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Maximum_Rectangular_Area_in_a_Histogram.cpp
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Maximum_Rectangular_Area_in_a_Histogram.cpp
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#include<iostream>
using namespace std;
long long int a[1000001],sm1[1000001],sm2[1000001];
int main() {
int t,n;
long long int max=-1,area;
cin>>t;
while(t--)
{
max=-1;
area=0;
cin>>n;
memset(sm1,-1, sizeof(sm1));
memset(sm2,-1,sizeof(sm2));
for(int i=0;i<n;i++)
{
cin>>a[i];
}
s1.push(0);
s2.push(n-1);
for(int i=1;i<n;i++)
{
if(a[s1.top()]>a[i])
{
while(!s1.empty()&&a[s1.top()]>a[i])
{
sm1[s1.top()]=i-1;
s1.pop();
}
}
s1.push(i);
}
for(int i=n-2;i>=0;i--)
{
if(a[s2.top()]>a[i])
{
while(!s2.empty()&&a[s2.top()]>a[i])
{
sm2[s2.top()]=i+1;
s2.pop();
}
}
s2.push(i);
}
for(int i=0;i<n;i++)
{
if(sm1[i]==-1)
sm1[i]=n-1;
if(sm2[i]==-1)
sm2[i]=0;
}
for(int i=0;i<n;i++)
{
area=(sm1[i]-sm2[i]+1)*a[i];
if(max<area)
max=area;
}
while(!s1.empty())
{
s1.pop();
}
while(!s2.empty())
{
s2.pop();
}
cout<<max<<endl;
}
return 0;
}