Dima has a hamsters farm. Soon N hamsters will grow up on it and Dima will sell them in a city nearby.

Hamsters should be transported in boxes. If some box is not completely full, the hamsters in it are bored, that's why each box should be completely full with hamsters.

Dima can buy boxes at a factory. The factory produces boxes of K kinds, boxes of the i-th kind can contain in themselves ai hamsters. Dima can buy any amount of boxes, but he should buy boxes of only one kind to get a wholesale discount.

Of course, Dima would buy boxes in such a way that each box can be completely filled with hamsters and transported to the city. If there is no place for some hamsters, Dima will leave them on the farm.

Find out how many boxes and of which type should Dima buy to transport maximum number of hamsters.

Input

The first line contains two integers N and K (0 ≤ N ≤ 1018, 1 ≤ K ≤ 105) — the number of hamsters that will grow up on Dima's farm and the number of types of boxes that the factory produces.

The second line contains K integers a1, a2, ..., aK (1 ≤ ai ≤ 1018 for all i) — the capacities of boxes.

Output

Output two integers: the type of boxes that Dima should buy and the number of boxes of that type Dima should buy. Types of boxes are numbered from 1 to K in the order they are given in input.

If there are many correct answers, output any of them.

Examples

Input

19 3
5 4 10


Output

2 4


Input

28 3
5 6 30


Output

1 5
import java.io.*;
import java.util.*;
import java.math.BigInteger;
public class Main {
    private static StringBuilder sb = new StringBuilder();
    private static void s(String s){
        System.out.print(s);
    }
    private static void s(Double s){
        System.out.print(s);
    }
    private static void s(char s){
        System.out.print(s);
    }
    private static void sn(String s){
        System.out.println(s);
    }
    private static void sn(Boolean s){
        System.out.println(s);
    }
    private static void sn(long s){
        System.out.println(s);
    }
    private static void sn(Double s){
        System.out.println(s);
    }
    private static void sn(String s, Object o){
        sb.append(s+"\n");
    }
    private static void sn(long s, Object o){
        sb.append(s+"\n");
    }
    private static void sn(boolean s, Object o){
        sb.append(s+"\n");
    }
    private static void pr() throws Exception{
        BufferedWriter bw =new BufferedWriter(new OutputStreamWriter(System.out));
        bw.write(sb.toString());
        bw.flush();
    }
    static class Reader{
        final private int BUFFER_SIZE = 1 << 16;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;
 
        public Reader()
        {
            din = new DataInputStream(System.in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }
 
        public Reader(String file_name) throws IOException
        {
            din = new DataInputStream(new FileInputStream(file_name));
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }
 
        public String readLine() throws IOException
        {
            byte[] buf = new byte[51]; // line length
            int cnt = 0, c;
            while ((c = read()) != -1)
            {
                if (c == '\n')
                    break;
                buf[cnt++] = (byte) c;
            }
            return new String(buf, 0, cnt);
        }
 
        public int nextInt() throws IOException
        {
            int ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do
            {
                ret = ret * 10 + c - '0';
            }  while ((c = read()) >= '0' && c <= '9');
 
            if (neg)
                return -ret;
            return ret;
        }
 
        public long nextLong() throws IOException
        {
            long ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }
 
        public double nextDouble() throws IOException
        {
            double ret = 0, div = 1;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
 
            do {
                ret = ret * 10 + c - '0';
            }
            while ((c = read()) >= '0' && c <= '9');
 
            if (c == '.')
            {
                while ((c = read()) >= '0' && c <= '9')
                {
                    ret += (c - '0') / (div *= 10);
                }
            }
 
            if (neg)
                return -ret;
            return ret;
        }
 
        private void fillBuffer() throws IOException
        {
            bytesRead = din.read(buffer, bufferPointer = 0, BUFFER_SIZE);
            if (bytesRead == -1)
                buffer[0] = -1;
        }
 
        private byte read() throws IOException
        {
            if (bufferPointer == bytesRead)
                fillBuffer();
            return buffer[bufferPointer++];
        }
 
        public void close() throws IOException
        {
            if (din == null)
                return;
            din.close();
        }
    }
    private static boolean isPrime(Integer ii){
        return new BigInteger(ii+"").isProbablePrime(1);
    }
    private static boolean isDigit(int ii){
        return Character.isDigit((char)ii);
    }
    private static long fact(int f){
        if(f==0){
            return 1;
        }
        return (long)f * (long)fact(f-1);
    }
    /*static int ar[] = new int[1000000];
    static {
        Arrays.fill(ar, 1000070);
        ar[0]=0;
        int arrr[] = new int[]{2,3,5,7};
        for(int i=0;i<4;i++){
            for(int ii=0;ii<1000000;ii++){
                if(ii>=arrr[i]){
                    ar[ii] = Math.min(ar[ii], 1+ar[ii-arrr[i]]);
                }
            }
        }
    }*/
    /*static{
        Arrays.fill(prime, true);
        for(int p = 2; p*p <=1000070; p++)
        {
            // If prime[p] is not changed, then it is a prime
            if(prime[p] == true)
            {
                // Update all multiples of p
                for(int i = p*2; i <= 1000070; i += p)
                    prime[i] = false;
            }
        }
        int nc = 0;
        for(int p = 2; p <=1000070; p++)
        {
            if(prime[p] == true && prime[(p+1)/2] == true)
            {
                prr[p]+=nc+1;
                nc = prr[p];
            }
        }
    }*/
    private static Reader r = new Reader();
    private static int ni() throws Exception{
        return r.nextInt();
    }
    private static String ns() throws Exception{
            return r.readLine();
        }
    private static long nl() throws Exception{
        return r.nextLong();
    }
    private static int[] na(int a) throws Exception{
        int arr[] = new int[a];
        for(int i=0;i<a;i++){
            arr[i] = r.nextInt();
        }
        return arr;
    }
    private static long[] nal(int a) throws Exception{
        long arr[] = new long[a];
        for(int i=0;i<a;i++){
            arr[i] = r.nextLong();
        }
        return arr;
    }
    private static boolean isSquare(int a){
        double sqt = Math.sqrt(a);
        return (int)sqt == sqt;
    }
    private static int lSquare(int a){
        double sqt = Math.sqrt(a);
        return (int)sqt * (int) sqt;
    }
    private static int rSquare(int a){
        double sqt = Math.sqrt(a);
        return (int)Math.ceil(sqt) * (int)Math.ceil(sqt);
    }
    private static int parent[] = new int[200005];
    private static boolean visit[] = new boolean[200005];
    private static void init(){
    	for(int i=0;i<200005;i++){
    		parent[i] = 0;
    	}
    	for(int i=0;i<200005;i++){
    		visit[i] = false;
    	}
    }
	private static void bfs(int size[], int ans, List[] list, int start, int end, Queue<Integer> q){
    	while(!q.isEmpty()){
    		int temp = q.remove();
    		visit[temp] = true;
    		for(int i=0;i<list[temp].size();i++){
    			if(!visit[(int)list[temp].get(i)] && end == (int)list[temp].get(i)){
    				parent[end] = temp;
    				visit[(int)list[temp].get(i)] = true;
    				return;
    			}
    			if(!visit[(int)list[temp].get(i)]){
    				q.add((int)list[temp].get(i));
    				parent[(int)list[temp].get(i)] = temp;
    			}
    		}
    	}
    }
    public static int dfs(List []list, int arr[], int k, int i, int ii){
        if(i==1 && arr[i]!=arr[ii]){
            return -1;
        }
        if(arr[i] == arr[ii]){
            k--;
            if(k==0){
                return i;
            }
        }
        for(int j=0;j<list[i].size();j++){
            return dfs(list, arr, k, (int)list[i].get(j), ii);
        }
        return -1;
        }
        private static boolean isPerfectSquare(int n){
            if((int)Math.sqrt(n) * (int)Math.sqrt(n) == n){
                return true;
            }
            return false;
        }
        static void printSubsets(char set[])
    {
        int n = set.length;
 
        // Run a loop for printing all 2^n
        // subsets one by obe
        for (int i = 0; i < (1<<n); i++)
        {
            System.out.print("{ ");
 
            // Print current subset
            for (int j = 0; j < n; j++)
 
                // (1<<j) is a number with jth bit 1
                // so when we 'and' them with the
                // subset number we get which numbers
                // are present in the subset and which
                // are not
                if ((i & (1 << j)) > 0)
                    System.out.print(set[j] + " ");
 
            System.out.println("}");
        }
    }
	public static void main (String[] args) throws Exception{
		long n = nl();
		int k = ni();
		long arr[]= nal(k);
		
		int ans = 0;
		long mod = n%arr[0];
		for(int i=1;i<k;i++){
			if(n%arr[i]<mod){
				ans = i;
				mod = n%arr[i];
			}
		}
		sn((ans+1)+" "+n/arr[ans]);
	}
}