3542. Minimum Operations to Convert All Elements to Zero LeetCode Solution

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Table of Contents

  1. Problem Statement
  2. Complexity Analysis
  3. Minimum Operations to Convert All Elements to Zero solution in C++
  4. Minimum Operations to Convert All Elements to Zero solution in Java
  5. Minimum Operations to Convert All Elements to Zero solution in Python
  6. Additional Resources
3542. Minimum Operations to Convert All Elements to Zero LeetCode Solution image

Problem Statement of Minimum Operations to Convert All Elements to Zero

You are given an array nums of size n, consisting of non-negative integers. Your task is to apply some (possibly zero) operations on the array so that all elements become 0.
In one operation, you can select a subarray [i, j] (where 0 <= i <= j < n) and set all occurrences of the minimum non-negative integer in that subarray to 0.
Return the minimum number of operations required to make all elements in the array 0.

Example 1:

Input: nums = [0,2]
Output: 1
Explanation:

Select the subarray [1,1] (which is [2]), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in [0,0].
Thus, the minimum number of operations required is 1.

Example 2:

Input: nums = [3,1,2,1]
Output: 3
Explanation:

Select subarray [1,3] (which is [1,2,1]), where the minimum non-negative integer is 1. Setting all occurrences of 1 to 0 results in [3,0,2,0].
Select subarray [2,2] (which is [2]), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in [3,0,0,0].
Select subarray [0,0] (which is [3]), where the minimum non-negative integer is 3. Setting all occurrences of 3 to 0 results in [0,0,0,0].
Thus, the minimum number of operations required is 3.

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Example 3:

Input: nums = [1,2,1,2,1,2]
Output: 4
Explanation:

Select subarray [0,5] (which is [1,2,1,2,1,2]), where the minimum non-negative integer is 1. Setting all occurrences of 1 to 0 results in [0,2,0,2,0,2].
Select subarray [1,1] (which is [2]), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in [0,0,0,2,0,2].
Select subarray [3,3] (which is [2]), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in [0,0,0,0,0,2].
Select subarray [5,5] (which is [2]), where the minimum non-negative integer is 2. Setting all occurrences of 2 to 0 results in [0,0,0,0,0,0].
Thus, the minimum number of operations required is 4.

Constraints:

1 <= n == nums.length <= 105
0 <= nums[i] <= 105

Complexity Analysis

  • Time Complexity: O(n)
  • Space Complexity: O(n)

3542. Minimum Operations to Convert All Elements to Zero LeetCode Solution in C++

class Solution {
 public:
  int minOperations(vector<int>& nums) {
    int ans = 0;
    stack<int> stack;
    stack.push(0);

    for (const int num : nums) {
      while (!stack.empty() && stack.top() > num)
        stack.pop();
      if (stack.empty() || stack.top() < num) {
        ++ans;
        stack.push(num);
      }
    }

    return ans;
  }
};
/* code provided by PROGIEZ */

3542. Minimum Operations to Convert All Elements to Zero LeetCode Solution in Java

class Solution {
  public int minOperations(int[] nums) {
    int ans = 0;
    Deque<Integer> stack = new ArrayDeque<>();
    stack.push(0);

    for (final int num : nums) {
      while (!stack.isEmpty() && stack.peek() > num)
        stack.pop();
      if (stack.isEmpty() || stack.peek() < num) {
        ++ans;
        stack.push(num);
      }
    }

    return ans;
  }
}
// code provided by PROGIEZ

3542. Minimum Operations to Convert All Elements to Zero LeetCode Solution in Python

class Solution:
  def minOperations(self, nums: list[int]) -> int:
    ans = 0
    stack = [0]

    for num in nums:
      while stack and stack[-1] > num:
        stack.pop()
      if not stack or stack[-1] < num:
        ans += 1
        stack.append(num)

    return ans
# code by PROGIEZ

Additional Resources

See also  1005. Maximize Sum Of Array After K Negations LeetCode Solution

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