Humble Numbers
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 24277 Accepted Submission(s): 10638
Problem Description A number whose only prime factors are 2,3,5 or 7 is called a humble number. The sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, ... shows the first 20 humble numbers.
Write a program to find and print the nth element in this sequence
Input The input consists of one or more test cases. Each test case consists of one integer n with 1 <= n <= 5842. Input is terminated by a value of zero (0) for n.
Output For each test case, print one line saying "The nth humble number is number.". Depending on the value of n, the correct suffix "st", "nd", "rd", or "th" for the ordinal number nth has to be used like it is shown in the sample output.
Sample Input
1
2
3
4
11
12
13
21
22
23
100
1000
5842
0
Sample Output
The 1st humble number is 1.
The 2nd humble number is 2.
The 3rd humble number is 3.
The 4th humble number is 4.
The 11th humble number is 12.
The 12th humble number is 14.
The 13th humble number is 15.
The 21st humble number is 28.
The 22nd humble number is 30.
The 23rd humble number is 32.
The 100th humble number is 450.
The 1000th humble number is 385875.
The 5842nd humble number is 2000000000.
Source [University of Ulm Local Contest 1996](http://acm.hdu.edu.cn/search.php?field=problem&key=University+of+Ulm+Local+Contest+1996&source=1&searchmode=source)
解析：DP。后面的humble number必然是前面某个humble number的2/3/5/7倍。状态转移方程为dp[n] = min{dp[i]*2, dp[j]*3, dp[k]*5, dp[m]*7}（n>i, j, k, m）。i、j、k、m在选中本项后往后移动。[HDU 3199 Hamming Problem](http://www.cnblogs.com/inmoonlight/p/6032692.html)是本题的升级版。
``` #include
int res[5850];
int min4(int a, int b, int c, int d)
{
int t1 = min(a, b);
int t2 = min(c, d);
return min(t1, t2);
}
void init()
{
res[1] = 1;
int f2 = 1, f3 = 1, f5 = 1, f7 = 1;
for(int i = 2; i <= 5842; ++i){
res[i] = min4(res[f2]2, res[f3]3, res[f5]5, res[f7]7);
if(res[i] == res[f2]2) ++f2;
if(res[i] == res[f3]3) ++f3;
if(res[i] == res[f5]5) ++f5;
if(res[i] == res[f7]7) ++f7;
}
}
int main()
{
init();
int n;
while(scanf("%d", &n), n){
if(n%10 == 1 && n%100 != 11)
printf("The %dst humble number is %d.
", n, res[n]);
else if(n%10 == 2 && n%100 != 12)
printf("The %dnd humble number is %d.
", n, res[n]);
else if(n%10 == 3 && n%100 != 13)
printf("The %drd humble number is %d.
", n, res[n]);
else
printf("The %dth humble number is %d.
", n, res[n]);
}
return 0;
}
<br>
也可以打表，暴力跑个几十秒就可以了。
include
int res[] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 27, 28, 30, 32, 35, 36, 40, 42, 45, 48, 49, 50, 54, 56, 60, 63, 64, 70, 72, 75, 80, 81, 84, 90, 96, 98, 100, 105, 108, 112, 120, 125, 126, 128, 135, 140, 144, 147, 150, 160, 162, 168, 175, 180, 189, 192, 196, 200, 210, 216, 224, 225, 240, 243, 245, 250, 252, 256, 270, 280, 288, 294, 300, 315, 320, 324, 336, 343, 350, 360, 375, 378, 384, 392, 400, 405, 420, 432, 441, 448, 450, 480, 486, 490, 500, 504, 512, 525, 540, 560, 567, 576, 588, 600, 625, 630, 640, 648, 672, 675, 686, 700, 720, 729, 735, 750, 756, 768, 784, 800, 810, 840, 864, 875, 882, 896, 900, 945, 960, 972, 980, 1000, 1008, 1024, 1029, 1050, 1080, 1120, 1125, 1134, 1152, 1176, 1200, 1215, 1225, 1250, 1260, 1280, 1296, 1323, 1344, 1350, 1372, 1400, 1440, 1458, 1470, 1500, 1512, 1536, 1568, 1575, 1600, 1620, 1680, 1701, 1715, 1728, 1750, 1764, 1792, 1800, 1875, 1890, 1920, 1944, 1960, 2000, 2016, 2025, 2048, 2058, 2100, 2160, 2187, 2205, 2240, 2250, 2268, 2304, 2352, 2400, 2401, 2430, 2450, 2500, 2520, 2560, 2592, 2625, 2646, 2688, 2700, 2744, 2800, 2835, 2880, 2916, 2940, 3000, 3024, 3072, 3087, 3125, 3136, 3150, 3200, 3240, 3360, 3375, 3402, 3430, 3456, 3500, 3528, 3584, 3600, 3645, 3675, 3750, 3780, 3840, 3888, 3920, 3969, 4000, 4032, 4050, 4096, 4116, 4200, 4320, 4374, 4375, 4410, 4480, 4500, 4536, 4608, 4704, 4725, 4800, 4802, 4860, 4900, 5000, 5040, 5103, 5120, 5145, 5184, 5250, 5292, 5376, 5400, 5488, 5600, 5625, 5670, 5760, 5832, 5880, 6000, 6048, 6075, 6125, 6144, 6174, 6250, 6272, 6300, 6400, 6480, 6561, 6615, 6720, 6750, 6804, 6860, 6912, 7000, 7056, 7168, 7200, 7203, 7290, 7350, 7500, 7560, 7680, 7776, 7840, 7875, 7938, 8000, 8064, 8100, 8192, 8232, 8400, 8505, 8575, 8640, 8748, 8750, 8820, 8960, 9000, 9072, 9216, 9261, 9375, 9408, 9450, 9600, 9604, 9720, 9800, 10000, 10080, 10125, 10206, 10240, 10290, 10368, 10500, 10584, 10752, 10800, 10935, 10976, 11025, 11200, 11250, 11340, 11520, 11664, 11760, 11907, 12000, 12005, 12096, 12150, 12250, 12288, 12348, 12500, 12544, 12600, 12800, 12960, 13122, 13125, 13230, 13440, 13500, 13608, 13720, 13824, 14000, 14112, 14175, 14336, 14400, 14406, 14580, 14700, 15000, 15120, 15309, 15360, 15435, 15552, 15625, 15680, 15750, 15876, 16000, 16128, 16200, 16384, 16464, 16800, 16807, 16875, 17010, 17150, 17280, 17496, 17500, 17640, 17920, 18000, 18144, 18225, 18375, 18432, 18522, 18750, 18816, 18900, 19200, 19208, 19440, 19600, 19683, 19845, 20000, 20160, 20250, 20412, 20480, 20580, 20736, 21000, 21168, 21504, 21600, 21609, 21870, 21875, 21952, 22050, 22400, 22500, 22680, 23040, 23328, 23520, 23625, 23814, 24000, 24010, 24192, 24300, 24500, 24576, 24696, 25000, 25088, 25200, 25515, 25600, 25725, 25920, 26244, 26250, 26460, 26880, 27000, 27216, 27440, 27648, 27783, 28000, 28125, 28224, 28350, 28672, 28800, 28812, 29160, 29400, 30000, 30240, 30375, 30618, 30625, 30720, 30870, 31104, 31250, 31360, 31500, 31752, 32000, 32256, 32400, 32768, 32805, 32928, 33075, 33600, 33614, 33750, 34020, 34300, 34560, 34992, 35000, 35280, 35721, 35840, 36000, 36015, 36288, 36450, 36750, 36864, 37044, 37500, 37632, 37800, 38400, 38416, 38880, 39200, 39366, 39375, 39690, 40000, 40320, 40500, 40824, 40960, 41160, 41472, 42000, 42336, 42525, 42875, 43008, 43200, 43218, 43740, 43750, 43904, 44100, 44800, 45000, 45360, 45927, 46080, 46305, 46656, 46875, 47040, 47250, 47628, 48000, 48020, 48384, 48600, 49000, 49152, 49392, 50000, 50176, 50400, 50421, 50625, 51030, 51200, 51450, 51840, 52488, 52500, 52920, 53760, 54000, 54432, 54675, 54880, 55125, 55296, 55566, 56000, 56250, 56448, 56700, 57344, 57600, 57624, 58320, 58800, 59049, 59535, 60000, 60025, 60480, 60750, 61236, 61250, 61440, 61740, 62208, 62500, 62720, 63000, 63504, 64000, 64512, 64800, 64827, 65536, 65610, 65625, 65856, 66150, 67200, 67228, 67500, 68040, 68600, 69120, 69984, 70000, 70560, 70875, 71442, 71680, 72000, 72030, 72576, 72900, 73500, 73728, 74088, 75000, 75264, 75600, 76545, 76800, 76832, 77175, 77760, 78125, 78400, 78732, 78750, 79380, 80000, 80640, 81000, 81648, 81920, 82320, 82944, 83349, 84000, 84035, 84375, 84672, 85050, 85750, 86016, 86400, 86436, 87480, 87500, 87808, 88200, 89600, 90000, 90720, 91125, 91854, 91875, 92160, 92610, 93312, 93750, 94080, 94500, 95256, 96000, 96040, 96768, 97200, 98000, 98304, 98415, 98784, 99225, 100000, 100352, 100800, 100842, 101250, 102060, 102400, 102900, 103680, 104976, 105000, 105840, 107163, 107520, 108000, 108045, 108864, 109350, 109375, 109760, 110250, 110592, 111132, 112000, 112500, 112896, 113400, 114688, 115200, 115248, 116640, 117600, 117649, 118098, 118125, 119070, 120000, 120050, 120960, 121500, 122472, 122500, 122880, 123480, 124416, 125000, 125440, 126000, 127008, 127575, 128000, 128625, 129024, 129600, 129654, 131072, 131220, 131250, 131712, 132300, 134400, 134456, 135000, 136080, 137200, 137781, 138240, 138915, 139968, 140000, 140625, 141120, 141750, 142884, 143360, 144000, 144060, 145152, 145800, 147000, 147456, 148176, 150000, 150528, 151200, 151263, 151875, 153090, 153125, 153600, 153664, 154350, 155520, 156250, 156800, 157464, 157500, 158760, 160000, 161280, 162000, 163296, 163840, 164025, 164640, 165375, 165888, 166698, 168000, 168070, 168750, 169344, 170100, 171500, 172032, 172800, 172872, 174960, 175000, 175616, 176400, 177147, 178605, 179200, 180000, 180075, 181440, 182250, 183708, 183750, 184320, 185220, 186624, 187500, 188160, 189000, 190512, 192000, 192080, 193536, 194400, 194481, 196000, 196608, 196830, 196875, 197568, 198450, 200000, 200704, 201600, 201684, 202500, 204120, 204800, 205800, 207360, 209952, 210000, 211680, 212625, 214326, 214375, 215040, 216000, 216090, 217728, 218700, 218750, 219520, 220500, 221184, 222264, 224000, 225000, 225792, 226800, 229376, 229635, 230400, 230496, 231525, 233280, 234375, 235200, 235298, 236196, 236250, 238140, 240000, 240100, 241920, 243000, 244944, 245000, 245760, 246960, 248832, 250000, 250047, 250880, 252000, 252105, 253125, 254016, 255150, 256000, 257250, 258048, 259200, 259308, 262144, 262440, 262500, 263424, 264600, 268800, 268912, 270000, 272160, 273375, 274400, 275562, 275625, 276480, 277830, 279936, 280000, 281250, 282240, 283500, 285768, 286720, 288000, 288120, 290304, 291600, 294000, 294912, 295245, 296352, 297675, 300000, 300125, 301056, 302400, 302526, 303750, 306180, 306250, 307200, 307328, 308700, 311040, 312500, 313600, 314928, 315000, 317520, 320000, 321489, 322560, 324000, 324135, 326592, 327680, 328050, 328125, 329280, 330750, 331776, 333396, 336000, 336140, 337500, 338688, 340200, 343000, 344064, 345600, 345744, 349920, 350000, 351232, 352800, 352947, 354294, 354375, 357210, 358400, 360000, 360150, 362880, 364500, 367416, 367500, 368640, 370440, 373248, 375000, 376320, 378000, 381024, 382725, 384000, 384160, 385875, 387072, 388800, 388962, 390625, 392000, 393216, 393660, 393750, 395136, 396900, 400000, 401408, 403200, 403368, 405000, 408240, 409600, 411600, 413343, 414720, 416745, 419904, 420000, 420175, 421875, 423360, 425250, 428652, 428750, 430080, 432000, 432180, 435456, 437400, 437500, 439040, 441000, 442368, 444528, 448000, 450000, 451584, 453600, 453789, 455625, 458752, 459270, 459375, 460800, 460992, 463050, 466560, 468750, 470400, 470596, 472392, 472500, 476280, 480000, 480200, 483840, 486000, 489888, 490000, 491520, 492075, 493920, 496125, 497664, 500000, 500094, 501760, 504000, 504210, 506250, 508032, 510300, 512000, 514500, 516096, 518400, 518616, 524288, 524880, 525000, 526848, 529200, 531441, 535815, 537600, 537824, 540000, 540225, 544320, 546750, 546875, 548800, 551124, 551250, 552960, 555660, 559872, 560000, 562500, 564480, 567000, 571536, 573440, 576000, 576240, 580608, 583200, 583443, 588000, 588245, 589824, 590490, 590625, 592704, 595350, 600000, 600250, 602112, 604800, 605052, 607500, 612360, 612500, 614400, 614656, 617400, 622080, 625000, 627200, 629856, 630000, 635040, 637875, 640000, 642978, 643125, 645120, 648000, 648270, 653184, 655360, 656100, 656250, 658560, 661500, 663552, 666792, 672000, 672280, 675000, 677376, 680400, 686000, 688128, 688905, 691200, 691488, 694575, 699840, 700000, 702464, 703125, 705600, 705894, 708588, 708750, 714420, 716800, 720000, 720300, 725760, 729000, 734832, 735000, 737280, 740880, 746496, 750000, 750141, 752640, 756000, 756315, 759375, 762048, 765450, 765625, 768000, 768320, 771750, 774144, 777600, 777924, 781250, 784000, 786432, 787320, 787500, 790272, 793800, 800000, 802816, 806400, 806736, 810000, 816480, 819200, 820125, 823200, 823543, 826686, 826875, 829440, 833490, 839808, 840000, 840350, 843750, 846720, 850500, 857304, 857500, 860160, 864000, 864360, 870912, 874800, 875000, 878080, 882000, 884736, 885735, 889056, 893025, 896000, 900000, 900375, 903168, 907200, 907578, 911250, 917504, 918540, 918750, 921600, 921984, 926100, 933120, 937500, 940800, 941192, 944784, 945000, 952560, 960000, 960400, 964467, 967680, 972000, 972405, 979776, 980000, 983040, 984150, 984375, 987840, 992250, 995328, 1000000, 1000188, 1003520, 1008000, 1008420, 1012500, 1016064, 1020600, 1024000, 1029000, 1032192, 1036800, 1037232, 1048576, 1049760, 1050000, 1053696, 1058400, 1058841, 1062882, 1063125, 1071630, 1071875, 1075200, 1075648, 1080000, 1080450, 1088640, 1093500, 1093750, 1097600, 1102248, 1102500, 1105920, 1111320, 1119744, 1120000, 1125000, 1128960, 1134000, 1143072, 1146880, 1148175, 1152000, 1152480, 1157625, 1161216, 1166400, 1166886, 1171875, 1176000, 1176490, 1179648, 1180980, 1181250, 1185408, 1190700, 1200000, 1200500, 1204224, 1209600, 1210104, 1215000, 1224720, 1225000, 1228800, 1229312, 1234800, 1240029, 1244160, 1250000, 1250235, 1254400, 1259712, 1260000, 1260525, 1265625, 1270080, 1275750, 1280000, 1285956, 1286250, 1290240, 1296000, 1296540, 1306368, 1310720, 1312200, 1312500, 1317120, 1323000, 1327104, 1333584, 1344000, 1344560, 1350000, 1354752, 1360800, 1361367, 1366875, 1372000, 1376256, 1377810, 1378125, 1382400, 1382976, 1389150, 1399680, 1400000, 1404928, 1406250, 1411200, 1411788, 1417176, 1417500, 1428840, 1433600, 1440000, 1440600, 1451520, 1458000, 1469664, 1470000, 1474560, 1476225, 1481760, 1488375, 1492992, 1500000, 1500282, 1500625, 1505280, 1512000, 1512630, 1518750, 1524096, 1530900, 1531250, 1536000, 1536640, 1543500, 1548288, 1555200, 1555848, 1562500, 1568000, 1572864, 1574640, 1575000, 1580544, 1587600, 1594323, 1600000, 1605632, 1607445, 1612800, 1613472, 1620000, 1620675, 1632960, 1638400, 1640250, 1640625, 1646400, 1647086, 1653372, 1653750, 1658880, 1666980, 1679616, 1680000, 1680700, 1687500, 1693440, 1701000, 1714608, 1715000, 1720320, 1728000, 1728720, 1741824, 1749600, 1750000, 1750329, 1756160, 1764000, 1764735, 1769472, 1771470, 1771875, 1778112, 1786050, 1792000, 1800000, 1800750, 1806336, 1814400, 1815156, 1822500, 1835008, 1837080, 1837500, 1843200, 1843968, 1852200, 1866240, 1875000, 1881600, 1882384, 1889568, 1890000, 1905120, 1913625, 1920000, 1920800, 1928934, 1929375, 1935360, 1944000, 1944810, 1953125, 1959552, 1960000, 1966080, 1968300, 1968750, 1975680, 1984500, 1990656, 2000000, 2000376, 2007040, 2016000, 2016840, 2025000, 2032128, 2041200, 2048000, 2058000, 2064384, 2066715, 2073600, 2074464, 2083725, 2097152, 2099520, 2100000, 2100875, 2107392, 2109375, 2116800, 2117682, 2125764, 2126250, 2143260, 2143750, 2150400, 2151296, 2160000, 2160900, 2177280, 2187000, 2187500, 2195200, 2204496, 2205000, 2211840, 2222640, 2239488, 2240000, 2250000, 2250423, 2257920, 2268000, 2268945, 2278125, 2286144, 2293760, 2296350, 2296875, 2304000, 2304960, 2315250, 2322432, 2332800, 2333772, 2343750, 2352000, 2352980, 2359296, 2361960, 2362500, 2370816, 2381400, 2400000, 2401000, 2408448, 2419200, 2420208, 2430000, 2449440, 2450000, 2457600, 2458624, 2460375, 2469600, 2470629, 2480058, 2480625, 2488320, 2500000, 2500470, 2508800, 2519424, 2520000, 2521050, 2531250, 2540160, 2551500, 2560000, 2571912, 2572500, 2580480, 2592000, 2593080, 2612736, 2621440, 2624400, 2625000, 2634240, 2646000, 2654208, 2657205, 2667168, 2679075, 2688000, 2689120, 2700000, 2701125, 2709504, 2721600, 2722734, 2733750, 2734375, 2744000, 2752512, 2755620, 2756250, 2764800, 2765952, 2778300, 2799360, 2800000, 2809856, 2812500, 2822400, 2823576, 2834352, 2835000, 2857680, 2867200, 2880000, 2881200, 2893401, 2903040, 2916000, 2917215, 2939328, 2940000, 2941225, 2949120, 2952450, 2953125, 2963520, 2976750, 2985984, 3000000, 3000564, 3001250, 3010560, 3024000, 3025260, 3037500, 3048192, 3061800, 3062500, 3072000, 3073280, 3087000, 3096576, 3110400, 3111696, 3125000, 3136000, 3145728, 3149280, 3150000, 3161088, 3175200, 3176523, 3188646, 3189375, 3200000, 3211264, 3214890, 3215625, 3225600, 3226944, 3240000, 3241350, 3265920, 3276800, 3280500, 3281250, 3292800, 3294172, 3306744, 3307500, 3317760, 3333960, 3359232, 3360000, 3361400, 3375000, 3386880, 3402000, 3429216, 3430000, 3440640, 3444525, 3456000, 3457440, 3472875, 3483648, 3499200, 3500000, 3500658, 3512320, 3515625, 3528000, 3529470, 3538944, 3542940, 3543750, 3556224, 3572100, 3584000, 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992023200, 992250000, 992436543, 995328000, 995742720, 996451875, 1000000000, 1000188000, 1000604745, 1003290624, 1003520000, 1004423490, 1004653125, 1006632960, 1007769600, 1008000000, 1008189504, 1008420000, 1008840175, 1011548160, 1012500000, 1012690350, 1012921875, 1016064000, 1016487360, 1019215872, 1020366720, 1020600000, 1021025250, 1024000000, 1024192512, 1025156250, 1025390625, 1027604480, 1028764800, 1029000000, 1029193452, 1029428750, 1032192000, 1032622080, 1033121304, 1033357500, 1033593750, 1036800000, 1037232000, 1037664180, 1040449536, 1041624360, 1041862500, 1045094400, 1045529856, 1048576000, 1049760000, 1050000000, 1050197400, 1050437500, 1053696000, 1054135040, 1054687500, 1056964608, 1058158080, 1058400000, 1058841000, 1061683200, 1062125568, 1062882000, 1063125000, 1066867200, 1067311728, 1071385056, 1071630000, 1071875000, 1073741824, 1074954240, 1075200000, 1075648000, 1076168025, 1078984704, 1080000000, 1080203040, 1080450000, 1083801600, 1084253184, 1085025375, 1088391168, 1088640000, 1089093600, 1089547389, 1093500000, 1093705578, 1093750000, 1093955625, 1097349120, 1097600000, 1101004800, 1101463552, 1102248000, 1102500000, 1102707270, 1102959375, 1105920000, 1106380800, 1106841792, 1107168750, 1107421875, 1111065984, 1111320000, 1111783050, 1114767360, 1116026100, 1116281250, 1119744000, 1120000000, 1120210560, 1123942400, 1125000000, 1125211500, 1125468750, 1128701952, 1128960000, 1129430400, 1129900996, 1132462080, 1133740800, 1134000000, 1134213192, 1134472500, 1137991680, 1139062500, 1143072000, 1143548280, 1146617856, 1146880000, 1147912560, 1148175000, 1148437500, 1152000000, 1152216576, 1152480000, 1152960200, 1156055040, 1157360400, 1157625000, 1161216000, 1161699840, 1162261467, 1166400000, 1166886000, 1170505728, 1171827405, 1171875000, 1174405120, 1175731200, 1176000000, 1176221088, 1176490000, 1179648000, 1180139520, 1180980000, 1181250000, 1181472075, 1185408000, 1185901920, 1189085184, 1190427840, 1190700000, 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1555848000, 1556496270, 1560674304, 1562436540, 1562500000, 1562793750, 1567641600, 1568000000, 1568294784, 1572864000, 1573519360, 1574640000, 1575000000, 1575296100, 1575656250, 1580544000, 1581202560, 1582031250, 1585446912, 1587237120, 1587600000, 1588261500, 1592524800, 1593188352, 1594323000, 1594687500, 1600000000, 1600300800, 1600967592, 1605632000, 1607077584, 1607445000, 1607812500, 1610612736, 1612431360, 1612800000, 1613472000, 1614144280, 1618477056, 1620000000, 1620304560, 1620675000, 1625702400, 1626379776, 1632586752, 1632960000, 1633640400, 1638400000, 1640250000, 1640558367, 1640625000, 1644167168, 1646023680, 1646400000, 1647086000, 1651507200, 1652195328, 1653372000, 1653750000, 1654060905, 1658880000, 1659571200, 1660262688, 1660753125, 1666598976, 1666980000, 1667674575, 1672151040, 1674039150, 1674421875, 1677721600, 1679616000, 1680000000, 1680315840, 1680700000, 1685913600, 1686616064, 1687500000, 1687817250, 1688203125, 1693052928, 1693440000, 1694145600, 1694851494, 1698693120, 1700611200, 1701000000, 1701319788, 1701708750, 1706987520, 1708593750, 1708984375, 1714608000, 1715000000, 1715322420, 1719926784, 1720320000, 1721036800, 1721868840, 1722262500, 1722656250, 1728000000, 1728324864, 1728720000, 1729440300, 1734082560, 1736040600, 1736437500, 1741824000, 1742549760, 1749600000, 1750000000, 1750329000, 1755758592, 1756160000, 1757812500, 1761607680, 1763596800, 1764000000, 1764331632, 1764735000, 1769472000, 1770209280, 1771470000, 1771875000, 1778112000, 1778852880, 1783627776, 1785641760, 1786050000, 1791590400, 1792000000, 1792336896, 1793613375, 1798307840, 1800000000, 1800338400, 1800750000, 1801088541, 1806336000, 1807088640, 1807962282, 1808375625, 1811939328, 1813985280, 1814400000, 1815156000, 1815912315, 1820786688, 1822500000, 1822842630, 1823259375, 1828915200, 1829677248, 1835008000, 1836660096, 1837080000, 1837500000, 1837845450, 1838265625, 1843200000, 1843968000, 1844736320, 1845281250, 1845703125, 1849688064, 1851776640, 1852200000, 1852971750, 1857945600, 1858719744, 1860043500, 1860468750, 1866240000, 1867017600, 1867795524, 1874923848, 1875000000, 1875352500, 1875781250, 1879048192, 1881169920, 1881600000, 1882384000, 1887436800, 1888223232, 1889568000, 1890000000, 1890355320, 1890787500, 1896652800, 1897443072, 1898437500, 1904684544, 1905120000, 1905913800, 1911029760, 1913187600, 1913625000, 1914062500, 1920000000, 1920360960, 1920800000, 1926758400, 1927561216, 1928934000, 1929375000, 1934917632, 1935360000, 1936166400, 1936973136, 1937102445, 1944000000, 1944365472, 1944810000, 1950842880, 1953045675, 1953125000, 1959552000, 1960000000, 1960368480, 1966080000, 1966899200, 1968300000, 1968750000, 1969120125, 1975228416, 1975680000, 1976503200, 1977326743, 1981808640, 1984046400, 1984500000, 1984873086, 1985326875, 1990656000, 1991485440, 1992903750, 1993359375, 2000000000};
int main()
{
init();
int n;
while(scanf("%d", &n), n){
if(n%10 == 1 && n%100 != 11)
printf("The %dst humble number is %d.
", n, res[n]);
else if(n%10 == 2 && n%100 != 12)
printf("The %dnd humble number is %d.
", n, res[n]);
else if(n%10 == 3 && n%100 != 13)
printf("The %drd humble number is %d.
", n, res[n]);
else
printf("The %dth humble number is %d.
", n, res[n]);
}
return 0;
}