6.11. Given two strings x = rị¤2· ··Xn and y = y142 · ·· ym, we wish to find the length of their longestcommon subsequence, that is, the largest k for which there are indices i, < iz < ·…. < ix andji < j2 < • ··< İk with xi, Xiz ·· Pi, = y;,Yjz * * · Y j, · Show how to do this in time O(mn).WDOOF4F6F7F8F9%&*56789RYUGHJKVBNMV 6.17. Given an unlimited supply of coins of denominations r1,x2,..., n, we wish to make change fora value v; that is, we wish to find a set of coins whose total value is v. This might not be possible:for instance, if the denominations are 5 and 10 then we cạn make change for 15 but not for 12.Give an O(nv) dynamic-programming algorithm for the following problem.Input: 11,..,IniV.Question: Is it possible to make change for v using coins of denominations r1,...,r,?POODDF4F7F8F9F5F6$&*45678RYUFGHJKVВNV

Given two questions are not interlinked. As per our guidelines, only one will be answered. So,…

Given two strings r = x1x2··· In and y = common subsequence, that is, the largest k for which there are indices i, < iz < ... < iz and i < j2 < •< jk with z¡, Iiz ·*· Y142 Ym, we wish to find the length of their longest Ii = Y, Yj2yj Show how to do this in time O(mn). ... %3D ... ...

Given two strings r = x1x2··· In and y = common subsequence, that is, the largest k for which there are indices i, < iz < ... < iz and i < j2 < •< jk with z¡, Iiz ·*· Y142 Ym, we wish to find the length of their longest Ii = Y, Yj2yj Show how to do this in time O(mn). ... %3D ... ...

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.

Question

6.11. Given two strings x = rị¤2· ··Xn and y = y142 · ·· ym, we wish to find the length of their longest
common subsequence, that is, the largest k for which there are indices i, < iz < ·…. < ix and
ji < j2 < • ··< İk with xi, Xiz ·· Pi, = y;,Yjz * * · Y j, · Show how to do this in time O(mn).
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9
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6.17. Given an unlimited supply of coins of denominations r1,x2,..., n, we wish to make change for
a value v; that is, we wish to find a set of coins whose total value is v. This might not be possible:
for instance, if the denominations are 5 and 10 then we cạn make change for 15 but not for 12.
Give an O(nv) dynamic-programming algorithm for the following problem.
Input: 11,..,IniV.
Question: Is it possible to make change for v using coins of denominations r1,...,r,?
PO
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