Nadeko's birthday is approaching! As she decorated the room for the party, a long garland of Dianthus-shaped paper pieces was placed on a prominent part of the wall. Brother Koyomi will like it!

Still unsatisfied with the garland, Nadeko decided to polish it again. The garland has n pieces numbered from 1 to n from left to right, and the i-th piece has a colour si, denoted by a lowercase English letter. Nadeko will repaint at most m of the pieces to give each of them an arbitrary new colour (still denoted by a lowercase English letter). After this work, she finds out all subsegments of the garland containing pieces of only colour c — Brother Koyomi's favourite one, and takes the length of the longest among them to be the Koyomity of the garland.

For instance, let's say the garland is represented by "kooomo", and Brother Koyomi's favourite colour is "o". Among all subsegments containing pieces of "o" only, "ooo" is the longest, with a length of 3. Thus the Koyomity of this garland equals 3.

But problem arises as Nadeko is unsure about Brother Koyomi's favourite colour, and has swaying ideas on the amount of work to do. She has q plans on this, each of which can be expressed as a pair of an integer mi and a lowercase letter ci, meanings of which are explained above. You are to find out the maximum Koyomity achievable after repainting the garland according to each plan.

Input

The first line of input contains a positive integer n (1 ≤ n ≤ 1 500) — the length of the garland.

The second line contains n lowercase English letters s1s2... sn as a string — the initial colours of paper pieces on the garland.

The third line contains a positive integer q (1 ≤ q ≤ 200 000) — the number of plans Nadeko has.

The next q lines describe one plan each: the i-th among them contains an integer mi (1 ≤ mi ≤ n) — the maximum amount of pieces to repaint, followed by a space, then by a lowercase English letter ci — Koyomi's possible favourite colour.

Output

Output q lines: for each work plan, output one line containing an integer — the largest Koyomity achievable after repainting the garland according to it.

Examples

Input

6
koyomi
3
1 o
4 o
4 m


Output

3
6
5


Input

15
yamatonadeshiko
10
1 a
2 a
3 a
4 a
5 a
1 b
2 b
3 b
4 b
5 b


Output

3
4
5
7
8
1
2
3
4
5


Input

10
aaaaaaaaaa
2
10 b
10 z


Output

10
10

Note

In the first sample, there are three plans: 

  * In the first plan, at most 1 piece can be repainted. Repainting the "y" piece to become "o" results in "kooomi", whose Koyomity of 3 is the best achievable; 
  * In the second plan, at most 4 pieces can be repainted, and "oooooo" results in a Koyomity of 6; 
  * In the third plan, at most 4 pieces can be repainted, and "mmmmmi" and "kmmmmm" both result in a Koyomity of 5. 
import java.io.*;
    import java.math.BigInteger;
import java.text.DecimalFormat;
import java.util.*;
 

 
     
     
    public  class Main {
    	public static InputReader in;
        public static PrintWriter pw;
     
     
     
    	public static void main(String args[]) 
    	{
    		new Thread(null, new Runnable() {
                public void run() {
                    try{
                        solve();
                    }
                    catch(Exception e){
                        e.printStackTrace();
                    }
                }
            }, "1", 1 << 26).start();
        }
    	static ArrayList<Integer> g[];
    	static ArrayList<Integer> h[];
    	static boolean visited[];
    	static int[] parent;
    	static int par[];
    	static int degree[];
    	static int edjes=0;
    	static int start=-1;
    	static int end=-1;
    	static int Total=0;
    	static int time1[];
    	static int time2[];
    	static int glob=0;
    	static int[] ans;
    	static boolean vis2[][];
    	//static long sum1=0;
    	//static long val[];
        static ArrayList<Integer> levels[];
        static int max=0;
        static int lev=1;
        static ArrayList<Integer> nodes[];
        static ArrayList<Integer> values[];
        static int depth[];
        static boolean found=false;
       // static long sm[];
        static int sum1=0;
        static int pre[][];
        static int subtree[];
       static  int cnt=0;
       static  HashMap<String,Integer> hm;
       static int sm[];
       static int size[];
       static long mul[];
       static long d[]=new long[1000000];
       static int tot=0;
       static long highest=(long)1e9;
       static boolean bit=false;
        static Stack<Integer> tt=new Stack();
       static HashSet<Character> set;
 	   static long fact[],num[];
 	   static long MOD=1000000007;
 	   static int value[];static int premen[];
 	   static int count=0,index=0;
 	   static double ans11[];
 	   static int price[];
 	   static ArrayList<String> hp[][];
 	   static boolean visit[][];
 	   static int cnu[]=new int[1000001];
 	   static int label=1;
 	   static int his[][];
 	   static int size1=0;
 	   static int up[],down[];
 	   static int TotalUp=0;
 	   static long dist[];
 	//   static HashMap<String,Integer> hm1=new HashMap();
 	  // static HashMap<Integer,Integer> hm2=new HashMap();
 	   static TreeSet<Long> set1=new TreeSet();
 	  static  long DP[][][]=new long[20][200][1500];
 	 	static int t=-1,n=-1;
 	 	static int two[],min[],r[];
 	 	static int total[];static int black[];
 	 	static int Parent[];
 	 	static int max2[];
 	 	static int tin[],tout[],a[];
 	 public static void solve() throws FileNotFoundException{
    		
    	
    		 in = new InputReader(System.in);
    		 pw = new PrintWriter(System.out);  
    	/*	 String p=in.readString();
    	     char c[]=p.toCharArray();
    	     int z[]=new int[p.length()];
    	     z[0]=0;
    	     int left=0;
    	     int right=0;
    	     for(int i=1;i<p.length();i++)
    	     {
    	    	 if(i>right)
    	    	 {
    	    		 
    	    		 left=right=i;
    	    		 while(right<p.length()&&c[right]==c[right-left])
    	    			 right++;
    	    		 z[i]=right-left;
    	    		 right--;
    	    	 }
    	    	 else
    	    	 {
    	    		 int k=i-left;
    	    		 if(z[k]<right-i+1)
    	    		 {
    	    			 z[i]=z[k];
    	    		 }
    	    		 else
    	    		 {
    	    			 left=i;
    	    			 while(right<p.length()&&c[right]==c[right-left])
        	    			 right++;
        	    		 z[i]=right-left;
        	    		 right--;
    	    		 }
    	    	 }
    	    	  
    	     }*/
    		 int n=in.nextInt();
             String s=in.readString();
            char c[]=s.toCharArray();
            int a[][]=new int[n][26];
            for(int i=0;i<n;i++)
            {
            	a[i][c[i]-'a']++;
            }
            for(int i=0;i<26;i++)
            {
            	for(int j=1;j<n;j++)
            	{
            		a[j][i]+=a[j-1][i];
            	}
            }
           // int start[][][]=new int[n+1][n+1][26];
            int now[][]=new int[n+1][26];
            for(int k=0;k<26;k++)
            {
            	char ch=(char)(k+97);
            for(int i=0;i<n;i++)
            {
            	int x=(int)(c[i]-'a');
            	
            	int cp=0;
            	     if(x==k)
            	     {
            		 cp=1;
            		 now[0][k]=Math.max(now[0][k],1);
            	     }
            	     else
            	     {
            	    	 now[1][k]=Math.max(now[1][k],1);
            	     }
            	for(int j=i+1;j<n;j++)
            	{
            		if(c[j]==ch)
            		{
            			cp++;
            		}
            		int diff=(j-i+1)-cp;
            		now[diff][k]=Math.max(now[diff][k],j-i+1);
            	}
            	}
            }
            for(int k=0;k<26;k++)
            {
            	for(int j=0;j<n;j++)
            	{
            		now[j+1][k]=Math.max(now[j+1][k],now[j][k]);
            	}
            }
            
          //  System.out.println(start[4][14]);
            
             int q=in.nextInt();
             while(q-->0)
             {
            	 int m=in.nextInt();
            	// System.o
            	 int ans=0;
            	 char ch=in.readString().charAt(0);int x=(int)(ch-'a');
            	 int max=0;       	 
            	 for(int i=0;i<26;i++)
            	        	 {
            	        	max=Math.max(max, now[m][x]);	 
            	        	 }
            	System.out.println(max);
             }
    		}
 	 
 	 public static void bfs(int x)
 	 {
 		 visited[x]=true;
 		 Queue<Integer> Q=new LinkedList<Integer>();
 		 Q.add(x);
 		 while(!Q.isEmpty())
 		 {
 			 int count=Q.size();
 			 while(count>0)
 			 {
 				 int p=Q.poll();
 				 visited[p]=true;
 				 for(int y:g[p])
 				 {
 					 if(!visited[y])
 					 {
 						 Q.add(y);
 					 }
 				 }
 				 count--;
 			 }
 		 }
 	 }
 	 public static void depth(int curr,int parent)
 	 {
 		 visited[curr]=true;
 		 for(int x:g[curr])
 		 {
 			 if(!visited[x])
 			 {
 				 depth[x]=depth[curr]+1;
 				 depth(x,curr);
 			 }
 		 }
 	 }
 	
 	 static int Par[]=new int[202];
 	 public static void Height(int cur,int par){
 		 Par[cur]=par;
 		 visited[cur]=true;
 		 int t=0;
 		 for(int x:g[cur])
 		 {
 			 if(!visited[x])
 			 { 
 				 t++;
 				 Height(x,cur);
 				 high[cur]=Math.max(high[cur], high[x]+1);
 			 }
 		 }
 		 if(t==0)
 		 {
 			 high[cur]=0;
 		 }
 	
 	 }
 	 static int dia[]=new int[202];
 	 static int high[]=new int[292];
 	 public static void Diameter(int curr,int parent)
 	 {
 		visited[curr]=true;
 		int trees=0;
 		ArrayList<Integer> set=new ArrayList();
 	
 		for(int x:g[curr])
 		{
 			if(!visited[x])
 			{
 				trees++;
 				Diameter(x,curr);
 				dia[curr]=Math.max(dia[curr],high[x]);
 				set.add(high[x]);
 			}
 		}
 		if(set.size()>=2)
 		{
 			Collections.sort(set,Collections.reverseOrder());
 			dia[curr]=Math.max(dia[curr],set.get(0)+set.get(1)+2);
 		}
 		else if(set.size()>0)
 		{
 			dia[curr]=Math.max(dia[curr],set.get(0)+1);
 		}
 		if(trees==0)
 		{
 			dia[curr]=0;
 		}

 	 }
 	 
      	 
 	 public static boolean IsPal(String s)
 	 {
 		 char c[]=s.toCharArray();
 		 for(int i=0;i<c.length/2;i++)
 		 {
 			 if(c[i]!=c[s.length()-1-i])
 				 return false;
 		 }
 		 return true;
 	 }
 	public static void Merge(long[] a,int p,int r){
        if(p<r){
            int q = (p+r)/2;
            Merge(a,p,q);
            Merge(a,q+1,r);
            Merge_Array(a,p,q,r);
        }
    }
    public static void Merge_Array(long a[],int p,int q,int r){
       long b[] = new long[q-p+1];
        long c[] = new long[r-q];
        for(int i=0;i<b.length;i++)
            b[i] = a[p+i];
        for(int i=0;i<c.length;i++)
            c[i] = a[q+i+1];
        int i = 0,j = 0;
        for(int k=p;k<=r;k++){
            if(i==b.length){
                a[k] = c[j];
                j++;
            }
            else if(j==c.length){
                a[k] = b[i];
                i++;
            }
            else if(b[i]<c[j]){
                a[k] = b[i];
                i++;
            }
            else{
                a[k] = c[j];
                j++;
            }
        }
    }
 	 
 	 
 	 
 	
 	
       
 	  public static void dfs1(int curr,int parent)
 	  {
 		  visited[curr]=true;
 		  
 		  for(int x:g[curr])
 		  {
 			  
 			  if(x==parent)continue;
 			  depth[x]=depth[curr]+1;
 			  up[x]=up[curr];
 			  if(h[x].contains(curr)){
 				  up[x]++;
 				  TotalUp++;
 			  }
 			  dfs1(x,curr);
 		  }
 	  }
 	 
        
        
        public static void dfs(int curr,int Parent)
        {
        	visited[curr]=true;
        	size[curr]=1;
        	parent[curr]=Parent;
        	count++;
        	if(value[curr]>0)
        	{
        		index=value[curr];
        	}
        	for(int x:g[curr])
        	{
        		if(!visited[x])
        		{
        			dfs(x,curr);
        			size[curr]+=size[x];
        		}
        	}
        }
        static long ncr(long a, long b){
			if(b>a || b<0) return 0;
			long f = (fact[(int) a]*modInverse(((fact[(int) b]*fact[(int) (a-b)])%MOD), MOD))%MOD;
			return f;
		}
		static long modInverse(long a, long mOD2){
            return  power(a, mOD2-2, mOD2);
}
static long power(long x, long y, long m)
{
    if (y == 0)
        return 1;
    long p = power(x, y/2, m) % m;
    p = (p * p) % m;
 
    return (y%2 == 0)? p : (x * p) % m;
}
 
        public static long gcd(long x, long y) {
    		if (x == 0)
    			return y;
    		else
    			return gcd( y % x,x);
    	}	
        public static long power(long a,long b)
		{
			long result=1;
			while(b>0)
			{
				if(b%2==1)
					result*=a;
				a=a*a;
				b/=2;
			}
			return result;
		}
        static class Pair implements Comparable<Pair>{
        	    int l;int r;
        		Pair(int val,int index){
        	     	this.l=val;
        			this.r=index;
        		}
        		@Override
        		public int compareTo(Pair o) {
                         return 1;
        		}
        				
        	}
    	static class InputReader {
     
    		private InputStream stream;
    		private byte[] buf = new byte[8192];
    		private int curChar, snumChars;
    		private SpaceCharFilter filter;
     
    		public InputReader(InputStream stream) {
    			this.stream = stream;
    		}
     
    		public int snext() {
    			if (snumChars == -1)
    				throw new InputMismatchException();
    			if (curChar >= snumChars) {
    				curChar = 0;
    				try {
    					snumChars = stream.read(buf);
    				} catch (IOException e) {
    					throw new InputMismatchException();
    				}
    				if (snumChars <= 0)
    					return -1;
    			}
    			return buf[curChar++];
    		}
     
    		public   int nextInt() {
    			int c = snext();
    			while (isSpaceChar(c))
    				c = snext();
    			int sgn = 1;
    			if (c == '-') {
    				sgn = -1;
    				c = snext();
    			}
    			int res = 0;
    			do {
    				if (c < '0' || c > '9')
    					throw new InputMismatchException();
    				res *= 10;
    				res += c - '0';
    				c = snext();
    			} while (!isSpaceChar(c));
    			return res * sgn;
    		}
     
    		public long nextLong() {
    			int c = snext();
    			while (isSpaceChar(c))
    				c = snext();
    			int sgn = 1;
    			if (c == '-') {
    				sgn = -1;
    				c = snext();
    			}
    			long res = 0;
    			do {
    				if (c < '0' || c > '9')
    					throw new InputMismatchException();
    				res *= 10;
    				res += c - '0';
    				c = snext();
    			} while (!isSpaceChar(c));
    			return res * sgn;
    		}
     
    		public int[] nextIntArray(int n) {
    			int a[] = new int[n];
    			for (int i = 0; i < n; i++)
    				a[i] = nextInt();
    			return a;
    		}
     
    		public String readString() {
    			int c = snext();
    			while (isSpaceChar(c))
    				c = snext();
    			StringBuilder res = new StringBuilder();
    			do {
    				res.appendCodePoint(c);
    				c = snext();
    			} while (!isSpaceChar(c));
    			return res.toString();
    		}
     
    		public boolean isSpaceChar(int c) {
    			if (filter != null)
    				return filter.isSpaceChar(c);
    			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    		}
     
    		public interface SpaceCharFilter {
    			public boolean isSpaceChar(int ch);
    		}
    	}
    }
 