LeetCode1109:航班预订统计(Corporate Flight Bookings)

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英文题目:

There are n flights, and they are labeled from 1 to n.

We have a list of flight bookings. The i-th booking bookings[i] = [i, j, k] means that we booked k seats from flights labeled i to j inclusive.

Return an array answer of length n, representing the number of seats booked on each flight in order of their label.


Example:

Input: bookings = [[1,2,10],[2,3,20],[2,5,25]], n = 5
Output: [10,55,45,25,25]


Constraints:

1 <= bookings.length <= 20000
1 <= bookings[i][0] <= bookings[i][1] <= n <= 20000
1 <= bookings[i][2] <= 10000



题解:

暴力枚举O(n+m)

1.根据题目,给定一个全为0的数组,然后每次将区间 [i, j] 统一增加k,问操作了若干次之后每个位置的值为多少

2.转换为使用端点,例如[i, j] 我们可以在i处增加k, 在j + 1处减少k,

统计时,记res[i] = res[i] + res [i-1]

时间复杂度:

每个区间遍历一次,每个位置遍历一次,股时间复杂度为O(m+n),其中n为位置的个数,m为区间的个数。

空间复杂度:

O(n)



中文题目:

这里有 n 个航班,它们分别从 1 到 n 进行编号。

我们这儿有一份航班预订表,表中第 i 条预订记录 bookings[i] = [i, j, k] 意味着我们在从 i 到 j 的每个航班上预订了 k 个座位。

请你返回一个长度为 n 的数组 answer,按航班编号顺序返回每个航班上预订的座位数。


示例:

输入:bookings = [[1,2,10],[2,3,20],[2,5,25]], n = 5
输出:[10,55,45,25,25]


提示:

1 <= bookings.length <= 20000
1 <= bookings[i][0] <= bookings[i][1] <= n <= 20000
1 <= bookings[i][2] <= 10000



解答:



Python3
class Solution:
    def corpFlightBookings(self, bookings: List[List[int]], n: int) -> List[int]:
        res = [0] * n
        for l, r, seat in bookings:
            res[l - 1] += seat
            if r < n:
                res[r] -= seat
        for i in range(1, n):
            res[i] += res[i-1]
        return res
    



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