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1
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1answer
321 views

provability of while loop vs for loop [closed]

I'm abit afraid to ask this question here seeing as I asked it on programmers SE already, the thing is I think the question is more about the underlying theory than the use in practice (or call it ...
0
votes
1answer
45 views

Algorithm analysis of nested loop [duplicate]

so I have this code: for (int i=1; i < n; i=i*5) for (j=i; j < n; j++) sum = i+j; And I'm wondering, what's the time complexity of this for ...
2
votes
1answer
34 views

Simplifying a nested sum

I'm trying to analyze an algorithm of a function, I can express the function in term of summation, but I have no clues on how I could simplify this summation down to get the run-time in tern of big ...
0
votes
0answers
14 views

Runtime of this loop [duplicate]

I need some advice on how to determine the runtime of this loop : s=0 for ( i=1 , i <= 2^m ; i=i*2 ) { s++ } return s With $C_1$ = actions ...
-1
votes
1answer
28 views

What is the time complexity (big O) of this nested for-loop? [duplicate]

What is the time complexity (big O) of this nested for-loop? I believe it's either O(n) or O(n^2) ...
0
votes
1answer
70 views

Finding a Hoare logic correctness proof for a Repeat-Until loop

How can we prove a program in repeat until using Hoare Logic? I've found a rule like this: {P} S {R}, {R ^ ~B -> P}, {R ^ B -> Q} for ...
0
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0answers
16 views

Confusion with space and time usage [duplicate]

The following is my own set-up code: ...
1
vote
1answer
23 views

Big-O Time Complexity of nested for loops [duplicate]

My gut tells me the time-complexity of the following code is simply O(n^2). However, I'm not convinced, thinking it could possibly be O(n^3): ...
4
votes
2answers
93 views

How to bridge theory and implementation for while loops?

I'm working on my own little programming language for educational purposes, and I've run into a little bit of a problem. There are a few different solutions for it, but all of them seem inelegant - ...
-3
votes
1answer
112 views

Complexity Analysis for a nested loop with two methods [duplicate]

Hey I am studying for my intro algorithms class final and I'm not sure if I'm understanding this question correctly (its from a sample final exam). If someone could explain this to me that would be ...
0
votes
0answers
22 views

Nested Loop Complexity [duplicate]

I have several lists of varying size, each index of the list contains both a key and an object : list1.add('Key', obj). The lists are all sorted. My aim is to iterate through the list and match 1 or ...
1
vote
1answer
58 views

Loop invariant: decreasing a variable and swapping it

As an example exercise, we were asked to find the loop invariant for this bit of code. ...
-1
votes
1answer
116 views

Runtime of nested loops

What is the asymptotic runtime of fthe ollowing piece of code in terms of number of updates to S in worst case. ...
0
votes
0answers
17 views

Big o notation for the algo [duplicate]

Asked this at programmers Stack Exchange, was recommend to ask here : What would be the big o for the algo: for (i=0; i < n*n; i++) for(j=0; j<i*i; j++) ...
1
vote
1answer
87 views

Explanation of the complexity of a loop [duplicate]

I am confused on the following: In the following trivial code: ...
0
votes
2answers
90 views

What is the Big O estimate of a nested for loop?

I am trying to figure out what the big o estimate of the following for loop is. ...
0
votes
0answers
19 views

Time complexity of complex nested for loops [duplicate]

What are the time complexities of the following code? I posted this on the general stackexchange website, but it was suggested that I post it here. ...
1
vote
0answers
26 views

Complexity of a nested for loop [duplicate]

I'm trying to work through various exercises in Skiena's "Algorithm Design Manual." One problem that I am stuck on is as follows: What value is returned by the following function? Express your ...
0
votes
3answers
238 views

Calculating time complexity of two interdependent nested for loops

Consider the following code segment : for (int i = 1; i <= n; i++ ) { for (int j = 1; j <= n; j = j + i ) { printf("Hi"); } } Here, the ...
0
votes
2answers
37 views

make Magic Square? [closed]

I need to write a function that takes in a 2D list, that is a NEARLY magic square, meaning that if you perform ONE swap, it becomes a magic square. The function would take in this nearly magic square, ...
1
vote
1answer
350 views
1
vote
1answer
402 views

Sum number of times statement is executed in triple nested loop

I have this code fragment: for( i=0; i<n; i++ ) for( j=0; j<i; j++ ) for( k=0; k<j; k++ ) S; I need to find the number of times ...
3
votes
3answers
1k views

What is the asymptotic runtime of this nested loop? [duplicate]

I am trying to analyse the runtime of this algorithm: for(i=1; i < n; i++){ for(j=1; j <= i; j++){ statement1; } } Expanding the ...
3
votes
1answer
201 views

Theta Runtime of Nested for Loops

I have two for loops, one nested within the other. I have two int variables n and U, where U > n. I know that the outer loop runs exactly U times (pretty much ...
1
vote
1answer
188 views

Can a Turing machine decide if a LOOP program stops for the integer input 0

This is a question I found in a practice exam while I am preparing for my mid term exam. The answer needs justification, either a pseudo code or a logical explanation why not. What puzzled me about ...
1
vote
1answer
95 views

Is it possible to write a universal loop program for if-then & loop programs and it is possible to write a universal while program for while progra

Is it possible to write a universal loop program for if-then & loop programs and it is possible to write a universal while program for while programs? Long version and some background: Before ...
0
votes
1answer
85 views

Confusion related to calculating time complexity

I have some confusion related to calculating the time complexity of this algorithm opt(i) for j=i:n a = f(i,j) + opt(j+1) end How is the running ...
2
votes
2answers
420 views

Analyzing programs with multiple for-loops

If they were all linked to make a condition such as ($1 < i < j < k < n$), I know how to solve, but the last loop is disconnected so I have no clue on how to do these... the ones like ...
1
vote
1answer
2k views

Triple nested for-loops [duplicate]

Possible Duplicate: A puzzle related to nested loops I am trying to count the exact/total number of iterations the following nested for-loops are executed: ...
0
votes
2answers
253 views

A puzzle related to nested loops

For a given input $N$, how many times does the enclosed statement executes? for $i$ in $1\ldots N$ loop $\quad$for $j$ in $1\ldots i$ loop $\quad$$\quad$for $k$ in $i\ldots j$ loop ...
1
vote
2answers
901 views

Runtime analysis of a nested loop

I have some difficulties performing the worst case analysis on this algorithm. The outermost loop is executed $2N$ times. The while loop, in the worst case, will increase by $2$ each time, so it ...
1
vote
1answer
396 views

Asymptotic time complexity of a two-loop program

I have two pieces of code in a function which I'm trying to calculate the asymptotic running time for: ...