Largest Rectangle in Histogram
问题描述: 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.
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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.
参考答案:
class Solution {
public:
int largestRectangleArea(vector& heights) {
stack s;
int i = 0;
int maxarea = 0;
while (i < heights.size()) {
if (s.empty() || heights[i] >= heights[s.top()])
s.push(i++);
else {
int h = heights[s.top()];
s.pop();
int w = s.empty() ? i : i-s.top()-1;
maxarea = max(maxarea, h*w);
}
}while (!s.empty()) {
int h = heights[s.top()];
s.pop();
int w = s.empty() ? i : i-s.top()-1;
maxarea = max(maxarea, h*w);
}return maxarea;
}
};
性能: 【LeetCode|84.直方图中最大矩阵】
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