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FSF has programmed a game. In this game, players need to divide a rectangle into several same squares. The length and width of rectangles are integer, 阅读全文
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Chinese people think of '8' as the lucky digit. Bob also likes digit '8'. Moreover, Bob has his own lucky number L. Now he wants to construct his luck 阅读全文
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The branch of mathematics called number theory is about properties of numbers. One of the areas that has captured the interest of number theoreticians 阅读全文
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The math department has been having problems lately. Due to immense amount of unsolicited automated programs which were crawling across their pages, t 阅读全文
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#include #include #include #include #include #define LL long long using namespace std; const int S=20;//随机算法判定次数，S越大，判错概率越小 LL ans; //给定一个数，判断是否是素数(常用long long大数) LL mult_mod(LL a,LL b,LL mod) //(a*... 阅读全文
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Consider two natural numbers A and B. Let S be the sum of all natural divisors of A^B. Determine S modulo 9901 (the rest of the division of S by 9901) 阅读全文
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__int64 sum(__int64 p,__int64 n) //递归二分求 (1 + p + p^2 + p^3 +...+ p^n)%mod{ //奇数二分式 (1 + p + p^2 +...+ p^(n/2)) * (1 + p^(n/2+1)) if(n==0) //偶数二分式 (1 阅读全文
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Given a positive integer N, your task is to calculate the sum of the positive integers less than N which are not coprime to N. A is said to be coprime 阅读全文
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Consider a positive integer X,and let S be the sum of all positive integer divisors of 2004^X. Your job is to determine S modulo 29 (the rest of the d 阅读全文
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We say that x is a perfect square if, for some integer b, x = b 2. Similarly, x is a perfect cube if, for some integer b, x = b 3. More generally, x i 阅读全文