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Check if All the Integers in a Range Are Covered

You are given a 2D integer array ranges and two integers left and right.

You are given a 2D integer array ranges and two integers left and right. Each ranges[i] = [starti, endi] represents an inclusive interval between starti and endi.

Return true if each integer in the inclusive range [left, right] is covered by at least one interval in ranges. Return false otherwise.

An integer x is covered by an interval ranges[i] = [starti, endi] if starti <= x <= endi.

Example 1

Input: ranges = [[1,2],[3,4],[5,6]], left = 2, right = 5

Output: true

Explanation: Every integer between 2 and 5 is covered: - 2 is covered by the first range. - 3 and 4 are covered by the second range. - 5 is covered by the third range.

Example 2

Input: ranges = [[1,10],[10,20]], left = 21, right = 21

Output: false

Explanation: 21 is not covered by any range.

Constraints

  • 1 <= ranges.length <= 50
  • 1 <= starti <= endi <= 50
  • 1 <= left <= right <= 50

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