Milliard Vasya's Function
Time Limit:1000MS Memory Limit:65536KB 64bit IO Format:%I64d & %I64u
Submit Status
Description
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 = 10 9) because Vasya himself won’t cope with the task. Can you solve the problem?
Input
Integer S (1 ≤ S ≤ 81).
Output
The milliard VF value in the point S.
Sample Input
input output
1
10
/*************************************************************************
> File Name: m.cpp
> Author: yuan
> Mail:
> Created Time: 2014年11月10日 星期一 22时24分14秒
************************************************************************/
#include<iostream>
#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<stdlib.h>
#include<algorithm>
#include<cmath>
#define MAX 1000000000
using namespace std;
char str[15];
//int ans[82];
int main()
{
/* int t=MAX;
printf("%d
",t);
memset(ans,0,sizeof(ans));
for(int i=1;i<=MAX;i++)
{
memset(str,0,sizeof(str));
sprintf(str,"%d",i);
int l=strlen(str);
int sum=0;
for(int j=0;j<l;j++)
{
sum+=str[j]-'0';
}
ans[sum]++;
}
for(int i=1;i<=81;i++)
{
printf(",%d",ans[i]);
}*/
int ans[82]={0,10,45,165,495,1287,3003,6435,12870,24310,43749,75501,125565,202005,315315,478731,708444,1023660,1446445,2001285,2714319,3612231,4720815,6063255,7658190,9517662,11645073,14033305,16663185,19502505,22505751,25614639,28759500,31861500,34835625,37594305,40051495,42126975,43750575,44865975,45433800,45433800,44865975,43750575,42126975,40051495,37594305,34835625,31861500,28759500,25614639,22505751,19502505,16663185,14033305,11645073,9517662,7658190,6063255,4720815,3612231,2714319,2001285,1446445,1023660,708444,478731,315315,202005,125565,75501,43749,24310,12870,6435,3003,1287,495,165,45,9,1};
int ll;
while(~scanf("%d",&ll)){
printf("%d
",ans[ll]);
}
return 0;
}