【poj 3368 】 Frequent values 线段树应用

Frequent values

Time Limit: 2000MS Memory Limit: 65536K

Total Submissions: 15940 Accepted: 5802

Description

You are given a sequence of n integers a1 , a2 , … , an in non-decreasing order. In addition to that, you are given several queries consisting of indices i and j (1 ≤ i ≤ j ≤ n). For each query, determine the most frequent value among the integers ai , … , aj.

Input

The input consists of several test cases. Each test case starts with a line containing two integers n and q (1 ≤ n, q ≤ 100000). The next line contains n integers a1 , … , an (-100000 ≤ ai ≤ 100000, for each i ∈ {1, …, n}) separated by spaces. You can assume that for each i ∈ {1, …, n-1}: ai ≤ ai+1. The following q lines contain one query each, consisting of two integers i and j (1 ≤ i ≤ j ≤ n), which indicate the boundary indices for the

query.

The last test case is followed by a line containing a single 0.

Output

For each query, print one line with one integer: The number of occurrences of the most frequent value within the given range.

Sample Input

10 3

-1 -1 1 1 1 1 3 10 10 10

2 3

1 10

5 10

0

Sample Output

1

4

3

Source

Ulm Local 2007

题目链接：http://poj.org/status

题意：给出n个数和Q个询问（l,r)，对于每个询问求出(l,r)之间连续出现次数最多的次数。

思路：因为数字的连续性–》最长连续字段的想法，lx，rx分别代表自左，自右的最长数；

更新：

void push_up(int id,int l,int r)
{
int mid=(l+r)>>1;
if(a[mid]==a[mid+1])tr[id].val=max(tr[lson].rx+tr[rson].lx,max(tr[lson].val,tr[rson].val));
else tr[id].val=max(tr[lson].val,tr[rson].val);//！！！分别max，不与自己比（WA 点）

if(tr[lson].lx==mid-l+1&&a[mid]==a[mid+1])
tr[id].lx=tr[lson].rx+tr[rson].lx;
else tr[id].lx=tr[lson].lx;

if(tr[rson].rx==r-mid&&a[mid]==a[mid+1])
tr[id].rx=tr[rson].lx+tr[lson].rx;
else tr[id].rx=tr[rson].rx;
}

没有修改，一遍build；

query时分情况讨论，注意跨区间的讨论：if(a[mid+1]==a[mid]) m=min(mid-l+1,tr[lson].rx)+min(r-mid,tr[rson].lx);

#include<iostream>
#include<stdio.h>
#include<string.h>
#define lson (id*2)
#define rson (id*2+1)
using namespace std;
struct node{
int lx,rx,val;
}tr[100002*8];
int a[200005];
int n,m;
int ans;
void push_up(int id,int l,int r)
{
int mid=(l+r)>>1;
if(a[mid]==a[mid+1])tr[id].val=max(tr[lson].rx+tr[rson].lx,max(tr[lson].val,tr[rson].val));
else tr[id].val=max(tr[lson].val,tr[rson].val);

if(tr[lson].lx==mid-l+1&&a[mid]==a[mid+1])
tr[id].lx=tr[lson].rx+tr[rson].lx;
else tr[id].lx=tr[lson].lx;

if(tr[rson].rx==r-mid&&a[mid]==a[mid+1])
tr[id].rx=tr[rson].lx+tr[lson].rx;
else tr[id].rx=tr[rson].rx;
}
void build(int id,int l,int r)
{
if(l==r)
{
tr[id].lx=tr[id].rx=tr[id].val=1;
return;
}
int mid=(l+r)>>1;
build(lson,l,mid);
build(rson,mid+1,r);
push_up(id,l,r);
//cout<<l<<"  "<<r<<"           "<<tr[id].val<<endl;
}
int query(int id,int L,int R,int l,int r)
{
if(L>r||R<l||R<L) return 0;
if(L>=l&&R<=r) return tr[id].val;
int mid=(L+R)>>1;
int m=1,m1=1,m2=1;
if(a[mid+1]==a[mid]) m=min(mid-l+1,tr[lson].rx)+min(r-mid,tr[rson].lx);
if(l<=mid)
m1=query(lson,L,mid,l,r);
if(r>mid)
m2=query(rson,mid+1,R,l,r);
m=max(max(m1,m2),m);
return m;

}
int main()
{
while(scanf("%d",&n))
{
if(n==0) return 0;
int aa,bb;
scanf("%d",&m);
for(int i=1;i<=n;i++)
scanf("%d",&a[i]);
build(1,1,n);
for(int i=1;i<=m;i++)
{
scanf("%d%d",&aa,&bb);
printf("%d\n",query(1,1,n,aa,bb));
}

}

}