There exists an infinitely large two-dimensional grid of uncolored unit cells. You are given a positive integer n, indicating that you must do the following routine for n minutes:
Below is a pictorial representation of the state of the grid after minutes 1, 2, and 3.
\n![\"\"](\"https://assets.leetcode.com/uploads/2023/01/10/example-copy-2.png\")
\nReturn the number of colored cells at the end of n minutes.
\n
Example 1:
\n\n\nInput: n = 1\nOutput: 1\nExplanation: After 1 minute, there is only 1 blue cell, so we return 1.\n\n\n
Example 2:
\n\n\nInput: n = 2\nOutput: 5\nExplanation: After 2 minutes, there are 4 colored cells on the boundary and 1 in the center, so we return 5. \n\n\n
\n
Constraints:
\n\n1 <= n <= 105Compiled with clang 11 using the latest C++ 17 standard.
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Most standard library headers are already included automatically for your convenience.
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