hdu 3308 线段树，单点更新 求最长连续上升序列长度

LCIS

Time Limit: 6000/2000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 9713    Accepted Submission(s): 4215

Problem Description

Given n integers.
You have two operations:
U A B: replace the Ath number by B. (index counting from 0)
Q A B: output the length of the longest consecutive increasing subsequence (LCIS) in [a, b].

 

Input

T in the first line, indicating the case number.
Each case starts with two integers n , m(0<n,m<=10⁵).
The next line has n integers(0<=val<=10⁵).
The next m lines each has an operation:
U A B(0<=A,n , 0<=B=10⁵)
OR
Q A B(0<=A<=B< n).

 

Output

For each Q, output the answer.

 

Sample Input

1

10 10

7 7 3 3 5 9 9 8 1 8

Q 6 6

U 3 4

Q 0 1

Q 0 5

Q 4 7

Q 3 5

Q 0 2

Q 4 6

U 6 10

Q 0 9

 

Sample Output

1

1

4

2

3

1

2

5

 

题意：求区间连续递增的最大个数，Q是询问区间内最大的LCIS

U是更新节点

 

#include <iostream>
#include <cstdio>
#include <algorithm>
using namespace std;
const int maxn = 1e5 + ;
int llen[maxn << ], rlen[maxn << ], len[maxn << ], tree[maxn];
void pushup(int l, int r, int id)
{
    int m = (l + r) >> ;
    llen[id] = llen[id << ];
    rlen[id] = rlen[id <<  | ];
    if (tree[m + ] > tree[m])
    {
        if (llen[id << ] == m - l + )
            llen[id] += llen[id <<  | ];
        if (rlen[id <<  | ] == r - m)
            rlen[id] += rlen[id << ];
        len[id] = max(max(len[id << ], len[id <<  | ]), rlen[id << ] + llen[id <<  | ]);
    }
    else
        len[id] = max(len[id << ], len[id <<  | ]);
}
void build(int l, int r, int id)
{
    if (l == r)
    {
        scanf("%d", &tree[l]);
        len[id] = llen[id] = rlen[id] = ;
        return;
    }
    int m = (l + r) >> ;
    build(l,m,id<<);
    build(m+,r,id<<|);
    pushup(l, r, id);
}
int query(int ll, int rr, int l, int r, int id)
{
    if (ll <= l && r <= rr)
        return len[id];
    int m = (l + r) >> ;
    if (ll <= m && m < rr)
    {
        int l1 = query(ll, rr, l,m,id<<);
        int l2 = query(ll, rr, m+,r,id<<|);
        if (tree[m] < tree[m + ])
        {
            int le = max(ll, m - rlen[id << ] + );
            int ri = min(rr, m + llen[id <<  | ]);
            return max(max(l1, l2), ri - le + );
        }
        return max(l1, l2);
    }
    else if (rr <= m)
        return query(ll, rr, l,m,id<<);
    else
        return query(ll, rr, m+,r,id<<|);
}

void update(int a, int b, int l, int r, int id)
{
    if (a == l && a == r)//找到要更新的位置
    {
        tree[a] = b;
        return;
    }
    int m = (l + r) >> ;
    if (m >= a)
        update(a, b, l,m,id<<);
    else
        update(a, b, m+,r,id<<|);
    pushup(l, r, id);
}
int main()
{
    int t;
    scanf("%d\n", &t);
    while (t--)
    {
        int n, m;
        scanf("%d%d", &n, &m);
        build(, n - , );

        while (m--)
        {
            char c[];
            int a, b;
            scanf("%s %d %d", c, &a, &b);
            if (c[] == 'Q')
                printf("%d\n", query(a, b, , n - , ));
            else
                update(a, b, , n - , );
        }
    }
    return ;
}