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,