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# 85. Maximal Rectangle

## Description

Given a `rows x cols`

binary `matrix`

filled with `0`

's and `1`

's, find the largest rectangle containing only `1`

's and return *its area*.

**Example 1:**

Input:matrix = [["1","0","1","0","0"],["1","0","1","1","1"],["1","1","1","1","1"],["1","0","0","1","0"]]Output:6Explanation:The maximal rectangle is shown in the above picture.

**Example 2:**

Input:matrix = []Output:0

**Example 3:**

Input:matrix = [["0"]]Output:0

**Example 4:**

Input:matrix = [["1"]]Output:1

**Example 5:**

Input:matrix = [["0","0"]]Output:0

**Constraints:**

`rows == matrix.length`

`cols == matrix.length`

`0 <= row, cols <= 200`

`matrix[i][j]`

is`'0'`

or`'1'`

.