2934. 最大高楼和

摘要
Title: 2934. 最大高楼和
Tag: dp、树状数组
Memory Limit: 64 MB
Time Limit: 1000 ms

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2934. 最大高楼和

  • 题意

    从这一堆高楼中,选出若干栋高楼,在保证高楼的高度是 严格递增 的情况下它们的 高度和最大 能是多少?

  • 思路

    最大上升子序列和问题,代码完全相同
    https://hexo.ab-in.cn/2023/03/25/Acwing2023-3-25-1/

  • 代码

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    '''
    Author: NEFU AB-IN
    Date: 2023-03-26 10:14:42
    FilePath: \Acwing\3662\3662.py
    LastEditTime: 2023-03-26 10:37:30
    '''
    # import
    import sys
    from collections import Counter, deque
    from heapq import heappop, heappush
    from bisect import bisect_left, bisect_right

    # Final
    N = int(1e5 + 10)
    INF = int(2e9)

    # Define
    sys.setrecursionlimit(INF)
    read = lambda: map(int, input().split())

    tr = [0] * N


    def lowbit(x):
    return x & -x


    def add(x, v):
    while x < N:
    tr[x] = max(tr[x], v)
    x += lowbit(x)


    def query(x):
    res = 0
    while x:
    res = max(res, tr[x])
    x -= lowbit(x)
    return res


    n, = read()
    a = list(read())

    xs = a[:]
    xs = sorted(list(set(xs)))

    res = 0
    for i in range(n):
    k = bisect_left(xs, a[i]) + 1 # 保证下标大于0
    s = query(k - 1) + a[i]
    res = max(res, s)
    add(k, s)

    print(res)
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