public override void Solve(IOManager io)
{
var n = io.ReadInt();
var threshold = io.ReadInt();
var a = new int[n, n];
var combinaton = new ModCombination <Mod998244353>(100);
for (int row = 0; row < n; row++)
{
for (int column = 0; column < n; column++)
{
a[row, column] = io.ReadInt();
}
}
var rowUf = new UnionFind(n);
var colUf = new UnionFind(n);
for (int i = 0; i < n; i++)
{
for (int j = i + 1; j < n; j++)
{
var ok = true;
for (int column = 0; column < n; column++)
{
ok &= a[i, column] + a[j, column] <= threshold;
}
if (ok)
{
colUf.Unite(i, j);
}
}
}
for (int i = 0; i < n; i++)
{
for (int j = i + 1; j < n; j++)
{
var ok = true;
for (int row = 0; row < n; row++)
{
ok &= a[row, i] + a[row, j] <= threshold;
}
if (ok)
{
rowUf.Unite(i, j);
}
}
}
var result = ModInt.One;
foreach (var g in colUf.GetAllGroups())
{
result *= combinaton.Factorial(g.Length);
}
foreach (var g in rowUf.GetAllGroups())
{
result *= combinaton.Factorial(g.Length);
}
io.WriteLine(result);
}
public void FactorialTest(int n, int expected)
{
var fact = _combination.Factorial(n);
Assert.Equal(expected, fact.Value);
}