// 戻り値の長さは |a| + |b| - 1 となります。
public static long[] Convolution(long[] a, long[] b)
{
if (a == null)
{
throw new ArgumentNullException(nameof(a));
}
if (b == null)
{
throw new ArgumentNullException(nameof(b));
}
var n = a.Length + b.Length - 1;
var ntt = new FNTT(n);
var fa = ntt.Transform(a, false);
var fb = ntt.Transform(b, false);
for (int k = 0; k < fa.Length; ++k)
{
fa[k] = fa[k] * fb[k] % p;
}
var c = ntt.Transform(fa, true);
if (n < c.Length)
{
Array.Resize(ref c, n);
}
return(c);
}
static object Solve()
{
var(R, G, B, K) = Read4();
var(X, Y, Z) = Read3();
var mc = new MCombination(R + G + B);
var rs = new long[R + 1];
var gs = new long[G + 1];
var bs = new long[B + 1];
for (int r = K - Y; r <= R; r++)
{
rs[r] = mc.MNcr(R, r);
}
for (int g = K - Z; g <= G; g++)
{
gs[g] = mc.MNcr(G, g);
}
for (int b = K - X; b <= B; b++)
{
bs[b] = mc.MNcr(B, b);
}
rs = FNTT.Convolution(rs, gs);
rs = FNTT.Convolution(rs, bs);
return(rs[K]);
}
static void Main()
{
Console.ReadLine();
var a = ReadL();
var b = ReadL();
var c = FNTT.Convolution(a, b);
Console.WriteLine(string.Join(" ", c));
}
static void Main()
{
var n = int.Parse(Console.ReadLine());
var a = new long[n + 1];
var b = new long[n + 1];
for (int i = 1; i <= n; i++)
{
var v = Read();
a[i] = v[0];
b[i] = v[1];
}
var ab = FNTT.Convolution(a, b);
Console.WriteLine(string.Join("\n", ab[1..]));
static void Main()
{
var h = Console.ReadLine().Split();
char[] sa = h[0].ToCharArray(), sb = h[1].ToCharArray();
var neg_a = sa[0] == '-';
var neg_b = sb[0] == '-';
var neg_ab = neg_a ^ neg_b;
var a = Array.ConvertAll(sa, c => (long)(c - '0'));
var b = Array.ConvertAll(sb, c => (long)(c - '0'));
Array.Reverse(a);
Array.Reverse(b);
if (neg_a)
{
Array.Resize(ref a, a.Length - 1);
}
if (neg_b)
{
Array.Resize(ref b, b.Length - 1);
}
var ab = FNTT.Convolution(a, b);
for (int i = 0; i < ab.Length - 1; i++)
{
if (ab[i] < 10)
{
continue;
}
ab[i + 1] += ab[i] / 10;
ab[i] %= 10;
}
Console.WriteLine(ToString(ab, neg_ab));
}
public void Transform_FNTT()
{
var ntt = new FNTT(n);
Test(f => ntt.Transform(f, false), f => ntt.Transform(f, true));
}