hdu3652

基本的数位dp，需要记录前面除以13的余数。

#include <cstdio>
#include <cstring>
using namespace std;

#define D(x) x

const int MAX_DIGIT = 35;

int n, m;
int f[MAX_DIGIT];
int memoize[MAX_DIGIT][2][2][2][13];

void to_digits(int a)
{
    for (int i = 0; i < MAX_DIGIT; i++)
    {
        f[i] = a % 10;
        a /= 10;
    }
}

int dfs(int digit, bool less, bool contain, bool one, int remain)
{
    if (digit == -1)
    {
        return contain && !remain;
    }
    if (memoize[digit][less][contain][one][remain] != -1)
    {
        return memoize[digit][less][contain][one][remain];
    }
    int limit = less ? 9 : f[digit];
    int ret = 0;
    for (int i = 0; i <= limit; i++)
    {
        int new_remain = (remain * 10 + i) % 13;
        if (i == 3  && one)
        {
            ret += dfs(digit - 1, less || i < f[digit], true, false, new_remain);
            continue;
        }
        if (i == 1)
        {
            ret += dfs(digit - 1, less || i < f[digit], contain, true, new_remain);
            continue;
        }
        ret += dfs(digit - 1, less || i < f[digit], contain, false, new_remain);
    }
    memoize[digit][less][contain][one][remain] = ret;
    return ret;
}

int main()
{
    while (scanf("%d", &n) != EOF)
    {
        to_digits(n);
        memset(memoize, -1, sizeof(memoize));
        int ans = dfs(32, false, false, false, 0);
        printf("%d
", ans);
    }
    return 0;
}