1270. 数列区间最大值

摘要
Title: 1270. 数列区间最大值
Tag: 线段树
Memory Limit: 64 MB
Time Limit: 1000 ms

Powered by:NEFU AB-IN

Link

1270. 数列区间最大值

  • 题意

    输入一串数字,给你 M 个询问,每次询问就给你两个数字 X,Y,要求你说出 X 到 Y 这段区间内的最大数。

  • 思路

    线段树求区间最大值

  • 代码

    线段树常数太大了,而且读入数据也多,导致超时

    1
    2
    3
    4
    5
    6
    7
    8
    9
    10
    11
    12
    13
    14
    15
    16
    17
    18
    19
    20
    21
    22
    23
    24
    25
    26
    27
    28
    29
    30
    31
    32
    33
    34
    35
    36
    37
    38
    39
    40
    41
    42
    43
    44
    45
    46
    47
    48
    49
    50
    51
    52
    53
    54
    55
    56
    57
    58
    59
    '''
    Author: NEFU AB-IN
    Date: 2022-03-26 17:50:51
    FilePath: \ACM\Acwing\1264.1.py
    LastEditTime: 2022-03-26 21:03:12
    '''
    class Node():
    def __init__(self, l, r):
    self.l = l
    self.r = r
    self.max = -1


    N = int(1e5 + 10)
    tr = [Node(0, 0) for _ in range(N << 2)]
    a = [0] * N


    def pushup(p):
    tr[p].max = max(tr[p << 1].max, tr[p << 1 | 1].max)


    def build(p, l, r):
    tr[p] = Node(l, r)
    if l == r:
    tr[p].max = a[l]
    return
    mid = l + r >> 1
    build(p << 1, l, mid)
    build(p << 1 | 1, mid + 1, r)
    pushup(p)


    def modify(p, k, v):
    if k <= tr[p].l and tr[p].r <= k:
    tr[p].max = v
    return
    mid = tr[p].l + tr[p].r >> 1
    if k <= mid: modify(p << 1, k, v)
    if k > mid: modify(p << 1 | 1, k, v)
    pushup(p)


    def query(p, l, r):
    ans = -1
    if l <= tr[p].l and tr[p].r <= r:
    return tr[p].max
    mid = tr[p].l + tr[p].r >> 1
    if l <= mid: ans = max(ans, query(p << 1, l, r))
    if r > mid: ans = max(ans, query(p << 1 | 1, l, r))
    return ans


    n, m = map(int, input().split())
    a[1:] = list(map(int, input().split()))
    build(1, 1, n)
    for i in range(m):
    x, y = map(int, input().split())
    print(query(1, x, y))
使用搜索:谷歌必应百度