zero-array-transformation-i

zero-array-transformation-i


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:


    • 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.






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].



  • 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.






 


Constraints:




  • 1 <= nums.length <= 105

  • 0 <= nums[i] <= 105

  • 1 <= queries.length <= 105

  • queries[i].length == 2

  • 0 <= li <= ri < nums.length


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