Monday, April 15, 2013

Largest rectangle in Histogram (C++ code)

LeetCode Largest Rectangle in Histogram, Apr 23 '12
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.

思路:这题太tricky了,看了别人的code还不懂,跑了几个test cases才明白的:(

 from luckynoob: http://www.mitbbs.com/article/JobHunting/32272665_0.html

int largestRectArea(vector<int> &h) {
        stack<int> p;
        int i = 0, m = 0;
        h.push_back(0);
        while(i < h.size()) {
            if(p.empty() || h[p.top()] <= h[i])
                p.push(i++);
            else {
                int t = p.top();
                p.pop();
                m = max(m, h[t] * (p.empty() ? i : i - p.top() - 1 ));
            }
        }
        return m;
    }

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