using System;
using System.Linq;
using System.Linq.Expressions;
using System.Collections.Generic;
using Debug = System.Diagnostics.Debug;
using StringBuilder = System.Text.StringBuilder;
using System.Numerics;
using Point = System.Numerics.Complex;
using Number = System.Int32;
namespace Program
{
public class Solver
{
public void Solve()
{
var n = sc.Integer();
var k = 1;
while (k < 2 * (n + 1)) k *= 2;
var A = new Complex[k];
var B = new Complex[k];
for (int i = 0; i < n; i++)
{
A[i + 1] = new Complex(sc.Integer(), 0);
B[i + 1] = new Complex(sc.Integer(), 0);
}
var ret = MathEX.Convolute(A, B);
for (int i = 1; i <= 2 * n; i++)
IO.Printer.Out.WriteLine((long)(ret[i].Real + 1e-4));
}
public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput());
static T[] Enumerate<T>(int n, Func<int, T> f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; }
static public void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
}
}
#region main
static class Ex
{
static public string AsString(this IEnumerable<char> ie) { return new string(System.Linq.Enumerable.ToArray(ie)); }
static public string AsJoinedString<T>(this IEnumerable<T> ie, string st = " ") { return string.Join(st, ie); }
static public void Main()
{
var solver = new Program.Solver();
solver.Solve();
Program.IO.Printer.Out.Flush();
}
}
#endregion
#region Ex
namespace Program.IO
{
using System.IO;
using System.Text;
using System.Globalization;
public class Printer : StreamWriter
{
static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; }
public static Printer Out { get; set; }
public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } }
public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { }
public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { }
public void Write<T>(string format, T[] source) { base.Write(format, source.OfType<object>().ToArray()); }
public void WriteLine<T>(string format, T[] source) { base.WriteLine(format, source.OfType<object>().ToArray()); }
}
public class StreamScanner
{
public StreamScanner(Stream stream) { str = stream; }
public readonly Stream str;
private readonly byte[] buf = new byte[1024];
private int len, ptr;
public bool isEof = false;
public bool IsEndOfStream { get { return isEof; } }
private byte read()
{
if (isEof) return 0;
if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } }
return buf[ptr++];
}
public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; }
public string Scan()
{
var sb = new StringBuilder();
for (var b = Char(); b >= 33 && b <= 126; b = (char)read())
sb.Append(b);
return sb.ToString();
}
public string ScanLine()
{
var sb = new StringBuilder();
for (var b = Char(); b != '\n'; b = (char)read())
if (b == 0) break;
else if (b != '\r') sb.Append(b);
return sb.ToString();
}
public long Long()
{
if (isEof) return long.MinValue;
long ret = 0; byte b = 0; var ng = false;
do b = read();
while (b != 0 && b != '-' && (b < '0' || '9' < b));
if (b == 0) return long.MinValue;
if (b == '-') { ng = true; b = read(); }
for (; true; b = read())
{
if (b < '0' || '9' < b)
return ng ? -ret : ret;
else ret = ret * 10 + b - '0';
}
}
public int Integer() { return (isEof) ? int.MinValue : (int)Long(); }
public double Double() { var s = Scan(); return s != "" ? double.Parse(s, CultureInfo.InvariantCulture) : double.NaN; }
private T[] enumerate<T>(int n, Func<T> f)
{
var a = new T[n];
for (int i = 0; i < n; ++i) a[i] = f();
return a;
}
public char[] Char(int n) { return enumerate(n, Char); }
public string[] Scan(int n) { return enumerate(n, Scan); }
public double[] Double(int n) { return enumerate(n, Double); }
public int[] Integer(int n) { return enumerate(n, Integer); }
public long[] Long(int n) { return enumerate(n, Long); }
}
}
#endregion
#region FFT
static public partial class MathEX
{
static private void Swap<T>(ref T a, ref T b) { var tmp = a; a = b; b = tmp; }
[System.Diagnostics.Conditional("DEBUG")]
static void check(int n)
{
int k = 1;
while (k < n) k *= 2;
Debug.Assert(k == n);
}
/// <summary>
/// 畳み込み演算(g*h)(x)=ΣΣA_iB_jx^{i+j}をする.
/// </summary>
static public Complex[] Convolute(Complex[] A, Complex[] B)
{
var n = A.Length;
var ret = new Complex[n];
FFT(A); FFT(B);
for (int i = 0; i < n; i++)
ret[i] = A[i] * B[i];
InvFFT(ret);
return ret;
}
/// <summary>
/// Stockham FFT
/// </summary>
static public void FFT(Complex[] a)
{
check(a.Length);
var buf = new Complex[a.Length];
fft0(a.Length, 1, false, a, buf);
}
/// <summary>
/// Stockham FFT
/// </summary>
static public void InvFFT(Complex[] a)
{
check(a.Length);
var buf = new Complex[a.Length];
for (int i = 0; i < a.Length; i++)
a[i] = Complex.Conjugate(a[i]);
fft0(a.Length, 1, false, a, buf);
for (int i = 0; i < a.Length; i++)
a[i] = Complex.Conjugate(a[i]) / a.Length;
}
static private void fft0(int n, int s, bool eo, Complex[] x, Complex[] y)
{
while (n >= 2)
{
int m = n / 2;
var theta0 = 2 * Math.PI / n;
if (n == 2)
{
var z = eo ? y : x;
for (int q = 0; q < s; q++)
{
var a = x[q + 0];
var b = x[q + s];
z[q + 0] = a + b;
z[q + s] = a - b;
}
return;
}
else
{
for (int p = 0; p < m; p++)
{
var wp = new Complex(Math.Cos(p * theta0), -Math.Sin(p * theta0));
for (int q = 0; q < s; q++)
{
var a = x[q + s * p];
var b = x[q + s * (p + m)];
y[q + s * (2 * p)] = a + b;
y[q + s * (2 * p + 1)] = (a - b) * wp;
}
}
//fft0(n / 2, 2 * s, !eo, y, x);
n /= 2; s *= 2; eo ^= true; Swap(ref y, ref x);
}
}
}
}
#endregion