LeetCode Largest Rectangle in Histogram(単調スタック)
1158 ワード
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 =
The largest rectangle is shown in the shaded area, which has area =
For example, Given height =
return
ヒストグラムの中で最大面積の矩形を求めます.
構想:単調スタックの応用.単調に増加するスタックを維持して、ネット上で書いたのは回転することができます:問題解
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
. ヒストグラムの中で最大面積の矩形を求めます.
構想:単調スタックの応用.単調に増加するスタックを維持して、ネット上で書いたのは回転することができます:問題解
public class Solution {
public int largestRectangleArea(int[] height) {
Stack stack = new Stack();
int i = 0;
int ans = 0;
int h[] = new int[height.length+1];
h = Arrays.copyOf(height, height.length+1);
while (i < h.length) {
if (stack.isEmpty() || h[stack.peek()] <= h[i])
stack.push(i++);
else {
int t = stack.pop();
ans = Math.max(ans, h[t] * (stack.isEmpty() ? i : i - stack.peek() - 1));
}
}
return ans;
}
}