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]
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The largest rectangle is shown in the shaded area, which has area =
10
unit.
For example,
Given height =
return
Given height =
[2,1,5,6,2,3]
,return
10
.
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