How to Solve Fill a Special Grid Problem
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Fill a Special Grid
You are given a non-negative integer n representing a 2n x 2n grid. You must fill the grid with integers from 0 to 22n - 1 to make it special. A grid is special if it satisfies all the following condi...
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Understanding the Fill a Special Grid Problem
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Problem Statement
You are given a non-negative integer n representing a 2n x 2n grid. You must fill the grid with integers from 0 to 22n - 1 to make it special. A grid is special if it satisfies all the following conditions: All numbers in the top-right quadrant are smaller than those in the bottom-right quadrant. All numbers in the bottom-right quadrant are smaller than those in the bottom-left quadrant. All numbers in the bottom-left quadrant are smaller than those in the top-left quadrant. Each of its quadrants is also a special grid. Return the special 2n x 2n grid. Note: Any 1x1 grid is special.
Fill a Special Grid
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Examples
n = 0[[0]]The only number that can be placed is 0, and there is only one possible position in the grid.
n = 1[[3,0],[2,1]]The numbers in each quadrant are: Top-right: 0 Bottom-right: 1 Bottom-left: 2 Top-left: 3 Since 0 < 1 < 2 < 3, this satisfies the given constraints.
n = 2[[15,12,3,0],[14,13,2,1],[11,8,7,4],[10,9,6,5]]The numbers in each quadrant are: Top-right: 3, 0, 2, 1 Bottom-right: 7, 4, 6, 5 Bottom-left: 11, 8, 10, 9 Top-left: 15, 12, 14, 13 max(3, 0, 2, 1) < min(7, 4, 6, 5) max(7, 4, 6, 5) < min(11, 8, 10, 9) max(11, 8, 10, 9) < min(15, 12, 14, 13) This satisfies the first three requirements. Additionally, each quadrant is also a special grid. Thus, this is a special grid.
Constraints
0 <= n <= 10How Interview Coder Helps with Leetcode Problems
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