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Given n non-negative integers representing the histogram‘s bar height where the width of each bar is 1, find the area of largest rectangle in the histogram.
Above is a histogram where width of each bar is 1, given height = [2,1,5,6,2,3].
The largest rectangle is shown in the shaded area, which has area = 10 unit.
For example,
Given height = [2,1,5,6,2,3],
return 10.
别人家的巧妙的代码：每次都维护一个递增的栈 比较栈顶与当前元素。如果当前元素小于栈顶元素，则入栈，否则合并现有栈，直至栈顶元素小于当前元素。结尾时
入栈元素为0,重复合并一次。
1 class Solution { 2 public: 3 int largestRectangleArea(vector<int>& height) { 4 5 stack<int> s; 6 7 int result=0; 8 height.push_back(0); 9 10 for(int i=0;i<height.size();i++) 11 { 12 if(s.empty()||height[s.top()]<height[i]) 13 s.push(i); 14 else{ 15 16 int index = s.top(); 17 s.pop(); 18 int width = s.empty() ? i : (i-s.top()-1); 19 result = max(result,height[index] * width); 20 i--; 21 22 } 23 } 24 return result; 25 26 } 27 };
LeetCode:Largest Rectangle in Histogram（update）
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原文地址：http://www.cnblogs.com/xiaoying1245970347/p/4705087.html
