3355: Zero Array Transformation I

Problem Statement

You are given an integer array nums of length n and a 2D array queries, where queries[i] = [li, ri].

For each queries[i]:

  • Select a subset of indices within the range [li, ri] in nums.
  • Decrement the values at the selected indices by 1.

A Zero Array is an array where all elements are equal to 0.

Return true if it is possible to transform nums into a Zero Array after processing all the queries sequentially, otherwise return false.

Example 1:

Input: nums = [1,0,1], queries = [[0,2]]

Output: true

Explanation:

  • For i = 0:
<ul>
	<li>Select the subset of indices as <code>[0, 2]</code> and decrement the values at these indices by 1.</li>
	<li>The array will become <code>[0, 0, 0]</code>, which is a Zero Array.</li>
</ul>
</li>

Example 2:

Input: nums = [4,3,2,1], queries = [[1,3],[0,2]]

Output: false

Explanation:

  • For i = 0:
<ul>
	<li>Select the subset of indices as <code>[1, 2, 3]</code> and decrement the values at these indices by 1.</li>
	<li>The array will become <code>[4, 2, 1, 0]</code>.</li>
</ul>
</li>
<li><strong>For i = 1:</strong>
<ul>
	<li>Select the subset of indices as <code>[0, 1, 2]</code> and decrement the values at these indices by 1.</li>
	<li>The array will become <code>[3, 1, 0, 0]</code>, which is not a Zero Array.</li>
</ul>
</li>

Constraints:

  • 1 <= nums.length <= 105
  • 0 <= nums[i] <= 105
  • 1 <= queries.length <= 105
  • queries[i].length == 2
  • 0 <= li <= ri < nums.length

Code Solution