SGU - 107
Description For given number N you must output amount of N-digit numbers, such, that last digits of their square is equal to 987654321. Input Input contains integer number N (1<=N<=106) Output Write answer to the output. Sample Input 8 Sample Output 0 Source |
还挺好玩的这题
思路:先直接暴力找出9位以内的符合题意的数,发现有8个,而且全都是9位数,依次是
// 111111111
// 119357639
// 380642361
// 388888889
// 611111111
// 619357639
// 880642361
// 888888889
8位数时,ans = 0,9位数时,ans = 8
而根据排列组合有10位数时,ans=9*8,大于10位时,ans=9*(10^(n-10))*8。。
AC代码:
#include <cstdio> #include <cstring> #include <algorithm> #include <iostream> #include <cmath> using namespace std; int main() { int n; scanf("%d", &n); if(n<9) printf("0\n"); else if(n == 9) printf("8\n"); else { printf("72"); for(int i=11; i<=n; i++) { printf("0"); } printf("\n"); } return 0; }
SGU - 107 - 987654321 problem (简单数学!)
原文地址:http://blog.csdn.net/u014355480/article/details/41870091