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Leetcode Number of Digit One problem solution

YASH PAL, 31 July 202420 January 2026

In this Leetcode Number of Digit One problem solution, we have given an integer n, and count the total number of digit 1 appearing in all non-negative integers less than or equal to n.

Leetcode Number of Digit One problem solution

Leetcode Number of Digit One problem solution in Python.

class Solution:
    
    def countDigitOne(self, n): # can not deal with n=-1 case!
        if n<=0: return 0
        
        iCount = 0
        iFactor = 1
        iLowerNum, iCurNum, iHigherNum = 0, 0, 0
        
        while n // iFactor != 0:
            iLowerNum = n - (n//iFactor) * iFactor
            iCurNum = (n//iFactor) % 10
            iHigherNum = n //(iFactor * 10)
            
            if iCurNum == 0:
                iCount += iHigherNum * iFactor
            elif iCurNum == 1:
                iCount += iHigherNum * iFactor + (iLowerNum + 1)
            else:
                iCount += (iHigherNum + 1) * iFactor
            iFactor *= 10
        return iCount

Number of Digit One problem solution in Java.

public int countDigitOne(int n) {
       int res = 0;
       long a = 0;
       long b = 0;
       for(long m=1;m<=n;m*=10){
           a = n/m;
           b = n%m;
           if(a % 10 > 1){
               res += a/10 * m + m;
           }else if( a%10 == 1){
               res += a/10 * m + b + 1;
           }else{
               res += a/10 * m;
           }
       }
        return res;
    }

Problem solution in C++.

class Solution {
public:
    int countDigitOne(int n) {
        if(n <= 0)
            return 0;
        int  x = n;
        int y = 0;
        int res = 1;
        
        while(x >= 10)
        {
            res *= 10;
            x /= 10;
            ++y;
        }
        if(x == 1)
            return res / 10 * y +  n % res + 1 + countDigitOne(n % res);
        else
            return res / 10 * (n/res) * y +  res + countDigitOne(n % res);
         
    }
};

Problem solution in C.

int countDigitOne(int n){
    int temp = n, count = 0, rest = 0, coefficient = 0;
    long int step = 1;
    
    for (int i = 0; temp > 0; i++) {
        int digit = temp % 10;
        coefficient = step / 10 * i;
        if (digit > 1) {
            count += digit * coefficient + step;
        } else if (digit == 1) {
            count += coefficient + rest + 1;
        }
        rest += digit * step;
        step *= 10;
        temp /= 10;
    }
    return count;
}

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