POJ 2559 Largest Rectangle in a Histogram
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 18942 | Accepted: 6083 |
Description
Usually, histograms are used to represent discrete distributions, e.g., the frequencies of characters in texts. Note that the order of the rectangles, i.e., their heights, is important. Calculate the area of the largest rectangle in a histogram that is aligned at the common base line, too. The figure on the right shows the largest aligned rectangle for the depicted histogram.
Input
Output
Sample Input
7 2 1 4 5 1 3 3
4 1000 1000 1000 1000
0
Sample Output
8
4000
Hint
Source
刚开始竟然没有注意到区间长度的累计,各种算错。
维护一个单增的单调栈,每步更新区间长度和答案即可。
/*by SilverN*/
#include<iostream>
#include<algorithm>
#include<cstring>
#include<cstdio>
#include<cmath>
using namespace std;
const int mxn=;
struct stk{
long long h,p;
}st[mxn];
int top;
int n;
long long ans;
int main(){
while(scanf("%d",&n) && n){
ans=;
int i,j;
int num;
for(i=;i<=n+;i++){
if(i>n)num=;//数据读完后清栈
else scanf("%I64d",&num);
if(num>=st[top].h) st[++top].h=num,st[top].p=;//计算新区间
else{
int len=;
while(top && num<=st[top].h){
len+=st[top].p;
ans=max(ans,len*st[top].h);
top--;
}
st[++top].p=len+;//累计长度
st[top].h=num;//更新高度
}
}
printf("%I64d\n",ans);
}
return ;
}
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