1049 Counting Ones (30分)
The task is simple: given any positive integer N, you are supposed to count the total number of 1's in the decimal form of the integers from 1 to N. For example, given N being 12, there are five 1's in 1, 10, 11, and 12.
Input Specification:
Each input file contains one test case which gives the positive N (≤2
30
).
Output Specification:
For each test case, print the number of 1's in one line.
Sample Input:
12
Sample Output:
5
#include<iostream>
#include<algorithm>
using namespace std;
int main(){
int n;cin>>n;
int a=1,ans=0;
while(n/a!=0){ //important 1;
int l=n/(a*10), now=n/a%10,r=n%a; //important 2;
if(now==0) ans+=l*a;
else if(now==1) ans+=l*a+1+r;
else ans+=(l+1)*a;
a*=10;
}
cout<<ans;
}

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