Matt is working on his coin collection. He has a list Y of p mint-years and m coin types that are needed, and plans to find them in the "take a coin, leave a coin" trays in local stores. Matt's list has p years and for year k he needs Y coins of type i to complete his collection. There aren trays in town t,...t, where tray t; contains t; i-type coins. As not to upset the cashier, Matt can take at most 5% of the coins from a given tray. A) Describe how Ford Fulkerson could be applied to determine if Matt will be able to complete his collection. B) Prove correctness of algorithm supplied in part A C) Give the runtime complexity of the algorithm supplied in part A
Matt is working on his coin collection. He has a list Y of p mint-years and m coin types that are needed, and plans to find them in the "take a coin, leave a coin" trays in local stores. Matt's list has p years and for year k he needs Y coins of type i to complete his collection. There aren trays in town t,...t, where tray t; contains t; i-type coins. As not to upset the cashier, Matt can take at most 5% of the coins from a given tray. A) Describe how Ford Fulkerson could be applied to determine if Matt will be able to complete his collection. B) Prove correctness of algorithm supplied in part A C) Give the runtime complexity of the algorithm supplied in part A
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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![Matt is working on his coin collection. He has a list Y of p mint-years and m coin types that are needed,
and plans to find them in the "take a coin, leave a coin" trays in local stores. Matt's list has p years and
for year k he needs Yki coins of type i to complete his collection. There are n trays in town t,...t, where
tray t, contains t i-type coins. As not to upset the cashier, Matt can take at most 5% of the coins from a
given tray.
A) Describe how Ford Fulkerson could be applied to determine if Matt will be able to complete his
collection.
B) Prove correctness of algorithm supplied in part A
C) Give the runtime complexity of the algorithm supplied in part A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7967d051-5021-400a-8191-2a0ec9ecc559%2F223c19dd-be28-48ad-8a54-6cf415ff727d%2F3v9mzd_processed.png&w=3840&q=75)
Transcribed Image Text:Matt is working on his coin collection. He has a list Y of p mint-years and m coin types that are needed,
and plans to find them in the "take a coin, leave a coin" trays in local stores. Matt's list has p years and
for year k he needs Yki coins of type i to complete his collection. There are n trays in town t,...t, where
tray t, contains t i-type coins. As not to upset the cashier, Matt can take at most 5% of the coins from a
given tray.
A) Describe how Ford Fulkerson could be applied to determine if Matt will be able to complete his
collection.
B) Prove correctness of algorithm supplied in part A
C) Give the runtime complexity of the algorithm supplied in part A
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