Check if All the Integers in a Range Are Covered

Easy

Problem

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

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] = [start_i, end_i] if start_i <= x <= end_i.

Constraints

1 <= ranges.length <= 50
1 <= start_i <= end_i <= 50
1 <= left <= right <= 50

Examples

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

Output: true

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

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

Output: false

21 is not covered by any range.

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