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1342. Number of Steps to Reduce a Number to Zero
Easy

Given a non-negative integer num, return the number of steps to reduce it to zero. If the current number is even, you have to divide it by 2, otherwise, you have to subtract 1 from it.

 

Example 1:

Input: num = 14
Output: 6
Explanation: 
Step 1) 14 is even; divide by 2 and obtain 7. 
Step 2) 7 is odd; subtract 1 and obtain 6.
Step 3) 6 is even; divide by 2 and obtain 3. 
Step 4) 3 is odd; subtract 1 and obtain 2. 
Step 5) 2 is even; divide by 2 and obtain 1. 
Step 6) 1 is odd; subtract 1 and obtain 0.

Example 2:

Input: num = 8
Output: 4
Explanation: 
Step 1) 8 is even; divide by 2 and obtain 4. 
Step 2) 4 is even; divide by 2 and obtain 2. 
Step 3) 2 is even; divide by 2 and obtain 1. 
Step 4) 1 is odd; subtract 1 and obtain 0.

Example 3:

Input: num = 123
Output: 12

 

Constraints:

  • 0 <= num <= 10^6

 

 

 

class Solution {
public:
    int numberOfSteps (int num) {
    int res = 0;
    #if 0
        //The First solution 
        if (!num) return 0;
        while (num)
        {
            if (num % 2 == 0)
                num /= 2;
            else
                num -= 1;
            res++;
        }
    #else
        //Optimization
        if (!num) return 0;

        while (num) 
        {
            res += (num & 1) ? 2 : 1;
            num >>= 1;
        }                          
    #endif
        return res-1;
    }
};

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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