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54 changes: 54 additions & 0 deletions Graph Algorithms/Strongly Connected Component.cpp
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//(Detection of Directed Cycle in a connected component): http://codeforces.com/contest/505/problem/D
vector<int> g[N], newg[N], rg[N], todo;
int comp[N], indeg[N];
bool vis[N];
vector<int> gr[N];

void dfs(int k)
{
vis[k]=1;
for(auto it:g[k])
{
if(!vis[it])
dfs(it);
}
todo.push_back(k);
}

void dfs2(int k, int val)
{
comp[k]=val;
for(auto it:rg[k])
{
if(comp[it]==-1)
dfs2(it, val);
}
}

void sccAddEdge(int from, int to)
{
g[from].push_back(to);
rg[to].push_back(from);
}

void scc()
{
for(int i=1;i<=n;i++)
comp[i]=-1;

for(int i=1;i<=n;i++)
{
if(!vis[i])
dfs(i);
}

reverse(todo.begin(), todo.end());

for(auto it:todo)
{
if(comp[it]==-1)
{
dfs2(it, ++grp);
}
}
}
54 changes: 54 additions & 0 deletions Recursion, Backtracking etc/K-Combinations.cpp
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/*
Petar 'PetarV' Velickovic
Algorithm: K-Combinations
*/

#include <stdio.h>
#include <math.h>
#include <string.h>
#include <iostream>
#include <vector>
#include <list>
#include <string>
#include <algorithm>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <complex>
using namespace std;
typedef long long lld;

int n, k;
int skup[100];
bool inSet[100];

//Program koji generise sve kombinacije od po K elemenata datog skupa
//Slozenost: O((n choose k))

void kCombinations(int pos, int amt)
{
if (n-pos<k-amt) return;
if (amt==k)
{
for (int i=0;i<n;i++) if (inSet[i]) printf("%d ",skup[i]);
printf("\n");
return;
}
inSet[pos] = true;
kCombinations(pos+1,amt+1);
inSet[pos] = false;
kCombinations(pos+1,amt);
}

int main()
{
n = 5, k = 2;
skup[0] = 1;
skup[1] = 2;
skup[2] = 3;
skup[3] = 4;
skup[4] = 5;
kCombinations(0, 0);
return 0;
}
57 changes: 57 additions & 0 deletions Recursion, Backtracking etc/Permutations.cpp
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/*
Petar 'PetarV' Velickovic
Algorithm: Permutations
*/

#include <stdio.h>
#include <math.h>
#include <string.h>
#include <iostream>
#include <vector>
#include <list>
#include <string>
#include <algorithm>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <complex>
using namespace std;
typedef long long lld;

int n;
int niz[100];
bool inPerm[100];
int currPerm[100];

//Algoritam koji generise sve permutacije datog niza
//Slozenost: O(n!)

void generatePermutations(int pos)
{
if (pos == n)
{
for (int i=0;i<n;i++) printf("%d ",currPerm[i]);
printf("\n");
}
for (int i=0;i<n;i++)
{
if (!inPerm[i])
{
currPerm[pos] = niz[i];
inPerm[i] = true;
generatePermutations(pos+1);
inPerm[i] = false;
}
}
}

int main()
{
n = 3;
niz[0] = 1;
niz[1] = 2;
niz[2] = 3;
generatePermutations(0);
return 0;
}
51 changes: 51 additions & 0 deletions Recursion, Backtracking etc/Power Set.cpp
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/*
Petar 'PetarV' Velickovic
Algorithm: Power Set
*/

#include <stdio.h>
#include <math.h>
#include <string.h>
#include <iostream>
#include <vector>
#include <list>
#include <string>
#include <algorithm>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <complex>
using namespace std;
typedef long long lld;

//Metoda koja generise partitivni skup nekog skupa
//Slozenost: O(2^n)

int n;
int skup[100];
bool inSet[100];

void powerSet(int pos)
{
if (pos==n)
{
for (int i=0;i<n;i++) if (inSet[i]) printf("%d ",skup[i]);
printf("\n");
return;
}
inSet[pos] = false;
powerSet(pos+1);
inSet[pos] = true;
powerSet(pos+1);
}

int main()
{
n = 3;
skup[0] = 1;
skup[1] = 2;
skup[2] = 3;
powerSet(0);
return 0;
}