线段树(需要维护左半部分与右半部分)-poj3368
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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 10 102 31 105 100
Sample Output
143线段树写法,代码如下:#include<iostream>#include<set>#include<map>#include<vector>#include<queue>#include<cmath>#include<climits>#include<cstdio>#include<string>#include<cstring>#include<algorithm>typedef long long LL;using namespace std;struct node{ int s,t,lnum,rnum,mnum;} tree[400010];int N,Q;int d[100110];void build(int s,int t,int num){ tree[num].s=s; tree[num].t=t; if(s==t) { tree[num].lnum=tree[num].rnum=tree[num].mnum=1; return ; } int mid=(tree[num].s+tree[num].t)>>1; build(s,mid,num<<1); build(mid+1,t,(num<<1)+1); int tmp=0; if(d[tree[num<<1].t]==d[tree[(num<<1)+1].s]) tmp=tree[num<<1].rnum+tree[(num<<1)+1].lnum; tree[num].mnum=max(max(tree[num<<1].mnum,tree[(num<<1)+1].mnum),tmp); tree[num].lnum=tree[num<<1].lnum; if(tree[num<<1].lnum==mid-s+1&&d[tree[num<<1].t]==d[tree[(num<<1)+1].s]) tree[num].lnum+=tree[(num<<1)+1].lnum; tree[num].rnum=tree[(num<<1)+1].rnum; if(tree[(num<<1)+1].rnum==t-mid&&d[tree[(num<<1)+1].s]==d[tree[num<<1].t]) tree[num].rnum+=tree[num<<1].rnum;}int find1(int a,int b,int num){ if(a==tree[num].s&&tree[num].t==b) return tree[num].mnum; int mid=(tree[num].s+tree[num].t)>>1; if(a>mid) return find1(a,b,(num<<1)+1); else if(b<=mid) return find1(a,b,num<<1); else { int l=find1(a,mid,num<<1); int r=find1(mid+1,b,(num<<1)+1); int a3=0; if(d[tree[num*2].t]==d[tree[num*2+1].s]) a3=min(tree[num*2].rnum,mid-a+1)+min(tree[num*2+1].lnum,b-mid); return max(max(l,r),a3); }}int main(){ //freopen("in.txt","r",stdin); int a,b; while(cin>>N) { if(!N) break; cin>>Q; for(int i=1; i<=N; i++) scanf("%d",&d[i]); build(1,N,1); for(int i=0; i<Q; i++) { scanf("%d%d",&a,&b); cout<<find1(a,b,1)<<endl; } } return 0;}
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