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题目:给出一个整数n,问1-n之间包括n在内的所有数中49出现的次数。
输入首先为一个整数T,表示接下来有T组输入。
# include <cstdio> # include <cstring> # define N 10000000 # define LEN 22 typedef long long int LL; LL f[LEN][10]; LL pow10[LEN]; void init(void) { pow10[0] = 1; for (int i = 1; i < LEN; ++i) { pow10[i] = 10*pow10[i-1]; if (i>=2)f[i][1] = (i-1)*pow10[i-2]; } memset(f[0], 0, sizeof(f[0])); f[1][1] = 0; for (int i = 1; i < LEN; ++i) for (int j = 1; j < 10; ++j) { f[i][j] = f[i][j-1]+f[i][1]+(j==5 ? pow10[i-1]:0); } } int compute(int num) { int fact = 1; LL ret = 0; LL x = num; while (x) { int t = x % 10; ret += f[fact-1][t]; ++fact; x/=10; } x = num, fact = 1; while (x) { if (x%100 == 49) ret+=num%fact+1, fact*=100, x/=100; else x/=10, fact*=10; } return ret; } int main() { LL T; LL x; init(); scanf("%I64d", &T); while (T--) { scanf("%I64d", &x); printf("%I64d\n", compute(x)); } return 0; }
/*
可以对比这两道题的差异:http://acm.hdu.edu.cn/webcontest/contest_showproblem.php?cid=1432&pid=1002&ojid=0
*/