Domino and Tromino Tiling

Category

DP - 1D

Checkbox

Difficulty

Medium

Index

Key Ideas

The key idea to solve this problem is to use dynamic programming to calculate the number of ways to tile a given area using dominos and trominos.

Problem Number

790

Problem Summary

The problem "Domino and Tromino Tiling" (Problem Number: 790) falls under the category of Dynamic Programming. It involves finding the number of ways to tile a 2 x N board using dominos and trominos. A key pitfall in this problem is considering all possible tile configurations and avoiding overlapping subproblems while calculating the total number of tilings.

Solution Summary

The best solution to solve the given problem in LeetCode-75 curated list involves using dynamic programming. The problem involves domino and tromino tiling. The key idea is to define a state and recurrence relation to solve the problem efficiently. By breaking down the problem into smaller subproblems and utilizing memoization, we can compute the number of ways to tile a given grid. The implementation typically involves using a 2D array to store intermediate results and iterating through the grid to fill in the array. The time complexity of the solution is O(n), where n is the size of the grid.