You are given an array of integers nums and an array requests where requests[i] $= [ ext{start}_i, ext{end}_i]$.

The $i^{ ext{th}}$ request calculates the sum of all elements from index $ ext{start}_i$ to index $ ext{end}_i$ inclusive in nums.

Return the maximum possible total sum of all requests obtained by permuting nums in any order. Since the answer may be very large, return it modulo $10^9 + 7$.

Constraints:

• n $==$ nums.length

• $1 \leq$ n $\leq 10^5$

• $0 \leq$ nums[i] $\leq 10^5$

• $1 \leq$ requests.length $\leq 10^5$

• requests[i].length $== 2$

• $0 \leq ext{start}_i \leq ext{end}_i <$ n

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