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#include <iostream>
#include <vector>
#include <string>
using namespace std;
int licznik=0;
const int liczbaPierwszych = 3440;

int pierwsze[liczbaPierwszych] = {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};

string licz(int k){
    if(k==1){
        licznik++;
        return "1";
    }
    vector <int> rozklad;
    int originalK = k;
    for(int i=0 ; i < liczbaPierwszych-1 ; i++){
        if(pierwsze[i]>k){
            break;
        }
        if(k%pierwsze[i]==0){
            rozklad.push_back(pierwsze[i]);
            k = k/pierwsze[i];
            i=-1;
        }
    }
    k=originalK;
    if(rozklad.size()==1 || rozklad.size()==0){
        licznik++;
        return "1+"+licz(k-1);
    }
    string s = "";
    for(int i=0 ; i<rozklad.size() ; i++){
        if(i==0){
            s+="("+licz(rozklad[i])+")";
        }
        else{
            s+="*("+licz(rozklad[i])+")";
        }
    }
    return s;
}

int main(){
    ios_base::sync_with_stdio(false);
    int t,k;
    cin >> t;
    for(int o=0 ; o< t  ; o++){
        cin >> k;
        licznik =0;
        string odp =licz(k);
        if(licznik>100){
            cout << "NIE\n";
        }
        else{
            cout << odp << "\n";
        }
    }
}