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 C++ (GCC 9.2.1) (judge verdict: Accepted)

#include <bits/stdc++.h>

#define int long long
#define fast_io(); ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define loop(i,a,b) for(int i=a;i<b;i++)
#define all(x) x.begin(),x.end()
#define us unordered_set
#define um unordered_map
#define ms multiset
#define mm multimap
#define pb push_back
#define pf push_front
#define ins insert
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second
#define _max max_element
#define _min min_element
#define tc(T) int T; cin>>T; while(T--)
#define q(q) int q; cin>>q; while(q--)
#define pi 3.1415926535897932384626433832
const int pinf=((int)9e18);
const int ninf=((int)-9e18);
const int mod=1000000007;

using namespace std;

int32_t main()
{
    fast_io();

    //FILE *fptr1=freopen("in.txt","r",stdin);
    //FILE *fptr2=freopen("out.txt","w",stdout);


    int n,m;
    cin>>n>>m;

    int s=0;
    loop(i,0,m)
    {
        int x;
        cin>>x;
        s+=x;
    }

    if(s>n)
    {
        cout<< "-1";
    }
    else
    {
        cout<<n-s;
    }


    return 0;
}