Top Puzzle 16: The Two-Dimensional Grid Puzzle | Puzzles for Interview - Interview Preparation PDF Download

Problem Statement

The Two-Dimensional Grid Puzzle is a mathematical puzzle that involves filling a 10x10 grid with numbers from 1 to 100. The puzzle has certain rules that must be followed for a valid solution. Each row and column must have every number from 1 to 100 exactly once, and each of the 100 2x2 squares within the grid must contain four different numbers.

Solution

To solve The Two-Dimensional Grid Puzzle, one must approach it methodically. First, fill in the diagonal with numbers 1 to 10, then 11 to 20, and so on until the last diagonal is filled with numbers 91 to 100. This ensures that each row and column has every number from 1 to 100 exactly once. Then, fill in the 2x2 squares within the grid, making sure that each square contains four different numbers. This can be done by using a process of elimination, filling in the squares one by one until the entire grid is filled.

Conclusion

The Two-Dimensional Grid Puzzle is a challenging mathematical puzzle that requires a logical and methodical approach to solve. By following the rules of the puzzle and filling in the grid systematically, a valid solution can be found. The puzzle is a great exercise in problem-solving and can help improve one's logical thinking skills.