Problem:
Score : 200 points

Problem Statement

Raccoon is fighting with a monster.

The health of the monster is H.

Raccoon can use N kinds of special moves. Using the i-th move decreases the monster's health by A_i.
There is no other way to decrease the monster's health.

Raccoon wins when the monster's health becomes 0 or below.

If Raccoon can win without using the same move twice or more, print Yes; otherwise, print No.

Constraints

1 \leq H \leq 10^9

1 \leq N \leq 10^5

1 \leq A_i \leq 10^4

All values in input are integers.

Input

Input is given from Standard Input in the following format:

H N
A_1 A_2 ... A_N

Output

If Raccoon can win without using the same move twice or more, print Yes; otherwise, print No.

Sample Input 1

10 3
4 5 6

Sample Output 1

Yes

The monster's health will become 0 or below after, for example, using the second and third moves.

Sample Input 2

20 3
4 5 6

Sample Output 2

No

Sample Input 3

210 5
31 41 59 26 53

Sample Output 3

Yes

Sample Input 4

211 5
31 41 59 26 53

Sample Output 4

No

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <cmath>
#include <vector>
#include <string>
#include <map>
#include <algorithm>
#include <numeric>
#include <fstream>

using ll = long long;

template<class T> std::ostream& operator << (std::ostream& os, std::vector< T > v)
{
  for (ll i = 0; i < (ll)v.size(); i++){ os << " [" << i << "]" << v[i]; if (i % 10 == 9) os << std::endl; }
  //os << v[0]; for (ll i = 1; i < (ll)v.size(); i++){ os << " " << v[i]; }
  return os;
}

void print(){ std::cout << std::endl; }
template<typename H> void print(H head) { std::cout << head << std::endl; }
template<typename H, typename... T> void print(H head, T... tail){ std::cout << head << " ", print(tail...); }

int main()
{
  ll H, N;
  std::cin >> H >> N;

  std::vector<ll> va(N, 0LL);
  for (ll i = 0; i < N; ++i) {
    std::cin >> va[i];
  }
  ll sum = std::accumulate(va.begin(), va.end(), 0LL);

  if (sum >= H) {
    print("Yes");
  } else {
    print("No");
  }
  return 0;
}