HDU
- 3652
A wqb-number, or B-number for short, is a non-negative integer whose decimal form contains the sub- string "13" and can be divided by 13. For example, 130 and 2613 are wqb-numbers, but 143 and 2639 are not. Your task is to calculate
how many wqb-numbers from 1 to n for a given integer n.
InputProcess till EOF. In each line, there is one positive integer n(1 <= n <= 1000000000).
OutputPrint each answer in a single line.
Sample Input
13
100
200
1000
Sample Output
1
1
2
2
Hint
含有数字13和能够被13整除的数的个数
#include
using namespace std;
int dp[12][15][2][10];///dp[i][j][k][z]:i:处理的数位,j:该数对13取模以后的值,k:是否已经包含13,z结尾的数,判断13所用
int bit[12];
int dfs(int pos,int num,bool t,int pre,bool flag)
{
if(pos==-1)return t&&(num==0);
if(!flag && dp[pos][num][t][pre]!=-1)
return dp[pos][num][t][pre];
int end=flag?bit[pos]:9;
int ans=0;
for(int i=0;i<=end;i++)
ans+=dfs(pos-1,(num*10+i)%13,t||(pre==1&&i==3),i,flag&&(i==end));
if(!flag)dp[pos][num][t][pre]=ans;
return ans;
}
int calc(int n)
{
int pos=0;
while(n)
{
bit[pos++]=n%10;
n/=10;
}
return dfs(pos-1,0,0,0,1);
}
int main()
{
int n;
memset(dp,-1,sizeof(dp));
while(scanf("%d",&n)==1)
printf("%d
",calc(n));
return 0;
}