Fox Ciel is playing a game. In this game there is an infinite long tape with cells indexed by integers (positive, negative and zero). At the beginning she is standing at the cell 0.

There are also n cards, each card has 2 attributes: length li and cost ci. If she pays ci dollars then she can apply i-th card. After applying i-th card she becomes able to make jumps of length li, i. e. from cell x to cell (x - li) or cell (x + li).

She wants to be able to jump to any cell on the tape (possibly, visiting some intermediate cells). For achieving this goal, she wants to buy some cards, paying as little money as possible. 

If this is possible, calculate the minimal cost.

Input

The first line contains an integer n (1 ≤ n ≤ 300), number of cards.

The second line contains n numbers li (1 ≤ li ≤ 109), the jump lengths of cards.

The third line contains n numbers ci (1 ≤ ci ≤ 105), the costs of cards.

Output

If it is impossible to buy some cards and become able to jump to any cell, output -1. Otherwise output the minimal cost of buying such set of cards.

Examples

Input

3
100 99 9900
1 1 1


Output

2


Input

5
10 20 30 40 50
1 1 1 1 1


Output

-1


Input

7
15015 10010 6006 4290 2730 2310 1
1 1 1 1 1 1 10


Output

6


Input

8
4264 4921 6321 6984 2316 8432 6120 1026
4264 4921 6321 6984 2316 8432 6120 1026


Output

7237

Note

In first sample test, buying one card is not enough: for example, if you buy a card with length 100, you can't jump to any cell whose index is not a multiple of 100. The best way is to buy first and second card, that will make you be able to jump to any cell.

In the second sample test, even if you buy all cards, you can't jump to any cell whose index is not a multiple of 10, so you should output -1.
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.IOException;
import java.util.HashMap;
//import java.util.LinkedList;
import java.util.Map;
import java.util.StringTokenizer;

public class FoxAndJumping {
	public static void main(String[] args) {
		MyScanner sc = new MyScanner();
		
		int N = sc.nextInt();
		
		int[] L = sc.nextIntArray(N);
		int[] C = sc.nextIntArray(N);
		
		MinMap map = new MinMap();
//		LinkedList<Long> numQ = new LinkedList<Long>();
//		LinkedList<Long> cstQ = new LinkedList<Long>();
		
//		map.setMin(L[0], C[0]);
//		numQ.addLast((long)L[0]);
//		cstQ.addLast((long)C[0]);
		for (int i = 0; i < N; i++) {
			MinMap tmp = new MinMap();
			for (Map.Entry<Long, Long> e : map.entrySet()) {
				long g = GCD(L[i], e.getKey());
				tmp.setMin(g, C[i] + e.getValue());
			}
//			System.out.println("i = " + i);
//			System.out.println(tmp);
			for (Map.Entry<Long, Long> e : tmp.entrySet()) {
				map.setMin(e.getKey(), e.getValue());
			}
			map.setMin(L[i], C[i]);
//			System.out.println(map);
		}
		
//		for (int i = 0; i < N; i++) {
//			map.setMin(L[i], C[i]);
//			numQ.addLast((long)L[i]);
//			cstQ.addLast((long)C[i]);
//		}
//		
//		while (!numQ.isEmpty()) {
//			long num = numQ.removeFirst();
//			long cst = cstQ.removeFirst();
////			System.out.format("Working on: num = %d, cst = %d\n", num, cst);
//			MinMap tmp = new MinMap();
//			for (Map.Entry<Long, Long> e : map.entrySet()) {
//				long newNum = GCD(num, e.getKey());
//				long newCst = cst + e.getValue();
//				if (newCst < map.getMin(newNum)) {
////					System.out.format("  >> adding: (%d, %d)\n", newNum, newCst);
//					tmp.setMin(newNum, newCst);
//					numQ.addLast(newNum);
//					cstQ.addLast(newCst);
//				}
//			}
//			for (Map.Entry<Long, Long> e : tmp.entrySet()) {
//				map.setMin(e.getKey(), e.getValue());
////				System.out.format("  >> setting: (%d, %d)\n", e.getKey(), e.getValue());
//			}
//		}
		
		if (map.containsKey(1L)) {
			System.out.println(map.get(1L));
		} else {
			System.out.println(-1);
		}
	}
	
    private static long GCD(long a, long b)
    {
        if (a < b)
            return GCD(b, a);

        long r = a % b;
        if (r == 0)
            return b;

        return GCD(b, r);
    }
    
    public static class Item implements Comparable<Item> {
    	public int num;
    	public int cost;
    	
    	public Item(int n, int c) {
    		this.num = n;
    		this.cost = c;
    	}
    	
    	public int compareTo(Item it) {
    		int dc = this.cost - it.cost;
    		if (dc != 0) {
    			return dc;
    		} else {
    			return this.num - it.num;
    		}
    	}
    }
	
	public static class MinMap extends HashMap<Long, Long> {
		private static final long serialVersionUID = -2763000618061982070L;

		public long getMin(long k) {
			return this.containsKey(k) ? this.get(k) : Integer.MAX_VALUE;
		}
		
		public boolean setMin(long k, long v) {
			long c = this.getMin(k);
			if (v < c) {
				this.put(k, v);
				return true;
			} else {
				return false;
			}
		}
	}

	public static class MyScanner {
		BufferedReader br;
		StringTokenizer st;

		public MyScanner() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}

		int nextInt() {
			return Integer.parseInt(next());
		}
		
		int[] nextIntArray(int n) {
			int[] arr = new int[n];
			for (int i = 0; i < n; i++) {
				arr[i] = nextInt();
			}
			return arr;
		}

		long nextLong() {
			return Long.parseLong(next());
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		String next() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}

		String nextLine() {
			String str = "";
			try { str = br.readLine(); }
			catch (IOException e) { e.printStackTrace(); }
			return str;
		}
	}
}