True or false. to solve the integrl knapsack problem using dynamic programing. if we modify this procedure by filling the array row by row to collumn by collumn as follow(lines 2-6 have been modified) it will still be able to generate array v correctly. To solve the Integral Knapsack problem using dynamic programming, we discussedthe DP-0-1-Knapsack procedure for generating a DP table (array V). If we modifythis procedure by changing the order of filling the array row-by-row to column-by-column as follows (lines 2-6 have been modified), it will still be able to generate arrayV correctly.DP-0-1-Knapsack (W, w, v, n)let V[0..n, 0..w] be anew array2for i0 to n%3D3V[i, 0] = 04for j= 1 to WV[0, j] = 06for i =1 to n7if w[i] < j and v[i] + V[i - 1, j - w[i]] > V[i -1, j]8V[i, j]= v[i] + V[i- 1, jw[i]]else V[i, j]V[i1, j]%3D10 return VTrueFalse

To fill dp table we only need first row and first column and set to 0, and and in above same is…

Answered: to solve the integrl knapsack problem…

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

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True or false. to solve the integrl knapsack problem using dynamic programing. if we modify this procedure by filling the array row by row to collumn by collumn as follow(lines 2-6 have been modified) it will still be able to generate array v correctly.

To solve the Integral Knapsack problem using dynamic programming, we discussed
the DP-0-1-Knapsack procedure for generating a DP table (array V). If we modify
this procedure by changing the order of filling the array row-by-row to column-by-
column as follows (lines 2-6 have been modified), it will still be able to generate array
V correctly.
DP-0-1-Knapsack (W, w, v, n)
let V[0..n, 0..w] be a
new array
2
for i
0 to n
%3D
3
V[i, 0] = 0
4
for j
= 1 to W
V[0, j] = 0
6
for i =
1 to n
7
if w[i] < j and v[i] + V[i - 1, j - w[i]] > V[i -
1, j]
8
V[i, j]
= v[i] + V[i
- 1, j
w[i]]
else V[i, j]
V[i
1, j]
%3D
10 return V
True
False

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