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Created September 6, 2015 13:23
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/**
* Filename : dijkstra.cpp
* Author : Adrian Statescu <http://thinkphp.ro>
* Description : Dijkstra's Algorithm for Shortest Path Directed Graph.
*/
#include <cstdio>
#include <vector>
#include <queue>
#define FIN "dijkstra.in"
#define FOUT "dijkstra.out"
using namespace std;
class Dijkstra {
public:
Dijkstra(int N, int M): nodes( N ),
edges( M ),
Graph(2 * N + 1),
distMin(2 * N + 1),
inQueue(N + 1) {}
void addEdge(int x, int y, int cost) {
Graph[ x ].push_back(make_pair(y, cost));
}
void solve() {
for(int i = 2; i <= nodes; i++) distMin[ i ] = oo;
distMin[ 1 ] = 0;
Queue.push( 1 );
inQueue[ 1 ] = true;
while( !Queue.empty() ) {
int node = Queue.front();
Queue.pop();
inQueue[ node ] = false;
for(auto G : Graph[ node ]) {
if(distMin[ G.first ] > distMin[ node ] + G.second) {
distMin[ G.first ] = distMin[ node ] + G.second;
if(!inQueue[ G.first ]) {
Queue.push( G.first );
inQueue[ G.first ] = true;
}
}
}
}
}
void getDistMin() {
freopen(FOUT, "w", stdout);
for(int i = 2; i <= nodes; i++) {
printf("%d ", distMin[ i ] < oo ? distMin[ i ] : 0);
}
fclose( stdout );
}
void printGraph() {
printf("\n");
for(int i = 1 ; i <= nodes; i++) {
printf("%d - > ", i);
for(auto v : Graph[ i ]) {
printf("%d ", v.first);
}
printf("\n");
}
printf("\n");
}
private:
int nodes, edges;
vector<vector<pair<int, int> > > Graph;
vector<int> distMin;
queue<int> Queue;
vector<bool> inQueue;
int oo = ((1LL<<31)-1);
};
int main() {
int n,
m,
x,
y,
cost;
freopen(FIN, "r", stdin);
scanf("%d %d", &n, &m);
Dijkstra dij(n, m);
while(m--){
scanf("%d %d %d", &x, &y, &cost);
dij.addEdge(x, y, cost);
}
dij.solve();
dij.getDistMin();
fclose( stdin );
return(0);
};
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