Solve two LeetCode-style problems (typically one easy and one medium difficulty). Implement one function that solves both tasks: find the indices of the unique pair in nums that sums to target, and merge overlapping inclusive intervals. The function receives nums, target, and intervals, and returns a dictionary with two_sum and merged_intervals keys. Each test case contains exactly one valid pair.
Signature: solve_two_problems(nums, target, intervals)
def solve_two_problems(nums, target, intervals):