Problem:
Score : 200 points

Problem Statement

Takahashi has N days of summer vacation.

His teacher gave him M summer assignments. It will take A_i days for him to do the i-th assignment.

He cannot do multiple assignments on the same day, or hang out on a day he does an assignment.

What is the maximum number of days Takahashi can hang out during the vacation if he finishes all the assignments during this vacation?

If Takahashi cannot finish all the assignments during the vacation, print -1 instead.

Constraints

1 \leq N \leq 10^6

1 \leq M \leq 10^4

1 \leq A_i \leq 10^4

Input

Input is given from Standard Input in the following format:

N M
A_1 ... A_M

Output

Print the maximum number of days Takahashi can hang out during the vacation, or -1.

Sample Input 1

41 2
5 6

Sample Output 1

30

For example, he can do the first assignment on the first 5 days, hang out on the next 30 days, and do the second assignment on the last 6 days of the vacation. In this way, he can safely spend 30 days hanging out.

Sample Input 2

10 2
5 6

Sample Output 2

-1

He cannot finish his assignments.

Sample Input 3

11 2
5 6

Sample Output 3

0

He can finish his assignments, but he will have no time to hang out.

Sample Input 4

314 15
9 26 5 35 8 9 79 3 23 8 46 2 6 43 3

Sample Output 4

9

Solution in Java (OpenJDK 11.0.6) (judge verdict: Wrong Answer)

import java.util.*;
import java.io.*;
import static java.lang.Math.*;

class Main {
    FastIO sc;
    int n;
    int[] dp;
    int M = 1000000007;

    void solve() throws Exception {
          int n = sc.nextInt();
        int m = sc.nextInt();
        int s = 0;
        for (int i = 0; i < m; i++) {
            s += sc.nextInt();
        }
        // System.out.println(s);
        System.out.println(n-s);
    }

    void run() {
        try {
            sc = new FastIO();
            solve();
            sc.close();
        } catch (Exception e) {
            e.printStackTrace();
            System.exit(abs(-1));
        }
    }

    public static void main(String[] args) {
        try {
            Locale.setDefault(Locale.US);
        } catch (Exception ignore) {
        }
        new Main().run();
    }

    class FastIO extends PrintWriter {
        private BufferedReader in;
        private StringTokenizer stok;

        FastIO() {
            super(System.out);
            in = new BufferedReader(new InputStreamReader(System.in));
        }

        FastIO(String s) throws FileNotFoundException {
            super("".equals(s) ? "output.txt" : s + ".out");
            in = new BufferedReader(new FileReader("".equals(s) ? "input.txt" : s + ".in"));
        }

        @Override
        public void close() {
            super.close();
            try {
                in.close();
            } catch (IOException ignored) {
            }
        }

        String next() {
            while (stok == null || !stok.hasMoreTokens()) {
                try {
                    stok = new StringTokenizer(in.readLine());
                } catch (Exception e) {
                    return null;
                }
            }
            return stok.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

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

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

        String nextLine() {
            try {
                return in.readLine();
            } catch (IOException e) {
                return null;
            }
        }

        char[] nextCharArray() {
            return next().toCharArray();
        }
    }

    class Pair {
        int mon, fac;

        Pair(int mon, int fac) {
            this.mon = mon;
            this.fac = fac;
        }
    }

    void randomShuffle(int[] a) {
        Random random = new Random();
        for (int i = 1; i < a.length; i++) {
            int x = random.nextInt(i + 1);
            int xchg = a[i];
            a[i] = a[x];
            a[x] = xchg;
        }
    }

    static boolean even(int n) {
        int r = n & 1;
        return r != 1 ? true : false;
    }
}