5. How would you modify the dynamic programming algorithm for the coin- collecting problem if some cells on the board are inaccessible for the robot? Apply your algorithm to the board below, where the inaccessible cells are shown by X's. How many optimal paths are there for this board?

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
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n = 9.
sign and Analysis of Algorithms (3rd ed.) [Levitin 2011-10-09].pdf ✓
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zoom O
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5. How would you modify the dynamic programming algorithm for the coin-
collecting problem if some cells on the board are inaccessible for the robot?
Apply your algorithm to the board below, where the inaccessible cells are
shown by X's. How many optimal paths are there for this board?
1
3
4
5
6
8.1 Three Basic Examples
2
X
O
5 XXX
2
O
Xo
X
O
Search
Fri May 12
291
6. Rod-cutting problem
Design a dynamic programming algorithm for the fol-
lowing problem. Find the maximum total sale price that can be obtained by
cutting a rod of n units long into integer-length pieces if the sale price of a piece
i units long is p; for i = 1, 2, ..., n. What are the time and space efficiencies
of your algorithm?
7. Shortest-path counting A chess rook can move horizontally or vertically to
any square in the same row or in the same column of a chessboard. Find the
number of shortest paths by which a rook can move from one corner of a
Transcribed Image Text:n = 9. sign and Analysis of Algorithms (3rd ed.) [Levitin 2011-10-09].pdf ✓ 1 2 3 zoom O 4 O 5. How would you modify the dynamic programming algorithm for the coin- collecting problem if some cells on the board are inaccessible for the robot? Apply your algorithm to the board below, where the inaccessible cells are shown by X's. How many optimal paths are there for this board? 1 3 4 5 6 8.1 Three Basic Examples 2 X O 5 XXX 2 O Xo X O Search Fri May 12 291 6. Rod-cutting problem Design a dynamic programming algorithm for the fol- lowing problem. Find the maximum total sale price that can be obtained by cutting a rod of n units long into integer-length pieces if the sale price of a piece i units long is p; for i = 1, 2, ..., n. What are the time and space efficiencies of your algorithm? 7. Shortest-path counting A chess rook can move horizontally or vertically to any square in the same row or in the same column of a chessboard. Find the number of shortest paths by which a rook can move from one corner of a
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