GSS1 - Can you answer these queries I
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You are given a sequence A[1], A[2], ..., A[N] . ( |A[i]| ≤ 15007 , 1 ≤ N ≤ 50000 ). A query is defined as follows:
Query(x,y) = Max { a[i]+a[i+1]+...+a[j] ; x ≤ i ≤ j ≤ y }.
Given M queries, your program must output the results of these queries.
Query(x,y) = Max { a[i]+a[i+1]+...+a[j] ; x ≤ i ≤ j ≤ y }.
Given M queries, your program must output the results of these queries.
Input
- The first line of the input file contains the integer N.
- In the second line, N numbers follow.
- The third line contains the integer M.
- M lines follow, where line i contains 2 numbers xi and yi.
Output
- Your program should output the results of the M queries, one query per line.
Example
Input: 3 -1 2 3 1 1 2 Output: 2
####################################CODE########################################################
#include<iostream>
using namespace std;
typedef long long int lli;
lli qs,qe;
lli arr[5000100];
#include<bits/stdc++.h>
long long int read_int(){
char r;
bool start=false,neg=false;
long long int ret=0;
while(true){
r=getchar();
if((r-'0'<0 || r-'0'>9) && r!='-' && !start){
continue;
}
if((r-'0'<0 || r-'0'>9) && r!='-' && start){
break;
}
if(start)ret*=10;
start=true;
if(r=='-')neg=true;
else ret+=r-'0';
}
if(!neg)
return ret;
else
return -ret;
}
struct node
{
lli pf,sf,max_sum,tot_sum;
} seg[1000100];
void build(int index ,int start,int end)
{
if(start==end)
{
seg[index].pf=arr[start];
seg[index].sf=arr[start];
seg[index].max_sum=arr[start];
seg[index].tot_sum=arr[start];
}
else if(start>end) return ;
else
{
build(2*index,start,(start+end)/2);
build(2*index+1,(start+end)/2+1,end);
seg[index].pf=max(seg[2*index].pf,seg[2*index].tot_sum+seg[2*index+1].pf);
seg[index].sf=max(seg[2*index+1].sf,seg[2*index+1].tot_sum+seg[2*index].sf);
seg[index].tot_sum=seg[2*index].tot_sum+seg[2*index+1].tot_sum;
seg[index].max_sum=max(seg[2*index].max_sum,max(seg[2*index+1].max_sum,seg[2*index].sf+seg[2*index+1].pf));
}
}
node query(int index ,int start,int end)
{
if(start>end || start>qe || end<qs)
{
node inf;
inf.pf=-999999999;
inf.sf=-999999999;
inf.max_sum=-999999999;
inf.tot_sum=-999999999;
return inf;
}
else if(qs<=start && qe>=end)
{
return seg[index];
}
node node1= query(2*index,start,(start+end)/2);
node node2= query(2*index+1,(start+end)/2+1,end);
node rnode;
rnode.pf=max(node1.pf,node1.tot_sum+node2.pf);
rnode.sf=max(node2.sf,node2.tot_sum+node1.sf);
rnode.tot_sum=node1.tot_sum+node2.tot_sum;
rnode.max_sum=max(node1.max_sum,max(node2.max_sum,node1.sf+node2.pf));
return rnode;
}
int main()
{
int n;
cin>>n;
for(int i=0;i<n;i++)
arr[i]=read_int();
build(1,0,n-1);
/* for(int i=1;i<2*n+10;i++)
cout<<i<<" "<<seg[i].tot_sum<<" "<<seg[i].pf<<" "<<seg[i].sf<<" "<<seg[i].max_sum<<endl;*/
lli q;
// cin>>q;
q=read_int();
while(q--)
{
//cin>>qs>>qe;
qs=read_int();
qe=read_int();
qs-=1;
qe-=1;
node ans=query(1,0,n-1);
//cout<<ans.max_sum<<endl;
printf("%lld\n",ans.max_sum);
}
return 0;
}
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