Package g2501_2600.s2579_count_total_number_of_colored_cells

Class Solution

java.lang.Object
g2501_2600.s2579_count_total_number_of_colored_cells.Solution
public class Solution extends java.lang.Object
2579 - Count Total Number of Colored Cells.

Medium

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:

  • At the first minute, color any arbitrary unit cell blue.
  • Every minute thereafter, color blue every uncolored cell that touches a blue cell.

Below is a pictorial representation of the state of the grid after minutes 1, 2, and 3.

Return the number of colored cells at the end of n minutes.

Example 1:

Input: n = 1

Output: 1

Explanation: After 1 minute, there is only 1 blue cell, so we return 1.

Example 2:

Input: n = 2

Output: 5

Explanation: After 2 minutes, there are 4 colored cells on the boundary and 1 in the center, so we return 5.

Constraints:

  • 1 <= n <= 105

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    long
    coloredCells(int n)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • coloredCells

      public long coloredCells(int n)