3355. Zero Array Transformation I
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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]innums. - 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:
- Select the subset of indices as
[0, 2]and decrement the values at these indices by 1. - The array will become
[0, 0, 0], which is a Zero Array.
- Select the subset of indices as
Example 2:
Input: nums = [4,3,2,1], queries = [[1,3],[0,2]]
Output: false
Explanation:
- For i = 0:
- Select the subset of indices as
[1, 2, 3]and decrement the values at these indices by 1. - The array will become
[4, 2, 1, 0].
- Select the subset of indices as
- For i = 1:
- Select the subset of indices as
[0, 1, 2]and decrement the values at these indices by 1. - The array will become
[3, 1, 0, 0], which is not a Zero Array.
- Select the subset of indices as
Constraints:
1 <= nums.length <= 1050 <= nums[i] <= 1051 <= queries.length <= 105queries[i].length == 20 <= li <= ri < nums.length
Hints
Hint 1
Can we use difference array and prefix sum to check if an index can be made zero?