You are given a 2D integer array ranges where ranges[i] = [starti, endi] denotes that all integers between starti and endi (both inclusive) are contained in the ith range.
You are to split ranges into two (possibly empty) groups such that:
Two ranges are said to be overlapping if there exists at least one integer that is present in both ranges.
\n\n[1, 3] and [2, 5] are overlapping because 2 and 3 occur in both ranges.Return the total number of ways to split ranges into two groups. Since the answer may be very large, return it modulo 109 + 7.
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Example 1:
\n\n\nInput: ranges = [[6,10],[5,15]]\nOutput: 2\nExplanation: \nThe two ranges are overlapping, so they must be in the same group.\nThus, there are two possible ways:\n- Put both the ranges together in group 1.\n- Put both the ranges together in group 2.\n\n\n
Example 2:
\n\n\nInput: ranges = [[1,3],[10,20],[2,5],[4,8]]\nOutput: 4\nExplanation: \nRanges [1,3], and [2,5] are overlapping. So, they must be in the same group.\nAgain, ranges [2,5] and [4,8] are also overlapping. So, they must also be in the same group. \nThus, there are four possible ways to group them:\n- All the ranges in group 1.\n- All the ranges in group 2.\n- Ranges [1,3], [2,5], and [4,8] in group 1 and [10,20] in group 2.\n- Ranges [1,3], [2,5], and [4,8] in group 2 and [10,20] in group 1.\n\n\n
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Constraints:
\n\n1 <= ranges.length <= 105ranges[i].length == 20 <= starti <= endi <= 109给你一个二维整数数组 ranges ，其中 ranges[i] = [starti, endi] 表示 starti 到 endi 之间（包括二者）的所有整数都包含在第 i 个区间中。
你需要将 ranges 分成 两个 组（可以为空），满足：
如果两个区间有至少 一个 公共整数，那么这两个区间是 有交集 的。
\n\n[1, 3] 和 [2, 5] 有交集，因为 2 和 3 在两个区间中都被包含。请你返回将 ranges 划分成两个组的 总方案数 。由于答案可能很大，将它对 109 + 7 取余 后返回。
\n\n
示例 1：
\n\n输入：ranges = [[6,10],[5,15]]\n输出：2\n解释：\n两个区间有交集，所以它们必须在同一个组内。\n所以有两种方案：\n- 将两个区间都放在第 1 个组中。\n- 将两个区间都放在第 2 个组中。\n\n\n
示例 2：
\n\n输入：ranges = [[1,3],[10,20],[2,5],[4,8]]\n输出：4\n解释：\n区间 [1,3] 和 [2,5] 有交集，所以它们必须在同一个组中。\n同理，区间 [2,5] 和 [4,8] 也有交集，所以它们也必须在同一个组中。\n所以总共有 4 种分组方案：\n- 所有区间都在第 1 组。\n- 所有区间都在第 2 组。\n- 区间 [1,3] ，[2,5] 和 [4,8] 在第 1 个组中，[10,20] 在第 2 个组中。\n- 区间 [1,3] ，[2,5] 和 [4,8] 在第 2 个组中，[10,20] 在第 1 个组中。\n\n\n
\n\n
提示：
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