Problem p03170 (C++)

Buggy submission (status: Runtime Error):
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("unroll-loops")
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) (int)((x).size())
#define debug(x) cout << #x << ":" << x << " ";
#define debugg(x) cout << #x << ":" << x << ' ' << "\n";
#define endl "\n"
#define L(X) ((X) << 1)
#define R(X) (((X) << 1) | 1)
#define M(X, Y) (((X) + (Y)) >> 1)

using namespace std;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

const int MAXN = 1e5 + 5;
const int MOD = 1e9 + 7;
const int INF = 0x3f3f3f3f;
const long long int LLINF = 0x3f3f3f3f3f3f3f3f;
const double EPS = 1e-9;
const double PI = acos(-1);

template <typename T> T max_self(T &a, T b) {
  if (a < b)
    a = b;
  return a;
}
template <typename T> T min_self(T &a, T b) {
  if (a > b)
    a = b;
  return a;
}
template <typename T> T add(T x, T y) { return ((x % MOD) + (y % MOD)) % MOD; }
template <typename T> T mul(T x, T y) {
  return ((x % MOD) * (long long)(y % MOD)) % MOD;
}
template <typename T> T sub(T x, T y) { return add(x, -y + MOD); }
template <typename T> T gcd(T a, T b) { return b ? gcd(b, a % b) : a; }
template <typename T> T lcm(T a, T b) { return a / gcd(a, b) * b; }
template <typename T> vector<T> read(vector<T> &v, int n) {
  v.resize(n);
  for (auto &x : v)
    cin >> x;
}
template <typename T> void trav(vector<T> &v) {
  for (int i = 0; i < (int)v.size(); ++i) {
    cout << v[i];
    if (i != (int)v.size() - 1)
      cout << ' ';
  }
}
int lg2(long long x) { return 64 - __builtin_clzll(x) - 1; }
int lg2(int x) { return 32 - __builtin_clzll(x) - 1; }

int n, k, a[MAXN];
bool dp[MAXN];

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);

  cin >> n >> k;

  for (int i = 0; i < n; ++i) {
    cin >> a[i];
  }

  dp[0] = false;

  for (int i = 0; i <= k; ++i) {
    if (dp[i] == false) {
      for (int j = 0; j < n; ++j) {
        dp[i + a[j]] = true;
      }
    }
  }

  string ans = "First";

  if (!dp[k])
    ans = "Second";

  cout << ans << endl;

  return 0;
}


Fixed submission:
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("unroll-loops")
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define sz(x) (int)((x).size())
#define debug(x) cout << #x << ":" << x << " ";
#define debugg(x) cout << #x << ":" << x << ' ' << "\n";
#define endl "\n"
#define L(X) ((X) << 1)
#define R(X) (((X) << 1) | 1)
#define M(X, Y) (((X) + (Y)) >> 1)

using namespace std;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;

const int MAXN = 1e5 + 5;
const int MOD = 1e9 + 7;
const int INF = 0x3f3f3f3f;
const long long int LLINF = 0x3f3f3f3f3f3f3f3f;
const double EPS = 1e-9;
const double PI = acos(-1);

template <typename T> T max_self(T &a, T b) {
  if (a < b)
    a = b;
  return a;
}
template <typename T> T min_self(T &a, T b) {
  if (a > b)
    a = b;
  return a;
}
template <typename T> T add(T x, T y) { return ((x % MOD) + (y % MOD)) % MOD; }
template <typename T> T mul(T x, T y) {
  return ((x % MOD) * (long long)(y % MOD)) % MOD;
}
template <typename T> T sub(T x, T y) { return add(x, -y + MOD); }
template <typename T> T gcd(T a, T b) { return b ? gcd(b, a % b) : a; }
template <typename T> T lcm(T a, T b) { return a / gcd(a, b) * b; }
template <typename T> vector<T> read(vector<T> &v, int n) {
  v.resize(n);
  for (auto &x : v)
    cin >> x;
}
template <typename T> void trav(vector<T> &v) {
  for (int i = 0; i < (int)v.size(); ++i) {
    cout << v[i];
    if (i != (int)v.size() - 1)
      cout << ' ';
  }
}
int lg2(long long x) { return 64 - __builtin_clzll(x) - 1; }
int lg2(int x) { return 32 - __builtin_clzll(x) - 1; }

int n, k, a[MAXN];
bool dp[MAXN];

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);

  cin >> n >> k;

  for (int i = 0; i < n; ++i) {
    cin >> a[i];
  }

  dp[0] = false;

  for (int i = 0; i <= k; ++i) {
    if (dp[i] == false) {
      for (int j = 0; j < n; ++j) {
        if (i + a[j] <= k)
          dp[i + a[j]] = true;
      }
    }
  }

  string ans = "First";

  if (!dp[k])
    ans = "Second";

  cout << ans << endl;

  return 0;
}