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uva 10518 - How Many Calls?(矩阵快速幂)

 
公式f(n) = 2 * F(n) - 1, F(n)用矩阵快速幂求。
 
 
#include <stdio.h>  
#include <string.h>  
long long n;  
int b;  
  
struct state {  
    int s[2][2];  
    state(int a = 0, int b = 0, int c = 0, int d = 0) {  
        s[0][0] = a, s[0][1] = b, s[1][0] = c, s[1][1] = d;  
    }  
}tmp(1, 0, 0, 1), c(1, 1, 1, 0);  
  
state count(const state& p, const state& q) {  
    state f;  
    for (int i = 0; i < 2; i++)  
        for (int j = 0; j < 2; j++)  
            f.s[i][j] = (p.s[i][0] * q.s[0][j] + p.s[i][1] * q.s[1][j]) % b;  
    return f;  
}  
  
state solve(long long k) {  
    if (k == 0) return tmp;  
    else if (k == 1) return c;  
  
    state a = solve(k / 2);  
  
    a = count(a, a);  
    if (k % 2) a = count(a, c);  
    return a;  
}  
  
int main () {  
    int cas = 1;  
    while (scanf("%lld%d", &n, &b), n || b) {  
        state ans = solve(n);  
        printf("Case %d: %lld %d %d\n", cas++, n, b,(2 * ans.s[0][0] - 1 + b) % b);  
    }  
    return 0;  
}  

 

 
补充:软件开发 , C++ ,
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