Problem:
Score: 300 points

Problem Statement

Takahashi has decided to hold fastest-finger-fast quiz games. Kizahashi, who is in charge of making the scoreboard, is struggling to write the program that manages the players' scores in a game, which proceeds as follows.

A game is played by N players, numbered 1 to N. At the beginning of a game, each player has K points.

When a player correctly answers a question, each of the other N-1 players receives minus one (-1) point. There is no other factor that affects the players' scores.

At the end of a game, the players with 0 points or lower are eliminated, and the remaining players survive.

In the last game, the players gave a total of Q correct answers, the i-th of which was given by Player A_i.
For Kizahashi, write a program that determines whether each of the N players survived this game.

Constraints

All values in input are integers.

2 \leq N \leq 10^5

1 \leq K \leq 10^9

1 \leq Q \leq 10^5

1 \leq A_i \leq N\ (1 \leq i \leq Q)

Input

Input is given from Standard Input in the following format:

N K Q
A_1
A_2
.
.
.
A_Q

Output

Print N lines. The i-th line should contain Yes if Player i survived the game, and No otherwise.

Sample Input 1

6 3 4
3
1
3
2

Sample Output 1

No
No
Yes
No
No
No

In the beginning, the players' scores are (3, 3, 3, 3, 3, 3).

Player 3 correctly answers a question. The players' scores are now (2, 2, 3, 2, 2, 2).

Player 1 correctly answers a question. The players' scores are now (2, 1, 2, 1, 1, 1).

Player 3 correctly answers a question. The players' scores are now (1, 0, 2, 0, 0, 0).

Player 2 correctly answers a question. The players' scores are now (0, 0, 1, -1, -1, -1).

Players 1, 2, 4, 5 and 6, who have 0 points or lower, are eliminated, and Player 3 survives this game.

Sample Input 2

6 5 4
3
1
3
2

Sample Output 2

Yes
Yes
Yes
Yes
Yes
Yes

Sample Input 3

10 13 15
3
1
4
1
5
9
2
6
5
3
5
8
9
7
9

Sample Output 3

No
No
No
No
Yes
No
No
No
Yes
No

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

namespace AtCoder
{
    using System;
    using System.Collections.Generic;
    using System.IO;
    using System.Linq;
    using System.Text;
    using static System.Console;
    using static System.Math;
    using static Util;

    class AtCoder
    {
        /*------------------------------------------------------------------*/
        void Solve()
        {
            int N, K, Q;
            int[] A;
            io.i(out N, out K, out Q);
            io.ini(out A, Q);

            var needsToWon = Q - K;
            var wonCnts = new Counts<int>(A);
            Enumerable
                .Range(1, N)
                .Select(x => needsToWon < wonCnts[x])
                .Iter(io.Yn);
        }

        /*------------------------------------------------------------------*/
        void Test()
        {
            //--- TEST ---//
        }

        public static void Main(string[] _) => new AtCoder().Stream();
        IO io = new IO();

        private void Stream()
        {
            /*
            var exStdIn = new System.IO.StreamReader("stdin.txt");
            SetIn(exStdIn);
            Test();
            */
            Solve();
            io.Flush();
        }
    }

    class IO
    {
        #region INPUT

        #region FastRead

        private const int Size = 1 << 12;
        private readonly Stream _stream = OpenStandardInput();
        private readonly byte[] _buffer = new byte[Size];
        private int _ptr = 0, _buffLen = 0;

        private bool HasNextByte()
        {
            if (_ptr < _buffLen) return true;
            _ptr = 0;
            _buffLen = _stream.Read(_buffer, 0, Size);
            return _buffLen > 0;
        }

        private byte ReadByte()
        {
            if (HasNextByte()) return _buffer[_ptr++];
            else
                //inputの末尾の改行がないとerror
                throw new EndOfStreamException();
        }

        private bool IsAscii(int c) => '!' <= c && c <= '~';

        private char NextChar()
        {
            var b = ReadByte();
            while (!IsAscii(b)) b = ReadByte();
            return (char)b;
        }

        private string Next()
        {
            var sb = new StringBuilder();
            for (var b = NextChar(); IsAscii(b); b = (char)ReadByte()) sb.Append(b);
            return sb.ToString();
        }

        public string String => Next();
        public char Char => NextChar();
        public int Int => int.Parse(Next());
        public long Long => long.Parse(Next());
        public double Double => double.Parse(Next());

        #endregion

        #region LazyRead

        private void scan<T>(ref T x)
        {
            if (x is int) __refvalue(__makeref(x), int) = int.Parse(Next());
            else if (x is long) __refvalue(__makeref(x), long) = long.Parse(Next());
            else if (x is double) __refvalue(__makeref(x), double) = double.Parse(Next());
            else if (x is char) __refvalue(__makeref(x), char) = NextChar();
            else __refvalue(__makeref(x), string) = Next();
        }

        public void i<T>(out T t)
        {
            t = default(T);
            scan(ref t);
        }

        public void i<T, TU>(out T t, out TU u)
        {
            i(out t);
            i(out u);
        }

        public void i<T, TU, TV>(out T t, out TU u, out TV v)
        {
            i(out t, out u);
            i(out v);
        }

        public void i<T, TU, TV, TW>(out T t, out TU u, out TV v, out TW w)
        {
            i(out t, out u);
            i(out v, out w);
        }

        public void i<T, TU, TV, TW, TX>(out T t, out TU u, out TV v, out TW w, out TX x)
        {
            i(out t, out u, out v);
            i(out w, out x);
        }

        public void i<T, TU, TV, TW, TX, TY>(out T t, out TU u, out TV v, out TW w, out TX x, out TY y)
        {
            i(out t, out u, out v);
            i(out w, out x, out y);
        }

        public void ini<T>(out T[] a, int n)
        {
            a = new T[n];
            for (int i = 0; i < n; ++i) i<T>(out a[i]);
        }

        public void ini<T, TU>(out T[] a, out TU[] b, int n)
        {
            a = new T[n];
            b = new TU[n];
            for (int i = 0; i < n; ++i) i<T, TU>(out a[i], out b[i]);
        }

        public void ini<T, TU, TV>(out T[] a, out TU[] b, out TV[] c, int n)
        {
            a = new T[n];
            b = new TU[n];
            c = new TV[n];
            for (var i = 0; i < n; ++i) i<T, TU, TV>(out a[i], out b[i], out c[i]);
        }

        public void ini<T>(out T[,] a, int h, int w)
        {
            a = new T[h, w];
            for (int i = 0; i < h; ++i)
                for (int j = 0; j < w; ++j)
                    i<T>(out a[i, j]);
        }

        #endregion

        #endregion

        #region OUTPUT

        private readonly StreamWriter _sw = new StreamWriter(OpenStandardOutput())
        {
#if DEBUG
            AutoFlush = true
#else
        AutoFlush = false
#endif
        };

        public void Flush() => Out.Flush();
        public void YN(bool f) => yn(f, "YES", "NO");
        public void Yn(bool f) => yn(f, "Yes", "No");
        public void yn(bool f, string y = "yes", string n = "no") => WriteLine(f ? y : n);


        #endregion

        public IO()
        {
            SetOut(_sw);
        }
    }

    static class Util
    {
        public static IEnumerable<TResult> ZIP<T1, T2, TResult>(IEnumerable<T1> xs, IEnumerable<T2> ys,
            Func<T1, T2, TResult> f = null)
        {
            using (var e1 = xs.GetEnumerator())
            using (var e2 = ys.GetEnumerator())
                while (e1.MoveNext() && e2.MoveNext())
                    yield return f(e1.Current, e2.Current);
        }

        public static IEnumerable<Tuple<T1, T2>> ZIP<T1, T2>(IEnumerable<T1> xs, IEnumerable<T2> ys)
            => ZIP(xs, ys, (x, y) => new Tuple<T1, T2>(x, y));

        public static IEnumerable<TResult> ZIP<T1, T2, T3, TResult>(IEnumerable<T1> xs, IEnumerable<T2> ys,
            IEnumerable<T3> zs, Func<T1, T2, T3, TResult> f)
        {
            using (var e1 = xs.GetEnumerator())
            using (var e2 = ys.GetEnumerator())
            using (var e3 = zs.GetEnumerator())
                while (e1.MoveNext() && e2.MoveNext() && e3.MoveNext())
                    yield return f(e1.Current, e2.Current, e3.Current);
        }

        public static IEnumerable<Tuple<T1, T2, T3>> ZIP<T1, T2, T3>(IEnumerable<T1> xs, IEnumerable<T2> ys,
            IEnumerable<T3> zs) => ZIP(xs, ys, zs, (x, y, z) => new Tuple<T1, T2, T3>(x, y, z));

        public static bool ODD(int x) => x % 2 != 0;
        public static bool ODD(long x) => x % 2L != 0L;
        public struct IndexedItem<T>
        {
            public int Idx;
            public T Val;
            public IndexedItem(int idx, T val)
            {
                Idx = idx;
                Val = val;
            }
        }

        public class Counts<T> : Dictionary<T, int>
        {
            public Counts() { }
            public Counts(params T[] xs) : this() { Add(xs); }
            public new int this[T key] {
                get {
                    int v;
                    return this.TryGetValue(key, out v) ? v : 0;
                }
            }
            public void Add(T key)
            {
                if (!base.ContainsKey(key)) base.Add(key, 0);
                base[key]++;
            }
            public void Add(params T[] xs) => xs.Iter(Add);
            public void SortByCount(bool isInc) => (isInc ? (this.OrderBy(kp => kp.Value)) : (this.OrderByDescending(kp => kp.Value))).ThenBy(kp => kp.Key);
        }
    }

    static class Ex
    {
        public static Tuple<IEnumerable<T>, IEnumerable<T>> Split<T>(this IEnumerable<T> xs, Func<T, bool> f)
        {
            var ys = xs.Where(f);
            var zs = xs.Where(x => !f(x));
            return Tuple.Create(ys, zs);
        }
        public static void Iter<T>(this IEnumerable<T> xs, Action<T> f)
        {
            foreach (var x in xs) f(x);
        }
        public static void Prt<T>(this T x) => WriteLine(x);
        public static void Prt<T>(this IEnumerable<T> xs) => xs.Iter(x => WriteLine(x));

        public static IEnumerable<IndexedItem<T>> Indexed<T>(this IEnumerable<T> xs) => xs.Select((x, idx) => new IndexedItem<T>(idx, x));
        public static IEnumerable<T> UnIndexed<T>(this IEnumerable<IndexedItem<T>> xs) => xs.Select(x => x.Val);
    }
}