Created
April 14, 2017 07:18
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Nice implementation of krushkal algorithm https://www.hackerearth.com/practice/algorithms/graphs/minimum-spanning-tree/tutorial/
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#include <iostream> | |
#include <vector> | |
#include <utility> | |
#include <algorithm> | |
using namespace std; | |
const int MAX = 1e4 + 5; | |
int id[MAX], nodes, edges; | |
pair <long long, pair<int, int> > p[MAX]; | |
void initialize() | |
{ | |
for(int i = 0;i < MAX;++i) | |
id[i] = i; | |
} | |
int root(int x) | |
{ | |
while(id[x] != x) | |
{ | |
id[x] = id[id[x]]; | |
x = id[x]; | |
} | |
return x; | |
} | |
void union1(int x, int y) | |
{ | |
int p = root(x); | |
int q = root(y); | |
id[p] = id[q]; | |
} | |
long long kruskal(pair<long long, pair<int, int> > p[]) | |
{ | |
int x, y; | |
long long cost, minimumCost = 0; | |
for(int i = 0;i < edges;++i) | |
{ | |
// Selecting edges one by one in increasing order from the beginning | |
x = p[i].second.first; | |
y = p[i].second.second; | |
cost = p[i].first; | |
// Check if the selected edge is creating a cycle or not | |
if(root(x) != root(y)) | |
{ | |
minimumCost += cost; | |
union1(x, y); | |
} | |
} | |
return minimumCost; | |
} | |
int main() | |
{ | |
int x, y; | |
long long weight, cost, minimumCost; | |
initialize(); | |
cin >> nodes >> edges; | |
for(int i = 0;i < edges;++i) | |
{ | |
cin >> x >> y >> weight; | |
p[i] = make_pair(weight, make_pair(x, y)); | |
} | |
// Sort the edges in the ascending order | |
sort(p, p + edges); | |
minimumCost = kruskal(p); | |
cout << minimumCost << endl; | |
return 0; | |
} |
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