[ACMcoder] Number Sequence
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Problem Description
A number sequence is defined as follows:
f(1) = 1, f(2) = 1, f(n) = (A * f(n - 1) + B * f(n - 2)) mod 7.
Given A, B, and n, you are to calculate the value of f(n).
Input
The input consists of multiple test cases. Each test case contains 3 integers A, B and n on a single line (1 <= A, B <= 1000, 1 <= n <= 100,000,000). Three zeros signal the end of input and this test case is not to be processed.
Output
For each test case, print the value of f(n) on a single line.
Sample Input
1 1 3
1 2 10
0 0 0
Sample Output
2
5
解题思路
利用数组的循环规律解题,周期为i-2。
实现代码
#include <iostream>using namespace std;int main(){ int A, B, n; int f[53]; while (cin>>A>>B>>n) { if (A == 0 && B == 0 && n == 0) { break; } f[1] = 1; f[2] = 1; int i, j, z; for (i = 3; i <= 52; i++) { f[i] = (A * f[i-1] + B * f[i-2]) % 7; if (f[i] == 1 && f[i-1] == 1) { break; } } i -= 2; n %= i; if (n == 0) { cout<<f[i]<<endl; } else { cout<<f[n]<<endl; } }};
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