output_description: If the graph contains a negative cycle (a cycle whose sum of edge costs is a
  negative value) which is reachable from the source r, print
  
      
      
      NEGATIVE CYCLE
      
  
  in a line.
  
  Otherwise, print
  
      
      
      c0
      c1
      :
      c|V|-1
      
  
  The output consists of |V| lines. Print the cost of the shortest path from the
  source r to each vertex 0, 1, ... |V|-1 in order. If there is no path from the
  source to a vertex, print "INF".
input_description: An edge-weighted graph G (V, E) and the source r.
  
      
      
      |V| |E| r
      s0 t0 d0
      s1 t1 d1
      :
      s|E|-1 t|E|-1 d|E|-1
      
  
  |V| is the number of vertices and |E| is the number of edges in G. The graph
  vertices are named with the numbers 0, 1,..., |V|-1 respectively. r is the
  source of the graph.
  
  si and ti represent source and target vertices of i-th edge (directed) and di
  represents the cost of the i-th edge.
attempt: V, E, r = map(int, input().split())
  edges = [tuple(map(int, input().split())) for _ in range(E)]
  dist = [float("inf") for _ in range(V)]
  dist[r - 1] = 0
  for i in range(V + 1):
      for edge in edges:
          if edge[0] != float("inf") and dist[edge[1] - 1] > dist[edge[0] - 1] + edge[2]:
              dist[edge[1] - 1] = dist[edge[0] - 1] + edge[2]
              if i == V - 1:
                  print("NEGATIVE CYCLE")
                  exit()
  print(
      "\n".join(
          str(dist[e - 1]) if dist[e - 1] != float("inf") else "INF" for e in range(V)
      )
  )
  
problem_description: Single Source Shortest Path (Negative Edges)
samples: [{"input": "4 5 0\n    0 1 2\n    0 2 3\n    1 2 -5\n    1 3 1\n    2 3 2", "output": "0\n    2\n    -3\n    -1"}, {"input": "4 6 0\n    0 1 2\n    0 2 3\n    1 2 -5\n    1 3 1\n    2 3 2\n    3 1 0", "output": "NEGATIVE CYCLE"}, {"input": "4 5 1\n    0 1 2\n    0 2 3\n    1 2 -5\n    1 3 1\n    2 3 2", "output": "INF\n    0\n    -5\n    -3"}]