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30 changes: 30 additions & 0 deletions C++/Math/SieveofEratosthenes.cpp
Original file line number Diff line number Diff line change
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// For a given number it will tell all the prime number less than or equal to it.

#include <bits/stdc++.h>
using namespace std;

void SieveOfEratosthenes(int n)
{
bool sieve[n+1];
memset(sieve, true, sizeof(sieve));

for (int p=2; p*p<=n; p++)
{
if (sieve[p] == true)
{

for (int i=p*p; i<=n; i += p)
sieve[i] = false;
}
}

for (int p=2; p<=n; p++) if (sieve[p]) cout << p << " ";
cout<<"\n";
}
int main()
{
int n; cin>>n;
SieveOfEratosthenes(n);
return 0;
}
76 changes: 76 additions & 0 deletions C++/Sort/mergesort.cpp
Original file line number Diff line number Diff line change
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#include <iostream>
using namespace std;

void merge(int arr[], int p, int q, int r) {


int n1 = q - p + 1;
int n2 = r - q;

int L[n1], M[n2];

for (int i = 0; i < n1; i++)
L[i] = arr[p + i];
for (int j = 0; j < n2; j++)
M[j] = arr[q + 1 + j];


int i, j, k;
i = 0;
j = 0;
k = p;


while (i < n1 && j < n2) {
if (L[i] <= M[j]) {
arr[k] = L[i];
i++;
} else {
arr[k] = M[j];
j++;
}
k++;
}


while (i < n1) {
arr[k] = L[i];
i++;
k++;
}

while (j < n2) {
arr[k] = M[j];
j++;
k++;
}
}


void mergeSort(int arr[], int l, int r) {
if (l < r) {

int m = l + (r - l) / 2;

mergeSort(arr, l, m);
mergeSort(arr, m + 1, r);
merge(arr, l, m, r);
}
}

void printArray(int arr[], int size) {
for (int i = 0; i < size; i++)
cout << arr[i] << " ";
cout << endl;
}

int main() {
int arr[] = {4,8,2,9,7,3,6};
int size = sizeof(arr) / sizeof(arr[0]);

mergeSort(arr, 0, size - 1);

cout << "Sorted array: \n";
printArray(arr, size);
return 0;
}