C/C++ :: Changing Complexity From O(n) To O(1)

May 5, 2012

For the following code :

 s = 0 ;
 for(i=m ; i<=(2*n-1) ; i+=m) {
            if(i<=n+1)
            { s+=(i-1)/2 ; }
           else
            { s+=(2*n-i+1)/2 ; }  
      }  

I want to change the complexity of the code from O(n) to O(1) . So I wanted to eliminate the for loop . But as the sum "s" stores values like (i-1)/2 or (2*n-i+1)/2 so eliminating the loop involves tedious calculation of floor value of each (i-1)/2 or (2*n-i+1)/2 . It became very difficult for me to do so as I might have derived the wrong formula in sums of floors . Need Changing complexity from O(n) to O(1). Is there any other way to reduce the complexity ? If yes ... then how ?

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C++ :: Space Complexity Of A Map

Feb 1, 2013

What would the worst, average and best case space complexity be for a data structure of type map<string, vector<int> > in big O notation? I'm parsing through a document and storing each word as a key and im attaching an associated int (in a vector) to it as the value.

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Mar 24, 2013

Assuming that we have :

Code:
int arr2d[rows][columns] ; // Not valid syntax of course ... let be arr2d rows * columns size
for(int i=0; i<rows; i++)
for(int j=0; j<columns; j++)
arr2d[rows][columns] = some_value;

What is the complexity? I believe O(n) and not O(n^2) on this case because if you have 3*3 size you would put 9 elements (from 9 elements input of course)... for each input you have one insertion and that is the meaning. Same as 4*4 size 16 input times 16 insertions .. or 5*5 and so forth...

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Jul 21, 2014

I have a very simple program the time complexity of the function that I used in this program is O(mn)because it has a nested loop, I really need to reduce the time complexity to O(n)

[code=c++]
#include <iostream.h>
#include<stdlib.h>
int *char_count( const char* DNA, const int *starts, const int *ends, char letter);
int main()

[Code].....

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Feb 9, 2015

Giving a dynamic array, we want to pass the array elements from a file. The first number in the file N gives us the array length. They follow N numbers, the actual elements of the array.

Three brothers are going to work in the shop of their father for a time. The shop is doing well and every day generates profit which the three brothers may provide. The brothers agreed that they would divide the total time in three successive parts, not necessarily equal duration, and that each one will be working in the shop during one of these parts and collects the corresponding profit on his behalf. But they want to make a deal fairly, so that one received from three more profit someone else. Specifically, they want to minimize the profit the most favored of the three will receive.

I first created a program that WORKS! with complexity O(n3).

#include <stdio.h>
#include <stdlib.h>
#include <limits.h>
int sum_array(int* array, int cnt){
int res = 0;
int i;
for ( i = 0; i < cnt ; ++i)

[Code] .....

Let's assume that we have the following input:

10

1 1 8 1 1 3 4 9 5 2

The ouptut should be 15 -> A = 1 + 1 + 8 + 1 + 1 + 3 = 15 , B = 4 + 9 = 13 , C = 5 + 2 = 7.

But the ouptut is 16!

How can I reduce the complexity of my first working! C code?

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Jan 23, 2013

this function has to check if an array is not descending it has to be recursive and it's space complexity has to be O(log(n))

Code:

int is_sorted(int a[ ], int n) {
int check=n-1;
if(n==1 || n==0) return 1;
if(a[check]<a[check-1])return 0;
else return(is_sorted(a,n-1));
}

this is what i came up with. i know it's space complexity is O(n) how do i make it O(log(n))?

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Sep 2, 2013

I was just going through Radix Sort algorithm. Though I got the logic and the concept used in it, I am still pretty much confused about the space complexity being O(k+n) for this algorithm. (where, k is the max no of digits in a number, and n is the no. of inputs to be sorted).

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{
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return 1;

[Code]....

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Feb 14, 2014

Suppose you have a switch statement defined like:

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case ONE:
case TWO:
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case N:
doSomething();
break;
default:
somethingElse();
break;
}

What is the complexity of the doSomething()? Is it still equal to the complexity of doSomething() , or the complexity of doSomething() plus the number of case statements? In other words, does the number of case statements a conditional piece of code has count towards the complexity?

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define the time and space complexity of an algorithm and about what can i do when the time and space complexity are given and i should write the code corresponding to the restrictions , which i find very difficult.

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Oct 29, 2014

We were discussing how to find average time complexity of different algorithms. Suppose I've a the following nested loop

for(int i=0;i<n;i++)
{
min = i;

[Code].....

Now the outer loop will iterate N times. the inner loop will always iterate 3 times no matter what the value of N is. so the worst case time complexity should be O(n^2) but what about the average case and the best case? I mean in terms of searching we can figure out and distinguish between the worst,best and average as it depends upon the number of comparisons. But here how can the average and best case be different then the worst case.

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Dec 17, 2013

If I was to input for example 'x' into my program, how could I change that to something like 'HuS581' every time that specific character was inputted?

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Oct 30, 2013

I was talking to someone earlier about how to change the value of something from a function, and they said what was needed was to use a ** to change something, and was wondering if I could get a walk - through of what happens. I understand a single pointer well enough, but a pointer through a pointer is kind of confusing to me. Here is a simple example.

Code:
#include <stdio.h>
#include <stdlib.h>
#define SIZE 5
int add(int ** TOP, int * stack);

int *stack = NULL;

[Code] ....

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Nov 7, 2013

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// cin.get() <-------------- used to let the user read the screen

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void showOrder(const double [], const int [], int);

[Code] ....

How can i change the "const int NUM_PRODS = 12;" from saying id 1, id 2, id 3, etc. to custom product numbers?

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I use miracle library to work with big numbers. I defined a number for example X with 192 bit. at first X= 0 ;I want to change for example 3 bit of it to 1 randomly.as a example:

assume that X has 10 bit :
X=0000000000
random numbers should be :
1000010001
1010100000
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May 15, 2012

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I have read the manual but I cannot figure out how to use GMP in this function without getting errors.

Here is the function:

Code:
int lucas(long p){ //p is a number in the range of 2 up to 50,000,000, possibly bigger
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int z; //used in the for loop below
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M *= 2;
}
M--;

[code]....

I can initialize variables using the gmp library, but when I'm trying to use the mpz_pow_ui() function I get errors because it wants me to use long integers, which are too small for the numbers I want to work with.

How can I re-write this function to use GMP?

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# include <iostream>
# include <fstream>
# include <sstream>
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[Code] ....

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If I have an array of two columns that have the same values and I want to change only the third column how can I go about doing this. The values of the third column will change based on the values in one of the columns which I plug into a math equation. Also how come I can't show a double value in the array?

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#include <math.h>
#include<iomanip>
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using namespace std;

[code]...

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cout << "
Enter accreted mass increment in solar masses
";
cin >> dm;
cout << "

[Code] ....

Basically the loop works, but gives the wrong results.

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#include <iostream>
#include <fstream>
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using namespace std;
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[Code] ....

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//These two change text on my WPF forms with accessor values from my class.
battlesWonText.Text = counter.BattlesWon.ToString();
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[Code] ....

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[DllImport("user32.dll")]
static extern bool SetWindowPos(IntPtr hWnd, IntPtr hWndInsertAfter, int X, int Y, int cx, int cy, uint uFlags);
const UInt32 SWP_NOSIZE = 0x0001;
const UInt32 SWP_NOMOVE = 0x0002;
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[Code] ....

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bool IsFound = false;
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IsFound = dl.GetUser(Server.MapPath("~/AddressBook.mdb"), txtUserID.Text, txtPassword.Text);
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[code]....

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