Problem:
Cycle Detection for a Directed Graph

Find a cycle in a directed graph G(V, E).

Input

A directed graph G is given in the following format:

|V| |E|
s0 t0
s1 t1
:
s|E|-1 t|E|-1

|V| is the number of nodes and |E| is the number of edges in the graph. The graph nodes are named with the numbers 0, 1,..., |V|-1 respectively.

si and ti represent source and target nodes of i-th edge (directed).

Output

Print 1 if G has cycle(s), 0 otherwise.

Constraints

1 ≤ |V| ≤ 100

0 ≤ |E| ≤ 1,000

si ≠ ti

Sample Input 1

3 3
0 1
0 2
1 2

Sample Output 1

0

Sample Input 2

3 3
0 1
1 2
2 0

Sample Output 2

1

Solution in Python3 (judge verdict: Time Limit Exceeded)


v, e = map(int, input().split()) # 頂点数vと辺数eを入力

g = [[] for i in range(v)] # グラフの要素数を確保

for i in range(e):
 s, t = map(int, input().split()) 
 g[s].append(t) # グラフに辺を挿入


ans = 0 # 答え
color = ['WHITE' for i in range(v)] # 全て未探索
stack = []
color[0] = 'GRAY'
stack.append(0)

while len(stack) != 0:
 u = stack.pop()

 for adj in g[u]:
  if color[adj] == 'GRAY':
   ans = 1
   stack.clear()
   break
  elif color[adj] == 'WHITE':
   stack.append(adj)
   color[adj] == 'GRAY'

print(ans)