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Power Of Cryptography

์›๋ฌธ๋ณด๊ธฐ
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๋ ˆ๋ฒจ:1(1~4)

About PowerOfCryptography

์ •์ˆ˜ ๊ณผ ์ด ์ฃผ์–ด์กŒ์„๋•Œ, ๋‹น์‹ ์€ ๋ฅผ ๊ตฌํ•˜๋Š” ํ”„๋กœ๊ทธ๋žจ์„ ์ž‘์„ฑํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์ด ํ”„๋กœ๊ทธ๋žจ์—์„œ ์ฃผ์–ด์ง„ n๊ณผ p์— ๋Œ€ํ•˜์—ฌ, p๋Š” ํ•ญ์ƒ ํ˜•ํƒœ๋ฅผ ๊ฐ–์Šต๋‹ˆ๋‹ค. (์—ฌ๊ธฐ์„œ k๋Š” ๋‹น์‹ ์ด ์ฐพ์•„์•ผ ๋  ์ •์ˆ˜์ž…๋‹ˆ๋‹ค.)

Input

์ž…๋ ฅ์€ ์ •์ˆ˜ ์Œ n, p๊ฐ€ ๊ฐ๊ฐ ํ•œ์ค„์”ฉ ์ž…๋ ฅ๋ฉ๋‹ˆ๋‹ค. ์—ฌ๊ธฐ์„œ n, p, k์˜ ๋ฒ”์œ„๋Š” ๊ฐ๊ฐ 1โ‰คnโ‰ค200, 1โ‰คpโ‰ค10101,1โ‰คkโ‰ค109 ์ž…๋‹ˆ๋‹ค. ์ž…๋ ฅ์˜ ๋ EOF์ž…๋‹ˆ๋‹ค.

Output

์ฃผ์–ด์ง„ ์ž…๋ ฅ์— ๋Œ€ํ•˜์—ฌ kn=p , ์ฆ‰ k๋ฅผ ํ•œ์ค„์”ฉ ์ถœ๋ ฅํ•ด์•ผ ํ•ฉ๋‹ˆ๋‹ค. ์—ฌ๊ธฐ์„œ k ๋Š” ์ž…๋‹ˆ๋‹ค.

Sample Input

~cpp 
2
16
3
27
7
4357186184021382204544
6
26602415411136870590907439609

Sample Output

~cpp 
4
3
1234
54637

ํ’€์ด

์ž‘์„ฑ์ž ์‚ฌ์šฉ์–ธ์–ด ๊ฐœ๋ฐœ์‹œ๊ฐ„ ์ฝ”๋“œ
ํ—ˆ์•„์˜ C 2์‹œ๊ฐ„ PowerOfCryptography/ํ—ˆ์•„์˜
๋ฌธ๋ณด์ฐฝ C++ 3์‹œ๊ฐ„ PowerOfCryptography/๋ฌธ๋ณด์ฐฝ
์ด์˜ํ˜ธ C 5๋ถ„(์ฝ”๋”ฉX:์ด๋ก ) + 13๋ถ„(์ฝ”๋”ฉ) PowerOfCryptography/์ด์˜ํ˜ธ
์กฐํ˜„ํƒœ C/C++ . PowerOfCryptography/์กฐํ˜„ํƒœ

์“ฐ๋ ˆ๋“œ

ACM๋ฌธ์ œ๋“ค์„ ํ›‘์–ด๋ณด๋‹ค๊ฐ€ '1ํ•™๋…„ ์—ฌ๋Ÿฌ๋ถ„๋“ค์ด ํ’€์–ด๋ดค์œผ๋ฉด ์ข‹๊ฒ ๋‹ค'๋ผ๋Š” ์ƒ๊ฐ์ด ๋“ค์–ด ๋ฒˆ์—ญํ•ด์„œ ์˜ฌ๋ฆฝ๋‹ˆ๋‹ค. ์ง€๊ธˆ๊นŒ์ง€ ๋ฐฐ์šด C๋ฅผ ์ด์šฉํ•˜์—ฌ ์ด ๋ฌธ์ œ๋ฅผ ํ•œ๋ฒˆ ํ’€์–ด๋ณด์„ธ์š”. C๋ฅผ ๋‹ค์ง€๊ธฐ ์ข‹์€ ๋ฌธ์ œ๋ผ๊ณ  ์ƒ๊ฐํ•ฉ๋‹ˆ๋‹ค. -- ๋ณด์ฐฝ

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