using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); public static void Main() { Solve(); } static void Solve() { var p = NList; var (n, f) = (p[0], p[1]); var a = NList; var b = NList; var c = NList; var len = n * f + 61; var s = new Bitset(len); s.Set(0, true); var ans = new int[n]; for (var i = 0; i < n; ++i) { var sa = s.Clone(); sa.LShift(a[i]); var sb = s.Clone(); sb.LShift(b[i]); var sc = s.Clone(); sc.LShift(c[i]); sa.Or(sb); sa.Or(sc); ans[i] = sa.Popcount(); s = sa; } WriteLine(string.Join("\n", ans)); } class Bitset { int _length; ulong[] data; public Bitset(int length) { _length = length; data = new ulong[(length + 63) / 64]; } public void Set(int pos, bool val) { if (!val) data[pos / 64] = data[pos / 64] & (ulong.MaxValue ^ ((ulong)1 << (pos % 64))); else data[pos / 64] = data[pos / 64] | ((ulong)1 << (pos % 64)); } public void Or(Bitset b) { for (var i = 0; i < data.Length; ++i) data[i] = data[i] | b.data[i]; } public bool Includes(Bitset b) { for (var i = 0; i < data.Length; ++i) if ((data[i] | b.data[i]) != data[i]) return false; return true; } public bool Equals(Bitset b) { for (var i = 0; i < data.Length; ++i) if (data[i] != b.data[i]) return false; return true; } public bool[] Expand() { var ans = new bool[_length]; for (var i = 0; i < _length; ++i) ans[i] = (data[i / 64] >> (i % 64)) % 2 == 1; return ans; } public Bitset Clone() { var nb = new Bitset(_length); for (var i = 0; i < data.Length; ++i) nb.data[i] = data[i]; return nb; } /// <summary>全体の値に対して左シフトを行う はみ出た値は削除される</summary> /// <param name="len">シフトする長さ (0~64)</param> public void LShift(int len) { for (var i = data.Length - 1; i >= 0; --i) { if (i > 0) data[i] = (data[i] << len) | (data[i - 1] >> 64 - len); else data[i] <<= len; } } public override string ToString() { return string.Join(" ", Expand().Select(f => f ? "o" : "x")); } public int Popcount() { var ans = 0; for (var i = 0; i < data.Length; ++i) ans += Popcount(data[i]); return ans; } int Popcount(ulong n) { var c = (n & 0x5555555555555555) + ((n>>1) & 0x5555555555555555); c = (c & 0x3333333333333333) + ((c>>2) & 0x3333333333333333); c = (c & 0x0f0f0f0f0f0f0f0f) + ((c>>4) & 0x0f0f0f0f0f0f0f0f); c = (c & 0x00ff00ff00ff00ff) + ((c>>8) & 0x00ff00ff00ff00ff); c = (c & 0x0000ffff0000ffff) + ((c>>16) & 0x0000ffff0000ffff); c = (c & 0x00000000ffffffff) + ((c>>32) & 0x00000000ffffffff); return (int)c; } } }