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< p > You are given an < code > m x n< / code > matrix of characters < code > box< / code > representing a side-view of a box. Each cell of the box is one of the following:< / p >
< ul >
< li > A stone < code > ' #' < / code > < / li >
< li > A stationary obstacle < code > ' *' < / code > < / li >
< li > Empty < code > ' .' < / code > < / li >
< / ul >
< p > The box is rotated < strong > 90 degrees clockwise< / strong > , causing some of the stones to fall due to gravity. Each stone falls down until it lands on an obstacle, another stone, or the bottom of the box. Gravity < strong > does not< / strong > affect the obstacles' positions, and the inertia from the box' s rotation < strong > does not < / strong > affect the stones' horizontal positions.< / p >
< p > It is < strong > guaranteed< / strong > that each stone in < code > box< / code > rests on an obstacle, another stone, or the bottom of the box.< / p >
< p > Return < em > an < / em > < code > n x m< / code > < em > matrix representing the box after the rotation described above< / em > .< / p >
< p > < / p >
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< p > < strong class = "example" > Example 1:< / strong > < / p >
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< p > < img alt = "" src = "https://assets.leetcode.com/uploads/2021/04/08/rotatingtheboxleetcodewithstones.png" style = "width: 300px; height: 150px;" / > < / p >
< pre >
< strong > Input:< / strong > box = [[" #" ," ." ," #" ]]
< strong > Output:< / strong > [[" ." ],
[" #" ],
[" #" ]]
< / pre >
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< p > < strong class = "example" > Example 2:< / strong > < / p >
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< p > < img alt = "" src = "https://assets.leetcode.com/uploads/2021/04/08/rotatingtheboxleetcode2withstones.png" style = "width: 375px; height: 195px;" / > < / p >
< pre >
< strong > Input:< / strong > box = [[" #" ," ." ," *" ," ." ],
[" #" ," #" ," *" ," ." ]]
< strong > Output:< / strong > [[" #" ," ." ],
[" #" ," #" ],
[" *" ," *" ],
[" ." ," ." ]]
< / pre >
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< p > < strong class = "example" > Example 3:< / strong > < / p >
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< p > < img alt = "" src = "https://assets.leetcode.com/uploads/2021/04/08/rotatingtheboxleetcode3withstone.png" style = "width: 400px; height: 218px;" / > < / p >
< pre >
< strong > Input:< / strong > box = [[" #" ," #" ," *" ," ." ," *" ," ." ],
[" #" ," #" ," #" ," *" ," ." ," ." ],
[" #" ," #" ," #" ," ." ," #" ," ." ]]
< strong > Output:< / strong > [[" ." ," #" ," #" ],
[" ." ," #" ," #" ],
[" #" ," #" ," *" ],
[" #" ," *" ," ." ],
[" #" ," ." ," *" ],
[" #" ," ." ," ." ]]
< / pre >
< p > < / p >
< p > < strong > Constraints:< / strong > < / p >
< ul >
< li > < code > m == box.length< / code > < / li >
< li > < code > n == box[i].length< / code > < / li >
< li > < code > 1 < = m, n < = 500< / code > < / li >
< li > < code > box[i][j]< / code > is either < code > ' #' < / code > , < code > ' *' < / code > , or < code > ' .' < / code > .< / li >
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< / ul >
