 55871, 55889,

55897, 55901, 55903, 55921, 55927, 55931, 55933, 55949,

55967, 55987, 55997, 56003, 56009, 56039, 56041, 56053,

56081, 56087, 56093, 56099, 56101, 56113, 56123, 56131,

56149, 56167, 56171, 56179, 56197, 56207, 56209, 56237,

56239, 56249, 56263, 56267, 56269, 56299, 56311, 56333,

56359, 56369, 56377, 56383, 56393, 56401, 56417, 56431,

56437, 56443, 56453, 56467, 56473, 56477, 56479, 56489,

56501, 56503, 56509, 56519, 56527, 56531, 56533, 56543,

56569, 56591, 56597, 56599, 56611, 56629, 56633, 56659,

56663, 56671, 56681, 56687, 56701, 56711, 56713, 56731,

56737, 56747, 56767, 56773, 56779, 56783, 56807, 56809,

56813, 56821, 56827, 56843, 56857, 56873, 56891, 56893,

56897, 56909, 56911, 56921, 56923, 56929, 56941, 56951,

56957, 56963, 56983, 56989, 56993, 56999, 57037, 57041,

57047, 57059, 57073, 57077, 57089, 57097, 57107, 57119,

57131, 57139, 57143, 57149, 57163, 57173, 57179, 57191,

57193, 57203, 57221, 57223, 57241, 57251, 57259, 57269,

57271, 57283, 57287, 57301, 57329, 57331, 57347, 57349,

57367, 57373, 57383, 57389, 57397, 57413, 57427, 57457,

57467, 57487, 57493, 57503, 57527, 57529, 57557, 57559,

57571, 57587, 57593, 57601, 57637, 57641, 57649, 57653,

57667, 57679, 57689, 57697, 57709, 57713, 57719, 57727,

57731, 57737, 57751, 57773, 57781, 57787, 57791, 57793,

57803, 57809, 57829, 57839, 57847, 57853, 57859, 57881,

57899, 57901, 57917, 57923, 57943, 57947, 57973, 57977,

57991, 58013, 58027, 58031, 58043, 58049, 58057, 58061,

58067, 58073, 58099, 58109, 58111, 58129, 58147, 58151,

58153, 58169, 58171, 58189, 58193, 58199, 58207, 58211,

58217, 58229, 58231, 58237, 58243, 58271, 58309, 58313,

58321, 58337, 58363, 58367, 58369, 58379, 58391, 58393,

58403, 58411, 58417, 58427, 58439, 58441, 58451, 58453,

58477, 58481, 58511, 58537, 58543, 58549, 58567, 58573,

58579, 58601, 58603, 58613, 58631, 58657, 58661, 58679,

58687, 58693, 58699, 58711, 58727, 58733, 58741, 58757,

58763, 58771, 58787, 58789, 58831, 58889, 58897, 58901,

58907, 58909, 58913, 58921, 58937, 58943, 58963, 58967,

58979, 58991, 58997, 59009, 59011, 59021, 59023, 59029,

59051, 59053, 59063, 59069, 59077, 59083, 59093, 59107,

59113, 59119, 59123, 59141, 59149, 59159, 59167, 59183,

59197, 59207, 59209, 59219, 59221, 59233, 59239, 59243,

59263, 59273, 59281, 59333, 59341, 59351, 59357, 59359,

59369, 59377, 59387, 59393, 59399, 59407, 59417, 59419,

59441, 59443, 59447, 59453, 59467, 59471, 59473, 59497,

59509, 59513, 59539, 59557, 59561, 59567, 59581, 59611,

59617, 59621, 59627, 59629, 59651, 59659, 59663, 59669,

59671, 59693, 59699, 59707, 59723, 59729, 59743, 59747,

59753, 59771, 59779, 59791, 59797, 59809, 59833, 59863,

59879, 59887, 59921, 59929, 59951, 59957, 59971, 59981,

59999, 60013, 60017, 60029, 60037, 60041, 60077, 60083,

60089, 60091, 60101, 60103, 60107, 60127, 60133, 60139,

60149, 60161, 60167, 60169, 60209, 60217, 60223, 60251,

60257, 60259, 60271, 60289, 60293, 60317, 60331, 60337,

60343, 60353, 60373, 60383, 60397, 60413, 60427, 60443,

60449, 60457, 60493, 60497, 60509, 60521, 60527, 60539,

60589, 60601, 60607, 60611, 60617, 60623, 60631, 60637,

60647, 60649, 60659, 60661, 60679, 60689, 60703, 60719,

60727, 60733, 60737, 60757, 60761, 60763, 60773, 60779,

60793, 60811, 60821, 60859, 60869, 60887, 60889, 60899,

60901, 60913, 60917, 60919, 60923, 60937, 60943, 60953,

60961, 61001, 61007, 61027, 61031, 61043, 61051, 61057,

61091, 61099, 61121, 61129, 61141, 61151, 61153, 61169,

61211, 61223, 61231, 61253, 61261, 61283, 61291, 61297,

61331, 61333, 61339, 61343, 61357, 61363, 61379, 61381,

61403, 61409, 61417, 61441, 61463, 61469, 61471, 61483,

61487, 61493, 61507, 61511, 61519, 61543, 61547, 61553,

61559, 61561, 61583, 61603, 61609, 61613, 61627, 61631,

61637, 61643, 61651, 61657, 61667, 61673, 61681, 61687,

61703, 61717, 61723, 61729, 61751, 61757, 61781, 61813,

61819, 61837, 61843, 61861, 61871, 61879, 61909, 61927,

61933, 61949, 61961, 61967, 61979, 61981, 61987, 61991,

62003, 62011, 62017, 62039, 62047, 62053, 62057, 62071,

62081, 62099, 62119, 62129, 62131, 62137, 62141, 62143,

62171, 62189, 62191, 62201, 62207, 62213, 62219, 62233,

62273, 62297, 62299, 62303, 62311, 62323, 62327, 62347,

62351, 62383, 62401, 62417, 62423, 62459, 62467, 62473,

62477, 62483, 62497, 62501, 62507, 62533, 62539, 62549,

62563, 62581, 62591, 62597, 62603, 62617, 62627, 62633,

62639, 62653, 62659, 62683, 62687, 62701, 62723, 62731,

62743, 62753, 62761, 62773, 62791, 62801, 62819, 62827,

62851, 62861, 62869, 62873, 62897, 62903, 62921, 62927,

62929, 62939, 62969, 62971, 62981, 62983, 62987, 62989,

63029, 63031, 63059, 63067, 63073, 63079, 63097, 63103,

63113, 63127, 63131, 63149, 63179, 63197, 63199, 63211,

63241, 63247, 63277, 63281, 63299, 63311, 63313, 63317,

63331, 63337, 63347, 63353, 63361, 63367, 63377, 63389,

63391, 63397, 63409, 63419, 63421, 63439, 63443, 63463,

63467, 63473, 63487, 63493, 63499, 63521, 63527, 63533,

63541, 63559, 63577, 63587, 63589, 63599, 63601, 63607,

63611, 63617, 63629, 63647, 63649, 63659, 63667, 63671,

63689, 63691, 63697, 63703, 63709, 63719, 63727, 63737,

63743, 63761, 63773, 63781, 63793, 63799, 63803, 63809,

63823, 63839, 63841, 63853, 63857, 63863, 63901, 63907,

63913, 63929, 63949, 63977, 63997, 64007, 64013, 64019,

64033, 64037, 64063, 64067, 64081, 64091, 64109, 64123,

64151, 64153, 64157, 64171, 64187, 64189, 64217, 64223,

64231, 64237, 64271, 64279, 64283, 64301, 64303, 64319,

64327, 64333, 64373, 64381, 64399, 64403, 64433, 64439,

64451, 64453, 64483, 64489, 64499, 64513, 64553, 64567,

64577, 64579, 64591, 64601, 64609, 64613, 64621, 64627,

64633, 64661, 64663, 64667, 64679, 64693, 64709, 64717,

64747, 64763, 64781, 64783, 64793, 64811, 64817, 64849,

64853, 64871, 64877, 64879, 64891, 64901, 64919, 64921,

64927, 64937, 64951, 64969, 64997, 65003, 65011, 65027,

65029, 65033, 65053, 65063, 65071, 65089, 65099, 65101,

65111, 65119, 65123, 65129, 65141, 65147, 65167, 65171,

65173, 65179, 65183, 65203, 65213, 65239, 65257, 65267,

65269, 65287, 65293, 65309, 65323, 65327, 65353, 65357,

65371, 65381, 65393, 65407, 65413, 65419, 65423, 65437,

65447, 65449, 65479, 65497, 65519, 65521, 65537, 65539,

65543, 65551, 65557, 65563, 65579, 65581, 65587, 65599,

65609, 65617, 65629, 65633, 65647, 65651, 65657, 65677,

65687, 65699, 65701, 65707, 65713, 65717, 65719, 65729,

65731, 65761, 65777, 65789, 65809, 65827, 65831, 65837,

65839, 65843, 65851, 65867, 65881, 65899, 65921, 65927,

65929, 65951, 65957, 65963, 65981, 65983, 65993, 66029,

66037, 66041, 66047, 66067, 66071, 66083, 66089, 66103,

66107, 66109, 66137, 66161, 66169, 66173, 66179, 66191,

66221, 66239, 66271, 66293, 66301, 66337, 66343, 66347,

66359, 66361, 66373, 66377, 66383, 66403, 66413, 66431,

66449, 66457, 66463, 66467, 66491, 66499, 66509, 66523,

66529, 66533, 66541, 66553, 66569, 66571, 66587, 66593,

66601, 66617, 66629, 66643, 66653, 66683, 66697, 66701,

66713, 66721, 66733, 66739, 66749, 66751, 66763, 66791,

66797, 66809, 66821, 66841, 66851, 66853, 66863, 66877,

66883, 66889, 66919, 66923, 66931, 66943, 66947, 66949,

66959, 66973, 66977, 67003, 67021, 67033, 67043, 67049,

67057, 67061, 67073, 67079, 67103, 67121, 67129, 67139,

67141, 67153, 67157, 67169, 67181, 67187, 67189, 67211,

67213, 67217, 67219, 67231, 67247, 67261, 67271, 67273,

67289, 67307, 67339, 67343, 67349, 67369, 67391, 67399,

67409, 67411, 67421, 67427, 67429, 67433, 67447, 67453,

67477, 67481, 67489, 67493, 67499, 67511, 67523, 67531,

67537, 67547, 67559, 67567, 67577, 67579, 67589, 67601,

67607, 67619, 67631, 67651, 67679, 67699, 67709, 67723,

67733, 67741, 67751, 67757, 67759, 67763, 67777, 67783,

67789, 67801, 67807, 67819, 67829, 67843, 67853, 67867,

67883, 67891, 67901, 67927, 67931, 67933, 67939, 67943,

67957, 67961, 67967, 67979, 67987, 67993, 68023, 68041,

68053, 68059, 68071, 68087, 68099, 68111, 68113, 68141,

68147, 68161, 68171, 68207, 68209, 68213, 68219, 68227,

68239, 68261, 68279, 68281, 68311, 68329, 68351, 68371,

68389, 68399, 68437, 68443, 68447, 68449, 68473, 68477,

68483, 68489, 68491, 68501, 68507, 68521, 68531, 68539,

68543, 68567, 68581, 68597, 68611, 68633, 68639, 68659,

68669, 68683, 68687, 68699, 68711, 68713, 68729, 68737,

68743, 68749, 68767, 68771, 68777, 68791, 68813, 68819,

68821, 68863, 68879, 68881, 68891, 68897, 68899, 68903,

68909, 68917, 68927, 68947, 68963, 68993, 69001, 69011,

69019, 69029, 69031, 69061, 69067, 69073, 69109, 69119,

69127, 69143, 69149, 69151, 69163, 69191, 69193, 69197,

69203, 69221, 69233, 69239, 69247, 69257, 69259, 69263,

69313, 69317, 69337, 69341, 69371, 69379, 69383, 69389,

69401, 69403, 69427, 69431, 69439, 69457, 69463, 69467,

69473, 69481, 69491, 69493, 69497, 69499, 69539, 69557,

69593, 69623, 69653, 69661, 69677, 69691, 69697, 69709,

69737, 69739, 69761, 69763, 69767, 69779, 69809, 69821,

69827, 69829, 69833, 69847, 69857, 69859, 69877, 69899,

69911, 69929, 69931, 69941, 69959, 69991, 69997, 70001,

70003, 70009, 70019, 70039, 70051, 70061, 70067, 70079,

70099, 70111, 70117, 70121, 70123, 70139, 70141, 70157,

70163, 70177, 70181, 70183, 70199, 70201, 70207, 70223,

70229, 70237, 70241, 70249, 70271, 70289, 70297, 70309,

70313, 70321, 70327, 70351, 70373, 70379, 70381, 70393,

70423, 70429, 70439, 70451, 70457, 70459, 70481, 70487,

70489, 70501, 70507, 70529, 70537, 70549, 70571, 70573,

70583, 70589, 70607, 70619, 70621, 70627, 70639, 70657,

70663, 70667, 70687, 70709, 70717, 70729, 70753, 70769,

70783, 70793, 70823, 70841, 70843, 70849, 70853, 70867,

70877, 70879, 70891, 70901, 70913, 70919, 70921, 70937,

70949, 70951, 70957, 70969, 70979, 70981, 70991, 70997,

70999, 71011, 71023, 71039, 71059, 71069, 71081, 71089,

71119, 71129, 71143, 71147, 71153, 71161, 71167, 71171,

71191, 71209, 71233, 71237, 71249, 71257, 71261, 71263,

71287, 71293, 71317, 71327, 71329, 71333, 71339, 71341,

71347, 71353, 71359, 71363, 71387, 71389, 71399, 71411,

71413, 71419, 71429, 71437, 71443, 71453, 71471, 71473,

71479, 71483, 71503, 71527, 71537, 71549, 71551, 71563,

71569, 71593, 71597, 71633, 71647, 71663, 71671, 71693,

71699, 71707, 71711, 71713, 71719, 71741, 71761, 71777,

71789, 71807, 71809, 71821, 71837, 71843, 71849, 71861,

71867, 71879, 71881, 71887, 71899, 71909, 71917, 71933,

71941, 71947, 71963, 71971, 71983, 71987, 71993, 71999,

72019, 72031, 72043, 72047, 72053, 72073, 72077, 72089,

72091, 72101, 72103, 72109, 72139, 72161, 72167, 72169,

72173, 72211, 72221, 72223, 72227, 72229, 72251, 72253,

72269, 72271, 72277, 72287, 72307, 72313, 72337, 72341,

72353, 72367, 72379, 72383, 72421, 72431, 72461, 72467,

72469, 72481, 72493, 72497, 72503, 72533, 72547, 72551,

72559, 72577, 72613, 72617, 72623, 72643, 72647, 72649,

72661, 72671, 72673, 72679, 72689, 72701, 72707, 72719,

72727, 72733, 72739, 72763, 72767, 72797, 72817, 72823,

72859, 72869, 72871, 72883, 72889, 72893, 72901, 72907,

72911, 72923, 72931, 72937, 72949, 72953, 72959, 72973,

72977, 72997, 73009, 73013, 73019, 73037, 73039, 73043,

73061, 73063, 73079, 73091, 73121, 73127, 73133, 73141,

73181, 73189, 73237, 73243, 73259, 73277, 73291, 73303,

73309, 73327, 73331, 73351, 73361, 73363, 73369, 73379,

73387, 73417, 73421, 73433, 73453, 73459, 73471, 73477,

73483, 73517, 73523, 73529, 73547, 73553, 73561, 73571,

73583, 73589, 73597, 73607, 73609, 73613, 73637, 73643,

73651, 73673, 73679, 73681, 73693, 73699, 73709, 73721,

73727, 73751, 73757, 73771, 73783, 73819, 73823, 73847,

73849, 73859, 73867, 73877, 73883, 73897, 73907, 73939,

73943, 73951, 73961, 73973, 73999, 74017, 74021, 74027,

74047, 74051, 74071, 74077, 74093, 74099, 74101, 74131,

74143, 74149, 74159, 74161, 74167, 74177, 74189, 74197,

74201, 74203, 74209, 74219, 74231, 74257, 74279, 74287,

74293, 74297, 74311, 74317, 74323, 74353, 74357, 74363,

74377, 74381, 74383, 74411, 74413, 74419, 74441, 74449,

74453, 74471, 74489, 74507, 74509, 74521, 74527, 74531,

74551, 74561, 74567, 74573, 74587, 74597, 74609, 74611,

74623, 74653, 74687, 74699, 74707, 74713, 74717, 74719,

74729, 74731, 74747, 74759, 74761, 74771, 74779, 74797,

74821, 74827, 74831, 74843, 74857, 74861, 74869, 74873,

74887, 74891, 74897, 74903, 74923, 74929, 74933, 74941,

74959, 75011, 75013, 75017, 75029, 75037, 75041, 75079,

75083, 75109, 75133, 75149, 75161, 75167, 75169, 75181,

75193, 75209, 75211, 75217, 75223, 75227, 75239, 75253,

75269, 75277, 75289, 75307, 75323, 75329, 75337, 75347,

75353, 75367, 75377, 75389, 75391, 75401, 75403, 75407,

75431, 75437, 75479, 75503, 75511, 75521, 75527, 75533,

75539, 75541, 75553, 75557, 75571, 75577, 75583, 75611,

75617, 75619, 75629, 75641, 75653, 75659, 75679, 75683,

75689, 75703, 75707, 75709, 75721, 75731, 75743, 75767,

75773, 75781, 75787, 75793, 75797, 75821, 75833, 75853,

75869, 75883, 75913, 75931, 75937, 75941, 75967, 75979,

75983, 75989, 75991, 75997, 76001, 76003, 76031, 76039,

76079, 76081, 76091, 76099, 76103, 76123, 76129, 76147,

76157, 76159, 76163, 76207, 76213, 76231, 76243, 76249,

76253, 76259, 76261, 76283, 76289, 76303, 76333, 76343,

76367, 76369, 76379, 76387, 76403, 76421, 76423, 76441,

76463, 76471, 76481, 76487, 76493, 76507, 76511, 76519,

76537, 76541, 76543, 76561, 76579, 76597, 76603, 76607,

76631, 76649, 76651, 76667, 76673, 76679, 76697, 76717,

76733, 76753, 76757, 76771, 76777, 76781, 76801, 76819,

76829, 76831, 76837, 76847, 76871, 76873, 76883, 76907,

76913, 76919, 76943, 76949, 76961, 76963, 76991, 77003,

77017, 77023, 77029, 77041, 77047, 77069, 77081, 77093,

77101, 77137, 77141, 77153, 77167, 77171, 77191, 77201,

77213, 77237, 77239, 77243, 77249, 77261, 77263, 77267,

77269, 77279, 77291, 77317, 77323, 77339, 77347, 77351,

77359, 77369, 77377, 77383, 77417, 77419, 77431, 77447,

77471, 77477, 77479, 77489, 77491, 77509, 77513, 77521,

77527, 77543, 77549, 77551, 77557, 77563, 77569, 77573,

77587, 77591, 77611, 77617, 77621, 77641, 77647, 77659,

77681, 77687, 77689, 77699, 77711, 77713, 77719, 77723,

77731, 77743, 77747, 77761, 77773, 77783, 77797, 77801,

77813, 77839, 77849, 77863, 77867, 77893, 77899, 77929,

77933, 77951, 77969, 77977, 77983, 77999, 78007, 78017,

78031, 78041, 78049, 78059, 78079, 78101, 78121, 78137,

78139, 78157, 78163, 78167, 78173, 78179, 78191, 78193,

78203, 78229, 78233, 78241, 78259, 78277, 78283, 78301,

78307, 78311, 78317, 78341, 78347, 78367, 78401, 78427,

78437, 78439, 78467, 78479, 78487, 78497, 78509, 78511,

78517, 78539, 78541, 78553, 78569, 78571, 78577, 78583,

78593, 78607, 78623, 78643, 78649, 78653, 78691, 78697,

78707, 78713, 78721, 78737, 78779, 78781, 78787, 78791,

78797, 78803, 78809, 78823, 78839, 78853, 78857, 78877,

78887, 78889, 78893, 78901, 78919, 78929, 78941, 78977,

78979, 78989, 79031, 79039, 79043, 79063, 79087, 79103,

79111, 79133, 79139, 79147, 79151, 79153, 79159, 79181,

79187, 79193, 79201, 79229, 79231, 79241, 79259, 79273,

79279, 79283, 79301, 79309, 79319, 79333, 79337, 79349,

79357, 79367, 79379, 79393, 79397, 79399, 79411, 79423,

79427, 79433, 79451, 79481, 79493, 79531, 79537, 79549,

79559, 79561, 79579, 79589, 79601, 79609, 79613, 79621,

79627, 79631, 79633, 79657, 79669, 79687, 79691, 79693,

79697, 79699, 79757, 79769, 79777, 79801, 79811, 79813,

79817, 79823, 79829, 79841, 79843, 79847, 79861, 79867,

79873, 79889, 79901, 79903, 79907, 79939, 79943, 79967,

79973, 79979, 79987, 79997, 79999, 80021, 80039, 80051,

80071, 80077, 80107, 80111, 80141, 80147, 80149, 80153,

80167, 80173, 80177, 80191, 80207, 80209, 80221, 80231,

80233, 80239, 80251, 80263, 80273, 80279, 80287, 80309,

80317, 80329, 80341, 80347, 80363, 80369, 80387, 80407,

80429, 80447, 80449, 80471, 80473, 80489, 80491, 80513,

80527, 80537, 80557, 80567, 80599, 80603, 80611, 80621,

80627, 80629, 80651, 80657, 80669, 80671, 80677, 80681,

80683, 80687, 80701, 80713, 80737, 80747, 80749, 80761,

80777, 80779, 80783, 80789, 80803, 80809, 80819, 80831,

80833, 80849, 80863, 80897, 80909, 80911, 80917, 80923,

80929, 80933, 80953, 80963, 80989, 81001, 81013, 81017,

81019, 81023, 81031, 81041, 81043, 81047, 81049, 81071,

81077, 81083, 81097, 81101, 81119, 81131, 81157, 81163,

81173, 81181, 81197, 81199, 81203, 81223, 81233, 81239,

81281, 81283, 81293, 81299, 81307, 81331, 81343, 81349,

81353, 81359, 81371, 81373, 81401, 81409, 81421, 81439,

81457, 81463, 81509, 81517, 81527, 81533, 81547, 81551,

81553, 81559, 81563, 81569, 81611, 81619, 81629, 81637,

81647, 81649, 81667, 81671, 81677, 81689, 81701, 81703,

81707, 81727, 81737, 81749, 81761, 81769, 81773, 81799,

81817, 81839, 81847, 81853, 81869, 81883, 81899, 81901,

81919, 81929, 81931, 81937, 81943, 81953, 81967, 81971,

81973, 82003, 82007, 82009, 82013, 82021, 82031, 82037,

82039, 82051, 82067, 82073, 82129, 82139, 82141, 82153,

82163, 82171, 82183, 82189, 82193, 82207, 82217, 82219,

82223, 82231, 82237, 82241, 82261, 82267, 82279, 82301,

82307, 82339, 82349, 82351, 82361, 82373, 82387, 82393,

82421, 82457, 82463, 82469, 82471, 82483, 82487, 82493,

82499, 82507, 82529, 82531, 82549, 82559, 82561, 82567,

82571, 82591, 82601, 82609, 82613, 82619, 82633, 82651,

82657, 82699, 82721, 82723, 82727, 82729, 82757, 82759,

82763, 82781, 82787, 82793, 82799, 82811, 82813, 82837,

82847, 82883, 82889, 82891, 82903, 82913, 82939, 82963,

82981, 82997, 83003, 83009, 83023, 83047, 83059, 83063,

83071, 83077, 83089, 83093, 83101, 83117, 83137, 83177,

83203, 83207, 83219, 83221, 83227, 83231, 83233, 83243,

83257, 83267, 83269, 83273, 83299, 83311, 83339, 83341,

83357, 83383, 83389, 83399, 83401, 83407, 83417, 83423,

83431, 83437, 83443, 83449, 83459, 83471, 83477, 83497,

83537, 83557, 83561, 83563, 83579, 83591, 83597, 83609,

83617, 83621, 83639, 83641, 83653, 83663, 83689, 83701,

83717, 83719, 83737, 83761, 83773, 83777, 83791, 83813,

83833, 83843, 83857, 83869, 83873, 83891, 83903, 83911,

83921, 83933, 83939, 83969, 83983, 83987, 84011, 84017,

84047, 84053, 84059, 84061, 84067, 84089, 84121, 84127,

84131, 84137, 84143, 84163, 84179, 84181, 84191, 84199,

84211, 84221, 84223, 84229, 84239, 84247, 84263, 84299,

84307, 84313, 84317, 84319, 84347, 84349, 84377, 84389,

84391, 84401, 84407, 84421, 84431, 84437, 84443, 84449,

84457, 84463, 84467, 84481, 84499, 84503, 84509, 84521,

84523, 84533, 84551, 84559, 84589, 84629, 84631, 84649,

84653, 84659, 84673, 84691, 84697, 84701, 84713, 84719,

84731, 84737, 84751, 84761, 84787, 84793, 84809, 84811,

84827, 84857, 84859, 84869, 84871, 84913, 84919, 84947,

84961, 84967, 84977, 84979, 84991, 85009, 85021, 85027,

85037, 85049, 85061, 85081, 85087, 85091, 85093, 85103,

85109, 85121, 85133, 85147, 85159, 85193, 85199, 85201,

85213, 85223, 85229, 85237, 85243, 85247, 85259, 85297,

85303, 85313, 85331, 85333, 85361, 85363, 85369, 85381,

85411, 85427, 85429, 85439, 85447, 85451, 85453, 85469,

85487, 85513, 85517, 85523, 85531, 85549, 85571, 85577,

85597, 85601, 85607, 85619, 85621, 85627, 85639, 85643,

85661, 85667, 85669, 85691, 85703, 85711, 85717, 85733,

85751, 85781, 85793, 85817, 85819, 85829, 85831, 85837,

85843, 85847, 85853, 85889, 85903, 85909, 85931, 85933,

85991, 85999, 86011, 86017, 86027, 86029, 86069, 86077,

86083, 86111, 86113, 86117, 86131, 86137, 86143, 86161,

86171, 86179, 86183, 86197, 86201, 86209, 86239, 86243,

86249, 86257, 86263, 86269, 86287, 86291, 86293, 86297,

86311, 86323, 86341, 86351, 86353, 86357, 86369, 86371,

86381, 86389, 86399, 86413, 86423, 86441, 86453, 86461,

86467, 86477, 86491, 86501, 86509, 86531, 86533, 86539,

86561, 86573, 86579, 86587, 86599, 86627, 86629, 86677,

86689, 86693, 86711, 86719, 86729, 86743, 86753, 86767,

86771, 86783, 86813, 86837, 86843, 86851, 86857, 86861,

86869, 86923, 86927, 86929, 86939, 86951, 86959, 86969,

86981, 86993, 87011, 87013, 87037, 87041, 87049, 87071,

87083, 87103, 87107, 87119, 87121, 87133, 87149, 87151,

87179, 87181, 87187, 87211, 87221, 87223, 87251, 87253,

87257, 87277, 87281, 87293, 87299, 87313, 87317, 87323,

87337, 87359, 87383, 87403, 87407, 87421, 87427, 87433,

87443, 87473, 87481, 87491, 87509, 87511, 87517, 87523,

87539, 87541, 87547, 87553, 87557, 87559, 87583, 87587,

87589, 87613, 87623, 87629, 87631, 87641, 87643, 87649,

87671, 87679, 87683, 87691, 87697, 87701, 87719, 87721,

87739, 87743, 87751, 87767, 87793, 87797, 87803, 87811,

87833, 87853, 87869, 87877, 87881, 87887, 87911, 87917,

87931, 87943, 87959, 87961, 87973, 87977, 87991, 88001,

88003, 88007, 88019, 88037, 88069, 88079, 88093, 88117,

88129, 88169, 88177, 88211, 88223, 88237, 88241, 88259,

88261, 88289, 88301, 88321, 88327, 88337, 88339, 88379,

88397, 88411, 88423, 88427, 88463, 88469, 88471, 88493,

88499, 88513, 88523, 88547, 88589, 88591, 88607, 88609,

88643, 88651, 88657, 88661, 88663, 88667, 88681, 88721,

88729, 88741, 88747, 88771, 88789, 88793, 88799, 88801,

88807, 88811, 88813, 88817, 88819, 88843, 88853, 88861,

88867, 88873, 88883, 88897, 88903, 88919, 88937, 88951,

88969, 88993, 88997, 89003, 89009, 89017, 89021, 89041,

89051, 89057, 89069, 89071, 89083, 89087, 89101, 89107,

89113, 89119, 89123, 89137, 89153, 89189, 89203, 89209,

89213, 89227, 89231, 89237, 89261, 89269, 89273, 89293,

89303, 89317, 89329, 89363, 89371, 89381, 89387, 89393,

89399, 89413, 89417, 89431, 89443, 89449, 89459, 89477,

89491, 89501, 89513, 89519, 89521, 89527, 89533, 89561,

89563, 89567, 89591, 89597, 89599, 89603, 89611, 89627,

89633, 89653, 89657, 89659, 89669, 89671, 89681, 89689,

89753, 89759, 89767, 89779, 89783, 89797, 89809, 89819,

89821, 89833, 89839, 89849, 89867, 89891, 89897, 89899,

89909, 89917, 89923, 89939, 89959, 89963, 89977, 89983,

89989, 90001, 90007, 90011, 90017, 90019, 90023, 90031,

90053, 90059, 90067, 90071, 90073, 90089, 90107, 90121,

90127, 90149, 90163, 90173, 90187, 90191, 90197, 90199,

90203, 90217, 90227, 90239, 90247, 90263, 90271, 90281,

90289, 90313, 90353, 90359, 90371, 90373, 90379, 90397,

90401, 90403, 90407, 90437, 90439, 90469, 90473, 90481,

90499, 90511, 90523, 90527, 90529, 90533, 90547, 90583,

90599, 90617, 90619, 90631, 90641, 90647, 90659, 90677,

90679, 90697, 90703, 90709, 90731, 90749, 90787, 90793,

90803, 90821, 90823, 90833, 90841, 90847, 90863, 90887,

90901, 90907, 90911, 90917, 90931, 90947, 90971, 90977,

90989, 90997, 91009, 91019, 91033, 91079, 91081, 91097,

91099, 91121, 91127, 91129, 91139, 91141, 91151, 91153,

91159, 91163, 91183, 91193, 91199, 91229, 91237, 91243,

91249, 91253, 91283, 91291, 91297, 91303, 91309, 91331,

91367, 91369, 91373, 91381, 91387, 91393, 91397, 91411,

91423, 91433, 91453, 91457, 91459, 91463, 91493, 91499,

91513, 91529, 91541, 91571, 91573, 91577, 91583, 91591,

91621, 91631, 91639, 91673, 91691, 91703, 91711, 91733,

91753, 91757, 91771, 91781, 91801, 91807, 91811, 91813,

91823, 91837, 91841, 91867, 91873, 91909, 91921, 91939,

91943, 91951, 91957, 91961, 91967, 91969, 91997, 92003,

92009, 92033, 92041, 92051, 92077, 92083, 92107, 92111,

92119, 92143, 92153, 92173, 92177, 92179, 92189, 92203,

92219, 92221, 92227, 92233, 92237, 92243, 92251, 92269,

92297, 92311, 92317, 92333, 92347, 92353, 92357, 92363,

92369, 92377, 92381, 92383, 92387, 92399, 92401, 92413,

92419, 92431, 92459, 92461, 92467, 92479, 92489, 92503,

92507, 92551, 92557, 92567, 92569, 92581, 92593, 92623,

92627, 92639, 92641, 92647, 92657, 92669, 92671, 92681,

92683, 92693, 92699, 92707, 92717, 92723, 92737, 92753,

92761, 92767, 92779, 92789, 92791, 92801, 92809, 92821,

92831, 92849, 92857, 92861, 92863, 92867, 92893, 92899,

92921, 92927, 92941, 92951, 92957, 92959, 92987, 92993,

93001, 93047, 93053, 93059, 93077, 93083, 93089, 93097,

93103, 93113, 93131, 93133, 93139, 93151, 93169, 93179,

93187, 93199, 93229, 93239, 93241, 93251, 93253, 93257,

93263, 93281, 93283, 93287, 93307, 93319, 93323, 93329,

93337, 93371, 93377, 93383, 93407, 93419, 93427, 93463,

93479, 93481, 93487, 93491, 93493, 93497, 93503, 93523,

93529, 93553, 93557, 93559, 93563, 93581, 93601, 93607,

93629, 93637, 93683, 93701, 93703, 93719, 93739, 93761,

93763, 93787, 93809, 93811, 93827, 93851, 93871, 93887,

93889, 93893, 93901, 93911, 93913, 93923, 93937, 93941,

93949, 93967, 93971, 93979, 93983, 93997, 94007, 94009,

94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111,

94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219,

94229, 94253, 94261, 94273, 94291, 94307, 94309, 94321,

94327, 94331, 94343, 94349, 94351, 94379, 94397, 94399,

94421, 94427, 94433, 94439, 94441, 94447, 94463, 94477,

94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559,

94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649,

94651, 94687, 94693, 94709, 94723, 94727, 94747, 94771,

94777, 94781, 94789, 94793, 94811, 94819, 94823, 94837,

94841, 94847, 94849, 94873, 94889, 94903, 94907, 94933,

94949, 94951, 94961, 94993, 94999, 95003, 95009, 95021,

95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101,

95107, 95111, 95131, 95143, 95153, 95177, 95189, 95191,

95203, 95213, 95219, 95231, 95233, 95239, 95257, 95261,

95267, 95273, 95279, 95287, 95311, 95317, 95327, 95339,

95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441,

95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527,

95531, 95539, 95549, 95561, 95569, 95581, 95597, 95603,

95617, 95621, 95629, 95633, 95651, 95701, 95707, 95713,

95717, 95723, 95731, 95737, 95747, 95773, 95783, 95789,

95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873,

95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957,

95959, 95971, 95987, 95989, 96001, 96013, 96017, 96043,

96053, 96059, 96079, 96097, 96137, 96149, 96157, 96167,

96179, 96181, 96199, 96211, 96221, 96223, 96233, 96259,

96263, 96269, 96281, 96289, 96293, 96323, 96329, 96331,

96337, 96353, 96377, 96401, 96419, 96431, 96443, 96451,

96457, 96461, 96469, 96479, 96487, 96493, 96497, 96517,

96527, 96553, 96557, 96581, 96587, 96589, 96601, 96643,

96661, 96667, 96671, 96697, 96703, 96731, 96737, 96739,

96749, 96757, 96763, 96769, 96779, 96787, 96797, 96799,

96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907,

96911, 96931, 96953, 96959, 96973, 96979, 96989, 96997,

97001, 97003, 97007, 97021, 97039, 97073, 97081, 97103,

97117, 97127, 97151, 97157, 97159, 97169, 97171, 97177,

97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303,

97327, 97367, 97369, 97373, 97379, 97381, 97387, 97397,

97423, 97429, 97441, 97453, 97459, 97463, 97499, 97501,

97511, 97523, 97547, 97549, 97553, 97561, 97571, 97577,

97579, 97583, 97607, 97609, 97613, 97649, 97651, 97673,

97687, 97711, 97729, 97771, 97777, 97787, 97789, 97813,

97829, 97841, 97843, 97847, 97849, 97859, 97861, 97871,

97879, 97883, 97919, 97927, 97931, 97943, 97961, 97967,

97973, 97987, 98009, 98011, 98017, 98041, 98047, 98057,

98081, 98101, 98123, 98129, 98143, 98179, 98207, 98213,

98221, 98227, 98251, 98257, 98269, 98297, 98299, 98317,

98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389,

98407, 98411, 98419, 98429, 98443, 98453, 98459, 98467,

98473, 98479, 98491, 98507, 98519, 98533, 98543, 98561,

98563, 98573, 98597, 98621, 98627, 98639, 98641, 98663,

98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737,

98773, 98779, 98801, 98807, 98809, 98837, 98849, 98867,

98869, 98873, 98887, 98893, 98897, 98899, 98909, 98911,

98927, 98929, 98939, 98947, 98953, 98963, 98981, 98993,

98999, 99013, 99017, 99023, 99041, 99053, 99079, 99083,

99089, 99103, 99109, 99119, 99131, 99133, 99137, 99139,

99149, 99173, 99181, 99191, 99223, 99233, 99241, 99251,

99257, 99259, 99277, 99289, 99317, 99347, 99349, 99367,

99371, 99377, 99391, 99397, 99401, 99409, 99431, 99439,

99469, 99487, 99497, 99523, 99527, 99529, 99551, 99559,

99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643,

99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719,

99721, 99733, 99761, 99767, 99787, 99793, 99809, 99817,

99823, 99829, 99833, 99839, 99859, 99871, 99877, 99881,

99901, 99907, 99923, 99929, 99961, 99971, 99989, 99991

2018.03.17

solidityで平方根(整数、小数点以下切り捨て)を取得

https://ethfiddle.com/iklY1QezRl

pragma solidity ^0.4.18;
contract SimpleStore {
  function sqrt(uint x) public pure returns(uint) {
    uint z = (x + 1 ) / 2;
    uint y = x;
    while(z < y){
      y = z;
      z = ( x / z + z ) / 2;
    }
    return y;
  }
}

pragma solidity ^0.4.18;

contract SimpleStore {

function sqrt(uint x) public pure returns(uint) {

uint z = (x + 1 ) / 2;

uint y = x;

while(z < y){

y = z;

z = ( x / z + z ) / 2;

}

return y;

}

2018.03.10

[DApps]ゆずのは銀行(仮)

http://yuzunoha.jp/yuzubank/

// (Yuzubank.sol)
pragma solidity ^0.4.18;

contract Yuzubank {
    mapping(address => uint) yuzubank;
    event Transfer(address indexed from, address indexed to, uint value);
    
    // 振り込み
    function deposit() public payable {
        yuzubank[msg.sender] += msg.value;
        
        emit Transfer(msg.sender, address(this), msg.value);
    }
    // 確認
    function check() public view returns(uint) {
        return yuzubank[msg.sender];
    }
    // 銀行の総額
    function checkTotal() public view returns(uint) {
        return address(this).balance;
    }
    // 引き出し
    function withdraw(uint _value) public {
        // 足りていること
        require(_value <= yuzubank[msg.sender]);

        // 引き落とす
        yuzubank[msg.sender] -= _value;

        // 送金
        msg.sender.transfer(_value);

        emit Transfer(address(this), msg.sender, _value);
    }
}

// (Yuzubank.sol)

pragma solidity ^0.4.18;

contract Yuzubank {

mapping(address => uint) yuzubank;

event Transfer(address indexed from, address indexed to, uint value);

// 振り込み

function deposit() public payable {

yuzubank[msg.sender] += msg.value;

emit Transfer(msg.sender, address(this), msg.value);

}

// 確認

function check() public view returns(uint) {

return yuzubank[msg.sender];

}

// 銀行の総額

function checkTotal() public view returns(uint) {

return address(this).balance;

}

// 引き出し

function withdraw(uint _value) public {

// 足りていること

require(_value <= yuzubank[msg.sender]);

// 引き落とす

yuzubank[msg.sender] -= _value;

// 送金

msg.sender.transfer(_value);

emit Transfer(address(this), msg.sender, _value);

}

// (index.html)
<!DOCTYPE html>
<html>
<head>
<meta charset="UTF-8">
<title>solidity2</title>
<link rel="stylesheet" type="text/css" href="css.css">
</head>
<body>

<h2>ユズノハ銀行(仮)</h2>

<p id="wallet_data"></p>

<a href="#" class="square_btn" onclick="update();return false;">更新</a>

<br>
<br>

value : <input id="value_deposit" type="number" >
<a href="#" class="square_btn" onclick="deposit();return false;">預金</a>
<br>
<br>

value : <input id="value_withdraw" type="number" >
<a href="#" class="square_btn" onclick="withdraw();return false;">引き出し</a>
<br>

<script src="./const.js"></script>
<script type="text/javascript">
// global start
if (typeof web3 !== 'undefined') {
	window.web3 = new Web3(web3.currentProvider);
} else {
	document.write("Please install metamask");
}
// コントラクト
var contract = web3.eth.contract(JSON.parse(ABI)).at(CONTRACT_ADDR);
//イベント監視
contract.Transfer().watch(function (error, result) {
	console.log('result : ');
	console.log(result);
	
	// イベントキャッチのタイミングで自動更新
	update();
});
// global end

new Promise((resolve)=>{
	window.web3.eth.getAccounts((err, accounts) => {
		resolve(accounts);
	});
}).then((accounts)=>{
	update();
});

function update(){
	var wallet_data = document.getElementById("wallet_data");
	var address = web3.eth.defaultAccount;
	var s = "";
	new Promise((resolve)=>{
		web3.eth.getBalance(address, (err, value)=>{
			s += "アドレス : " + address + "<br>";
			s += "保持金額 : " + value + " wei<br>";
			resolve();
		});
	}).then(()=>{
		return new Promise((resolve)=>{
			contract.check((err, value)=>{
				s += "預金残高 : " + value + " wei<br>";
				resolve();
			});
		});
	}).then(()=>{
		return new Promise((resolve)=>{
			contract.checkTotal((err, value)=>{
				s += "預金総額 : " + value + " wei<br>";
				resolve();
			});
		});
	}).then(()=>{
		wallet_data.innerHTML = s;
	});

}
function deposit(){
	var value_deposit = document.getElementById("value_deposit").value;
	// ガード
	if(value_deposit<=0){
		alert("valueは1以上の整数を入力してください");
		return;
	}
	// 書き込み
	var txObj = {value: value_deposit};
	contract.deposit(txObj, function(err, value){
		console.log("deposit tx : " + value);
	});
}
function withdraw(){
	var value = document.getElementById("value_withdraw").value;
	// ガード
	if(value<=0){
		alert("valueは1以上の整数を入力してください");
		return;
	}
	// 書き込み
	contract.withdraw(value, function(err, value){
		console.log("withdraw tx : " + value);
	});
}

</script>
</body>
</html>

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113

114

// (index.html)

<!DOCTYPE html>

<html>

<head>

<title>solidity2</title>

</head>

<body>

<h2>ユズノハ銀行(仮)</h2>

<br>

value : <input id="value_deposit" type="number" >

<br>

value : <input id="value_withdraw" type="number" >

<br>

// global start

if (typeof web3 !== 'undefined') {

window.web3 = new Web3(web3.currentProvider);

} else {

document.write("Please install metamask");

}

// コントラクト

var contract = web3.eth.contract(JSON.parse(ABI)).at(CONTRACT_ADDR);

//イベント監視

contract.Transfer().watch(function (error, result) {

console.log('result : ');

console.log(result);

// イベントキャッチのタイミングで自動更新

update();

});

// global end

new Promise((resolve)=>{

window.web3.eth.getAccounts((err, accounts) => {

resolve(accounts);

});

}).then((accounts)=>{

update();

});

function update(){

var wallet_data = document.getElementById("wallet_data");

var address = web3.eth.defaultAccount;

var s = "";

new Promise((resolve)=>{

web3.eth.getBalance(address, (err, value)=>{

s += "アドレス : " + address + "<br>";

s += "保持金額 : " + value + " wei<br>";

resolve();

});

}).then(()=>{

return new Promise((resolve)=>{

contract.check((err, value)=>{

s += "預金残高 : " + value + " wei<br>";

resolve();

});

}).then(()=>{

return new Promise((resolve)=>{

contract.checkTotal((err, value)=>{

s += "預金総額 : " + value + " wei<br>";

resolve();

});

}).then(()=>{

wallet_data.innerHTML = s;

});

}

function deposit(){

var value_deposit = document.getElementById("value_deposit").value;

// ガード

if(value_deposit<=0){

alert("valueは1以上の整数を入力してください");

return;

}

// 書き込み

var txObj = {value: value_deposit};

contract.deposit(txObj, function(err, value){

console.log("deposit tx : " + value);

});

}

function withdraw(){

var value = document.getElementById("value_withdraw").value;

// ガード

if(value<=0){

alert("valueは1以上の整数を入力してください");

return;

}

// 書き込み

contract.withdraw(value, function(err, value){

console.log("withdraw tx : " + value);

});

}

</script>

</body>

</html>

// (const.js)
var CONTRACT_ADDR = "0xc02374f85917191281c308a1c0b6c5f63074434b";
var OWNER_ADDR = "0x5ed767cfebf5953835340e012fee4048661b7d1b";
var ABI = `[
	{
		"constant": true,
		"inputs": [],
		"name": "checkTotal",
		"outputs": [
			{
				"name": "",
				"type": "uint256"
			}
		],
		"payable": false,
		"stateMutability": "view",
		"type": "function"
	},
	{
		"constant": true,
		"inputs": [],
		"name": "check",
		"outputs": [
			{
				"name": "",
				"type": "uint256"
			}
		],
		"payable": false,
		"stateMutability": "view",
		"type": "function"
	},
	{
		"anonymous": false,
		"inputs": [
			{
				"indexed": true,
				"name": "from",
				"type": "address"
			},
			{
				"indexed": true,
				"name": "to",
				"type": "address"
			},
			{
				"indexed": false,
				"name": "value",
				"type": "uint256"
			}
		],
		"name": "Transfer",
		"type": "event"
	},
	{
		"constant": false,
		"inputs": [],
		"name": "deposit",
		"outputs": [],
		"payable": true,
		"stateMutability": "payable",
		"type": "function"
	},
	{
		"constant": false,
		"inputs": [
			{
				"name": "_value",
				"type": "uint256"
			}
		],
		"name": "withdraw",
		"outputs": [],
		"payable": false,
		"stateMutability": "nonpayable",
		"type": "function"
	}
]`;

// (const.js)

var CONTRACT_ADDR = "0xc02374f85917191281c308a1c0b6c5f63074434b";

var OWNER_ADDR = "0x5ed767cfebf5953835340e012fee4048661b7d1b";

var ABI = `[

{

"constant": true,

"inputs": [],

"name": "checkTotal",

"outputs": [

{

"name": "",

"type": "uint256"

}

"payable": false,

"stateMutability": "view",

"type": "function"

{

"constant": true,

"inputs": [],

"name": "check",

"outputs": [

{

"name": "",

"type": "uint256"

}

"payable": false,

"stateMutability": "view",

"type": "function"

{

"anonymous": false,

"inputs": [

{

"indexed": true,

"name": "from",

"type": "address"

{

"indexed": true,

"name": "to",

"type": "address"

{

"indexed": false,

"name": "value",

"type": "uint256"

}

"name": "Transfer",

"type": "event"

{

"constant": false,

"inputs": [],

"name": "deposit",

"outputs": [],

"payable": true,

"stateMutability": "payable",

"type": "function"

{

"constant": false,

"inputs": [

{

"name": "_value",

"type": "uint256"

}

"name": "withdraw",

"outputs": [],

"payable": false,

"stateMutability": "nonpayable",

"type": "function"

}

]`;

// (css.css)
@charset "UTF-8";

.square_btn{
    display: inline-block;
    padding: 0.5em 1em;
    text-decoration: none;
    color: #FFF;
    background-image: -webkit-linear-gradient(#6795fd 0%, #67ceff 100%);
    background-image: linear-gradient(#6795fd 0%, #67ceff 100%);
    transition: .4s;
}

.square_btn:hover{
    background-image: -webkit-linear-gradient(#6795fd 0%, #67ceff 70%);
    background-image: linear-gradient(#6795fd 0%, #67ceff 70%);
}

// (css.css)

@charset "UTF-8";

.square_btn{

display: inline-block;

padding: 0.5em 1em;

text-decoration: none;

color: #FFF;

transition: .4s;

}

.square_btn:hover{

}

2018.03.09

web3とpromiseの組み合わせやっとしっくり来た

このタイミングでpromise使えば、EVMと通信後に処理を進められる。

<!DOCTYPE html>
<html lang="ja">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, initial-scale=1.0">
  <meta http-equiv="X-UA-Compatible" content="ie=edge">
  <title>Solidity1</title>
</head>
<body>
  <p id="p1"></p>
  
  <script src="./const.js"></script>
  <script>
  // blockchain start
  window.addEventListener("load",function() {
	// スマートコントラクト
/*
	var promise = new Promise((resolve) => {
		window.web3.eth.getAccounts((err, accounts) => {
			web3 = new Web3(web3.currentProvider)
	        web3.eth.defaultAccount = accounts[0];
		    contract = web3.eth.contract(JSON.parse(abi)).at(addr);
		    contract.setText(text, (err,success)=>{resolve(success)});
	    });
	}).then((value)=>{});
*/

	var promise = new Promise((resolve) => {
		if (typeof web3 !== 'undefined') {
			window.web3 = new Web3(web3.currentProvider);
//			web3.eth.defaultAccount = OWNER_ADDR;
			console.log("window.web3.eth.defaultAccount(設定前) : " + window.web3.eth.defaultAccount);
			console.log("window.web3.eth.accounts[0]            : " + window.web3.eth.accounts[0]);
			console.log("OWNER_ADDR                      : " + OWNER_ADDR);
			web3.eth.getAccounts((err, accounts)=>{
				resolve(accounts);
			});			
		} else {
			document.write("Please install metamask");
		}
	});
	promise.then((accounts)=>{
		var eth = window.web3.eth;
		var abiObj = JSON.parse(ABI);
		var contract = eth.contract(abiObj).at(CONTRACT_ADDR);
		console.log("window.web3.eth.defaultAccount(設定前) : " + window.web3.eth.defaultAccount);
		console.log("window.web3.eth.accounts[0]            : " + window.web3.eth.accounts[0]);
		console.log("OWNER_ADDR                      : " + OWNER_ADDR);
	});

	// こいつは送金成功する
	// contract.deposit(1, {value: 1000000000000000000, from: OWNER_ADDR}, function(err){	});

	// 引き出し。owener設定したら成功した
	// contract.withdraw(7, function(err){	});

	var p = document.getElementById("p1");
	var str = "output : " + abiObj;

	p.innerHTML = str;
  });
  // blockchain end
  </script>
</body>
</html>

<!DOCTYPE html>

<head>

<title>Solidity1</title>

</head>

<body>

// blockchain start

window.addEventListener("load",function() {

// スマートコントラクト

var promise = new Promise((resolve) => {

window.web3.eth.getAccounts((err, accounts) => {

web3 = new Web3(web3.currentProvider)

web3.eth.defaultAccount = accounts[0];

contract = web3.eth.contract(JSON.parse(abi)).at(addr);

contract.setText(text, (err,success)=>{resolve(success)});

});

}).then((value)=>{});

var promise = new Promise((resolve) => {

if (typeof web3 !== 'undefined') {

window.web3 = new Web3(web3.currentProvider);

// web3.eth.defaultAccount = OWNER_ADDR;

console.log("window.web3.eth.defaultAccount(設定前) : " + window.web3.eth.defaultAccount);

console.log("window.web3.eth.accounts[0] : " + window.web3.eth.accounts[0]);

console.log("OWNER_ADDR : " + OWNER_ADDR);

web3.eth.getAccounts((err, accounts)=>{

resolve(accounts);

});

} else {

document.write("Please install metamask");

}

});

promise.then((accounts)=>{

var eth = window.web3.eth;

var abiObj = JSON.parse(ABI);

var contract = eth.contract(abiObj).at(CONTRACT_ADDR);

console.log("window.web3.eth.defaultAccount(設定前) : " + window.web3.eth.defaultAccount);

console.log("window.web3.eth.accounts[0] : " + window.web3.eth.accounts[0]);

console.log("OWNER_ADDR : " + OWNER_ADDR);

});

// こいつは送金成功する

// contract.deposit(1, {value: 1000000000000000000, from: OWNER_ADDR}, function(err){ });

// 引き出し。owener設定したら成功した

// contract.withdraw(7, function(err){ });

var p = document.getElementById("p1");

var str = "output : " + abiObj;

p.innerHTML = str;

});

// blockchain end

</script>

</body>

</html>

2018.03.06

32bit16進数の文字列をint[32]に変換

int[32]は要素数32のint型配列。

Solidityのkeccak256()は本当に分散した値を生成しているのか確認した。
結果はOK。

keccak256()の戻り値はbytes32。
keccak256()を入力をずらしながら1000回実行して、
1000個のbytes32文字列を取得して、
JavaScriptで全部8bitずつ数値に変換して、
出現頻度を調べた。

function p(a){
	console.log(a);
}
function dispArrayList(a){
	for(var k in a){
		var v = a[k];
		p(k + " => " + v);
	}
}
function bytes32StrToByte8StrArray(s){
	var strLen = 66;
	var cnt = 0;
	var c = [];
	for(var i=2; i<strLen; i+=2){
	    c[cnt++] = s.charAt(i) + s.charAt(i+1);
	}
	return c;
}
function byte8StrToUint8Array(bytes){
    var a = [];
    var cnt = 0;
    for(var s of bytes){
        a[cnt++] = parseInt(s, 16);
    }
    return a;
}
function main(){
	var a = getRawArray();
	var res = [];
	for(var s of a){
        var b = bytes32StrToByte8StrArray(s);
        var c = byte8StrToUint8Array(b);
	    for(var v of c){
	        if(undefined === res[v]){
	            res[v]  = 1;
	        }else{
	            res[v] += 1;
	        }
	    }
	}
	dispArrayList(res);
}
function getRawArray(){
return [
"0x3442f74ca0253a07887a7d9b1e0762db4eb5db0a978110c8e47e3645b1990754",
"0xe633a6e6169cb26fb5685dc8942ea00a6db685d6cdc7f1b947bf61be03d8ebfa",
"0x7eaabab369e4b3f64b107e9ea710108e304b254c5b48028cb955193781f15744",
"0x295a18f9dcb3e39c060cd4cbd1cdbef7b1fdc1008e4bfaeee30c9c97cc194794",
"0xeb82a23a4c804a15091176fd7cd04407554fefc916fd54848497d26c136273ab",
"0xf2401d2c5acff51388a8fb89324d2f9a49bbc74880bbba8b25cd7cc161aa7df6",
"0x5f280353b64a2e420c634d6079741544e20086554063ee5c467eb7e20d763e5a",
"0x6324cc64bf3a9f2c28ec73e5011cc70754a5b326f4061dc66e5822df3934d50a",
"0x90d8711285dcba9df0ec51e011492a1fa10ba04ad72cb070df1fa848d2376e89",
"0x66b25c2f32fe65e4087137d2e7c293e74279f4a72121a2e56c66f78b50be99ea",
"0x382aa7762f728b1902aa40cfa058e196b0373a20604fde85a03f262f45f8de1a",
"0xcfd4c76129c992f65603ab3a1190c053c978a18f22978e9108dc2c537f30871e",
"0x8deaaaa66408daa6898ac113c474af6810b8b28935cb823f25a13747f8c01186",
"0x75e6fdb8663b01d975655df1065e9aba7fa9fd9233841aac2f2bbcdd1c6e4aa4",
"0x12708ab6ba11fbf1d1b569b63e8eaf123ef46222626c17c0dc3218ee984da4ad",
"0x7e4bfa0830c91a920be1896420ba82d3bf6ca58290c8248bcbf10e4a18c28c51",
"0x86bbe85b9768a6a38d371d3a0a2ca87b4eef7adbe8afde18f29c0e9d31b72691",
"0xe3b51ff8af5b57e564641f7ed6f8d15bde06436c9c9b725e22eba776d75fb389",
"0x764e7b31640765b33cdbc5cb3ba912507712d604262599ccfe8b09973d01a932",
"0xc1d085685e393064591bd2570d8568a2b599239db2b9151121b5fc79d7994287",
"0xe3d724d6600dd68ae9a71bb73c03fc686adcbf11f9181908a24faee5d4ad4ab3",
"0xa084bf85a9f44fe7431efb41f880186e290fc8bd938714098a53731305093535",
"0x8738131bdea391cddd31d9f2f43e4046f008dd059b2c24759ba5279c7d2f0dfb",
"0x2a8fda3fe6c68457a0c5b2723623c6f95c4edbb93d9f57eb94f1546416762d05",
"0x70d81e80aa5574ade8d4aa6160a851dfcbbf649199eb4ad7248ade4b53e09182",
"0x8ca686aa999bae5afda6763ffd7a6bc7fb067fe34a555c1cccac3b31f09ca755",
"0x83a1c38e1a08225ccd39e36d49c6299a3245daf63b0468427dbdfae5634c61a2",
"0x184d43d9e0affa36adf49768eb9c75cd35efd8c944f9b300019db61df1436269",
"0xee9fb484fbd70f493720265ff974264f13bc405257c17bf2482fe7604ceaaed3",
"0x3cdc8f0b8cc257d5384b62cbbadb8913dc5c0608fad3ced4cba421513a201b89",
"0x293ff4b0080aab4dc3682d690d55b927c04d138c362738973da4906773eb30c6",
"0xb7524c984ea7d332a8feb650b01713128f9082acb73994ca96389255d2a4730e",
"0xfe60d1a332ea357294da03ede485b5b3c74521b9bfc74fd4840f3964e9bc1ac1",
"0x4aa060fa5ad4954ccc107aa7e90c20c2f77f9e336a8b141c9cc06926baf63232",
"0xd1165e921fec1910e0d79dd97470c599a50fa48c6bf3783c2d44d89bb559f40f",
"0xee883743930db97c0a489a651dde908ed9c1133fffaab57d8aa0d49a2d0db8b2",
"0x71ee563d0f4e5acb23e5993246988bc4c1b9e992f00223c6cc500bf275785217",
"0xf486a72d8c6677fb66bb77d5bd4ba4f035517d539676ccbd732522817aedf811",
"0xe4f327f474d1a084e47b26d2436735e1d1fdc712b96b3a280d1fc61ad5d1adf1",
"0xb24c66050962b4b82200d3658fe7f2a2389efe36437a66a609fe3504b3c9cc4d",
"0x01697ad130844636f5cffcc4359edbb53afe374b003be0eac6b063b151249630",
"0xa8b9e74e641918f0ab54a00c774c9c92bb614f0275b11a8e465477247052132a",
"0xec5d99064b77215df369848de0394b881d4b8ba290de1777c766629a16ea9461",
"0x50772e24068c85394ca7e0e920d11871fa3c9bdb2627414e9c5aafc1516372dd",
"0x11b74447d6b30d423d86921f6a01ec2ca1ca4ee3c5c642b1d60480e4a2645c9f",
"0xa5afbe907339030815c92421eb01a890a5437e1411c4d1f9bf5fca4773500d6a",
"0x45ee73801b47b5d7ce2f0afa6a0642e3baf4fafc4e9ba0caf2e883d58eef5a7a",
"0x9cd35569a35252a420e9ae9149d888532ca4bcfc13bab64aba761513a3a0b649",
"0xd99be949aa639159bbe8489bb244ec98f8d0dbe6115e64464eee582f9334bbf9",
"0xfe6c1e28cdd8787a0921819b77f7fb9f5d49e8999564399681c7ce8025381fdf",
"0x973a4b1ae4bc6569f5146e1a3cd52b9bdc17756c13b0405f776cd94f76ff5d0c",
"0x5bdbbacb8408bbce83ea27aa7586d4e0642b10487af27ecbda690c6c0f24ccf2",
"0x4f824650ea4f61520abcba760c48832a2266aadd046cdc88b1fcaeceea04530d",
"0x70202a98a53e4cb6ebef402db6283d38b7498d10208e381fa0dcf02f2651f595",
"0xcab57894b80f3122673d2642e48347ac389d0277a52e85af2f28dbd26eb0514d",
"0xde1b1b11ab24e88dc16f02a43961d4aa355a3cebf8b661a721346ce9bd6a829a",
"0x738a869f502ddc00b1e0a322c56e16b45365605f661b13816119c437e6f7cdaa",
"0xb5f4401441ba9a4f9e3f6c8b506d71416c1ba56b059a3b7fae6aa8dca9082a3a",
"0x59dfac26b7608e736d6d2090a0f61261679036480337766984429fb5e0ac432d",
"0x0e3aa4422e0231ab8466458bede17422d70582be72e4f29a1bc1995a7e2b513d",
"0x4a816789587f5c9ce919bd9a33057236f03052b267ea9f2fcdfbb6ba86ad2f13",
"0x4b6b3a989d116a4862f97deb610e8ace98bbe15c69cb3be92205f7642068e612",
"0x068d8e98032b1eb9868c5cb44022a16abc510b5b58f60011616f1e13accb8f15",
"0xa70735f3efe89fa343aba97d28258560c8a999323b40d75ad7f2cff4712fd0aa",
"0x871aaffb67e56d83059aa6d0f8a0966f781aadead8b066d6facb57f1b21c0d0f",
"0xa5246ae07677ccd5230cee2dd6ee366bf04d70cf98993188f5f70b3fc904d325",
"0x7ffe9f9940f080dc9844f29255f1d8916cf7ba1f4a1ba12cd3cd92e994827b85",
"0x9facea3fda8a87661a7f259424ca4dbbd9c065b237b950957f6213690084ac24",
"0x0d32b26b97a75b41df85eaef8263333076fa17cfbded976b1d9d250743110a90",
"0x61e961bcffd832b16ae80d987e8031a14129a9840803fe48677bfd203eb36940",
"0xf822c3a45f059f16faa28544480977b9e4101eb3e8bfeb6242fa1b11eae5fdc8",
"0xe5967386ed3d8462196f6d50a11f22c3fd8b7b38651e5da7b3b2dc26dd4f8e7f",
"0x887f26d9abdfc9a6bf1d4ce6847c2123dea80f5c03ae02c8f94170dc0f4a9603",
"0xb7baebb85603366bb5283dd60c00cf55191d516acda02f4901dc339e81bd5f06",
"0xb3dcee9fdea579ba9553d516ab740be22a2d7d4253ec99eafc8cefad75a65eed",
"0x7424f24c6f90454321d8d39f16cad81d9fd124b6e30ea32b7471e3db5928463b",
"0x679417c7cd4b74f4cb690563ec746e741476bb88a7a458a898a2c5e1c6768f4f",
"0x05458a9c9f142e5268f12e3d3e5df19f100037833fccc39771b866f0d5b91fe4",
"0x85d9ed9259619c3106dc44480c44171a236292b6224c9a48b2fdfbeeda136e69",
"0xad5d2ff0a337231470abdb638c95543315008cb8a56606b528f4391b2e42ba9d",
"0x88b5ea26554c79d3c79a6f7688956032bc0d488e64172e5d7a1d9d905ebe5aa0",
"0xe13a6caf7fc0d57bfbe11c41d80111a4593202b9d09d39e9257e1c93d0b4e1c0",
"0x1f84b7191d2a647f911aa8b1b659ad89197c3d0b86dcd46e819a42f14fcf0032",
"0xd0b3fe3ee12d05151c36077bb46e78e9475189629881712d5a58f37a4daaf43e",
"0x3fa1a7cffd8fa535fa2e35839b7e46081682ebd3bec2e0f39b5e9ff35ad5c30a",
"0xf479265e60d29b609a1ad40e878cb1637d5431360fd40226d7c959d8db43a40c",
"0xeb5ecbe609eab890cca4b037c3d004196f5c36b6f8c138f5ea529ad92aebd893",
"0x4dc7b80da6b88de69289bc9416476a7f2a216dc636b1213f78bf1ed701f04572",
"0xe376359f332850970a258551569ad2e6edd353d285a03abadc7e04e54b594efd",
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"0x0035c90df60864d579361894df07cd5b18b4d79cbe907e57c72470721a088426"];
}

main();

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function p(a){

console.log(a);

}

function dispArrayList(a){

for(var k in a){

var v = a[k];

p(k + " => " + v);

}

function bytes32StrToByte8StrArray(s){

var strLen = 66;

var cnt = 0;

var c = [];

for(var i=2; i<strLen; i+=2){

c[cnt++] = s.charAt(i) + s.charAt(i+1);

}

return c;

}

function byte8StrToUint8Array(bytes){

var a = [];

var cnt = 0;

for(var s of bytes){

a[cnt++] = parseInt(s, 16);

}

return a;

}

function main(){

var a = getRawArray();

var res = [];

for(var s of a){

var b = bytes32StrToByte8StrArray(s);

var c = byte8StrToUint8Array(b);

for(var v of c){

if(undefined === res[v]){

res[v] = 1;

}else{

res[v] += 1;

}

dispArrayList(res);

}

function getRawArray(){

return [

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"0x6faaa143545db598011a5393dcdb62e2f14278df0a7032d6d96157532c23c08c",

"0x09cadfcbef8c99f7f59fb2b618631ed9ea542c346c2073e73671e4c5ef13c6ce",

"0xea28b194d30757111c46bc2a17129d01265b7638afc8b93090b4b7a896b6f7e2",

"0xdc7d42728ecdd10da323687efab2c575295628088e8a9b82b0757fbaf6d50b0a",

"0xe86caab8cd41cdd25046553011039ba1fb25e0dbb00de5cdd6c083d877f5a2ac",

"0xd1bb407c9495104dc30a65736579a22859b0af313cc9c93b17a35c8561bae82c",

"0xce6f7a0468fea4a5734d117496fd5e8363b75a72f7f196a32a9176f92f5452bb",

"0xb3af293da621c9b47b822e067bb8fc656cdbcc837c0ddb6d1fe3000315e0533a",

"0x1b9b2a049d66dd20609341cf00e04b39f4963a82d5759e53e07fef7ab5b1104a",

"0x20b8ce5a44529126a61dc1b7a74500030f6fa0d2962527ec75de56b69aec76d3",

"0xcb2a4f9e4b8eb94b3d5fbb7dc0be7fae48e1f53bdffb168f15e2dc21c53ff908",

"0xdd916b2bba8c71a2a60b27b39e1aab7df2b8aac52989a021fb3b7aa356f47ece",

"0xe4d69d3d7b0449675c998f10535e9311c6be0188006f0689bf37dee42dae13b5",

"0xa1626ae3b9915a83563e577928e504c822a323c7e9640832ef5b360ef4df5b5a",

"0xeed35eb3fcd6cd302213a754b1233eb9e6feae59016f5d6ff074676a27fb237f",

"0x929c98a53614512bef03d5f09d58e82ffdd49e59dc86963a3e151e28e797ff2d",

"0xc10df924de8e8979002dd5e2dec3e33c0d0992f73e9f23ea67ed0d0e44a8d46c",

"0x75588e94b5936df6240bb0ea117490f22ce73e4db262333c501bacb7b6e6464c",

"0xd13887d0acc6f3683ef32d864d1759796c99fcfff675a52f33ff0923bf6ed082",

"0x28c2b6834444b40c0f3e57d94528f69eec2eff793747920f37d6730157e2acab",

"0x225a5c429f7d20d662a9856a4b8ade8951b8e251708c66c8f2d5ba41e1e8f4be",

"0x5612167dc5116a1f35ff58c3e138f70eabd085817a65b659386377b03b5c9a72",

"0x8f346dfd624966d02359c5a38ffefcf78ee6e204f5b0ec3cfd3f579014948075",

"0x53c8ae8c72a158bf8fd6e7b1c26cad43411bd8859c1743a5636f6f735572af9d",

"0xef3603f9cfb646c5c8d5741a57d39d2b02a7a2277b75b190866b388b3c71fd95",

"0xfbe7d6b63c7029f04f54daf6724f34fe3a108afbb6ba7748548d2a5dbddcac41",

"0x03bd1c9549f8dada4db8e6b866aabf622f1299d5e716c1def1dbf041339f9a3b",

"0xf714e22ed3bcc3e03946e91698721ec593d75a7b64bdf68bb5c07ec919a9e482",

"0xfedaf12b0712d0aa77826118f4c48700bfe315a64df5433dc8e7bce2e879eb11",

"0x188317238c7d16dab288baf685e4d8bc1645146adcae9a2497592211d38793cd",

"0xc1e6675f33b17844e2a09754185ca9aa625e642d60c3800f9f7ff063dc2051e1",

"0x2ea427a8e41e84ed2651c63db8453b7fce9aa088820c844fd30ee1b537b0bd53",

"0xbf47795d2524cbdafff556cd99504a7227e40c8ba6229d9554aadd2cdbe8abaa",

"0xd535ee9b57355e3da4670615b2920c5bef5b302dee4fbe2a38a7a61c579a403e",

"0x525185dba35de8f3b1e1a2a4ca7ee9e7d67aaf14028100ea6a03847353236bb5",

"0x21355f7366365c6437ee715dc648e2f3b2b9dbce87b2574b19827094d7efb077",

"0x15d670d434a8ba0e864f51e754ddf6effbae8fcf29d2c52f3fcda180fc5d3c58",

"0xe6c89243e23131f5f93a7e075ede66585981e365c49330485e521145608e7597",

"0x90628529ee32e365c7d2fbc4ff8ab2394b088c735c7d1cfb2d4cbc3915d2354f",

"0xe0f9e48355b03fd863f25c12ac71e1128ee16e20f5b2c341fd464a3def7b41a6",

"0xeae36edfc0ee8bc9111ee2a06e0a9dfad67e4b2d1f66329870d29bde747c7c86",

"0x190838e77aee6b28d7f3ef45910ac2dfd56e68f37e60b12e47a6de626241d181",

"0x689b6327a5de1d0bcba08a64820487c8a9bd6ebdb34de8520284220c282cde9e",

"0x7aac743e74d4b5f12e680f82421f4ecc3677c51844d2f1d854d022c7f3e82839",

"0xd9f6abfda12958727ee96bb1f39513cf940f4023dc2fd606ae39504c5f27d039",

"0x099f719bcb5beba5f4a9a121cc1252373cb8a730703c8755aa5132ddbf4385b0",

"0x0c2165a7ce1c7bb900514ecd572aaee6a10425dcbaf0e4efb29856d57589d026",

"0x11bead2e6dc96da4862dd88951383b2a386bbbe0a0bbf84c29919900934166d7",

"0x8f61ecb12e682cb34ef055d50f09e25a8d8e86e212a79a479588dbc50a5a9981",

"0x96b9adfbacf101f355dc4598c9d45a7d9e2830b78dc89c2704857a503bc80f0e",

"0x0fcb32baa95c0c2a2b440659e67ab4b3b9604bc7a4e50507e9486b59d39ef890",

"0xce94c2b1256854bba82276532958bd810030db8494456237bfd67f19e71fa66e",

"0x29e267fa7b50de8c95f292c421e049bd2dda37bf1e587197dbfa6d58ed18c89e",

"0xadc73a6de712150699ced073ac63fbf22375233d8a929f28374a4c2d60e060de",

"0x1ed02c62440afe8a1526606d0926e57eb901a29b0c7e10e619619d58b3e48f56",

"0x3ba7a6537fade0d022548f00c2866bbb082606ae33b0bd2cf569ee3193a3e357",

"0xf3eb8569ef448e577c6652150adebb45a264b8ebe1623bee78be36b18e52048e",

"0x1ba0cc1078bfed42a21ac0ca484cf5e769d31f5ca9c2c8bc527520287e1d903b",

"0xbf9e830fe259967f4db709fc2558a3f1c6c1cbd0ac4997e7dda60ab99bc0b63a",

"0xc25d94c30593ddda7d8bbce8ff444a1b517c6c2cb3066a72c8c78254b3e17bed",

"0xe92deeca7581ebb20afeba2fc25aaa88f10ce85cb46614d28b67c1641865eac1",

"0x18fd575fc5d817062a505c63a4d756cbce9204ac16ace48f3df9cf5695e77375",

"0x2f6867946d84c26c63e23fa4af58c97c290e597ca98f850783c4ba068a0d0d96",

"0xd16b0f81ba41018a94253d3330fe6421f57bf68bf000463f03961e4b72eee634",

"0x05193eec023838e530caf37fa26bd4137cd75886a78d74a05ae43a28867be55d",

"0x8faef5c1fdde2bda3eb972d6736a23686423b0ecb717b7d89f2ffa049092d165",

"0x5a803d07d45e2acbb867ffbc96ae3fa764f20270321ce0bbb26391147baa4902",

"0x71433e8c5841461df79d7a83e6c21a1267ffb6e1b751253ad995f97767c4ff3d",

"0xc578b546c44c31bb530d532e814ffa5ce4e6e21658defcbafa37fd09c6303734",

"0x4c580e248375935b9195096dffd768ba8d937bf7657dd3af657367716f2688bd",

"0x8aab32c8d973157e598719b2dc49f9d682286527e6f7b389d7f849d270a5d527",

"0xe9ebc74c0e78856a1e36fc1902df5ec653fab70e1f37282fe668e750dadc883c",

"0xe38e1d904697be87eff359c885ce949c812ba2f0223e936fb3badf28abd52168",

"0x9e1b63e188cf268a1a39352350a3102c35f8cbe93b56178ccc42ca4ca4bfe170",

"0x7d7b9f02ea883b86c1358f1bb80f537f7d4fad19d5af4caba1f1da2b6239face",

"0xf0c0b5b5330c5d4bcac0835f0128ee1d11ae3be282f13d462f591c7f70d5cf4e",

"0xdf3293ce97c574716b46fc866130682bd2e0c11cd11ca057aac10a5cb9f1ca35",

"0xff6fe7890ff116517b04406347955ddb0651acad99232fcd7c7b144950559c9b",

"0xf8e4ec8459089a25c843632478bb11031dd3e77705dc013723b2d8af47887ad6",

"0xaecb1baeb8d739926a3f306c0c22060e5f63afd8f131488c2b16ed2261afb5d6",

"0x573aec7111f673cffb485adde33985aada438a4be14c35f05a35698a6ffa3f65",

"0x2e7000a62fd51f1a0f265ba7e7da76165634b073272e01940b9e41ebc9f0d3ef",

"0x64a0f808391806afb2be73c5d4a85422187b4a54c5872a92b76825c7dea1d8c1",

"0x2ebe064a5cf346d747f59794d97f1b6841dc0496442505e387eebcd326904efc",

"0x8f1df4af5b02d62d9940de7f6d9527a9260c5229483ca14c7bc87f62949c148c",

"0xc4ed9326ea8321fee8f92a0f988105a30df3cf8e8c68e66fd4350aa7530a46ff",

"0x927369358c35ed8c69b4a46fb79b46c36a6b1f5557978903a1f25c348919e515",

"0xf25c470edd648a1514357a8b08bb3b7c989d29e091854c1a7e467e70f7b0c986",

"0xbe8aa2fb87323fd278274f13156482c829ea74fc9693ebaedbf9fe5f5fbed0a7",

"0xbb74a9567bcbcff426d2e7f2b6b56e4a619858fad9b171a96234573d390e0167",

"0x49dcd1e519dfaedc22b5efd37d654cb0aec57b96afc45b1b2b82183fc6fdbd24",

"0x18c54f960ce9f0e0117653d57f50827b31d61c3ea8f9b4c2c919a40abe38f7d1",

"0x5ae35d61dfa43bde227147fb23ee37416f1607c0ed7679ba96d55bc8c102be47",

"0x055f5d83ef5ad2749593255d1d984c0a1ed6198290af4344bfde5c550a713d51",

"0x73619d7c79a90b6bdcf4392052924146d8713916ea17915894625fa5ba78bda7",

"0x849980e8d43cf74abffe554013e485096d61ab720c88cfdac77cb98dd8c70670",

"0xc6265af89d77bc05a8c3319db2a8cedd4cf18ce538c90c806952b6194179919c",

"0xf8add229d414faffd8698ec7d01e2d223742e089733e538efb8544f993de8c00",

"0x3b651a94f7878a0a9c7ada3d50e18af1e98f4963cc9277462254585ff892f7ad",

"0x3395584b5566faf190658701081d44a0931c78f5bdf29bb8bc2292964d0c9219",

"0x125daffcdb3f27cbb682a3d27a9f297201a10a8b03f34a0435cefe8d0afeb677",

"0x81706500913fb32d71e5ab41c42dc8736d69b50cc92827c26a087bdd278d2102",

"0x3020e40e2b4c4547e93bb643d0d53193adf07a908984667ea07b9e1ca52dfe93",

"0x5f29770c07d9b9208273041508b6330d75dc6d82d036bd6624d543cc761a0410",

"0x8a7f717a681fb36b15da9e59369b646b1f14f059e965e7858f4db579c920ce6d",

"0xd11e197a4d8f49b550c8e7b209b741a30c1964491f11f81fa6e76fbbe7574067",

"0xac559e2b69fe89cbbc8abce80742888870a50ea4ebedd6fecbbeba28d24bbf13",

"0xfe1330db5ddbdf69eb6956a0f564f1f776643a7314112471feddcadfbc8a6195",

"0x1825c17ad35439251da1e7b6bfa9440e7a7a1be9d8b05b2047a4721a4d6b9dd9",

"0xdd3e63c99ab74d65144213abf146fd885f196cde915275c399cc9304ff0c2460",

"0x675014f5f6b983ea3bae6c6cc98b22fa277f3eecbc84d83ab87a4b640bfb5adc",

"0x2488db77a06b9ba0fb67a2f80db648cfee69d732a37a7389f069be16709fd3f5",

"0x9cbd0c2eb12dabeda16d35c94c1771e0a861bc2b8471ec87e0f3666425b49ecf",

"0x9e91b70b3925f664ba64351546158987d4156bed7f53fe0c8ff24c19d14246d4",

"0x700c8b6610712d859171a3846030d4a4215c83881e65e7e0bff359a71525ffed",

"0x07c2abfe1807c7daad2869a2e79b94cb8492d0db3132aec71f818ee487cf9f7e",

"0x8da0426b34ce105e9d5f6f0f9d80364d06d8fb1865ef83d590f53d11ffa9aac5",

"0x641f16fd648f6e25ec23d29e768b63e63c3528854cd6a6f340ff5ce26eea5ed7",

"0x360e5d425109244c2738e970e8f20066ae7f9a9d164a6560562b220101060e73",

"0x6e19627271dc85efdb6e5cf391d4bfb29f0aecf69d03fa8431f09dcfacf835e8",

"0x00051eab8c340c8b93cf9d0a9b1bca1f556cc20dd5273151c8e88fb257948523",

"0x1ea2e99eccc87e78aad0bebe976dfdfd00296522d72236fa50c611b246dea0ef",

"0xf27b8a132daf50357cfa8d703ad47374dd5f5b06822659435b139e7bc49be620",

"0x786c4c8e73572a73987ce36a3110d0307b0d215697e187bff1666aa9060ad2e7",

"0x344c5781d4ec0238615df0871a0d870a488c9c69831fd8723508a375ed4fd5de",

"0x5dcf46ae2ea45cb4f9b40ecea680726db8f43a03aac5c7743d359d1b321341ab",

"0x916f767b848e00590b8209e7ec851e825b671ac51b05ee018fb6c1a19a9bb4c1",

"0x440870f0ab9083165746c9bcbc08d81311a3e2d3206d7d74ff83574af0c4f266",

"0x3bc18ddfa676ec0073893cfe0db0f6718de466bd2be2f26943bac7f77dba50a3",

"0x2e8c78a68fa9348ea828ee4f72378ca4064b8019b3486d43f39b04788d5449c7",

"0x194617d1fa9556ea6bd6da842025fcd7ceff40ed3526565ddca139804c3a3df9",

"0x0035c90df60864d579361894df07cd5b18b4d79cbe907e57c72470721a088426"];

}

main();

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238

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240

241

242

243

244

245

246

247

248

249

250

251

252

253

254

255

256

0 => 132

1 => 126

2 => 130

3 => 136

4 => 121

5 => 118

6 => 119

7 => 118

8 => 138

9 => 124

10 => 114

11 => 127

12 => 144

13 => 125

14 => 102

15 => 128

16 => 136

17 => 128

18 => 137

19 => 118

20 => 125

21 => 117

22 => 135

23 => 123

24 => 130

25 => 128

26 => 134

27 => 139

28 => 94

29 => 110

30 => 129

31 => 137

32 => 132

33 => 111

34 => 148

35 => 108

36 => 127

37 => 127

38 => 130

39 => 137

40 => 120

41 => 123

42 => 103

43 => 117

44 => 104

45 => 137

46 => 123

47 => 118

48 => 119

49 => 124

50 => 121

51 => 128

52 => 126

53 => 144

54 => 124

55 => 141

56 => 131

57 => 128

58 => 134

59 => 121

60 => 115

61 => 128

62 => 119

63 => 122

64 => 106

65 => 129

66 => 129

67 => 130

68 => 124

69 => 127

70 => 155

71 => 127

72 => 103

73 => 130

74 => 118

75 => 118

76 => 138

77 => 127

78 => 89

79 => 125

80 => 129

81 => 117

82 => 126

83 => 121

84 => 116

85 => 121

86 => 109

87 => 135

88 => 137

89 => 118

90 => 119

91 => 111

92 => 121

93 => 149

94 => 117

95 => 109

96 => 91

97 => 127

98 => 113

99 => 134

100 => 133

101 => 120

102 => 146

103 => 120

104 => 128

105 => 129

106 => 112

107 => 127

108 => 134

109 => 107

110 => 124

111 => 107

112 => 139

113 => 126

114 => 119

115 => 131

116 => 132

117 => 130

118 => 100

119 => 130

120 => 144

121 => 117

122 => 135

123 => 129

124 => 122

125 => 118

126 => 147

127 => 133

128 => 118

129 => 129

130 => 134

131 => 148

132 => 126

133 => 135

134 => 116

135 => 111

136 => 130

137 => 133

138 => 131

139 => 117

140 => 133

141 => 108

142 => 138

143 => 128

144 => 142

145 => 127

146 => 120

147 => 118

148 => 139

149 => 123

150 => 127

151 => 116

152 => 107

153 => 136

154 => 132

155 => 125

156 => 142

157 => 163

158 => 120

159 => 132

160 => 131

161 => 111

162 => 118

163 => 120

164 => 118

165 => 112

166 => 99

167 => 111

168 => 115

169 => 135

170 => 126

171 => 115

172 => 148

173 => 117

174 => 120

175 => 113

176 => 141

177 => 138

178 => 145

179 => 132

180 => 101

181 => 136

182 => 131

183 => 139

184 => 105

185 => 120

186 => 132

187 => 131

188 => 104

189 => 115

190 => 125

191 => 123

192 => 105

193 => 125

194 => 117

195 => 119

196 => 145

197 => 126

198 => 120

199 => 148

200 => 125

201 => 156

202 => 124

203 => 124

204 => 111

205 => 117

206 => 135

207 => 123

208 => 129

209 => 126

210 => 138

211 => 130

212 => 130

213 => 152

214 => 116

215 => 116

216 => 138

217 => 114

218 => 110

219 => 133

220 => 144

221 => 114

222 => 128

223 => 124

224 => 130

225 => 124

226 => 139

227 => 120

228 => 125

229 => 123

230 => 125

231 => 133

232 => 112

233 => 121

234 => 125

235 => 125

236 => 121

237 => 105

238 => 114

239 => 135

240 => 131

241 => 122

242 => 127

243 => 126

244 => 123

245 => 115

246 => 131

247 => 124

248 => 125

249 => 112

250 => 126

251 => 134

252 => 106

253 => 126

254 => 146

255 => 110

2018.03.05

solidityでクイックソート

storage領域はめっちゃ書き換えるより最後に完成品を代入したほうがよさそう。
詳しいことは知らないけれど。

pragma solidity ^0.4.18;

contract Quicksort {
    uint[] private storageInt;
    function getRandomIntArray(uint _num) private view returns(uint[]) {
        uint[] memory a = new uint[](_num);
        for(uint i=0; i<_num; i++){
            a[i] = uint(keccak256(now/2 + i)) % 10;
        }
        return a;
    }
    function getStorageInt() public view returns(uint[]) {
        return storageInt;
    }
    function Quicksort() public {
        uint num = 30;
        storageInt = getRandomIntArray(num);
    }
    function setRandomInt_StorageInt() public returns(uint[]) {
        uint num = 30;
        storageInt = getRandomIntArray(num);
        return storageInt;
    }
    function getCloneArray(uint[] a) private pure returns(uint[]) {
        return a;
    }
    function swap(uint[] a, uint l, uint r) private pure {
        uint t = a[l];
        a[l] = a[r];
        a[r] = t;
    }
    function getPivot(uint a, uint b, uint c) private pure returns(uint) {
        if(a > b){
            if(b > c){
                return b;
            }else{
                return a > c ? c : a ;
            }
        }else{
            if(a > c){
                return a;
            }else{
                return b > c ? c : b ;
            }
        }
    }
    function quicksort(uint[] a) private pure {
        uint left = 0;
        uint right = a.length - 1;
        quicksort_core(a, left, right);
    }
    function quicksort_core(uint[] a, uint left, uint right) private pure {
        if(right <= left){
            return;
        }
        uint l = left;
        uint r = right;
        uint p = getPivot(a[l], a[l+1], a[r]);
        while(true){
            while(a[l] < p){
                l++;
            }
            while(p < a[r]){
                r--;
            }
            if(r <= l){
                break;
            }
            swap(a, l, r);
            l++;
            r--;
        }
        quicksort_core(a, left, l-1);
        quicksort_core(a, r+1, right);
    }
    function getSortedArray() public view returns(uint[]) {
        uint[] memory a = getCloneArray(storageInt);
        quicksort(a);
        return a;
    }
    function sort_storageInt() public returns (uint[]) {
        uint[] memory a = getCloneArray(storageInt);
        quicksort(a);
        storageInt = a;
        return storageInt;
    }
}

pragma solidity ^0.4.18;

contract Quicksort {

uint[] private storageInt;

function getRandomIntArray(uint _num) private view returns(uint[]) {

uint[] memory a = new uint[](_num);

for(uint i=0; i<_num; i++){

a[i] = uint(keccak256(now/2 + i)) % 10;

}

return a;

}

function getStorageInt() public view returns(uint[]) {

return storageInt;

}

function Quicksort() public {

uint num = 30;

storageInt = getRandomIntArray(num);

}

function setRandomInt_StorageInt() public returns(uint[]) {

uint num = 30;

storageInt = getRandomIntArray(num);

return storageInt;

}

function getCloneArray(uint[] a) private pure returns(uint[]) {

return a;

}

function swap(uint[] a, uint l, uint r) private pure {

uint t = a[l];

a[l] = a[r];

a[r] = t;

}

function getPivot(uint a, uint b, uint c) private pure returns(uint) {

if(a > b){

if(b > c){

return b;

}else{

return a > c ? c : a ;

}

}else{

if(a > c){

return a;

}else{

return b > c ? c : b ;

}

function quicksort(uint[] a) private pure {

uint left = 0;

uint right = a.length - 1;

quicksort_core(a, left, right);

}

function quicksort_core(uint[] a, uint left, uint right) private pure {

if(right <= left){

return;

}

uint l = left;

uint r = right;

uint p = getPivot(a[l], a[l+1], a[r]);

while(true){

while(a[l] < p){

l++;

}

while(p < a[r]){

r--;

}

if(r <= l){

break;

}

swap(a, l, r);

l++;

r--;

}

quicksort_core(a, left, l-1);

quicksort_core(a, r+1, right);

}

function getSortedArray() public view returns(uint[]) {

uint[] memory a = getCloneArray(storageInt);

quicksort(a);

return a;

}

function sort_storageInt() public returns (uint[]) {

uint[] memory a = getCloneArray(storageInt);

quicksort(a);

storageInt = a;

return storageInt;

}

https://ethfiddle.com/7SYPK8FEVO

2018.02.05

仮想猫ゲームの全猫データ取得作戦

全猫データを一撃で取得する方法をgetCatAll関数に実装した。
一度に返却できる可変長配列の最大要素数は規定されているのだろうか。
誰かおしえて欲しい。

pragma solidity ^0.4.18;
contract MyContract {
  struct Cat {
    uint id;
    uint age;
    uint point;
  }
  Cat[] cats;
  function getCat(uint _id) public view returns(uint[]){
    uint[] memory retCat = new uint[](3);
    if(cats.length <= _id){
      return retCat;
    }
    Cat memory cat = cats[_id];
    retCat[0] = cat.id;
    retCat[1] = cat.age;
    retCat[2] = cat.point;
    return retCat;
  }
  function getCatAll() public view returns(uint[]){
    uint len = cats.length;
    uint[] memory data = new uint[](3*len);
    uint dataIdx = 0;
    for(uint i=0; i<len; i++){
      Cat memory cat = cats[i];
      data[dataIdx++] = cat.id;
      data[dataIdx++] = cat.age;
      data[dataIdx++] = cat.point;
    }
    return data;
  }
  function generateCat() public returns (uint[]){
    Cat memory cat;
    cat.id = cats.length;
    cat.age = cat.id + 1000;
    cat.point = cat.id + 100000;
    cats.push(cat);
    // for return
    uint[] memory catData = new uint[](3);
    catData[0] = cat.id;
    catData[1] = cat.age;
    catData[2] = cat.point;
    return catData;
  }
}

pragma solidity ^0.4.18;

contract MyContract {

struct Cat {

uint id;

uint age;

uint point;

}

Cat[] cats;

function getCat(uint _id) public view returns(uint[]){

uint[] memory retCat = new uint[](3);

if(cats.length <= _id){

return retCat;

}

Cat memory cat = cats[_id];

retCat[0] = cat.id;

retCat[1] = cat.age;

retCat[2] = cat.point;

return retCat;

}

function getCatAll() public view returns(uint[]){

uint len = cats.length;

uint[] memory data = new uint[](3*len);

uint dataIdx = 0;

for(uint i=0; i<len; i++){

Cat memory cat = cats[i];

data[dataIdx++] = cat.id;

data[dataIdx++] = cat.age;

data[dataIdx++] = cat.point;

}

return data;

}

function generateCat() public returns (uint[]){

Cat memory cat;

cat.id = cats.length;

cat.age = cat.id + 1000;

cat.point = cat.id + 100000;

cats.push(cat);

// for return

uint[] memory catData = new uint[](3);

catData[0] = cat.id;

catData[1] = cat.age;

catData[2] = cat.point;

return catData;

}

https://ethfiddle.com/Z-r9GPxQQ3

2018.01.29

solidityで2次元配列を1次元配列にして返却する

solidityは現状多次元配列を返却できない。stringの配列も2次元配列扱いだから返却できない。
どうにかして数値データだけでも一撃で取得できないものかと下記のコードを書いてみた。
データをuint256に限定とかすれば一応、一撃で取得できる？これ実用的なのかな。
まだよくわかっていないけれど、viewの関数はgasが一切かからないからこれはこれでいいかも知れない。

pragma solidity ^0.4.18;
contract returnTest {
    uint public catNum;
    mapping(uint=>uint[3]) public cat;
    function addCat() public{
        cat[catNum][0] = catNum + 1000;
        cat[catNum][1] = catNum + 2000;
        cat[catNum][2] = catNum + 3000;
        catNum++;
    }
    function getAllCat() public view returns(uint[]) {
        uint[] memory store = new uint[](catNum*3);
        uint cnt = 0;
        for(uint i=0; i<catNum; i++){
            store[cnt++] = cat[i][0];
            store[cnt++] = cat[i][1];
            store[cnt++] = cat[i][2];
        }
        return store;
    }
}

pragma solidity ^0.4.18;

contract returnTest {

uint public catNum;

mapping(uint=>uint[3]) public cat;

function addCat() public{

cat[catNum][0] = catNum + 1000;

cat[catNum][1] = catNum + 2000;

cat[catNum][2] = catNum + 3000;

catNum++;

}

function getAllCat() public view returns(uint[]) {

uint[] memory store = new uint[](catNum*3);

uint cnt = 0;

for(uint i=0; i<catNum; i++){

store[cnt++] = cat[i][0];

store[cnt++] = cat[i][1];

store[cnt++] = cat[i][2];

}

return store;

}

2018.01.24

solidityのgas消費量調査

例えばバブルソート実行時、
storage領域(メンバ変数的なとこ)を直接何回も書き換えるより、
memory領域で計算終わらせて最後にstorage領域にコピーした方がgasが安いことがわかった。

https://ethfiddle.com/Ge47VLSHtf

pragma solidity ^0.4.18;
contract SimpleStore {
  uint[] ary;
  function swap(uint[] a, uint l, uint r) private pure {
    uint t = a[l];
    a[l] = a[r];
    a[r] = t;
  }
  function getBubbleSortedAry(uint[] a) public pure returns(uint[]) {
    uint len = a.length;
    uint i;
    uint j;
    for(i=0; i<len-1; i++){
      for(j=i+1; j<len; j++){
        if(a[j] < a[i]){
          swap(a,i,j);
        }
      }
    }
    return a;
  }
  function test_getBubbleSortedAry() public view returns(uint[]){
    return getBubbleSortedAry(ary);
  }
  function bubbleSortIndirect2() public {
    uint[] memory clone = getBubbleSortedAry(ary);
    for(uint i=0; i<ary.length; i++){
      ary[i] = clone[i];
    }
  }
  function bubbleSortIndirect() public {
    uint len = ary.length;
    uint i;
    uint j;
    uint[] memory clone = new uint[](len);
    for(i=0; i<len; i++){
      clone[i] = ary[i];
    }
    for(i=0; i<len-1; i++){
      for(j=i+1; j<len; j++){
        if(clone[j]<clone[i]){
          swap(clone, i, j);
        }
      }
    }
    for(i=0; i<len; i++){
      ary[i] = clone[i];
    }
  }
  function bubbleSortDirect() public {
    uint len = ary.length;
    uint t;
    for(uint i=0; i<len-1; i++){
      for(uint j=i+1; j<len; j++){
        if(ary[j] < ary[i]){
          t = ary[i];
          ary[i] = ary[j];
          ary[j] = t;
        }
      }
    }
  }
  function getArray() public view returns (uint[]){
    return ary;
  }
  function setAryRandom5() public {
    uint length = 5;
    setAryReverse(length);
  }
  function setAryRandom8() public {
    uint length = 8;
    setAryReverse(length);
  }
  function setAryRandom10() public {
    uint length = 10;
    setAryReverse(length);
  }
  function setAryReverse(uint length) private {
    ary = new uint[](length);
    for(uint i=0; i<length; i++){
      ary[i] = length-1-i;
    }
  }
}

pragma solidity ^0.4.18;

contract SimpleStore {

uint[] ary;

function swap(uint[] a, uint l, uint r) private pure {

uint t = a[l];

a[l] = a[r];

a[r] = t;

}

function getBubbleSortedAry(uint[] a) public pure returns(uint[]) {

uint len = a.length;

uint i;

uint j;

for(i=0; i<len-1; i++){

for(j=i+1; j<len; j++){

if(a[j] < a[i]){

swap(a,i,j);

}

return a;

}

function test_getBubbleSortedAry() public view returns(uint[]){

return getBubbleSortedAry(ary);

}

function bubbleSortIndirect2() public {

uint[] memory clone = getBubbleSortedAry(ary);

for(uint i=0; i<ary.length; i++){

ary[i] = clone[i];

}

function bubbleSortIndirect() public {

uint len = ary.length;

uint i;

uint j;

uint[] memory clone = new uint[](len);

for(i=0; i<len; i++){

clone[i] = ary[i];

}

for(i=0; i<len-1; i++){

for(j=i+1; j<len; j++){

if(clone[j]<clone[i]){

swap(clone, i, j);

}

for(i=0; i<len; i++){

ary[i] = clone[i];

}

function bubbleSortDirect() public {

uint len = ary.length;

uint t;

for(uint i=0; i<len-1; i++){

for(uint j=i+1; j<len; j++){

if(ary[j] < ary[i]){

t = ary[i];

ary[i] = ary[j];

ary[j] = t;

}

function getArray() public view returns (uint[]){

return ary;

}

function setAryRandom5() public {

uint length = 5;

setAryReverse(length);

}

function setAryRandom8() public {

uint length = 8;

setAryReverse(length);

}

function setAryRandom10() public {

uint length = 10;

setAryReverse(length);

}

function setAryReverse(uint length) private {

ary = new uint[](length);

for(uint i=0; i<length; i++){

ary[i] = length-1-i;

}

2018.01.22

Solidityでクイックソート

//Write your own contracts here. Currently compiles using solc v0.4.15+commit.bbb8e64f.
pragma solidity ^0.4.18;
contract SimpleStore {
  function test() public pure returns (uint[]){
    uint[] memory a = new uint[](5);
    uint n = 5;
    for(uint i=0; i<a.length; i++){
      a[i] = n - i;
    }
    quicksort(a);
    return a;
  }
  function quicksort(uint[] a) public pure {
    uint left = 0;
    uint right = a.length-1;
    quicksort_core(a, left, right);
  }
  function quicksort_core(uint[] a, uint left, uint right) public pure {
    if(right <= left){
      return;
    }
    uint l = left;
    uint r = right;
    uint p = getPivot(a[l], a[l+1], a[r]);
    while(true){
        while(a[l] < p){
          l++;
        }
        while(p < a[r]){
          r--;
        }
        if(r<=l){
          break;
        }
        swap(a, l, r);
        l++;
        r--;
    }
    quicksort_core(a, left, l-1);
    quicksort_core(a, r+1, right);
  }
  function getA() public pure returns (uint[]) {
    uint[] memory a = new uint[](5);
    for(uint i=0; i<a.length; i++){
      a[i] = i;
    }
    swap(a, 0, 4);
    quicksort(a);
    return a;
  }
  function getPivot(uint a, uint b, uint c) public pure returns (uint){
    if(a > b){
      if(b > c){
        return b;
      }else{
        return a > c ? c : a ;
      }
    }else{
      if(a > c){
        return a;
      }else{
        return b > c ? c : b ;
      }
    }
  }
  function swap(uint[] a, uint l, uint r) public pure{
    uint t = a[l];
    a[l] = a[r];
    a[r] = t;
  }
  function increment(uint[] a) pure public {
    for(uint i=0; i<a.length; i++){
      a[i] = 1;
    }
  }
}

//Write your own contracts here. Currently compiles using solc v0.4.15+commit.bbb8e64f.

pragma solidity ^0.4.18;

contract SimpleStore {

function test() public pure returns (uint[]){

uint[] memory a = new uint[](5);

uint n = 5;

for(uint i=0; i<a.length; i++){

a[i] = n - i;

}

quicksort(a);

return a;

}

function quicksort(uint[] a) public pure {

uint left = 0;

uint right = a.length-1;

quicksort_core(a, left, right);

}

function quicksort_core(uint[] a, uint left, uint right) public pure {

if(right <= left){

return;

}

uint l = left;

uint r = right;

uint p = getPivot(a[l], a[l+1], a[r]);

while(true){

while(a[l] < p){

l++;

}

while(p < a[r]){

r--;

}

if(r<=l){

break;

}

swap(a, l, r);

l++;

r--;

}

quicksort_core(a, left, l-1);

quicksort_core(a, r+1, right);

}

function getA() public pure returns (uint[]) {

uint[] memory a = new uint[](5);

for(uint i=0; i<a.length; i++){

a[i] = i;

}

swap(a, 0, 4);

quicksort(a);

return a;

}

function getPivot(uint a, uint b, uint c) public pure returns (uint){

if(a > b){

if(b > c){

return b;

}else{

return a > c ? c : a ;

}

}else{

if(a > c){

return a;

}else{

return b > c ? c : b ;

}

function swap(uint[] a, uint l, uint r) public pure{

uint t = a[l];

a[l] = a[r];

a[r] = t;

}

function increment(uint[] a) pure public {

for(uint i=0; i<a.length; i++){

a[i] = 1;

}

1 23

Solidity

solidityで素数判定

solidityで平方根(整数、小数点以下切り捨て)を取得

[DApps]ゆずのは銀行(仮)

web3とpromiseの組み合わせやっとしっくり来た

32bit16進数の文字列をint[32]に変換

solidityでクイックソート

仮想猫ゲームの全猫データ取得作戦

solidityで2次元配列を1次元配列にして返却する

solidityのgas消費量調査

Solidityでクイックソート

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