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Calculate the time complexity of an algorithm

Can you please explain to me what is the execution time T(n) of the 3 algorithms?

Algorithm 1:

y ← 0
j ← n
while j >= 1 do {
k ← 0
while k < n*n do {
y ← y + j - k
k ← k + 1
}
j ← j - 1
}
return y

Algorithm 2:

for i ← 1 to n do
for j ← 1 to i do
for k ← j to i+j do
a ← a + 1
end for
end for
end for


Algorithm 3:

for i ← 1 to m do
for j ← 1 to i2 do
for k ← 1 to j do
b ← b + 1
end for
end for
end for
Jan 10 '10 #1
2 4439
I think the the calculation for alogrithm 3 and 4 are similar;
d=(n * i * (i+j) )* c assuming c is some constant value for increment operation
I guess they should fall under O(d)

P.S: I am not sure about it
Jan 11 '10 #2
RedSon
5,000 Expert 4TB
The experts on this site are more than happy to help you with your problems but they cannot do your assignment/program for you. Attempt the assignment/program yourself first and post questions regarding any difficulties you have or about a particular function of the code that you don't know how to achieve.

Please read the Posting Guidelines and particularly the Coursework Posting Guidelines.

Then when you are ready post a new question in this thread.

MODERATOR
Jan 11 '10 #3

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