Problem:
Score : 200 points

Problem Statement

There are N participants in the CODE FESTIVAL 2016 Qualification contests. The participants are either students in Japan, students from overseas, or neither of these.

Only Japanese students or overseas students can pass the Qualification contests. The students pass when they satisfy the conditions listed below, from the top rank down. Participants who are not students cannot pass the Qualification contests.

A Japanese student passes the Qualification contests if the number of the participants who have already definitively passed is currently fewer than A+B.

An overseas student passes the Qualification contests if the number of the participants who have already definitively passed is currently fewer than A+B and the student ranks B-th or above among all overseas students.

A string S is assigned indicating attributes of all participants. If the i-th character of string S is a, this means the participant ranked i-th in the Qualification contests is a Japanese student; b means the participant ranked i-th is an overseas student; and c means the participant ranked i-th is neither of these.

Write a program that outputs for all the participants in descending rank either Yes if they passed the Qualification contests or No if they did not pass.

Constraints

1≦N,A,B≦100000

A+B≦N

S is N characters long.

S consists only of the letters a, b and c.

Input

Inputs are provided from Standard Input in the following form.

N A B
S

Output

Output N lines. On the i-th line, output Yes if the i-th participant passed the Qualification contests or No if that participant did not pass.

Sample Input 1

10 2 3
abccabaabb

Sample Output 1

Yes
Yes
No
No
Yes
Yes
Yes
No
No
No

The first, second, fifth, sixth, and seventh participants pass the Qualification contests.

Sample Input 2

12 5 2
cabbabaacaba

Sample Output 2

No
Yes
Yes
Yes
Yes
No
Yes
Yes
No
Yes
No
No

The sixth participant is third among overseas students and thus does not pass the Qualification contests.

Sample Input 3

5 2 2
ccccc

Sample Output 3

No
No
No
No
No

Solution in C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;


class Segtree<T>
{
    int n;
    T[] tree;
    Func<T, T, T> f;
    T exnum;
    public Segtree(int m, Func<T, T, T> f, T ex)
    {
        this.f = f;
        this.exnum = ex;
        n = 1;
        while (n < m) n <<= 1;

        tree = new T[(n << 1) - 1];
        for (int i = 0; i < tree.Length; i++) tree[i] = ex;
    }
    public Segtree(int m, T ini, Func<T, T, T> f, T ex)
    {
        this.f = f;
        this.exnum = ex;
        n = 1;
        while (n < m) n <<= 1;

        tree = new T[(n << 1) - 1];
        for (int i = 0; i < tree.Length; i++) tree[i] = ini;
        for (int i = 0; i < m; ++i) update(i, ini);
    }
    public void update(int j, T x)
    {
        int i = j + n - 1;
        tree[i] = x;
        while (i > 0)
        {
            i = (i - 1) >> 1;
            tree[i] = f(tree[(i << 1) + 1], tree[(i << 1) + 2]);
        }
    }
    public T look(int i) { return tree[i + n - 1]; }

    // [s, t]
    public T run(int s, int t) { return query(s, t + 1, 0, 0, n); }
    T query(int s, int t, int k, int l, int r)
    {
        if (r <= s || t <= l) return exnum;
        if (s <= l && r <= t) return tree[k];

        return f(query(s, t, (k << 1) + 1, l, (l + r) >> 1), query(s, t, (k + 1) << 1, (l + r) >> 1, r));
    }
}

class PriorityQueue<T>
{
    private Comparison<T> comp;
    private List<T> list;
    private int count;
    public PriorityQueue() : this((x, y) => ((IComparable<T>)x).CompareTo(y)) { }
    public PriorityQueue(Comparison<T> comparison)
    {
        comp = comparison;
        list = new List<T>();
        count = 0;
    }
    public void Enqueue(T x)
    {
        var pos = count++;
        list.Add(x);
        while (pos > 0)
        {
            var p = (pos - 1) / 2;
            if (comp(list[p], x) <= 0) break;
            list[pos] = list[p];
            pos = p;
        }
        list[pos] = x;
    }
    public T Dequeue()
    {
        var value = list[0];
        var x = list[--count];
        list.RemoveAt(count);
        if (count == 0) return value;
        var pos = 0;
        while (pos * 2 + 1 < count)
        {
            var a = 2 * pos + 1;
            var b = 2 * pos + 2;
            if (b < count && comp(list[b], list[a]) < 0) a = b;
            if (comp(list[a], x) >= 0) break;
            list[pos] = list[a];
            pos = a;
        }
        list[pos] = x;
        return value;
    }
    public T Peek() { return list[0]; }
    public bool Any() { return count > 0; }
    public int Count() { return count; }
}

namespace Codeforces
{
    class Program
    {
        const long InfL = 4011686018427387913L;
        static char[] sep = new char[] { ' ', '/' };

        static int getInt => int.Parse(Console.ReadLine());
        static int[] getIntArr => Console.ReadLine().Split(sep).Select(a => int.Parse(a)).ToArray();
        static List<int> getIntList => Console.ReadLine().Split(sep).Select(a => int.Parse(a)).ToList<int>();
        static string getString => Console.ReadLine().Trim();
        static string[] getStrArr => Console.ReadLine().Split(sep);
        static List<string> getStrList => Console.ReadLine().Split(sep).ToList<string>();


        //static int[] dx = { -1, 0, 1, -1, 1, -1, 0, -1 };
        //static int[] dy = { 1, 1, 1, 0, 0, -1, -1, -1 };

        static int[] dx = { -1, 0, 0, 1 };
        static int[] dy = { 0, 1, -1, 0 };


        /// <summary>
        /// basic dfs function
        /// </summary>
        /// 
        /* List<bool> visited;
        List<List<int>> adj;

        static void dfs(int here)
        {
            visited[here] = true;

            for(int i = 0; i<adj[here].Count; i++)
            {
                int there = adj[here][i];
                if (!visited[there])
                    dfs(there);
            }
        }

        static void dfsAll()
        {
            for(int i = 0; i<adj.Count; i++)
            {
                if (!visited[i]) dfs(i);
            }
        } */

        static void Main(string[] args)
        {
            int[] input = getIntArr;
            string input_str = getString;

            for(int i = 0; i<input[0]; i++)
            {
                if (input_str[i] == 'a' && input[1] != 0)
                {
                    Console.WriteLine("Yes");
                    input[1]--;
                }
                else if (input_str[i] == 'b' && input[2] != 0)
                {
                    Console.WriteLine("Yes");
                    input[2]--;
                }
                else Console.WriteLine("No");
            }
        }
        
        class mymath
        {
            static int Mod = 1000000007;
            public void setMod(int m) { Mod = m; }
            public bool isprime(long a)
            {
                if (a < 2) return false;
                for (long i = 2; i * i <= a; i++) if (a % i == 0) return false;
                return true;
            }
            public bool[] sieve(int n)
            {
                var isp = new bool[n + 1];
                for (int i = 2; i <= n; i++) isp[i] = true;
                for (int i = 2; i * i <= n; i++) if (isp[i]) for (int j = i * i; j <= n; j += i) isp[j] = false;
                return isp;
            }
            public List<int> getprimes(int n)
            {
                var prs = new List<int>();
                var isp = sieve(n);
                for (int i = 2; i <= n; i++) if (isp[i]) prs.Add(i);
                return prs;
            }
            public long[][] E(int n)
            {
                var ret = new long[n][];
                for (int i = 0; i < n; i++)
                {
                    ret[i] = new long[n];
                    ret[i][i] = 1;
                }
                return ret;
            }
            public long[][] powmat(long[][] A, long n)
            {
                if (n == 0) return E(A.Length);
                var t = powmat(A, n / 2);
                if ((n & 1) == 0) return mulmat(t, t);
                return mulmat(mulmat(t, t), A);
            }
            public long[] mulmat(long[][] A, long[] x)
            {
                int n = A.Length, m = x.Length;
                var ans = new long[n];
                for (int i = 0; i < n; i++) for (int j = 0; j < m; j++) ans[i] = (ans[i] + x[j] * A[i][j]) % Mod;
                return ans;
            }
            public long[][] mulmat(long[][] A, long[][] B)
            {
                int n = A.Length, m = B[0].Length, l = B.Length;
                var ans = new long[n][];
                for (int i = 0; i < n; i++)
                {
                    ans[i] = new long[m];
                    for (int j = 0; j < m; j++) for (int k = 0; k < l; k++) ans[i][j] = (ans[i][j] + A[i][k] * B[k][j]) % Mod;
                }
                return ans;
            }
            public long[] addmat(long[] x, long[] y)
            {
                int n = x.Length;
                var ans = new long[n];
                for (int i = 0; i < n; i++) ans[i] = (x[i] + y[i]) % Mod;
                return ans;
            }
            public long[][] addmat(long[][] A, long[][] B)
            {
                int n = A.Length, m = A[0].Length;
                var ans = new long[n][];
                for (int i = 0; i < n; i++) ans[i] = addmat(A[i], B[i]);
                return ans;
            }
            public long powmod(long a, long b)
            {
                if (a >= Mod) return powmod(a % Mod, b);
                if (a == 0) return 0;
                if (b == 0) return 1;
                var t = powmod(a, b / 2);
                if ((b & 1) == 0) return t * t % Mod;
                return t * t % Mod * a % Mod;
            }
            public long inv(long a) { return powmod(a, Mod - 2); }
            public long gcd(long a, long b)
            {
                while (b > 0) { var t = a % b; a = b; b = t; }
                return a;
            }
            public long lcm(long a, long b) { return a * (b / gcd(a, b)); }
            public long Comb(int n, int r)
            {
                if (n < 0 || r < 0 || r > n) return 0;
                if (n - r < r) r = n - r;
                if (r == 0) return 1;
                if (r == 1) return n;
                var numerator = new int[r];
                var denominator = new int[r];
                for (int k = 0; k < r; k++)
                {
                    numerator[k] = n - r + k + 1;
                    denominator[k] = k + 1;
                }
                for (int p = 2; p <= r; p++)
                {
                    int pivot = denominator[p - 1];
                    if (pivot > 1)
                    {
                        int offset = (n - r) % p;
                        for (int k = p - 1; k < r; k += p)
                        {
                            numerator[k - offset] /= pivot;
                            denominator[k] /= pivot;
                        }
                    }
                }
                long result = 1;
                for (int k = 0; k < r; k++) if (numerator[k] > 1) result = result * numerator[k] % Mod;
                return result;
            }
        }
    }
}