Tetrominoes are tiles made of four 1×1 squares. There are five types of tetrominoes shown below:1. **Straight Tetromino**: This is a linear arrangement, forming a straight line of four squares.2. **Square Tetromino**: Arranged in a 2x2 block.3. **L-Tetromino**: Shaped like the letter "L," consisting of three squares in a row with one square added below the first square.4. **T-Tetromino**: Shaped like the letter "T," with three squares in a row and one square added below the middle square.5. **Z-Tetromino**: Arranged in a zigzag pattern, resembling the letter "Z," with two squares forming a horizontal line and the other two shifted below.**Challenge:**Is it possible to tile—i.e., cover exactly without overlaps—an 8 × 8 chessboard with:a. Straight tetrominoes? b. Square tetrominoes? c. L-tetrominoes? d. T-tetrominoes? e. Z-tetrominoes? Show the covering if possible or describe why it cannot be done if not possible.

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Tetrominoes are tiles made of four 1×1 squares. There are five types of tetrominoes shown below: straight tetromino square tetromino L-tetromino T-tetromino Is it possible to tile-i.e., cover exactly without overlaps-an 8 x 8 chessboard with a. straight tetrominoes? b. square tetrominoes? c. L-tetrominoes? d. T-tetrominoes? e. Z-tetrominoes? Z-tetromino

Tetrominoes are tiles made of four 1×1 squares. There are five types of tetrominoes shown below: straight tetromino square tetromino L-tetromino T-tetromino Is it possible to tile-i.e., cover exactly without overlaps-an 8 x 8 chessboard with a. straight tetrominoes? b. square tetrominoes? c. L-tetrominoes? d. T-tetrominoes? e. Z-tetrominoes? Z-tetromino

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

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Tetrominoes are tiles made of four 1×1 squares. There are five types of tetrominoes shown below:

1. **Straight Tetromino**: This is a linear arrangement, forming a straight line of four squares.
2. **Square Tetromino**: Arranged in a 2x2 block.
3. **L-Tetromino**: Shaped like the letter "L," consisting of three squares in a row with one square added below the first square.
4. **T-Tetromino**: Shaped like the letter "T," with three squares in a row and one square added below the middle square.
5. **Z-Tetromino**: Arranged in a zigzag pattern, resembling the letter "Z," with two squares forming a horizontal line and the other two shifted below.

**Challenge:**

Is it possible to tile—i.e., cover exactly without overlaps—an 8 × 8 chessboard with:

a. Straight tetrominoes?
b. Square tetrominoes?
c. L-tetrominoes?
d. T-tetrominoes?
e. Z-tetrominoes?

Show the covering if possible or describe why it cannot be done if not possible.

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