public void Solve()
{
int N = Reader.Int(), M = Reader.Int();
var E = Reader.IntTable(M);
int NQ = Reader.Int();
var Q = Reader.IntTable(NQ);
var comp = new TwoEdgeConnectedComponent(N, E, 1);
var hld = new HLDecomposition(comp.Components.Count);
for (int a = 0; a < comp.Components.Count; a++)
{
foreach (int b in comp.Components[a].Edges)
{
if (a < b)
{
hld.AddEdge(a, b);
}
}
}
hld.Build();
var ans = new bool[NQ];
for (int i = 0; i < NQ; i++)
{
int a = comp.VtoComponentId(Q[i][0] - 1);
int b = comp.VtoComponentId(Q[i][1] - 1);
int c = comp.VtoComponentId(Q[i][2] - 1);
ans[i] = a == b && a == c || hld.Dist(a, b) + hld.Dist(b, c) == hld.Dist(a, c);
}
Console.WriteLine(string.Join("\n", ans.Select(b => b ? "OK" : "NG")));
}
void Test()
{
int N = (int)1e5;
int M = N - 1; // (int)2e5;
var E = new int[M][];
int ei = 0;
for (int i = 0; i < M; i++)
{
E[i] = new int[] { i + 1, i + 2 };
}
int NQ = (int)1e5;
var Q = new int[NQ][];
var random = new Random(0);
for (int i = 0; i < NQ; i++)
{
Q[i] = new[] { random.Next(N) + 1, random.Next(N) + 1, random.Next(N) + 1 }
}
;
var sw = Stopwatch.StartNew();
var comp = new TwoEdgeConnectedComponent(N, E, 1);
Console.WriteLine("TwoEdge: " + sw.ElapsedMilliseconds);
sw.Restart();
var hld = new HLDecomposition(comp.Count);
for (int a = 0; a < comp.Count; a++)
{
foreach (int b in comp[a].Edges)
{
if (a < b)
{
hld.AddEdge(a, b);
}
}
}
hld.Build();
Console.WriteLine("HLD: " + sw.ElapsedMilliseconds);
sw.Restart();
var ans = new bool[NQ];
for (int i = 0; i < NQ; i++)
{
int a = comp.VtoComponentId(Q[i][0] - 1);
int b = comp.VtoComponentId(Q[i][1] - 1);
int c = comp.VtoComponentId(Q[i][2] - 1);
ans[i] = a == b && a == c || hld.Dist(a, b) + hld.Dist(b, c) == hld.Dist(a, c);
}
Console.WriteLine(sw.ElapsedMilliseconds);
Console.ReadLine();
}
}
public void Solve()
{
int N = NextInt(), M = NextInt();
var E = new int[M][];
for (int i = 0; i < M; i++)
{
E[i] = new[] { NextInt(), NextInt() }
}
;
int NQ = NextInt();
var Q = new int[NQ][];
for (int i = 0; i < NQ; i++)
{
Q[i] = new[] { NextInt(), NextInt(), NextInt() }
}
;
var comp = new TwoEdgeConnectedComponent(N, E, 1);
var hld = new HLDecomposition(comp.Components.Count);
for (int a = 0; a < comp.Components.Count; a++)
{
foreach (int b in comp.Components[a].Edges)
{
if (a < b)
{
hld.AddEdge(a, b);
}
}
}
hld.Build();
var ans = new bool[NQ];
for (int i = 0; i < NQ; i++)
{
int a = comp.VtoComponentId(Q[i][0] - 1);
int b = comp.VtoComponentId(Q[i][1] - 1);
int c = comp.VtoComponentId(Q[i][2] - 1);
ans[i] = a == b && a == c || hld.Dist(a, b) + hld.Dist(b, c) == hld.Dist(a, c);
}
Console.WriteLine(string.Join("\n", ans.Select(b => b ? "OK" : "NG")));
}
TextReader _reader = Console.In;
int NextInt()
{
int c;
while ((c = _reader.Read()) < '0' || c > '9')
{
}
int res = c - '0';
while ((c = _reader.Read()) >= '0' && c <= '9')
{
res = res * 10 + c - '0';
}
return(res);
}
}