Problem:
Problem G: First Kiss
Problem
ビット君の通う男子校では昼休みにキッポーゲームが行われている。
この学校のキッポーゲームは少し変わっていることで有名だ。
まず、$N$本のキッポーを用意する。$i$本目のキッポーの長さは$a_i$である。
先手と後手が交互にキッポーを食べる。
すごい長さのキッポーを一気に食べると喉に刺さってしまうので、$1$以上$D$以下の好きな長さだけ食べる。
彼らは不器用なので、整数長でのみキッポーを食べることができる。
最初にいずれかのキッポーが食べつくされたとき、食べきった人の負けとなる。
両者が最適に行動したとき、先手が勝つなら"First"、後手が勝つなら"Second"を出力せよ。
Input
入力は以下の形式で与えられる。
$N$ $D$
$a_1$ $a_2$ $...$ $a_N$
入力はすべて整数で与えられる。
Constraints
入力は以下の条件を満たす。
$1 \le N \le 3\times 10^5$
$1 \le D \le 10^9$
$1 \le a_i \le 10^9$
Output
両者が最適に行動したとき、どちらが勝つか出力せよ。
先手が勝つなら"First"、後手が勝つなら"Second"を出力せよ。
Sample Input 1
1 1
2
Sample Output 1
First
Sample Input 2
2 25
19 19
Sample Output 2
Second
Sample Input 3
3 5
10 8 4
Sample Output 3
First
Sample Input 4
4 10
3 8 5 2
Sample Output 4
Second

Submitted solutions:

code_snippet: #include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using pll = pair<ll, ll>;
using vl = vector<ll>;
template <class T> using vec = vector<T>;
template <class T> using vv = vec<vec<T>>;
template <class T> using vvv = vv<vec<T>>;
template <class T> using minpq = priority_queue<T, vector<T>, greater<T>>;
#define all(a) (a).begin(),(a).end()
#define rep(i, n) for (ll i = 0; i < (n); ++i)
#define reps(i, l, r) for(ll i = (l); i < (r); ++i)
#define rrep(i, l, r) for(ll i = (r)-1; i >= (l); --i)
#define sz(x) (ll) (x).size()
template <typename T>
bool chmax(T &a, const T& b) { return a < b ? a = b, true : false; }
template <typename T>
bool chmin(T &a, const T& b) { return a > b ? a = b, true : false; }

#define EPS (1e-10)
#define equals(a, b) (fabs((a) - (b)) < EPS)
class Point {
public:
    ld x;
    ld y;
    Point(ld _x = 0, ld _y = 0) : x(_x), y(_y) {}
    Point operator+(Point p) { return Point(x + p.x, y + p.y); }
    Point operator-(Point p) { return Point(x - p.x, y - p.y); }
    Point operator*(ld a) { return Point(a * x, a * y); }
    Point operator/(ld a) { return Point(x / a, y / a); }

    ld abs() { return sqrt(norm()); }
ld norm() { return x * x + y * y; }

    bool operator<(const Point& p) const {
        return !equals(x, p.x) ? x < p.x : y < p.y;
    }
    bool operator==(const Point& p) const {
        return fabs(x - p.x) < (1e-10) && fabs(y - p.y) < (1e-10);
    }
};
typedef Point Vector;
struct Segment {
    Point A;
    Point B;
};
typedef Segment Line;
class Circle {
public:
    Point C;
    ld r;
    Circle(Point C = Point(), ld r = 0.0) : C(C), r(r) {}
};
typedef vector<Point> Polygon;

struct Edge {
    ll from, to, cost;
    Edge (ll from, ll to, ll cost = 1ll) : from(from), to(to), cost(cost) {}
};
struct Graph {
    vector<vector<Edge>> G;
    Graph() = default;
    explicit Graph(ll N) : G(N) {}
    size_t size() const {
        return G.size();
    }
    void add(ll from, ll to, ll cost = 1ll, bool direct = 0) {
        G[from].emplace_back(from, to, cost);
        if (!direct) G[to].emplace_back(to, from, cost);
    }
    vector<Edge> &operator[](const int &k) {
        return G[k];
    }
};
using Edges = vector<Edge>;

void solve(){
    ll N, D; cin >> N >> D;
    vl a(N); rep(i, N) cin >> a[i];
    ll X = 0;
    rep(i, N){
        a[i]--;
        X ^= a[i] % (D+1);
    }
    cout << ((X != 0) ? "First" : "Second") << endl;
}

int main(){
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(20);
    int t = 1;
    // cin >> t;
    while(t--){
        solve();
    }
}
accuracy: 1
time_ms: 10
memory_kb: 5148
final_rank: 12

code_snippet: #include <bits/stdc++.h>
using namespace std;
using ll = long long;
//const ll INF = LLONG_MAX / 4;
bool chmin(auto& a, const auto& b) { return a > b ? a = b, 1 : 0; }
bool chmax(auto& a, const auto& b) { return a < b ? a = b, 1 : 0; }
auto sz(const auto& a) { return ssize(a); }
#define rep(i,a,b) for (ll i = (a); i < (b); i++)
#define each(x,a) for (auto&& x : a)
#define co(a) cout << a << " "
#define con(a) cout << a << '\n'
#define com(a) cout << a
#define coen cout << endl

void solve() {
  int N,D;
  int X = 0;
  int A;
  cin >> N >> D;
  for(int i = 0; i < N; i++){
    cin >> A;
    X ^= ((A-1)%(D+1));
  }
  if(X == 0){
    cout << "Second" << endl;
  }
  else{
    cout << "First" << endl;
  }
}
int main() {
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    solve();
}
accuracy: 1
time_ms: 10
memory_kb: 3444
final_rank: 5

code_snippet: #include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using ull = unsigned long long;

#define rep(i,n) for(ll i=0;i<n;++i)
#define all(a) (a).begin(),(a).end()
ll intpow(ll a, ll b){ ll ans = 1; while(b){ if(b & 1) ans *= a; a *= a; b /= 2; } return ans; }
ll modpow(ll a, ll b, ll p){ ll ans = 1; while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }
template<class T> T div_floor(T a, T b) { return a / b - ((a ^ b) < 0 && a % b); }
template<class T> T div_ceil(T a, T b) { return a / b + ((a ^ b) > 0 && a % b); }
template <typename T, typename U> inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; }
template <typename T, typename U> inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; }

template<typename T>
ostream &operator<<(ostream &os, const vector<T> &a){
    if (a.empty()) return os;
    os << a.front();
    for (auto e : a | views::drop(1)){
        os << ' ' << e;
    }
    return os;
}

void dump(auto ...vs){
    ((cout << vs << ' '), ...) << endl;
}



void solve() {
    ll N,D;
    cin>>N>>D;
    vector<ll> A(N);
    rep(i,N)cin>>A[i];
    ll x=0;
    rep(i,N){
        x^=(A[i]-1)%(D+1);
    }
    if (x==0){
        cout<<"Second"<<endl;
    }
    else{
        cout<<"First"<<endl;
    }
    return;
}


int main() {
    cin.tie(0)->sync_with_stdio(0);
    ll T=1;
    while (T--){
        solve();
    }
    return 0;
}
accuracy: 1
time_ms: 10
memory_kb: 5376
final_rank: 15

code_snippet: #include <bits/stdc++.h>
using namespace std;
using ll=long long;
const ll ILL=2167167167167167167;
const int INF=2100000000;
#define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> int LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> int UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,T b){if(b<a){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,T b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;}
template<class T> void vec_out(vector<T> &p,int ty=0){
    if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'<<p[i]<<'"';}cout<<"}\n";}
    else{if(ty==1){cout<<p.size()<<"\n";}for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}}
template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T vec_sum(vector<T> &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;}
int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;}
template<class T> T square(T a){return a * a;}


void solve();
// POP'N ROLL MUSIC / TOMOO
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int t = 1;
    // cin >> t;
    rep(i, 0, t) solve();
}

void solve(){
    int N, D;
    cin >> N >> D;
    int ans = 0;
    rep(i, 0, N){
        int a;
        cin >> a;
        ans ^= ((a - 1) % (D + 1));
    }
    cout << (ans ? "First\n" : "Second\n");
}
accuracy: 1
time_ms: 10
memory_kb: 3428
final_rank: 4

code_snippet: //Author:Fczhao
//Language:cpp
#include <bits/stdc++.h>
using namespace std;
signed main(){
  ios::sync_with_stdio(false);
  #ifdef FCZHAO
  freopen("1.in", "r", stdin);
  freopen("1.out", "w", stdout);
  #endif
  int n, d, ans = 0, x;
  cin >> n >> d;
  for(int i = 0; i < n; i++){
    cin >> x;
    ans ^= (x - 1) % (d + 1);
  }
  cout << ((ans == 0) ? "Second" : "First") << endl;
}
accuracy: 1
time_ms: 10
memory_kb: 3464
final_rank: 6

code_snippet: #include <bits/stdc++.h>
// #include <atcoder/all>
// using mint = atcoder::static_modint<998244353>;
//using mint = atcoder::static_modint<1000000007>;
using namespace std;
// using namespace atcoder;
using ld = long double;
using ll = long long;
#define mp(a,b) make_pair(a,b)
#define rep(i,s,n) for(int i=s; i<(int)n; i++)
const vector<int> dx{1,0,-1,0},dy{0,1,0,-1};

int grandy(int x,int d){
    x%=d+1;
    return x;
}
int main(){
    int n,d;cin >> n >> d;
    int g=0;
    rep(i,0,n){
        int a;cin >> a;a--;
        g^=grandy(a,d);
    }
    if(g)cout << "First\n";
    else cout << "Second\n";
}
accuracy: 1
time_ms: 50
memory_kb: 3484
final_rank: 11

code_snippet: #pragma region Macros
 
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,fma,mmx,abm,bmi,bmi2,popcnt,lzcnt")
#pragma GCC target("avx2") // CF, CodeChef, HOJ ではコメントアウト
 
#include <bits/extc++.h>
// #include <atcoder/all>
// using namespace atcoder;
using namespace std;
using namespace __gnu_pbds;
 
// #include <boost/multiprecision/cpp_dec_float.hpp>
// #include <boost/multiprecision/cpp_int.hpp>
// namespace mp = boost::multiprecision;
// using Bint = mp::cpp_int;
// using Bdouble = mp::number<mp::cpp_dec_float<256>>;
// Bdouble Beps = 0.00000000000000000000000000000001; // 1e-32
// const bool equals(Bdouble a, Bdouble b) { return mp::fabs(a - b) < Beps; }

#define pb emplace_back
#define int ll
#define endl '\n'
 
// #define sqrt __builtin_sqrtl
// #define cbrt __builtin_cbrtl
// #define hypot __builtin_hypotl
 
using ll = long long;
using ld = long double;
const ld PI = acosl(-1);
const int INF = 1 << 30;
const ll INFL = 1LL << 61;
// const int MOD = 998244353;
const int MOD = 1000000007;

const ld EPS = 1e-10;
const bool equals(ld a, ld b) { return fabs((a) - (b)) < EPS; }
 
const vector<int> dx = {0, 1, 0, -1, 1, 1, -1, -1}; // → ↓ ← ↑ ↘ ↙ ↖ ↗
const vector<int> dy = {1, 0, -1, 0, 1, -1, -1, 1};
 
#define EC int
struct Edge {
    int from, to;
    EC cost;
    Edge() {}
    // Edge() : from(-1), to(-1), cost(-1) {}
    Edge(int to, EC cost) : to(to), cost(cost) {}
    Edge(int from, int to, EC cost) : from(from), to(to), cost(cost) {}
    bool operator ==(const Edge &e) {
        return this->from == e.from && this->to == e.to && this->cost == e.cost;
    }
    bool operator !=(const Edge &e) {
        return this->from != e.from or this->to != e.to or this->cost != e.cost;
    }
    bool operator <(const Edge &e) { return this->cost < e.cost; }
    bool operator >(const Edge &e) { return this->cost > e.cost; }
};
 
chrono::system_clock::time_point start;
__attribute__((constructor))
void constructor() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(10);
    start = chrono::system_clock::now();
}
 
random_device seed_gen;
mt19937_64 rng(seed_gen());
uniform_int_distribution<int> dist_x(0, 1e9);
struct RNG {
    unsigned Int() {
        return dist_x(rng);
    }
    unsigned Int(unsigned l, unsigned r) {
        return dist_x(rng) % (r - l + 1) + l;
    }
    ld Double() {
        return ld(dist_x(rng)) / 1e9;
    }
} rnd;

namespace bit_function {
    using i64 = ll;
    // using i64 = uint64_t;
    // bit演算, x==0の場合は例外処理した方がよさそう. 区間は [l, r)
    i64 lrmask(int l, int r) { return (1LL << r) - (1LL << l); }
    i64 sub_bit(i64 x, int l, int r) { i64 b = x & ((1LL << r) - (1LL << l)); return b >> l; } // r溢れ可
    i64 bit_width(i64 x) { return 64 - __builtin_clzll(x) + (x == 0); }
    
    i64 popcount(i64 x) { return __builtin_popcountll(x); }
    i64 popcount(i64 x, int l, int r) { return __builtin_popcountll(sub_bit(x, l, r)); }
    i64 unpopcount(i64 x) { return bit_width(x) - __builtin_popcountll(x); } // 最上位bitより下のみ
    i64 unpopcount(i64 x, int l, int r) { return r - l - __builtin_popcountll(sub_bit(x, l, r)); } // 最上位bitより上も含まれうる
    bool is_pow2(i64 x) { return __builtin_popcountll(x) == 1; } // xが負のときは常にfalse
    bool is_pow4(i64 x) { return __builtin_popcountll(x) == 1 && __builtin_ctz(x) % 2 == 0; }
    //bool is_pow4(ll x) { return __builtin_popcountll(x) == 1 && (x&0x55555555); }
    
    int top_bit(i64 x) { return 63 - __builtin_clzll(x);} // 2^kの位 (x > 0)
    int bot_bit(i64 x) { return __builtin_ctzll(x);} // 2^kの位 (x > 0)
    int next_bit(i64 x, int k) { // upper_bound
        x >>= (k + 1);
        int pos = k + 1;
        while (x > 0) {
            if (x & 1) return pos;
            x >>= 1;
            pos++;
        }
        return -1;
    }
    int prev_bit(i64 x, int k) {
        // k = min(k, bit_width(x)); ?
        int pos = 0;
        while (x > 0 && pos < k) {
            if (x & 1) {
                if (pos < k) return pos;
            }
            x >>= 1;
            pos++;
        }
        return -1;
    }
    int kth_bit(i64 x, int k) { // kは1-indexed
        int pos = 0, cnt = 0;
        while (x > 0) {
            if (x & 1) {
                cnt++;
                if (cnt == k) return pos;
            }
            x >>= 1;
            pos++;
        }
        return -1;
    }
    i64 msb(i64 x) { if (x == 0) return 0; return 1LL << (63 - __builtin_clzll(x)); } // mask
    i64 lsb(i64 x) { return (x & -x); } // mask
    
    int countl_zero(i64 x) { return __builtin_clzll(x); }
    int countl_one(i64 x) { // countl_oneと定義が異なるので注意
        i64 ret = 0, k = 63 - __builtin_clzll(x);
        while (k != -1 && (x & (1LL << k))) { k--; ret++; }
        return ret;
    }
    int countr_zero(i64 x) { return __builtin_ctzll(x); } // x=0のとき64
    int countr_one(i64 x) { int ret = 0; while (x & 1) { x >>= 1; ret++; } return ret; }
    // int countr_one(ll x) { return __builtin_popcount(x ^ (x & -~x));

    i64 l_one(i64 x) { // 最上位で連なってる1のmask
        if (x == 0) return 0;
        i64 ret = 0, k = 63 - __builtin_clzll(x);
        while (k != -1 && (x & (1LL << k))) { ret += 1LL << k; k--; }
        return ret;
    }
    
    int floor_log2(i64 x) { return 63 - __builtin_clzll(x); } // top_bit
    int ceil_log2(i64 x) { return 64 - __builtin_clzll(x - 1); }
    i64 bit_floor(i64 x) { if (x == 0) return 0; return 1LL << (63 - __builtin_clzll(x)); } // msb
    i64 bit_ceil(i64 x) { if (x == 0) return 0; return 1LL << (64 - __builtin_clzll(x - 1)); }
    
    i64 rotl(i64 x, int k) { // 有効bit内でrotate. オーバーフロー注意
        i64 w = bit_width(x); k %= w;
        return ((x << k) | (x >> (w - k))) & ((1LL << w) - 1);
    }
    // i64 rotl(i64 x, i64 l, i64 m, i64 r) {}
    i64 rotr(i64 x, int k) {
        i64 w = bit_width(x); k %= w;
        return ((x >> k) | (x << (w - k))) & ((1LL << w) - 1);
    }
    // i64 rotr(i64 x, i64 l, i64 m, i64 r) {}
    i64 bit_reverse(i64 x) { // 有効bit内で左右反転
        i64 r = 0, w = bit_width(x);
        for (i64 i = 0; i < w; i++) r |= ((x >> i) & 1) << (w - i - 1);
        return r;
    }
    // i64 bit_reverse(i64 x, int l, int r) {}
    
    bool is_palindrome(i64 x) { return x == bit_reverse(x); }
    bool is_palindrome(i64 x, int l, int r) { i64 b = sub_bit(x, l, r); return b == bit_reverse(b); }
    i64 concat(i64 a, i64 b) { return (a << bit_width(b)) | b; } // オーバーフロー注意
    i64 erase(i64 x, int l, int r) { return x >> r << l | x & ((1LL << l) - 1); } // [l, r) をカット
    
    i64 hamming(i64 a, i64 b) { return __builtin_popcountll(a ^ b); }
    i64 hamming(i64 a, i64 b, int l, int r) { return __builtin_popcountll(sub_bit(a, l, r) ^ sub_bit(b, l, r)); }
    i64 compcount(i64 x) { return (__builtin_popcountll(x ^ (x >> 1)) + (x & 1)) / 2; }
    i64 compcount2(i64 x) { return compcount(x & (x >> 1)); } // 長さ2以上の連結成分の個数
    i64 adjacount(i64 x) { return __builtin_popcountll(x & (x >> 1)); } // 隣接する1のペアの個数
    
    i64 next_combination(i64 x) {
        i64 t = x | (x - 1); return (t + 1) | (((~t & -~t) - 1) >> (__builtin_ctzll(x) + 1));
    }
} using namespace bit_function;

namespace util_function {
    namespace Std = std;
    __int128_t POW(__int128_t x, int n) {
        __int128_t ret = 1;
        assert(n >= 0);
        if (x == 1 or n == 0) ret = 1;
        else if (x == -1 && n % 2 == 0) ret = 1; 
        else if (x == -1) ret = -1; 
        else if (n % 2 == 0) {
            // assert(x < INFL);
            ret = POW(x * x, n / 2);
        } else {
            // assert(x < INFL);
            ret = x * POW(x, n - 1);
        }
        return ret;
    }
    int per(int x, int y) { // x = qy + r (0 <= r < y) を満たすq
        assert(y != 0);
        if (x >= 0 && y > 0) return x / y;
        if (x >= 0 && y < 0) return x / y - (x % y < 0);
        if (x < 0 && y < 0) return x / y + (x % y < 0);
        return x / y - (x % y < 0); //  (x < 0 && y > 0) 
    }
    int mod(int x, int y) { // x = qy + r (0 <= r < y) を満たすr
        assert(y != 0);
        return x - y * per(x, y);
    } // https://yukicoder.me/problems/no/2781
    int floor(int x, int y) { // (ld)x / y 以下の最大の整数
        assert(y != 0);
        if (y < 0) x = -x, y = -y;
        return x >= 0 ? x / y : (x + 1) / y - 1;
    }
    int ceil(int x, int y) { // (ld)x / y 以上の最小の整数
        assert(y != 0);
        if (y < 0) x = -x, y = -y;
        return x > 0 ? (x - 1) / y + 1 : x / y;
    }
    int round(int x, int y) { // (ld)x / y を小数第1位について四捨五入
        assert(y != 0);
        return (x * 2 + y) / (y * 2);
    }
    int round(int x, int y, int k) { // (ld)x / y を10^kの位に関して四捨五入
        assert(y != 0 && k >= 0);
        if (k == 0) return (x * 2 + y) / (y * 2);
        x /= y * POW(10, k - 1);
        if (x % 10 >= 5) return (x + 10 - x % 10) * POW(10, k - 1);
        return x * POW(10, k - 1);
    }
    int round2(int x, int y) { // 五捨五超入 // 未verify
        assert(y != 0);
        if (y < 0) y = -y, x = -x;
        int z = x / y;
        if ((z * 2 + 1) * y <= y * 2) z++;
        return z;
    }
    ld round(ld x, int k) { // xを10^kの位に関して四捨五入.
        // x += EPS;
        ld d = pow(10, -k);
        return Std::round(x * d) / d;
    }
    ld floor(ld x, int k) { // xを10^kの位に関してflooring
        // x += EPS;
        ld d = pow(10, -k);
        return Std::floor(x * d) / d; // 未verify
    }
    ld ceil(ld x, int k) { // xを10^kの位に関してceiling
        // x -= EPS;
        ld d = pow(10, -k);
        return Std::ceil(x * d) / d; // 未verify
    }
    // int kth(int x, int y, int k) { // x / yの10^kの位の桁
    // }
    int floor(ld x, ld y) { // 誤差対策TODO
        assert(!equals(y, 0));
        return Std::floor(x / y);
        // floor(x) = ceil(x - 1) という話も
    }
    int ceil(ld x, ld y) { // 誤差対策TODO // ceil(p/q) = -floor(-(p/q))らしい
        assert(!equals(y, 0));
        return Std::ceil(x / y);
        // ceil(x) = floor(x + 1)
    }
    int perl(ld x, ld y) { // x = qy + r (0 <= r < y, qは整数) を満たす q
        // 未verify. 誤差対策TODO. EPS外してもいいかも。
        assert(!equals(y, 0));
        if (x >= 0 && y > 0) return Std::floor(x / y)+EPS;
        if (x >= 0 && y < 0) return -Std::floor(x / fabs(y));
        if (x < 0 && y < 0) return Std::floor(x / y) + (x - Std::floor(x/y)*y < -EPS);
        return Std::floor(x / y) - (x - Std::floor(x/y)*y < -EPS); //  (x < 0 && y > 0) 
    }
    ld modl(ld x, ld y) { // x = qy + r (0 <= r < y, qは整数) を満たす r
        // 未verify. 誤差対策TODO. -0.0が返りうる。
        assert(!equals(y, 0));
        if (x >= 0) return x - fabs(y)*fabs(per(x, y));
        return x - fabs(y)*floor(x, fabs(y));
    }
    int seisuu(ld x) { return (int)x; } // 整数部分. 誤差対策TODO
    int modf(ld x) {
        if (x < 0) return ceill(x);
        else return floorl(x);
    }
    // 正なら+EPS, 負なら-EPSしてから、文字列に直して小数点以下を捨てる?
    int seisuu(int x, int y) {
        assert(y != 0);
        return x / y;
    }
    int seisuu(ld x, ld y) { // 誤差対策TODO
        assert(!equals(y, 0));
        return (int)(x / y);
    }

    int floor_log(int base, int x) {
        assert(base >= 2);
        int ret = 0, now = 1;
        while (now <= x) {
            now *= base;
            if (now <= x) ret++;
        }
        return ret;
    }
    int ceil_log(int base, int x) {
        assert(base >= 2);
        int ret = 0, now = 1;
        while (now < x) {
            now *= base;
            ret++;
        }
        return ret;
    }

    template <class T> pair<T, T> max(const pair<T, T> &a, const pair<T, T> &b) {
        if (a.first > b.first or a.first == b.first && a.second > b.second) return a;
        return b;
    }
    template <class T> pair<T, T> min(const pair<T, T> &a, const pair<T, T> &b) {
        if (a.first < b.first or a.first == b.first && a.second < b.second) return a;
        return b;
    }
    
    template <class T> bool chmax(T &a, const T &b) {
        if (a < b) { a = b; return true; } return false;
    }
    template <class T> bool chmin(T &a, const T &b) {
        if (a > b) { a = b; return true; } return false;
    }
    template <class T> bool chmax(pair<T, T> &a, const pair<T, T> &b) {
        if (a.first < b.first or a.first == b.first && a.second < b.second) { a = b; return true; }
        return false;
    }
    template <class T> bool chmin(pair<T, T> &a, const pair<T, T> &b) {
        if (a.first > b.first or a.first == b.first && a.second > b.second) { a = b; return true; }
        return false;
    }
    template <class T> T mid(T a, T b, T c) { // 誤差対策TODO
        return a + b + c - Std::max({a, b, c}) - Std::min({a, b, c});
    }
    template <typename T, typename... Args>
    void Sort(T& a, T& b, T& c, Args&... args) {
        vector<T> vec = {a, b, c, args...};
        sort(vec.begin(), vec.end());
        auto it = vec.begin();
        a = *it++; b = *it++; c = *it++;
        int dummy[] = { (args = *it++, 0)... };
        static_cast<void>(dummy);
    }
    template <typename T, typename... Args>
    void Sortr(T& a, T& b, T& c, Args&... args) {
        vector<T> vec = {a, b, c, args...};
        sort(vec.rbegin(), vec.rend());
        auto it = vec.begin();
        a = *it++; b = *it++; c = *it++;
        int dummy[] = { (args = *it++, 0)... };
        static_cast<void>(dummy);
    }
    template <class T>
    void sort(vector<T> &A, vector<T> &B) {
        vector<pair<T, T>> P(A.size());
        for (int i = 0; i < A.size(); i++) P[i] = {A[i], B[i]};
        sort(P.begin(), P.end());
        for (int i = 0; i < A.size(); i++) A[i] = P[i].first, B[i] = P[i].second;
    }

    istream &operator >>(istream &is, __int128_t& x) {
        string S; is >> S;
        __int128_t ret = 0;
        int f = 1;
        if (S[0] == '-') f = -1; 
        for (int i = 0; i < S.length(); i++)
            if ('0' <= S[i] && S[i] <= '9')
                ret = ret * 10 + S[i] - '0';
        x = ret * f;
        return (is);
    }
    ostream &operator <<(ostream &os, __int128_t x) {
        ostream::sentry s(os);
        if (s) {
            __uint128_t tmp = x < 0 ? -x : x;
            char buffer[128]; char *d = end(buffer);
            do {
                --d; *d = "0123456789"[tmp % 10]; tmp /= 10;
            } while (tmp != 0);
            if (x < 0) { --d; *d = '-'; }
            int len = end(buffer) - d;
            if (os.rdbuf()->sputn(d, len) != len) os.setstate(ios_base::badbit);
        }
        return os;
    }
    
    __int128_t sto128(const string &S) {
        __int128_t ret = 0; int f = 1;
        if (S[0] == '-') f = -1; 
        for (int i = 0; i < S.length(); i++)
            if ('0' <= S[i] && S[i] <= '9') ret = ret * 10 + S[i] - '0';
        return ret * f;
    }
    __int128_t gcd(__int128_t a, __int128_t b) { return b ? gcd(b, a % b) : a; }
    __int128_t lcm(__int128_t a, __int128_t b) {
        return a / gcd(a, b) * b;
        // lcmが__int128_tに収まる必要あり
    }
    
    string to_string(double x, int k) { // 小数第k+1を四捨五入して小数第k位までを出力
    // 切り捨てがほしい場合は to_string(x, k+1) として pop_back() すればよい?
        ostringstream os;
        os << fixed << setprecision(k) << x;
        return os.str();
    }
    string to_string(__int128_t x) {
        string ret = "";
        if (x < 0) { ret += "-"; x *= -1; }
        while (x) { ret += (char)('0' + x % 10); x /= 10; }
        reverse(ret.begin(), ret.end());
        return ret;
    }
    string to_string(char c) { string s = ""; s += c; return s; }
} using namespace util_function;

struct custom_hash {
    static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }
 
    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};

template<class T> size_t HashCombine(const size_t seed,const T &v) {
    return seed^(hash<T>()(v)+0x9e3779b9+(seed<<6)+(seed>>2));
}
template<class T,class S> struct hash<pair<T,S>>{
    size_t operator()(const pair<T,S> &keyval) const noexcept {
        return HashCombine(hash<T>()(keyval.first), keyval.second);
    }
};
template<class T> struct hash<vector<T>>{
    size_t operator()(const vector<T> &keyval) const noexcept {
        size_t s=0;
        for (auto&& v: keyval) s=HashCombine(s,v);
        return s;
    }
};
template<int N> struct HashTupleCore{
    template<class Tuple> size_t operator()(const Tuple &keyval) const noexcept{
        size_t s=HashTupleCore<N-1>()(keyval);
        return HashCombine(s,get<N-1>(keyval));
    }
};
template <> struct HashTupleCore<0>{
    template<class Tuple> size_t operator()(const Tuple &keyval) const noexcept{ return 0; }
};
template<class... Args> struct hash<tuple<Args...>>{
    size_t operator()(const tuple<Args...> &keyval) const noexcept {
        return HashTupleCore<tuple_size<tuple<Args...>>::value>()(keyval);
    }
};

template<typename T>
class Compress {
public:
    int sz = 0;
    // gp_hash_table<T, int, custom_hash> Z;
    // gp_hash_table<int, T, custom_hash> UZ;
    unordered_map<T, int> Z;    // 元の値 -> 圧縮した値
    unordered_map<int, T> UZ;   // 圧縮した値 -> 元の値
 
    Compress() {}
    Compress(const vector<T> &V, T base = 0) {
        this->sz = base;
        set<T> s(V.begin(), V.end());
 
        for (T x : s) {
            this->Z[x] = this->sz;
            this->UZ[this->sz] = x;
            this->sz++;
        }
    }
    
    Compress(const vector<T> &V1, const vector<T> &V2, T base = 0) {
        this->sz = base;
        vector<T> V3 = V2;
        V3.insert(V3.end(), V1.begin(), V1.end());
        set<T> s(V3.begin(), V3.end());
 
        for (T x : s) {
            this->Z[x] = this->sz;
            this->UZ[this->sz] = x;
            this->sz++;
        }
    }
 
    Compress(const vector<T> &V1, const vector<T> &V2, const vector<T> &V3, T base = 0) {
        this->sz = base;
        vector<T> V4 = V1;
        V4.insert(V4.end(), V2.begin(), V2.end());
        V4.insert(V4.end(), V3.begin(), V3.end());
        set<T> s(V4.begin(), V4.end());
 
        for (T x : s) {
            this->Z[x] = this->sz;
            this->UZ[this->sz] = x;
            this->sz++;
        }
    }
 
    Compress(const vector<T> &V1, const vector<T> &V2,
            const vector<T> &V3, const vector<T> &V4, T base = 0) {
        this->sz = base;
        vector<T> V5 = V1;
        V5.insert(V5.end(), V2.begin(), V2.end());
        V5.insert(V5.end(), V3.begin(), V3.end());
        V5.insert(V5.end(), V4.begin(), V4.end());
        set<T> s(V5.begin(), V5.end());
 
        for (T x : s) {
            this->Z[x] = this->sz;
            this->UZ[this->sz] = x;
            this->sz++;
        }
    }
 
    vector<int> zip(const vector<T> &V) {
        vector<int> ret(V.size());
        for (int i = 0; i < (int)V.size(); i++) {
            ret[i] = Z[V[i]];
        }
        return ret;
    }
 
    vector<T> unzip(const vector<int> &V) {
        vector<T> ret(V.size());
        for (int i = 0; i < (int)V.size(); i++) {
            ret[i] = UZ[V[i]];
        }
        return ret;
    }
 
    int size() { return sz; }
 
    int encode(T x) { return Z[x]; }
    T decode(int x) {
        if (UZ.find(x) == UZ.end()) return -1; // xが元の配列に存在しないとき
        return UZ[x];
    }
};
 
class UnionFind {
public:
	UnionFind() = default;
    UnionFind(int N) : par(N), sz(N, 1) {
        iota(par.begin(), par.end(), 0);
    }
	int root(int x) {
		if (par[x] == x) return x;
		return (par[x] = root(par[x]));
	}
	bool unite(int x, int y) {
		int rx = root(x);
		int ry = root(y);
        if (rx == ry) return false;
		if (sz[rx] < sz[ry]) swap(rx, ry);
		sz[rx] += sz[ry];
		par[ry] = rx;
        return true;
	}
	bool issame(int x, int y) { return (root(x) == root(y)); }
	int size(int x) { return sz[root(x)]; }
    vector<vector<int>> groups(int N) {
        vector<vector<int>> G(N);
        for (int x = 0; x < N; x++) {
            G[root(x)].push_back(x);
        }
		G.erase( remove_if(G.begin(), G.end(),
            [&](const vector<int>& V) { return V.empty(); }), G.end());
        return G;
    }
private:
	vector<int> par, sz;
};
 
template<typename T> struct BIT {
    int N;             // 要素数
    vector<T> bit[2];  // データの格納先
    BIT(int N_, int x = 0) {
        N = N_ + 1;
        bit[0].assign(N, 0); bit[1].assign(N, 0);
        if (x != 0) {
            for (int i = 0; i < N; i++) add(i, x);
        }
    }
    BIT(const vector<T> &A) {
        N = A.size() + 1;
        bit[0].assign(N, 0); bit[1].assign(N, 0);
        for (int i = 0; i < (int)A.size(); i++) add(i, A[i]);
    }
    void add_sub(int p, int i, T x) {
        while (i < N) { bit[p][i] += x; i += (i & -i); }
    }
    void add(int l, int r, T x) {
        add_sub(0, l + 1, -x * l); add_sub(0, r + 1, x * r);
        add_sub(1, l + 1, x); add_sub(1, r + 1, -x);
    }
    void add(int i, T x) { add(i, i + 1, x); }
    T sum_sub(int p, int i) {
        T ret = 0;
        while (i > 0) { ret += bit[p][i]; i -= (i & -i); }
        return ret;
    }
    T sum(int i) { return sum_sub(0, i) + sum_sub(1, i) * i; }
    T sum(int l, int r) { return sum(r) - sum(l); }
    T get(int i) { return sum(i, i + 1); }
    void set(int i, T x) { T s = get(i); add(i, -s + x); }
};
 
template<int mod> class Modint {
public:
    int val = 0;
    Modint(int x = 0) { while (x < 0) x += mod; val = x % mod; }
    Modint(const Modint &r) { val = r.val; }
 
    Modint operator -() { return Modint(-val); } // 単項
    Modint operator +(const Modint &r) { return Modint(*this) += r; }
    Modint operator +(const int &q) { Modint r(q); return Modint(*this) += r; }
    Modint operator -(const Modint &r) { return Modint(*this) -= r; }
    Modint operator -(const int &q) { Modint r(q); return Modint(*this) -= r; }
    Modint operator *(const Modint &r) { return Modint(*this) *= r; }
    Modint operator *(const int &q) { Modint r(q); return Modint(*this) *= r; }
    Modint operator /(const Modint &r) { return Modint(*this) /= r; }
    Modint operator /(const int &q) { Modint r(q); return Modint(*this) /= r; }
    
    Modint& operator ++() { val++; if (val >= mod) val -= mod; return *this; } // 前置
    Modint operator ++(signed) { ++*this; return *this; } // 後置
    Modint& operator --() { val--; if (val < 0) val += mod; return *this; }
    Modint operator --(signed) { --*this; return *this; }
    Modint &operator +=(const Modint &r) { val += r.val; if (val >= mod) val -= mod; return *this; }
    Modint &operator +=(const int &q) { Modint r(q); val += r.val; if (val >= mod) val -= mod; return *this; }
    Modint &operator -=(const Modint &r) { if (val < r.val) val += mod; val -= r.val; return *this; }
    Modint &operator -=(const int &q) { Modint r(q);  if (val < r.val) val += mod; val -= r.val; return *this; }
    Modint &operator *=(const Modint &r) { val = val * r.val % mod; return *this; }
    Modint &operator *=(const int &q) { Modint r(q); val = val * r.val % mod; return *this; }
    Modint &operator /=(const Modint &r) {
        int a = r.val, b = mod, u = 1, v = 0;
        while (b) {int t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v);}
        val = val * u % mod; if (val < 0) val += mod;
        return *this;
    }
    Modint &operator /=(const int &q) {
        Modint r(q); int a = r.val, b = mod, u = 1, v = 0;
        while (b) {int t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v);}
        val = val * u % mod; if (val < 0) val += mod;
        return *this;
    }
    bool operator ==(const Modint& r) { return this -> val == r.val; }
    bool operator <(const Modint& r) { return this -> val < r.val; }
    bool operator >(const Modint& r) { return this -> val > r.val; }
    bool operator !=(const Modint& r) { return this -> val != r.val; }

    friend istream &operator >>(istream &is, Modint& x) {
        int t; is >> t; x = t; return (is);
    }
    friend ostream &operator <<(ostream &os, const Modint& x) {
        return os << x.val;
    }
};
using mint = Modint<MOD>;
 
mint modpow(const mint &x, int n) {
    if (n < 0) return (mint)1 / modpow(x, -n); // 未verify
    assert(n >= 0);
    if (n == 0) return 1;
    mint t = modpow(x, n / 2);
    t = t * t;
    if (n & 1) t = t * x;
    return t;
}
int modpow(__int128_t x, int n, int mod) {
    assert(n >= 0 && mod > 0); // TODO: n <= -1
    __int128_t ret = 1;
    while (n > 0) {
        if (n % 2 == 1) ret = ret * x % mod;
        x = x * x % mod;
        n /= 2;
    }
    return ret;
}
// int modinv(__int128_t x, int mod) { // 
//     assert(mod > 0);
//     // assert(x > 0);
//     if (x == 1 or x == 0) return 1;
//     return mod - modinv(mod % x, mod) * (mod / x) % mod;
// }

vector<mint> _fac, _finv, _inv;
void COMinit(int N) {
    _fac.resize(N + 1); _finv.resize(N + 1);  _inv.resize(N + 1);
    _fac[0] = _fac[1] = 1; _finv[0] = _finv[1] = 1; _inv[1] = 1;
    for (int i = 2; i <= N; i++) {
        _fac[i] = _fac[i-1] * mint(i);
        _inv[i] = -_inv[MOD % i] * mint(MOD / i);
        _finv[i] = _finv[i - 1] * _inv[i];
    }
}
 
mint FAC(int N) {
    if (N < 0) return 0; return _fac[N];
}
mint FACinv(int N) {
    if (N < 0) return 0; return _finv[N];
}
mint COM(int N, int K) {
    if (N < K) return 0; if (N < 0 or K < 0) return 0;
    return _fac[N] * _finv[K] * _finv[N - K];
}
mint COMinv(int N, int K) {
    if (N < K) return 0; if (N < 0 or K < 0) return 0;
    return _finv[N] * _fac[K] * _fac[N - K];
}
mint MCOM(const vector<int> &V) {
    int N = 0;
    for (int i = 0; i < V.size(); i++) N += V[i];
    mint ret = _fac[N];
    for (int i = 0; i < V.size(); i++) ret *= _finv[V[i]];
    return ret;
}
mint PERM(int N, int K) {
    if (N < K) return 0; if (N < 0 or K < 0) return 0;
    return _fac[N] *  _finv[N - K];
}
mint NHK(int N, int K) { // initのサイズに注意
    if (N == 0 && K == 0)  return 1;
    return COM(N + K - 1, K);
}
 
#pragma endregion

signed main() {
    int N, K;
    cin >> N >> K;
    vector<int> A(N);
    for (int i = 0; i < N; i++) {
        cin >> A[i];
        A[i]--;
    }

    int g = 0;
    for (int i = 0; i < N; i++) {
        g ^= A[i] % (K + 1);
    }
    if (g == 0) cout << "Second" << endl;
    else cout << "First" << endl;
}
accuracy: 1
time_ms: 10
memory_kb: 5164
final_rank: 13

code_snippet: /* -*- coding: utf-8 -*-
 *
 * 3057.cc: Problem G: First Kiss
 */

#include<cstdio>
#include<algorithm>
 
using namespace std;

/* constant */

/* typedef */

/* global variables */

/* subroutines */

/* main */

int main() {
  int n, d;
  scanf("%d%d", &n, &d);

  int x = 0;
  for (int i = 0; i < n; i++) {
    int ai;
    scanf("%d", &ai);

    x ^= (ai - 1) % (d + 1);
  }

  if (x != 0) puts("First");
  else puts("Second");

  return 0;
}
accuracy: 1
time_ms: 10
memory_kb: 2908
final_rank: 1

code_snippet: #include <iostream>
#include <vector>
using namespace std;

int main(){
    int n, d;
    cin >> n >> d;
    vector<int> a(n);
    for(auto &p: a) cin >> p;

    int g = 0;
    for(auto &p: a){
        p--;
        g ^= p%(d+1);
    }

    if(g == 0) cout << "Second" << endl;
    else cout << "First" << endl;
    return 0;
}
accuracy: 1
time_ms: 50
memory_kb: 4040
final_rank: 20

code_snippet: //#include <atcoder/all>
//using namespace atcoder;
//using mint = modint;

#include <bits/stdc++.h>
#define int long long
#define sint signed
#define endl "\n" // fflush(stdout);
#define ALL(v) (v).begin(),(v).end()
#define Vi vector<int>
#define VVi vector<Vi>
#define VVVi vector<VVi>
#define Vm vector<mint>
#define VVm vector<Vm>
#define Vs vector<string>
#define Vd vector<double>
#define Vc vector<char>
#define Vb vector<bool>
#define Pii pair<int,int>
#define Pdd pair<double,double>
#define VPii vector<Pii>
#define Tiii tuple<int,int,int>
#define VTiii vector<Tiii>
#define PQi priority_queue<int>
#define PQir priority_queue<int,vector<int>,greater<int>>
#define pb push_back
#define mp make_pair
#define mt make_tuple
#define itos to_string
#define stoi stoll
#define FI first
#define SE second
#define cYES cout<<"YES"<<endl
#define cNO cout<<"NO"<<endl
#define cYes cout<<"Yes"<<endl
#define cNo cout<<"No"<<endl
#define cyes cout<<"yes"<<endl
#define cno cout<<"no"<<endl
#define sortr(v) sort(v,greater<>())
#define rep(i,a,b) for(int i=a;i<b;i++)
#define repeq(i,a,b) for(int i=a;i<=b;i++)
#define repreq(i,a,b) for(int i=a;i>=b;i--)
#define dem(a,b) ((a+b-1)/(b))
#define INF 3000000000000000000 // 3.0*10^18
#define MAX LLONG_MAX
#define PI acos(-1.0L)

using namespace std;

/* debug */
template <typename T>
ostream& operator<<(ostream& os,const vector<T> &V){int N=V.size();
if(N==0){os<<'.';return os;}rep(i,0,N-1){os<<V[i]<<' ';}os<<V[N-1];return os;}
template <typename T>
ostream& operator<<(ostream& os,const vector<vector<T>> &V){
int N=V.size();rep(i,0,N-1)os<<V[i]<<endl;os<<V[N-1];return os;}
template <typename T,typename S>
ostream& operator<<(ostream& os, pair<T,S> const&P){os<<P.FI<<' '<<P.SE;return os;}
//ostream& operator<<(ostream& os, mint const&M){os<<M.val();return os;}

/* useful */
template<typename T>void Vin(vector<T> &v){int n=v.size();rep(i,0,n)cin>>v[i];}
int scomb(int n, int r){if(r<0||r>n)return 0;if((n-r)<r)r=n-r; // nCr
int a=1;for(int i=n;i>n-r;--i){a=a*i;}for(int i=1;i<r+1;++i){a=a/i;}return a;}
int digit_sum(int n){int ret=0; while(n>0){ret+=n%10;n/=10;}return ret;}
int digit(int k,int i){string s = itos(k);return s[s.size()-i]-'0';}
template<typename T>void press(T &v){v.erase(unique(ALL(v)),v.end());}
int SMALLER(Vi &a,int x){return lower_bound(a.begin(),a.end(),x)-a.begin();}
int orSMALLER(Vi &a,int x){return upper_bound(a.begin(),a.end(),x)-a.begin();}
int BIGGER(Vi &a,int x){return a.size()-orSMALLER(a,x);}
int orBIGGER(Vi &a,int x){return a.size()-SMALLER(a,x);}
int COUNT(Vi &a,int x) {return upper_bound(ALL(a),x)-lower_bound(ALL(a),x);}
int maxind(Vi &a){return max_element(ALL(a))-a.begin();}
int minind(Vi &a){return min_element(ALL(a))-a.begin();}
template<typename T>bool chmax(T &a,T b) {if(a<b){a=b;return 1;}return 0;}
template<typename T>bool chmin(T &a,T b) {if(a>b){a=b;return 1;}return 0;}
int dtoi(double d,int g){return round(d*pow(10,g));}
/*
Vi zip(Vi b){int Z=b.size();
Pii p[Z+10];int a=b.size();Vi l(a);for(int i=0;i<a;i++)
p[i]=mp(b[i],i);sort(p,p+a);int w=0;for(int i=0;i<a;i++)
{if(i&&p[i].first!=p[i-1].first)w++;l[p[i].second]=w;}return l;}
*/
//Vi vis(Vi &v){Vi S(v.size()+1);rep(i,1,S.size())S[i]+=v[i-1]+S[i-1];return S;}

//const int MOD = 998244353;
const int MOD = 1000000007;
const double EPS = 1e-10;

void init(){cin.tie(0);cout.tie(0);ios::sync_with_stdio(0);
cout<<fixed<<setprecision(12);//mint::set_mod(MOD);
}

/************************************ START ************************************/

void sol() {
  int n,m;cin >> n >> m;
  Vi a(n);
  Vin(a);
  rep(i,0,n) a[i]--;
  int gr = 0;
  rep(i,0,n) {
    int b = a[i]%(m+1);
    gr ^= b;
  }
  if(gr) cout << "First" << endl;
  else cout << "Second" << endl;
}

signed main() {
  init();
  int q = 1;
  //cin >> q;
  while(q--) sol();
  return 0;
}
accuracy: 1
time_ms: 20
memory_kb: 4792
final_rank: 14

code_snippet: #include <bits/stdc++.h>
//#include <atcoder/all>
//using namespace atcoder;
const double pi = 3.141592653589793238462643383279;
using namespace std;
//typedef
//------------------------------------------
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef pair<long long, long long> PLL;
typedef pair<int, PII> TIII;
typedef long long LL;
typedef unsigned long long ULL;
typedef vector<LL> VLL;
typedef vector<VLL> VVLL;

//container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define MP make_pair
#define SZ(a) int((a).size())
#define SQ(a) ((a) * (a))
#define EACH(i, c) for (typeof((c).begin()) i = (c).begin(); i != (c).end(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).end())
#define SORT(c) sort((c).begin(), (c).end())

//repetition
//------------------------------------------
#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)
#define REP(i, n) FOR(i, 0, n)
#define MOD 1000000007

#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto &a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()

typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

#define chmin(x, y) x = min(x, y)
#define chmax(x, y) x = max(x, y)
const double EPS = 1e-7, PI = acos(-1);
//ここから編集


int main()
{
  cin.tie(0);
  ios::sync_with_stdio(false);
  cout << fixed << setprecision(6);

  int N, D; cin >> N >> D;
  vector<int> a(N);
  int x1or = 0;
  REP(i,N) {
    cin >> a[i];
    x1or ^= ((a[i]-1)%(D+1));
  }

  if(x1or == 0) cout << "Second" << endl;
  else cout << "First" << endl;

  return 0;
}
accuracy: 1
time_ms: 10
memory_kb: 3964
final_rank: 9

code_snippet: #include <bits/stdc++.h>
using namespace std;

int main() {
    int n, d, g = 0;
    cin >> n >> d;
    for(int i=0;i<n;i++){
        int a;
        cin >> a;
        g ^= (a-1)%(d+1);
    }
    cout << (g ? "First" : "Second") << endl;
    return 0;
}
accuracy: 1
time_ms: 70
memory_kb: 3088
final_rank: 17

code_snippet: #include <bits/stdc++.h>

using namespace std;

#define MOD 1000000007

int main(){
  int n,d; cin >> n >> d;
  int flag=0;
  for(int i=0;i<n;++i){
    int a; cin >> a;
    a--;
    a%=d+1;
    flag^=a;
  }
  if(flag) cout << "First" << endl;
  else cout << "Second" << endl;
  
  return 0;
}
accuracy: 1
time_ms: 70
memory_kb: 3080
final_rank: 16

code_snippet: #include <algorithm>
#include <bitset>
#include <cassert>
#include <cctype>
#include <chrono>
#define _USE_MATH_DEFINES
#include <cmath>
#include <cstdio>
#include <cstring>
#include <ctime>
#include <deque>
#include <functional>
#include <iostream>
#include <iterator>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <tuple>
#include <utility>
#include <vector>
using namespace std;

#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()

const int INF = 0x3f3f3f3f;
const long long LINF = 0x3f3f3f3f3f3f3f3fLL;
const double EPS = 1e-8;
const int MOD = 1000000007; // 998244353;
const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1};
/*-------------------------------------------------*/
int main() {
  cin.tie(nullptr); ios::sync_with_stdio(false);
  // freopen("input.txt", "r", stdin);

  int n, d; cin >> n >> d;
  long long x = 0;
  while (n--) {
    int a; cin >> a;
    --a;
    a %= d + 1;
    x ^= a;
  }
  cout << (x == 0 ? "Second\n" : "First\n");
  return 0;
}
accuracy: 1
time_ms: 10
memory_kb: 3204
final_rank: 3

code_snippet: #include<iostream>
using namespace std;

// 解説を読んだ
// 各ポッキーが1 1 1 ... 1となった状態が負けなので、
// 全てのポッキーの長さを1減じたものに対するNimを考えればよい
// 長さxのポッキーに対するgrundy数は、観察を行うと
// (x-1)%(d+1)であることがわかる(実際に書き出せば明らか)

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n, d;
    cin >> n >> d;
    int nim = 0;
    while(n-- > 0){
        int x;  cin >> x;
        nim ^= (x-1)%(d+1);
    }
    cout << (nim==0 ? "Second" : "First") << endl;
    return 0;
}
accuracy: 1
time_ms: 10
memory_kb: 3180
final_rank: 2

code_snippet: #include<iostream>
using namespace std;

// 解説を読んだ
// 各ポッキーが1 1 1 ... 1となった状態が負けなので、
// 全てのポッキーの長さを1減じたものに対するNimを考えればよい
// 長さxのポッキーに対するgrundy数は、観察を行うと
// (x-1)%(d+1)であることがわかる(実際に書き出せば明らか)

int main(){
    int n, d;
    cin >> n >> d;
    int nim = 0;
    while(n-- > 0){
        int x;  cin >> x;
        nim ^= (x-1)%(d+1);
    }
    cout << (nim==0 ? "Second" : "First") << endl;
    return 0;
}
accuracy: 1
time_ms: 70
memory_kb: 3088
final_rank: 17

code_snippet: #include<bits/stdc++.h>
using namespace std;
using Int = long long;
template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}
template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}


struct FastIO{
  FastIO(){
    cin.tie(0);
    ios::sync_with_stdio(0);
  }
}fastio_beet;

//INSERT ABOVE HERE
signed main(){
  Int n,d;
  cin>>n>>d;
  vector<Int> a(n);
  for(Int i=0;i<n;i++) cin>>a[i],a[i]--;
  Int ans=0;
  for(Int i=0;i<n;i++) ans^=a[i]%(d+1);
  cout<<(ans?"First":"Second")<<endl;
  return 0;
}
accuracy: 1
time_ms: 10
memory_kb: 4808
final_rank: 10

code_snippet: #include <bits/stdc++.h>
#include <iostream>
#include <cstdio>
#include <vector>
#include <tuple>
#include <queue>
#include <stack>
#include <set>
#include <map>
using namespace std;
#define reps(i,s,n) for(int i = s; i < n; i++)
#define rep(i,n) reps(i,0,n)
#define fi first
#define se second
typedef long long ll;

int N,M,H,W,K,A,B;
string S;
string alpha = "abcdefghijklmnopqrstuvwxyz";
string ALPHA = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";

int f(int a,int d){
    int ans = (a+d)%(d+1);
    //cout<<ans<<endl;
    return ans;
}

int main() {
    int D;
    cin>> N >> D;
    int g = 0;
    int a;
    rep(i,N){
        cin>>a;
        g = g^f(a,D);
        //cout<<g<<endl;
    }
    if(g) {
        cout << "First" << endl;
    }else{
        cout << "Second"<< endl;
    }
    int y = 7^10;
    //cout<<y<<endl;
}
accuracy: 1
time_ms: 70
memory_kb: 3196
final_rank: 19

code_snippet: #include<bits/stdc++.h>
typedef long long int ll;
typedef unsigned long long int ull;
#define BIG_NUM 2000000000
#define HUGE_NUM 99999999999999999
#define MOD 1000000007
#define EPS 0.000000001
using namespace std;


int main(){

	int value = 0;

	int N,D;

	scanf("%d %d",&N,&D);

	int tmp;

	for(int i = 0; i < N; i++){
		scanf("%d",&tmp);
		value ^= (tmp-1)%(D+1);
	}

	if(value != 0){
		printf("First\n");
	}else{
		printf("Second\n");
	}

	return 0;
}
accuracy: 1
time_ms: 20
memory_kb: 3148
final_rank: 7

code_snippet: #include <bits/stdc++.h>
int n,d,x,s;
main(){
	scanf("%d%d",&n,&d);
	while(n--){
		scanf("%d",&x);
		s^=(x-1)%(d+1);
	}
	puts(s?"First":"Second");
}
accuracy: 1
time_ms: 20
memory_kb: 3168
final_rank: 8