专栏首页CSDN旧文数学--数论--hdu 5878 I Count Two Three(二分)

数学--数论--hdu 5878 I Count Two Three(二分)

I will show you the most popular board game in the Shanghai Ingress Resistance Team. It all started several months ago. We found out the home address of the enlightened agent Icount2three and decided to draw him out. Millions of missiles were detonated, but some of them failed.

After the event, we analysed the laws of failed attacks. It’s interesting that the i-th attacks failed if and only if i can be rewritten as the form of 2a3b5c7d which a,b,c,d are non-negative integers.

At recent dinner parties, we call the integers with the form 2a3b5c7d “I Count Two Three Numbers”. A related board game with a given positive integer n from one agent, asks all participants the smallest “I Count Two Three Number” no smaller than n. Input The first line of input contains an integer t (1≤t≤500000), the number of test cases. t test cases follow. Each test case provides one integer n (1≤n≤109). Output For each test case, output one line with only one integer corresponding to the shortest “I Count Two Three Number” no smaller than n. Sample Input 10 1 11 13 123 1234 12345 123456 1234567 12345678 123456789 Sample Output 1 12 14 125 1250 12348 123480 1234800 12348000 123480000

这个题我实在没想到怎么做,然后就暴力用python写的代码打了个表。

#include<cstdio>
#include<iostream>
#include<cstring>
#include<algorithm>
using namespace std;
 
long long a[10000]={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,
3515625,3528000,3529470,3538944,3542940,3543750,3556224,3572100,3584000,3600000,
3601500,3612672,3628800,3630312,3645000,3670016,3674160,3675000,3686400,3687936,
3704400,3720087,3732480,3750000,3750705,3763200,3764768,3779136,3780000,3781575,
3796875,3810240,3827250,3828125,3840000,3841600,3857868,3858750,3870720,3888000,
3889620,3906250,3919104,3920000,3932160,3936600,3937500,3951360,3969000,3981312,
4000000,4000752,4014080,4032000,4033680,4050000,4064256,4082400,4084101,4096000,
4100625,4116000,4117715,4128768,4133430,4134375,4147200,4148928,4167450,4194304,
4199040,4200000,4201750,4214784,4218750,4233600,4235364,4251528,4252500,4286520,
4287500,4300800,4302592,4320000,4321800,4354560,4374000,4375000,4390400,4408992,
4410000,4423680,4428675,4445280,4465125,4478976,4480000,4500000,4500846,4501875,
4515840,4536000,4537890,4556250,4572288,4587520,4592700,4593750,4608000,4609920,
4630500,4644864,4665600,4667544,4687500,4704000,4705960,4718592,4723920,4725000,
4741632,4762800,4782969,4800000,4802000,4816896,4822335,4838400,4840416,4860000,
4862025,4898880,4900000,4915200,4917248,4920750,4921875,4939200,4941258,4960116,
4961250,4976640,5000000,5000940,5017600,5038848,5040000,5042100,5062500,5080320,
5103000,5120000,5143824,5145000,5160960,5184000,5186160,5225472,5242880,5248800,
5250000,5250987,5268480,5292000,5294205,5308416,5314410,5315625,5334336,5358150,
5359375,5376000,5378240,5400000,5402250,5419008,5443200,5445468,5467500,5468750,
5488000,5505024,5511240,5512500,5529600,5531904,5556600,5598720,5600000,5619712,
5625000,5644800,5647152,5668704,5670000,5715360,5734400,5740875,5760000,5762400,
5764801,5786802,5788125,5806080,5832000,5834430,5859375,5878656,5880000,5882450,
5898240,5904900,5906250,5927040,5953500,5971968,6000000,6001128,6002500,6021120,
6048000,6050520,6075000,6096384,6123600,6125000,6144000,6146560,6174000,6193152,
6200145,6220800,6223392,6250000,6251175,6272000,6291456,6298560,6300000,6302625,
6322176,6328125,6350400,6353046,6377292,6378750,6400000,6422528,6429780,6431250,
6451200,6453888,6480000,6482700,6531840,6553600,6561000,6562500,6585600,6588344,
6613488,6615000,6635520,6667920,6718464,6720000,6722800,6750000,6751269,6773760,
6804000,6806835,6834375,6858432,6860000,6881280,6889050,6890625,6912000,6914880,
6945750,6967296,6998400,7000000,7001316,7024640,7031250,7056000,7058940,7077888,
7085880,7087500,7112448,7144200,7168000,7200000,7203000,7225344,7257600,7260624,
7290000,7340032,7348320,7350000,7372800,7375872,7381125,7408800,7411887,7440174,
7441875,7464960,7500000,7501410,7503125,7526400,7529536,7558272,7560000,7563150,
7593750,7620480,7654500,7656250,7680000,7683200,7715736,7717500,7741440,7776000,
7779240,7812500,7838208,7840000,7864320,7873200,7875000,7902720,7938000,7962624,
7971615,8000000,8001504,8028160,8037225,8064000,8067360,8100000,8103375,8128512,
8164800,8168202,8192000,8201250,8203125,8232000,8235430,8257536,8266860,8268750,
8294400,8297856,8334900,8388608,8398080,8400000,8403500,8429568,8437500,8467200,
8470728,8503056,8505000,8573040,8575000,8601600,8605184,8640000,8643600,8680203,
8709120,8748000,8750000,8751645,8780800,8817984,8820000,8823675,8847360,8857350,
8859375,8890560,8930250,8957952,8960000,9000000,9001692,9003750,9031680,9072000,
9075780,9112500,9144576,9175040,9185400,9187500,9216000,9219840,9261000,9289728,
9331200,9335088,9375000,9408000,9411920,9437184,9447840,9450000,9483264,9525600,
9529569,9565938,9568125,9600000,9604000,9633792,9644670,9646875,9676800,9680832,
9720000,9724050,9765625,9797760,9800000,9830400,9834496,9841500,9843750,9878400,
9882516,9920232,9922500,9953280,10000000,10001880,10035200,10077696,10080000,10084200,
10125000,10160640,10206000,10240000,10287648,10290000,10321920,10333575,10368000,10372320,
10418625,10450944,10485760,10497600,10500000,10501974,10504375,10536960,10546875,10584000,
10588410,10616832,10628820,10631250,10668672,10716300,10718750,10752000,10756480,10800000,
10804500,10838016,10886400,10890936,10935000,10937500,10976000,11010048,11022480,11025000,
11059200,11063808,11113200,11160261,11197440,11200000,11239424,11250000,11252115,11289600,
11294304,11337408,11340000,11344725,11390625,11430720,11468800,11481750,11484375,11520000,
11524800,11529602,11573604,11576250,11612160,11664000,11668860,11718750,11757312,11760000,
11764900,11796480,11809800,11812500,11854080,11907000,11943936,12000000,12002256,12005000,
12042240,12096000,12101040,12150000,12192768,12247200,12250000,12252303,12288000,12293120,
12301875,12348000,12353145,12386304,12400290,12403125,12441600,12446784,12500000,12502350,
12544000,12582912,12597120,12600000,12605250,12644352,12656250,12700800,12706092,12754584,
12757500,12800000,12845056,12859560,12862500,12902400,12907776,12960000,12965400,13063680,
13107200,13122000,13125000,13171200,13176688,13226976,13230000,13271040,13286025,13335840,
13395375,13436928,13440000,13445600,13500000,13502538,13505625,13547520,13608000,13613670,
13668750,13671875,13716864,13720000,13762560,13778100,13781250,13824000,13829760,13891500,
13934592,13996800,14000000,14002632,14049280,14062500,14112000,14117880,14155776,14171760,
14175000,14224896,14288400,14336000,14348907,14400000,14406000,14450688,14467005,14515200,
14521248,14580000,14586075,14680064,14696640,14700000,14706125,14745600,14751744,14762250,
14765625,14817600,14823774,14880348,14883750,14929920,15000000,15002820,15006250,15052800,
15059072,15116544,15120000,15126300,15187500,15240960,15309000,15312500,15360000,15366400,
15431472,15435000,15482880,15552000,15558480,15625000,15676416,15680000,15728640,15746400,
15750000,15752961,15805440,15876000,15882615,15925248,15943230,15946875,16000000,16003008,
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16384000,16402500,16406250,16464000,16470860,16515072,16533720,16537500,16588800,16595712,
16669800,16777216,16796160,16800000,16807000,16859136,16875000,16934400,16941456,17006112,
17010000,17146080,17150000,17203200,17210368,17222625,17280000,17287200,17294403,17360406,
17364375,17418240,17496000,17500000,17503290,17561600,17578125,17635968,17640000,17647350,
17694720,17714700,17718750,17781120,17860500,17915904,17920000,18000000,18003384,18007500,
18063360,18144000,18151560,18225000,18289152,18350080,18370800,18375000,18432000,18439680,
18522000,18579456,18600435,18662400,18670176,18750000,18753525,18816000,18823840,18874368,
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19906560,20000000,20003760,20070400,20155392,20160000,20168400,20250000,20253807,20321280,
20412000,20420505,20480000,20503125,20575296,20580000,20588575,20643840,20667150,20671875,
20736000,20744640,20837250,20901888,20971520,20995200,21000000,21003948,21008750,21073920,
21093750,21168000,21176820,21233664,21257640,21262500,21337344,21432600,21437500,21504000,
21512960,21600000,21609000,21676032,21772800,21781872,21870000,21875000,21952000,22020096,
22044960,22050000,22118400,22127616,22143375,22226400,22235661,22320522,22325625,22394880,
22400000,22478848,22500000,22504230,22509375,22579200,22588608,22674816,22680000,22689450,
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23224320,23328000,23337720,23437500,23514624,23520000,23529800,23592960,23619600,23625000,
23708160,23814000,23887872,23914845,24000000,24004512,24010000,24084480,24111675,24192000,
24202080,24300000,24310125,24385536,24494400,24500000,24504606,24576000,24586240,24603750,
24609375,24696000,24706290,24772608,24800580,24806250,24883200,24893568,25000000,25004700,
25088000,25165824,25194240,25200000,25210500,25288704,25312500,25401600,25412184,25509168,
25515000,25600000,25690112,25719120,25725000,25804800,25815552,25920000,25930800,26040609,
26127360,26214400,26244000,26250000,26254935,26342400,26353376,26453952,26460000,26471025,
26542080,26572050,26578125,26671680,26790750,26796875,26873856,26880000,26891200,27000000,
27005076,27011250,27095040,27216000,27227340,27337500,27343750,27433728,27440000,27525120,
27556200,27562500,27648000,27659520,27783000,27869184,27993600,28000000,28005264,28098560,
28125000,28224000,28235760,28311552,28343520,28350000,28449792,28576800,28588707,28672000,
28697814,28704375,28800000,28812000,28824005,28901376,28934010,28940625,29030400,29042496,
29160000,29172150,29296875,29360128,29393280,29400000,29412250,29491200,29503488,29524500,
29531250,29635200,29647548,29760696,29767500,29859840,30000000,30005640,30012500,30105600,
30118144,30233088,30240000,30252600,30375000,30481920,30618000,30625000,30720000,30732800,
30862944,30870000,30965760,31000725,31104000,31116960,31250000,31255875,31352832,31360000,
31457280,31492800,31500000,31505922,31513125,31610880,31640625,31752000,31765230,31850496,
31886460,31893750,32000000,32006016,32112640,32148900,32156250,32256000,32269440,32400000,
32413500,32514048,32659200,32672808,32768000,32805000,32812500,32928000,32941720,33030144,
33067440,33075000,33177600,33191424,33339600,33480783,33554432,33592320,33600000,33614000,
33718272,33750000,33756345,33868800,33882912,34012224,34020000,34034175,34171875,34292160,
34300000,34406400,34420736,34445250,34453125,34560000,34574400,34588806,34720812,34728750,
34836480,34992000,35000000,35006580,35123200,35156250,35271936,35280000,35294700,35389440,
35429400,35437500,35562240,35721000,35831808,35840000,36000000,36006768,36015000,36126720,
36288000,36303120,36450000,36578304,36700160,36741600,36750000,36756909,36864000,36879360,
36905625,37044000,37059435,37158912,37200870,37209375,37324800,37340352,37500000,37507050,
37515625,37632000,37647680,37748736,37791360,37800000,37815750,37933056,37968750,38102400,
38118276,38263752,38272500,38281250,38400000,38416000,38535168,38578680,38587500,38707200,
38723328,38880000,38896200,39062500,39191040,39200000,39321600,39337984,39366000,39375000,
39513600,39530064,39680928,39690000,39813120,39858075,40000000,40007520,40140800,40186125,
40310784,40320000,40336800,40353607,40500000,40507614,40516875,40642560,40824000,40841010,
40960000,41006250,41015625,41150592,41160000,41177150,41287680,41334300,41343750,41472000,
41489280,41674500,41803776,41943040,41990400,42000000,42007896,42017500,42147840,42187500,
42336000,42353640,42467328,42515280,42525000,42674688,42865200,42875000,43008000,43025920,
43046721,43200000,43218000,43352064,43401015,43545600,43563744,43740000,43750000,43758225,
43904000,44040192,44089920,44100000,44118375,44236800,44255232,44286750,44296875,44452800,
44471322,44641044,44651250,44789760,44800000,44957696,45000000,45008460,45018750,45158400,
45177216,45349632,45360000,45378900,45562500,45722880,45875200,45927000,45937500,46080000,
46099200,46118408,46294416,46305000,46448640,46656000,46675440,46875000,47029248,47040000,
47059600,47185920,47239200,47250000,47258883,47416320,47628000,47647845,47775744,47829690,
47840625,48000000,48009024,48020000,48168960,48223350,48234375,48384000,48404160,48600000,
48620250,48771072,48828125,48988800,49000000,49009212,49152000,49172480,49207500,49218750,
49392000,49412580,49545216,49601160,49612500,49766400,49787136,50000000,50009400,50176000,
50331648,50388480,50400000,50421000,50577408,50625000,50803200,50824368,51018336,51030000,
51200000,51380224,51438240,51450000,51609600,51631104,51667875,51840000,51861600,51883209,
52081218,52093125,52254720,52428800,52488000,52500000,52509870,52521875,52684800,52706752,
52734375,52907904,52920000,52942050,53084160,53144100,53156250,53343360,53581500,53593750,
53747712,53760000,53782400,54000000,54010152,54022500,54190080,54432000,54454680,54675000,
54687500,54867456,54880000,55050240,55112400,55125000,55296000,55319040,55566000,55738368,
55801305,55987200,56000000,56010528,56197120,56250000,56260575,56448000,56471520,56623104,
56687040,56700000,56723625,56899584,56953125,57153600,57177414,57344000,57395628,57408750,
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58344300,58593750,58720256,58786560,58800000,58824500,58982400,59006976,59049000,59062500,
59270400,59295096,59521392,59535000,59719680,60000000,60011280,60025000,60211200,60236288,
60466176,60480000,60505200,60750000,60761421,60963840,61236000,61250000,61261515,61440000,
61465600,61509375,61725888,61740000,61765725,61931520,62001450,62015625,62208000,62233920,
62500000,62511750,62705664,62720000,62914560,62985600,63000000,63011844,63026250,63221760,
63281250,63504000,63530460,63700992,63772920,63787500,64000000,64012032,64225280,64297800,
64312500,64512000,64538880,64800000,64827000,65028096,65318400,65345616,65536000,65610000,
65625000,65856000,65883440,66060288,66134880,66150000,66355200,66382848,66430125,66679200,
66706983,66961566,66976875,67108864,67184640,67200000,67228000,67436544,67500000,67512690,
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68812800,68841472,68890500,68906250,69120000,69148800,69177612,69441624,69457500,69672960,
69984000,70000000,70013160,70246400,70312500,70543872,70560000,70589400,70778880,70858800,
70875000,71124480,71442000,71663616,71680000,71744535,72000000,72013536,72030000,72253440,
72335025,72576000,72606240,72900000,72930375,73156608,73400320,73483200,73500000,73513818,
73530625,73728000,73758720,73811250,73828125,74088000,74118870,74317824,74401740,74418750,
74649600,74680704,75000000,75014100,75031250,75264000,75295360,75497472,75582720,75600000,
75631500,75866112,75937500,76204800,76236552,76527504,76545000,76562500,76800000,76832000,
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79413075,79626240,79716150,79734375,80000000,80015040,80281600,80372250,80390625,80621568,
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83349000,83607552,83886080,83980800,84000000,84015792,84035000,84295680,84375000,84672000,
84707280,84934656,85030560,85050000,85349376,85730400,85750000,85766121,86016000,86051840,
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88510464,88573500,88593750,88905600,88942644,89282088,89302500,89579520,89600000,89915392,
90000000,90016920,90037500,90316800,90354432,90699264,90720000,90757800,91125000,91445760,
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93312000,93350880,93750000,93767625,94058496,94080000,94119200,94371840,94478400,94500000,
94517766,94539375,94832640,94921875,95256000,95295690,95551488,95659380,95681250,95703125,
96000000,96018048,96040000,96337920,96446700,96468750,96768000,96808320,97200000,97240500,
97542144,97656250,97977600,98000000,98018424,98304000,98344960,98415000,98437500,98784000,
98825160,99090432,99202320,99225000,99532800,99574272,100000000,100018800,100352000,100442349,
100663296,100776960,100800000,100842000,101154816,101250000,101269035,101606400,101648736,102036672,
102060000,102102525,102400000,102515625,102760448,102876480,102900000,102942875,103219200,103262208,
103335750,103359375,103680000,103723200,103766418,104162436,104186250,104509440,104857600,104976000,
105000000,105019740,105043750,105369600,105413504,105468750,105815808,105840000,105884100,106168320,
106288200,106312500,106686720,107163000,107187500,107495424,107520000,107564800,108000000,108020304,
108045000,108380160,108864000,108909360,109350000,109375000,109734912,109760000,110100480,110224800,
110250000,110270727,110592000,110638080,110716875,111132000,111178305,111476736,111602610,111628125,
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114843750,115200000,115248000,115296020,115605504,115736040,115762500,116121600,116169984,116640000,
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118540800,118590192,119042784,119070000,119439360,119574225,120000000,120022560,120050000,120422400,
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129654000,130056192,130203045,130636800,130691232,131072000,131220000,131250000,131274675,131712000,
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133413966,133923132,133953750,133984375,134217728,134369280,134400000,134456000,134873088,135000000,
135025380,135056250,135475200,135531648,136048896,136080000,136136700,136687500,136718750,137168640,
137200000,137625600,137682944,137781000,137812500,138240000,138297600,138355224,138883248,138915000,
139345920,139968000,140000000,140026320,140492800,140625000,141087744,141120000,141178800,141557760,
141717600,141750000,141776649,142248960,142884000,142943535,143327232,143360000,143489070,143521875,
144000000,144027072,144060000,144120025,144506880,144670050,144703125,145152000,145212480,145800000,
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147622500,147656250,148176000,148237740,148635648,148803480,148837500,149299200,149361408,150000000,
150028200,150062500,150528000,150590720,150994944,151165440,151200000,151263000,151732224,151875000,
152409600,152473104,153055008,153090000,153125000,153600000,153664000,154140672,154314720,154350000,
154828800,154893312,155003625,155520000,155584800,155649627,156243654,156250000,156279375,156764160,
156800000,157286400,157351936,157464000,157500000,157529610,157565625,158054400,158120256,158203125,
158723712,158760000,158826150,159252480,159432300,159468750,160000000,160030080,160563200,160744500,
160781250,161243136,161280000,161347200,161414428,162000000,162030456,162067500,162570240,163296000,
163364040,163840000,164025000,164062500,164602368,164640000,164708600,165150720,165337200,165375000,
165888000,165957120,166698000,167215104,167403915,167772160,167961600,168000000,168031584,168070000,
168591360,168750000,168781725,169344000,169414560,169869312,170061120,170100000,170170875,170698752,
170859375,171460800,171500000,171532242,172032000,172103680,172186884,172226250,172265625,172800000,
172872000,172944030,173408256,173604060,173643750,174182400,174254976,174960000,175000000,175032900,
175616000,175781250,176160768,176359680,176400000,176473500,176947200,177020928,177147000,177187500,
177811200,177885288,178564176,178605000,179159040,179200000,179830784,180000000,180033840,180075000,
180633600,180708864,181398528,181440000,181515600,182250000,182284263,182891520,183500800,183708000,
183750000,183784545,184320000,184396800,184473632,184528125,185177664,185220000,185297175,185794560,
186004350,186046875,186624000,186701760,187500000,187535250,187578125,188116992,188160000,188238400,
188743680,188956800,189000000,189035532,189078750,189665280,189843750,190512000,190591380,191102976,
191318760,191362500,191406250,192000000,192036096,192080000,192675840,192893400,192937500,193536000,
193616640,194400000,194481000,195084288,195312500,195955200,196000000,196036848,196608000,196689920,
196830000,196875000,197568000,197650320,198180864,198404640,198450000,199065600,199148544,199290375,
200000000,200037600,200120949,200704000,200884698,200930625,201326592,201553920,201600000,201684000,
201768035,202309632,202500000,202538070,202584375,203212800,203297472,204073344,204120000,204205050,
204800000,205031250,205078125,205520896,205752960,205800000,205885750,206438400,206524416,206671500,
206718750,207360000,207446400,207532836,208324872,208372500,209018880,209715200,209952000,210000000,
210039480,210087500,210739200,210827008,210937500,211631616,211680000,211768200,212336640,212576400,
212625000,213373440,214326000,214375000,214990848,215040000,215129600,215233605,216000000,216040608,
216090000,216760320,217005075,217728000,217818720,218700000,218750000,218791125,219469824,219520000,
220200960,220449600,220500000,220541454,220591875,221184000,221276160,221433750,221484375,222264000,
222356610,222953472,223205220,223256250,223948800,224000000,224042112,224788480,225000000,225042300,
225093750,225792000,225886080,226492416,226748160,226800000,226894500,227598336,227812500,228614400,
228709656,229376000,229582512,229635000,229687500,230400000,230496000,230592040,231211008,231472080,
231525000,232243200,232339968,233280000,233377200,234365481,234375000,234881024,235146240,235200000,
235298000,235929600,236027904,236196000,236250000,236294415,237081600,237180384,238085568,238140000,
238239225,238878720,239148450,239203125,240000000,240045120,240100000,240844800,240945152,241116750,
241171875,241864704,241920000,242020800,242121642,243000000,243045684,243101250,243855360,244140625,
244944000,245000000,245046060,245760000,245862400,246037500,246093750,246903552,246960000,247062900,
247726080,248005800,248062500,248832000,248935680,250000000,250047000,250822656,250880000,251658240,
251942400,252000000,252047376,252105000,252887040,253125000,254016000,254121840,254803968,255091680,
255150000,256000000,256048128,256901120,257191200,257250000,257298363,258048000,258155520,258280326,
258339375,259200000,259308000,259416045,260112384,260406090,260465625,261273600,261382464,262144000,
262440000,262500000,262549350,262609375,263424000,263533760,263671875,264241152,264539520,264600000,
264710250,265420800,265531392,265720500,265781250,266716800,266827932,267846264,267907500,267968750,
268435456,268738560,268800000,268912000,269746176,270000000,270050760,270112500,270950400,271063296,
272097792,272160000,272273400,273375000,273437500,274337280,274400000,275251200,275365888,275562000,
275625000,276480000,276595200,276710448,277766496,277830000,278691840,279006525,279936000,280000000,
280052640,280985600,281250000,281302875,282175488,282240000,282357600,282475249,283115520,283435200,
283500000,283553298,283618125,284497920,284765625,285768000,285887070,286654464,286720000,286978140,
287043750,287109375,288000000,288054144,288120000,288240050,289013760,289340100,289406250,290304000,
290424960,291600000,291721500,292626432,292968750,293601280,293932800,294000000,294055272,294122500,
294912000,295034880,295245000,295312500,296352000,296475480,297271296,297606960,297675000,298598400,
298722816,300000000,300056400,300125000,301056000,301181440,301327047,301989888,302330880,302400000,
302526000,303464448,303750000,303807105,304819200,304946208,306110016,306180000,306250000,306307575,
307200000,307328000,307546875,308281344,308629440,308700000,308828625,309657600,309786624,310007250,
310078125,311040000,311169600,311299254,312487308,312500000,312558750,313528320,313600000,314572800,
314703872,314928000,315000000,315059220,315131250,316108800,316240512,316406250,317447424,317520000,
317652300,318504960,318864600,318937500,320000000,320060160,321126400,321489000,321562500,322486272,
322560000,322694400,322828856,324000000,324060912,324135000,325140480,326592000,326728080,327680000,
328050000,328125000,329204736,329280000,329417200,330301440,330674400,330750000,330812181,331776000,
331914240,332150625,333396000,333534915,334430208,334807830,334884375,335544320,335923200,336000000,
336063168,336140000,337182720,337500000,337563450,337640625,338688000,338829120,339738624,340122240,
340200000,340341750,341397504,341718750,341796875,342921600,343000000,343064484,344064000,344207360,
344373768,344452500,344531250,345600000,345744000,345888060,346816512,347208120,347287500,348364800,
348509952,349920000,350000000,350065800,351232000,351562500,352321536,352719360,352800000,352947000,
353894400,354041856,354294000,354375000,355622400,355770576,357128352,357210000,358318080,358400000,
358722675,359661568,360000000,360067680,360150000,361267200,361417728,361675125,362797056,362880000,
363031200,363182463,364500000,364568526,364651875,365783040,367001600,367416000,367500000,367569090,
367653125,368640000,368793600,368947264,369056250,369140625,370355328,370440000,370594350,371589120,
372008700,372093750,373248000,373403520,375000000,375070500,375156250,376233984,376320000,376476800,
377487360,377913600,378000000,378071064,378157500,379330560,379687500,381024000,381182760,382205952,
382637520,382725000,382812500,384000000,384072192,384160000,385351680,385786800,385875000,387072000,
387233280,387420489,388800000,388962000,390168576,390609135,390625000,391910400,392000000,392073696,
393216000,393379840,393660000,393750000,393824025,395136000,395300640,396361728,396809280,396900000,
397065375,398131200,398297088,398580750,398671875,400000000,400075200,400241898,401408000,401769396,
401861250,401953125,402653184,403107840,403200000,403368000,403536070,404619264,405000000,405076140,
405168750,406425600,406594944,408146688,408240000,408410100,409600000,410062500,410156250,411041792,
411505920,411600000,411771500,412876800,413048832,413343000,413437500,414720000,414892800,415065672,
416649744,416745000,418037760,419430400,419904000,420000000,420078960,420175000,421478400,421654016,
421875000,423263232,423360000,423536400,424673280,425152800,425250000,425329947,426746880,428652000,
428750000,428830605,429981696,430080000,430259200,430467210,430565625,432000000,432081216,432180000,
432360075,433520640,434010150,434109375,435456000,435637440,437400000,437500000,437582250,438939648,
439040000,439453125,440401920,440899200,441000000,441082908,441183750,442368000,442552320,442867500,
442968750,444528000,444713220,445906944,446410440,446512500,447897600,448000000,448084224,449576960,
450000000,450084600,450187500,451584000,451772160,452984832,453496320,453600000,453789000,455196672,
455625000,457228800,457419312,458752000,459165024,459270000,459375000,460800000,460992000,461184080,
462422016,462944160,463050000,464486400,464679936,465010875,466560000,466754400,466948881,468730962,
468750000,468838125,469762048,470292480,470400000,470596000,471859200,472055808,472392000,472500000,
472588830,472696875,474163200,474360768,474609375,476171136,476280000,476478450,477757440,478296900,
478406250,478515625,480000000,480090240,480200000,481689600,481890304,482233500,482343750,483729408,
483840000,484041600,484243284,486000000,486091368,486202500,487710720,488281250,489888000,490000000,
490092120,491520000,491724800,492075000,492187500,493807104,493920000,494125800,495452160,496011600,
496125000,497664000,497871360,500000000,500094000,501645312,501760000,502211745,503316480,503884800,
504000000,504094752,504210000,505774080,506250000,506345175,508032000,508243680,509607936,510183360,
510300000,510512625,512000000,512096256,512578125,513802240,514382400,514500000,514596726,514714375,
516096000,516311040,516560652,516678750,516796875,518400000,518616000,518832090,520224768,520812180,
520931250,522547200,522764928,524288000,524880000,525000000,525098700,525218750,526848000,527067520,
527343750,528482304,529079040,529200000,529420500,530841600,531062784,531441000,531562500,533433600,
533655864,535692528,535815000,535937500,536870912,537477120,537600000,537824000,539492352,540000000,
540101520,540225000,541900800,542126592,544195584,544320000,544546800,546750000,546852789,546875000,
548674560,548800000,550502400,550731776,551124000,551250000,551353635,552960000,553190400,553420896,
553584375,555532992,555660000,555891525,557383680,558013050,558140625,559872000,560000000,560105280,
561971200,562500000,562605750,562734375,564350976,564480000,564715200,564950498,566231040,566870400,
567000000,567106596,567236250,568995840,569531250,571536000,571774140,573308928,573440000,573956280,
574087500,574218750,576000000,576108288,576240000,576480100,578027520,578680200,578812500,580608000,
580849920,583200000,583443000,585252864,585937500,587202560,587865600,588000000,588110544,588245000,
589824000,590069760,590490000,590625000,592704000,592950960,594542592,595213920,595350000,597196800,
597445632,597871125,600000000,600112800,600250000,600362847,602112000,602362880,602654094,602791875,
603979776,604661760,604800000,605052000,605304105,606928896,607500000,607614210,607753125,609638400,
609892416,612220032,612360000,612500000,612615150,614400000,614656000,615093750,615234375,616562688,
617258880,617400000,617657250,619315200,619573248,620014500,620156250,622080000,622339200,622598508,
624974616,625000000,625117500,627056640,627200000,629145600,629407744,629856000,630000000,630118440,
630262500,632217600,632481024,632812500,634894848,635040000,635304600,637009920,637729200,637875000,
640000000,640120320,642252800,642978000,643125000,644972544,645120000,645388800,645657712,645700815,
648000000,648121824,648270000,650280960,651015225,653184000,653456160,655360000,656100000,656250000,
656373375,658409472,658560000,658834400,660602880,661348800,661500000,661624362,661775625,663552000,
663828480,664301250,664453125,666792000,667069830,668860416,669615660,669768750,669921875,671088640,
671846400,672000000,672126336,672280000,674365440,675000000,675126900,675281250,677376000,677658240,
679477248,680244480,680400000,680683500,682795008,683437500,683593750,685843200,686000000,686128968,
688128000,688414720,688747536,688905000,689062500,691200000,691488000,691776120,693633024,694416240,
694575000,696729600,697019904,699840000,700000000,700131600,702464000,703096443,703125000,704643072,
705438720,705600000,705894000,707788800,708083712,708588000,708750000,708883245,711244800,711541152,
714256704,714420000,714717675,716636160,716800000,717445350,717609375,719323136,720000000,720135360,
720300000,720600125,722534400,722835456,723350250,723515625,725594112,725760000,726062400,726364926,
729000000,729137052,729303750,731566080,732421875,734003200,734832000,735000000,735138180,735306250,
737280000,737587200,737894528,738112500,738281250,740710656,740880000,741188700,743178240,744017400,
744187500,746496000,746807040,750000000,750141000,750312500,752467968,752640000,752953600,754974720,
755827200,756000000,756142128,756315000,758661120,759375000,762048000,762365520,764411904,765275040,
765450000,765625000,768000000,768144384,768320000,770703360,771573600,771750000,771895089,774144000,
774466560,774840978,775018125,777600000,777924000,778248135,780337152,781218270,781250000,781396875,
783820800,784000000,784147392,786432000,786759680,787320000,787500000,787648050,787828125,790272000,
790601280,791015625,792723456,793618560,793800000,794130750,796262400,796594176,797161500,797343750,
800000000,800150400,800483796,802816000,803538792,803722500,803906250,805306368,806215680,806400000,
806736000,807072140,809238528,810000000,810152280,810337500,812851200,813189888,816293376,816480000,
816820200,819200000,820125000,820312500,822083584,823011840,823200000,823543000,825753600,826097664,
826686000,826875000,829440000,829785600,830131344,833299488,833490000,836075520,837019575,838860800,
839808000,840000000,840157920,840350000,842956800,843308032,843750000,843908625,846526464,846720000,
847072800,847425747,849346560,850305600,850500000,850659894,850854375,853493760,854296875,857304000,
857500000,857661210,859963392,860160000,860518400,860934420,861131250,861328125,864000000,864162432,
864360000,864720150,867041280,868020300,868218750,870912000,871274880,874800000,875000000,875164500,
877879296,878080000,878906250,880803840,881798400,882000000,882165816,882367500,884736000,885104640,
885735000,885937500,889056000,889426440,891813888,892820880,893025000,895795200,896000000,896168448,
899153920,900000000,900169200,900375000,903168000,903544320,903981141,905969664,906992640,907200000,
907578000,910393344,911250000,911421315,914457600,914838624,917504000,918330048,918540000,918750000,
918922725,921600000,921984000,922368160,922640625,924844032,925888320,926100000,926485875,928972800,
929359872,930021750,930234375,933120000,933508800,933897762,937461924,937500000,937676250,937890625,
939524096,940584960,940800000,941192000,943718400,944111616,944784000,945000000,945177660,945393750,
948326400,948721536,949218750,952342272,952560000,952956900,955514880,956593800,956812500,957031250,
960000000,960180480,960400000,963379200,963780608,964467000,964687500,967458816,967680000,968083200,
968486568,972000000,972182736,972405000,975421440,976562500,979776000,980000000,980184240,983040000,
983449600,984150000,984375000,987614208,987840000,988251600,990904320,992023200,992250000,992436543,
995328000,995742720,996451875,1000000000};
 
int main()
{
    int t;
    scanf("%d",&t);
    while(t--)
    {
        int n;
        scanf("%d",&n);
        printf("%d\n",*lower_bound(a,a+5194,n));
 
    }
    return 0;
} 

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