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This is a memoized version which uses a global array Q to store the results of computations. Memoization is useful to improve the running time from exponential to polynomial in dynamic programming. Algorithm below // Q is a large array of integers // initialized to -1 for (i=0; i< length[Q]; i++){          Q[i] = -1; } int Q-Optimal(int n) { print (Calling Q-Optimal with argument n); if (n = 0 or n=1) {     Q[n] = n;     return 1;     } if (Q[n] != -1 ) {    return Q[n]; } return (Q[n] = max (Q-Optimal(n-1), 1+Q-Optimal(n-2) ) ); } Question: If P(n) is the number of lines printed by Q-Optimal(n), write an explicit formula for P(n). Provide a detailed explanation why your formula is true.

This is a memoized version which uses a global array Q to store the results of computations. Memoization is useful to improve the running time from exponential to polynomial in dynamic programming. Algorithm below // Q is a large array of integers // initialized to -1 for (i=0; i< length[Q]; i++){          Q[i] = -1; } int Q-Optimal(int n) { print (Calling Q-Optimal with argument n); if (n = 0 or n=1) {     Q[n] = n;     return 1;     } if (Q[n] != -1 ) {    return Q[n]; } return (Q[n] = max (Q-Optimal(n-1), 1+Q-Optimal(n-2) ) ); } Question: If P(n) is the number of lines printed by Q-Optimal(n), write an explicit formula for P(n). Provide a detailed explanation why your formula is true.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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This is a memoized version which uses a global array Q to store the results of computations. Memoization is useful to improve the running time from exponential to polynomial in dynamic programming.

Algorithm below

// Q is a large array of integers

// initialized to -1

for (i=0; i< length[Q]; i++){

         Q[i] = -1;

}

int Q-Optimal(int n) {

print (Calling Q-Optimal with argument n);

if (n = 0 or n=1) {

    Q[n] = n;

    return 1;

    }

if (Q[n] != -1 ) {

   return Q[n];

}

return (Q[n] = max (Q-Optimal(n-1), 1+Q-Optimal(n-2) ) );

}


Question: If P(n) is the number of lines printed by Q-Optimal(n), write an explicit formula for P(n). Provide a detailed explanation why your formula is true.

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