# Get Biggest Three Rhombus Sums in a Grid solution leetcode

## Get Biggest Three Rhombus Sums in a Grid solution leetcode

You are given an `m x n` integer matrix `grid`​​​.

rhombus sum is the sum of the elements that form the border of a regular rhombus shape in `grid`​​​. The rhombus must have the shape of a square rotated 45 degrees with each of the corners centered in a grid cell. Below is an image of four valid rhombus shapes with the corresponding colored cells that should be included in each rhombus sum:

Note that the rhombus can have an area of 0, which is depicted by the purple rhombus in the bottom right corner.

Return the biggest three distinct rhombus sums in the `grid` in descending order. If there are less than three distinct values, return all of them.

Get Biggest Three Rhombus Sums in a Grid solution leetcode

Example 1: Get Biggest Three Rhombus Sums in a Grid solution leetcode

```Input: grid = [[3,4,5,1,3],[3,3,4,2,3],[20,30,200,40,10],[1,5,5,4,1],[4,3,2,2,5]]
Output: [228,216,211]
Explanation: The rhombus shapes for the three biggest distinct rhombus sums are depicted above.
- Blue: 20 + 3 + 200 + 5 = 228
- Red: 200 + 2 + 10 + 4 = 216
- Green: 5 + 200 + 4 + 2 = 211
```

Example 2: Get Biggest Three Rhombus Sums in a Grid solution leetcode

```Input: grid = [[1,2,3],[4,5,6],[7,8,9]]
Output: [20,9,8]
Explanation: The rhombus shapes for the three biggest distinct rhombus sums are depicted above.
- Blue: 4 + 2 + 6 + 8 = 20
- Red: 9 (area 0 rhombus in the bottom right corner)
- Green: 8 (area 0 rhombus in the bottom middle)
```

Example 3: Get Biggest Three Rhombus Sums in a Grid solution leetcode

```Input: grid = [[7,7,7]]
Output: [7]
Explanation: All three possible rhombus sums are the same, so return [7].
```

Get Biggest Three Rhombus Sums in a Grid solution leetcode

Constraints:

• `m == grid.length`
• `n == grid[i].length`
• `1 <= m, n <= 100`
• `1 <= grid[i][j] <= 105`

# SOLUTION

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