結果

問題 No.1267 Stop and Coin Game
ユーザー phocomphocom
提出日時 2020-10-23 23:07:48
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 183 ms / 2,000 ms
コード長 11,255 bytes
コンパイル時間 1,173 ms
コンパイル使用メモリ 121,612 KB
実行使用メモリ 7,296 KB
最終ジャッジ日時 2024-07-21 12:25:52
合計ジャッジ時間 3,155 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 2 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 3 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 69 ms
7,296 KB
testcase_11 AC 32 ms
5,376 KB
testcase_12 AC 8 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 2 ms
5,376 KB
testcase_15 AC 2 ms
5,376 KB
testcase_16 AC 156 ms
7,296 KB
testcase_17 AC 2 ms
5,376 KB
testcase_18 AC 2 ms
5,376 KB
testcase_19 AC 2 ms
5,376 KB
testcase_20 AC 2 ms
5,376 KB
testcase_21 AC 2 ms
5,376 KB
testcase_22 AC 2 ms
5,376 KB
testcase_23 AC 2 ms
5,376 KB
testcase_24 AC 8 ms
5,376 KB
testcase_25 AC 130 ms
5,376 KB
testcase_26 AC 2 ms
5,376 KB
testcase_27 AC 2 ms
5,376 KB
testcase_28 AC 2 ms
5,376 KB
testcase_29 AC 2 ms
5,376 KB
testcase_30 AC 4 ms
7,296 KB
testcase_31 AC 3 ms
5,376 KB
testcase_32 AC 2 ms
5,376 KB
testcase_33 AC 3 ms
5,376 KB
testcase_34 AC 90 ms
5,376 KB
testcase_35 AC 4 ms
7,296 KB
testcase_36 AC 2 ms
5,376 KB
testcase_37 AC 26 ms
5,376 KB
testcase_38 AC 183 ms
7,296 KB
testcase_39 AC 13 ms
5,376 KB
testcase_40 AC 2 ms
5,376 KB
testcase_41 AC 15 ms
5,376 KB
testcase_42 AC 2 ms
5,376 KB
testcase_43 AC 25 ms
5,376 KB
testcase_44 AC 2 ms
5,376 KB
testcase_45 AC 2 ms
5,376 KB
testcase_46 AC 2 ms
5,376 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <iostream>
#include <vector>
#include <set>
#include <unordered_set>
#include <map>
#include <unordered_map>
#include <cstdio>
#include <bitset>
#include <queue>
#include <deque>
#include <algorithm>
#include <numeric>
#include <cassert>
#include <functional>
#include <stack>
#include <cmath>
#include <string>
#include <complex>
#include <cassert>
#define REP(i, N) for (int i = 0; i < (int)N; i++)
#define FOR(i, a, b) for (int i = a; i < (int)b; i++)
#define ALL(x) (x).begin(), (x).end()

using namespace std;

constexpr int inf = 1 << 30;
constexpr long long llinf = 1LL << 62;
constexpr int mod = 1000000007;  // 998244353;
constexpr int dy[4] = {-1, 0, 1, 0}, dx[4] = {0, -1, 0, 1};

using ll = long long;
using Pii = pair<int, int>;
using Pll = pair<ll, ll>;

inline int popcount(ll x) { return __builtin_popcountll(x); }
inline int div2num(ll x) { return __builtin_ctzll(x); }
inline bool bit(ll x, int b) { return (x >> b) & 1; }

template <class T>
bool chmax(T& a, const T& b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T>
bool chmin(T& a, const T& b) {
  if (b < a) {
    a = b;
    return 1;
  }
  return 0;
}

template <class T>
string to_string(T s);
template <class S, class T>
string to_string(pair<S, T> p);
string to_string(string s) { return s; }
string to_string(const char s[]) { return to_string(string(s)); }

template <class T>
string to_string(T v) {
  if (v.empty()) return "{}";
  string ret = "{";
  for (auto x : v) ret += to_string(x) + ",";
  ret.back() = '}';
  return ret;
}

template <class S, class T>
string to_string(pair<S, T> p) {
  return "{" + to_string(p.first) + ":" + to_string(p.second) + "}";
}
void debug() { cerr << endl; }

template <class Head, class... Tail>
void debug(Head head, Tail... tail) {
  cerr << to_string(head) << " ";
  debug(tail...);
}

template <class T>
vector<T> makev(int n, T v) {
  return vector<T>(n, v);
}

struct IO {
#ifdef _WIN32
  inline char getchar_unlocked() { return getchar(); }
  inline void putchar_unlocked(char c) { putchar(c); }
#endif
  std::string separator = " ";
  template <class T>
  inline void read(T& x) {
    char c;
    do {
      c = getchar_unlocked();
    } while (c != '-' && (c < '0' || '9' < c));
    bool minus = 0;
    if (c == '-') {
      minus = 1;
      c = getchar_unlocked();
    }
    x = 0;
    while ('0' <= c && c <= '9') {
      x *= 10;
      x += c - '0';
      c = getchar_unlocked();
    }
    if (minus) x = -x;
  }
  inline void read(std::string& x) {
    char c;
    do {
      c = getchar_unlocked();
    } while (c == ' ' || c == '\n');
    x.clear();
    do {
      x += c;
      c = getchar_unlocked();
    } while (c != ' ' && c != '\n' && c != EOF);
  }
  template <class T>
  inline void read(std::vector<T>& v) {
    for (auto& x : v) read(x);
  }
  template <class S, class T>
  inline void read(std::pair<S, T>& p) {
    read(p.first);
    read(p.second);
  }
  template <class Head, class... Tail>
  inline void read(Head& head, Tail&... tail) {
    read(head);
    read(tail...);
  }
  template <class T>
  inline void write(T x) {
    char buf[32];
    int p = 0;
    if (x < 0) {
      x = -x;
      putchar_unlocked('-');
    }
    if (x == 0) putchar_unlocked('0');
    while (x > 0) {
      buf[p++] = (x % 10) + '0';
      x /= 10;
    }
    while (p) {
      putchar_unlocked(buf[--p]);
    }
  }
  inline void write(std::string x) {
    for (char c : x) putchar_unlocked(c);
  }
  inline void write(const char s[]) {
    for (int i = 0; s[i] != 0; ++i) putchar_unlocked(s[i]);
  }
  template <class T>
  inline void write(std::vector<T> v) {
    if (v.empty()) return;
    for (auto itr = v.begin(); itr + 1 != v.end(); ++itr) {
      write(*itr);
      write(separator);
    }
    write(v.back());
  }
  template <class Head, class... Tail>
  inline void write(Head head, Tail... tail) {
    write(head);
    write(separator);
    write(tail...);
  }
  template <class Head, class... Tail>
  inline void writeln(Head head, Tail... tail) {
    write(head, tail...);
    write("\n");
  }
  void set_separator(std::string s) { separator = s; }
} io;

struct Prime {
  int n;
  vector<int> table;
  vector<int> primes;
  Prime(int _n = 100000) {
    n = _n + 1;
    table.resize(n, -1);
    table[0] = 0;
    table[1] = -1;
    for (int i = 2; i * i < n; ++i) {
      if (table[i] == -1) {
        for (int j = i * i; j < n; j += i) {
          table[j] = i;
        }
      }
    }
  }
  void enumerate_primes() {
    primes.clear();
    for (int i = 2; i < n; ++i) {
      if (table[i] == -1) primes.push_back(i);
    }
  }
  vector<pair<long long, int>> prime_factor(long long x) {
    map<long long, int> mp;
    long long div = 2;
    int p = 0;
    while (n <= x && div * div <= x) {
      if (x % div == 0) {
        mp[div]++;
        x /= div;
      } else {
        if (p + 1 < primes.size()) {
          div = primes[++p];
        } else {
          div++;
        }
      }
    }
    if (x < n) {
      while (table[x] != -1) {
        mp[table[x]]++;
        x /= table[x];
      }
    }
    if (x > 1) mp[x]++;
    vector<pair<long long, int>> ret;
    for (auto p : mp) ret.push_back(p);
    return ret;
  }
};

template <int MOD = 1000000007>
struct Math {
  vector<long long> fact, factinv, inv;
  Math(int n = 100000) {
    fact.resize(n + 1);
    factinv.resize(n + 1);
    inv.resize(n + 1);
    fact[0] = fact[1] = 1;
    factinv[0] = factinv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i <= n; ++i) {
      fact[i] = fact[i - 1] * i % MOD;
      inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
      factinv[i] = factinv[i - 1] * inv[i] % MOD;
    }
  }
  long long C(int n, int r) {
    if (n < r || n < 0 || r < 0) {
      return 0;
    } else {
      return fact[n] * (factinv[r] * factinv[n - r] % MOD) % MOD;
    }
  }
  long long P(int n, int r) {
    if (n < r || n < 0 || r < 0) {
      return 0;
    } else {
      return fact[n] * factinv[n - r] % MOD;
    }
  }
  long long H(int n, int r) { return C(n + r - 1, r); }
};

struct UnionFind {
  vector<int> data;
  vector<vector<int>> groups;
  UnionFind(int n) : data(n, -1) {}
  int root(int v) { return data[v] < 0 ? v : data[v] = root(data[v]); }
  bool unite(int u, int v) {
    if ((u = root(u)) == (v = root(v))) {
      return 1;
    } else {
      if (-data[u] < -data[v]) swap(u, v);
      data[u] += data[v];
      data[v] = u;
      return 0;
    }
  }
  int size(int v) { return -data[root(v)]; }
  void make_groups() {
    map<int, vector<int>> mp;
    for (int i = 0; i < data.size(); ++i) mp[root(i)].push_back(i);
    groups.clear();
    for (auto p : mp) groups.push_back(p.second);
  }
};

namespace phc {
long long modpow(long long a, long long n) {
  long long res = 1;
  while (n > 0) {
    if (n & 1) res = res * a % mod;
    a = a * a % mod;
    n >>= 1;
  }
  return res;
}
long long modinv(long long a) {
  long long b = mod, u = 1, v = 0;
  while (b) {
    long long t = a / b;
    a -= t * b;
    swap(a, b);
    u -= t * v;
    swap(u, v);
  }
  u %= mod;
  if (u < 0) u += mod;
  return u;
}
long long gcd(long long a, long long b) { return b != 0 ? gcd(b, a % b) : a; }
long long lcm(long long a, long long b) { return a / gcd(a, b) * b; }
}  // namespace phc

template <int mod>
struct ModInt {
  int x;
  ModInt() : x(0) {}
  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
  ModInt& operator+=(const ModInt& p) {
    if ((x += p.x) >= mod) x -= mod;
    return *this;
  }
  ModInt& operator-=(const ModInt& p) {
    if ((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }
  ModInt& operator*=(const ModInt& p) {
    x = (int)(1LL * x * p.x % mod);
    return *this;
  }
  ModInt& operator/=(const ModInt& p) {
    *this *= p.inverse();
    return *this;
  }
  ModInt operator-() const { return ModInt(-x); }
  ModInt operator+(const ModInt& p) const { return ModInt(*this) += p; }
  ModInt operator-(const ModInt& p) const { return ModInt(*this) -= p; }
  ModInt operator*(const ModInt& p) const { return ModInt(*this) *= p; }
  ModInt operator/(const ModInt& p) const { return ModInt(*this) /= p; }
  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while (b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }
  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while (n > 0) {
      if (n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }
  friend ostream& operator<<(ostream& os, const ModInt& p) { return os << p.x; }
  friend istream& operator>>(istream& is, ModInt& a) {
    int64_t t;
    is >> t;
    a = ModInt<mod>(t);
    return (is);
  }
  static int get_mod() { return mod; }
};

template <class T>
struct RangeFold {
  int n;
  vector<T> dat;
  using F = function<T(T, T)>;
  const F f;
  const T id;
  RangeFold(int _n, const F _f, const T _id) : n(1), f(_f), id(_id) {
    while (n < _n) n <<= 1;
    dat.resize(2 * n, id);
  }
  void update(int i, T x) {
    dat[i += n] = x;
    while (i >>= 1) dat[i] = f(dat[i * 2], dat[i * 2 + 1]);
  }
  T query(int l, int r) {
    T xl = id, xr = id;
    for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
      if (l & 1) xl = f(xl, dat[l++]);
      if (r & 1) xr = f(dat[--r], xr);
    }
    return f(xl, xr);
  }
  T& operator[](const int i) { return dat[n + i]; }
};

template <int L>
struct KthNext {
  array<vector<int>, L> next;
  KthNext(int n, function<int(int)> f) {
    for (int i = 0; i < L; ++i) next[i].resize(n);
    for (int i = 0; i < n; ++i) next[0][i] = f(i);
    for (int i = 0; i < L - 1; ++i)
      for (int j = 0; j < n; ++j) next[i + 1][j] = next[i][next[i][j]];
  }
  int get(int x, long long k) {
    for (int i = 0; i < L; ++i)
      if ((k >> i) & 1) x = next[i][x];
    return x;
  }
};

long long inv_count(vector<int>& vec) {
  int n = vec.size();
  vector<int> bit(n + 1);
  long long ret = 0;
  for (int i = n - 1; i >= 0; --i) {
    int x = vec[i];
    while (x > 0) {
      ret += bit[x];
      x -= x & -x;
    }
    x = vec[i] + 1;
    while (x < n + 1) {
      bit[x] += 1;
      x += x & -x;
    }
  }
  return ret;
}

using modint = ModInt<mod>;

int main() {
  ll N, V;
  io.read(N, V);
  vector<ll> A(N);
  io.read(A);
  ll sum = accumulate(ALL(A), 0LL);
  if (V >= sum) {
    io.writeln("Draw");
    return 0;
  }
  vector<int> memo(1 << N, -1);
  function<int(int)> dfs = [&](int i) {
    if (memo[i] == -1) {
      ll s = 0;
      int turn = 0;
      if (popcount(i) % 2 == 1) turn = 1;
      REP(j, N) if (bit(i, j)) s += A[j];
      int ok = 0;
      REP(j, N) if (!bit(i, j)) {
        if (s + A[j] <= V) {
          ok = 1;
          break;
        }
      }
      if (!ok) {
        memo[i] = 1 - turn;
      } else {
        if (turn == 0) {
          memo[i] = 1;
          REP(j, N) if (!bit(i, j) && s + A[j] <= V) {
            bool ret = dfs(i | (1 << j));
            if (ret == 0) memo[i] = 0;
          }
        } else {
          memo[i] = 0;
          REP(j, N) if (!bit(i, j) && s + A[j] <= V) {
            bool ret = dfs(i | (1 << j));
            if (ret == 1) memo[i] = 1;
          }
        }
      }
    }
    return memo[i];
  };
  io.writeln(dfs(0) ? "Second" : "First");
  return 0;
}
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