hdoj269VF



/*VF

时间限制：1000 ms  |  内存限制：65535 KB

难度：2

描述

Vasya is the beginning mathematician. He decided to make an important contribution to

the science and to become famous all over the world. But how can he do that

if the most interesting facts such as Pythagor’s theorem are already proved?

Correct! He is to think out something his own, original.

So he thought out the Theory of Vasya’s Functions.

Vasya’s Functions (VF) are rather simple: the value of the Nth VF in the point S is

an amount of integers from 1 to N that have the sum of digits S.

You seem to be great programmers, so Vasya gave you a task to find the milliard VF

value (i.e. the VF with N = 109) because Vasya himself won’t cope with the task.

Can you solve the problem?

输入There are multiple test cases.

Integer S (1 ≤ S ≤ 81).输出The milliard VF value in the point S.样例输入1

样例输出10*/

<span style="font-size:18px;">#include <stdio.h>
int dp[10][82];  

void func()
{
    int i,j,k;
    for(i = 1; i < 10; i++)
    {
        dp[1][i] = 1;
    }
    for(i = 2; i < 10; i++)
    {
        for(j = 1; j <= 9*i; j++)
        {
            for(k = 0; k <= 9&&k < j; k++)
            {
                dp[i][j] += dp[i-1][j-k];
            }
        }
    }
}
int main()
{
    int s,i;
    func();
    while(~scanf("%d",&s))
    {
        int count = 0;
        if(s == 1)
        {
            printf("%d\n",10);
            continue;
        }
        else
        {
            for(i = 1; i < 10; i++)              {
                count += dp[i][s];
            }
        }
        printf("%d\n",count);
    }
    return 0;
}
</span>

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