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97 changes: 97 additions & 0 deletions ShortestPath.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,97 @@
#include <bits/stdc++.h>
using namespace std;
int indegree[6];
int weight[6][6];
void AddEdge(int adj[6][6], int u, int v, int num)
{
adj[u][v] = 1;
weight[u][v] = num;
indegree[v]++;
}
vector<int> v;
void TopologicalSort(int adj[6][6],int indegree[])
{
queue<int> q;
bool visited[6];
for (int i = 0; i < 6;i++)
{
visited[i] = false;
if(indegree[i]==0)
{
q.push(i);
}
}
while(!q.empty())
{
int a = q.front();
q.pop();
v.push_back(a);
visited[a] = true;
for (int i = 0; i < 6;i++)
{
if(adj[a][i]==1&&visited[i]==false)
{
visited[i] = true;
}
indegree[i]--;
if(indegree[i]==0)
{
q.push(i);
}
}
}
}
int dist[6];
void Shortest(int adj[6][6], int u)
{
dist[u] = 0;
for (int i = 0; i < 6;i++)
{
for (int j = 0; j < 6;j++)
{
if(adj[v[i]][j]==1)
{
if(dist[j]>dist[v[i]]+weight[v[i]][j])
{
dist[j] = dist[v[i]] + weight[v[i]][j];
}
}
}
}
}
int main()
{
int n;
// cin >> n;
int adj[6][6];
for (int i = 0; i < 6; i++)
{
indegree[i] = 0;
}
for (int i = 0; i < 6; i++)
{
dist[i] = INT_FAST16_MAX;
}
for (int i = 0; i < 6;i++)
{
for (int j = 0; j < 6;j++)
{
weight[i][j] = 0;
adj[i][j] = -1;
}
}
AddEdge(adj, 0, 1, 2);
AddEdge(adj, 1, 2, 3);
AddEdge(adj, 2, 3, 6);
AddEdge(adj, 0, 4, 1);
AddEdge(adj, 4, 2, 2);
AddEdge(adj, 4, 5, 4);
AddEdge(adj, 5, 3, 1);
TopologicalSort(adj, indegree);
Shortest(adj, 0);
// distance of each node from 0 node;
for (int i = 0; i < 6;i++)
{
cout << dist[i] << " ";
}
}