shortest path in a graph with -ve weights
| 519 | |
| 520 | //shortest path in a graph with -ve weights |
| 521 | void bellmenFord(int source){ |
| 522 | int n,m; |
| 523 | cin>>n>>m; |
| 524 | vector<node>edges; |
| 525 | for(int i=0;i<m;i++){ |
| 526 | int x,y,w; |
| 527 | cin>>x>>y>>w; |
| 528 | edges.push_back(node(x,y,w)); |
| 529 | } |
| 530 | |
| 531 | vector<int>distance(n,INT_MAX); |
| 532 | distance[source]=0; |
| 533 | |
| 534 | //relaxing N-1 times every edge |
| 535 | for(int i=0;i<=n-1;i++){ |
| 536 | for(auto it:edges){ |
| 537 | if(distance[it.v]>distance[it.u]+it.w){ |
| 538 | distance[it.v]=distance[it.u]+it.w; |
| 539 | } |
| 540 | } |
| 541 | } |
| 542 | |
| 543 | int flag=0; |
| 544 | |
| 545 | //deceting negative cycle by relaxing one more time i.e Nth time |
| 546 | for(auto it:edges){ |
| 547 | if(distance[it.v]>distance[it.u]+it.w){ |
| 548 | cout<<"Negative cycle"; |
| 549 | flag=1; |
| 550 | break; |
| 551 | } |
| 552 | } |
| 553 | |
| 554 | if(flag==0){ |
| 555 | for(int i=0;i<n;i++){ |
| 556 | cout<<distance[i]<<" "; |
| 557 | } |
| 558 | } |
| 559 | } |
| 560 | |
| 561 | |
| 562 | int main() |