Python code!Use np.insert and np.delete can help update t, y, c and d 1. input a, b, c, M2. toa; t₁b; yo ← ƒ (to); y₁ ← f (t₁)3. call MAX (f, to, t₁, C₁, di)4. for n = 1,2,..., M - 1 doA.B.C.select i so that d; = max {d₁, d₂, ..., dn}if die exit loopfor j = n, n-1,...,i + 1 doa. tj+1 + tjb.C.c.d.Yj+1 Yjdj+1 dj-Cj+1 ← Cj+D. endE. ti+1 ←tįF. Yi+1 ← YiG. ti ← CiH. Yi ← f (C₂)I. call MAX (f, ti-1, ti, Ci, di)J. call MAX (f, ti, ti+1, Ci+1, di+1)5. end6. output n, (to, t₁,..., tn), (Yo, Y₁, ..., Yn), (d₁, d2, ..., dn)

Here's the Python code implementing the algorithm you described:

1. input a, b, c, M 2. to ← a; t₁ ←b; yo ← ƒ (to) ; Y₁ ← ƒ (t₁) 3. call MAX (f, to, t₁, C₁, di) 4. for n=1,2,..., M - 1 do A. B. C. select į so that di = max {d₁, d₂, ..., dn} if di ≤ & exit loop for j = n, n-1,...,i +1 do a. tj+1+tj b. yj+1+Yj dj+1 +d; Cj+1+Cj C. d. D. end E. ti+1+ti F. Yi+1+Yi G. ti ← Ci H. Yi + f (C₁) I. call MAX (f, ti-1, ti, Ci, di) J. call MAX (f, ti, ti+1, Ci+1, di+1) 5. end 6. output n, (to, t₁, . . . , tn), (yo, Y₁, . . . , Yn), (d₁, d2, ..., dn)

1. input a, b, c, M 2. to ← a; t₁ ←b; yo ← ƒ (to) ; Y₁ ← ƒ (t₁) 3. call MAX (f, to, t₁, C₁, di) 4. for n=1,2,..., M - 1 do A. B. C. select į so that di = max {d₁, d₂, ..., dn} if di ≤ & exit loop for j = n, n-1,...,i +1 do a. tj+1+tj b. yj+1+Yj dj+1 +d; Cj+1+Cj C. d. D. end E. ti+1+ti F. Yi+1+Yi G. ti ← Ci H. Yi + f (C₁) I. call MAX (f, ti-1, ti, Ci, di) J. call MAX (f, ti, ti+1, Ci+1, di+1) 5. end 6. output n, (to, t₁, . . . , tn), (yo, Y₁, . . . , Yn), (d₁, d2, ..., dn)

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter4: Selection Structures

Section: Chapter Questions

Problem 14PP

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