|
| 1 | +from collections import Counter |
| 2 | +from typing import List |
| 3 | + |
| 4 | + |
| 5 | +def interval_sweep_shitty(requests): |
| 6 | + """ |
| 7 | + Given a list of ranges, return an array |
| 8 | + where arr[i] equals the number of ranges |
| 9 | + including i. |
| 10 | + """ |
| 11 | + bounds_counts = Counter() |
| 12 | + first, last = float('inf'), -float('inf') |
| 13 | + for start, end in requests: |
| 14 | + bounds_counts[start] += 1 |
| 15 | + bounds_counts[end+1] -= 1 |
| 16 | + first = min(start, end, first) |
| 17 | + last = max(start, end, last) |
| 18 | + |
| 19 | + frequency = 0 |
| 20 | + overlap_count = [] |
| 21 | + for val in range(first, last+1): |
| 22 | + frequency += bounds_counts[val] |
| 23 | + overlap_count.append(frequency) |
| 24 | + return overlap_count |
| 25 | + |
| 26 | + |
| 27 | +def interval_sweep(nums_len, requests): |
| 28 | + """ |
| 29 | + Same as above, but borrowing from @lee215's |
| 30 | + technique which is faster. |
| 31 | + """ |
| 32 | + counts = [0] * (nums_len+1) |
| 33 | + for start, end in requests: |
| 34 | + counts[start] += 1 |
| 35 | + counts[end+1] -= 1 |
| 36 | + |
| 37 | + for i in range(1, nums_len+1): |
| 38 | + counts[i] += counts[i-1] |
| 39 | + return counts |
| 40 | + |
| 41 | + |
| 42 | +class Solution: |
| 43 | + def maxSumRangeQuery(self, nums: List[int], requests: List[List[int]]) -> int: |
| 44 | + nums.sort(reverse=True) |
| 45 | + overlap_count = interval_sweep(len(nums), requests) |
| 46 | + max_sum = 0 |
| 47 | + for i, frequency in enumerate(sorted(overlap_count[:-1], reverse=True)): |
| 48 | + max_sum += frequency*nums[i] |
| 49 | + return max_sum % (10**9 + 7) |
| 50 | + |
| 51 | + |
| 52 | +s = Solution() |
| 53 | +cases = [ |
| 54 | + ([1, 2, 3, 4, 5], [[1, 3], [0, 1]], 19), |
| 55 | + ([1, 2, 3, 4, 5, 6], [[0, 1]], 11), |
| 56 | + ([1, 2, 3, 4, 5, 10], [[0, 2], [1, 3], [1, 1]], 47) |
| 57 | +] |
| 58 | +for nums, requests, expected in cases: |
| 59 | + actual = s.maxSumRangeQuery(nums, requests) |
| 60 | + assert actual == expected, f"{nums, requests}: {expected} != {actual}" |
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