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GATE Overflow | Algorithms | Test 1 | Question: 16

Bikram asked in Algorithms Oct 4, 2016

334 views

2 votes

2 votes

The Matrix Chain-Product dynamic programming Algorithm runs in _______

linear time
exponential time
quadratic time
cubic time

go-alogrithms-1
algorithms
dynamic-programming
time-complexity

Bikram asked in Algorithms Oct 4, 2016

by Bikram

334 views

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1 Answer

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Best answer

its:

Time Complexity: O(n^3)
Auxiliary Space: O(n^2)

http://www.geeksforgeeks.org/dynamic-programming-set-8-matrix-chain-multiplication/

cse23 answered Oct 15, 2016 selected Oct 15, 2016 by Arjun

by cse23

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GATE Overflow | Algorithms | Test 1 | Question: 20
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GATE Overflow | Algorithms | Test 1 | Question: 12
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GATE Overflow | Algorithms | Test 1 | Question: 9
Let we have 3 steps of an arbitrary program fragment whose running times are $O(n^2), \: O(n^3)$ and $O(n\log n)$, then the running time of whole program is $O(n^3)$ $\Omega(n^3)$ $\Omega(n \log n)$ $\Theta(n^6 \log n)$

Bikram asked in Algorithms Oct 4, 2016

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Bikram asked in Algorithms Oct 4, 2016

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GATE Overflow | Algorithms | Test 1 | Question: 6
The time complexity of calculating $2^{100}$ is Polynomial Exponential Constant Linear

Bikram asked in Algorithms Oct 4, 2016

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406 views

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