結果

問題 No.1330 Multiply or Divide
ユーザー hamrayhamray
提出日時 2021-01-09 14:55:48
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 91 ms / 2,000 ms
コード長 5,487 bytes
コンパイル時間 1,872 ms
コンパイル使用メモリ 191,584 KB
実行使用メモリ 6,400 KB
最終ジャッジ日時 2024-11-17 18:50:05
合計ジャッジ時間 4,031 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge4
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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 25 ms
6,272 KB
testcase_02 AC 1 ms
5,248 KB
testcase_03 AC 2 ms
5,248 KB
testcase_04 AC 2 ms
5,248 KB
testcase_05 AC 2 ms
5,248 KB
testcase_06 AC 21 ms
6,400 KB
testcase_07 AC 91 ms
6,400 KB
testcase_08 AC 33 ms
6,400 KB
testcase_09 AC 37 ms
6,400 KB
testcase_10 AC 32 ms
6,400 KB
testcase_11 AC 31 ms
6,272 KB
testcase_12 AC 32 ms
6,400 KB
testcase_13 AC 3 ms
5,248 KB
testcase_14 AC 3 ms
5,248 KB
testcase_15 AC 2 ms
5,248 KB
testcase_16 AC 2 ms
5,248 KB
testcase_17 AC 2 ms
5,248 KB
testcase_18 AC 29 ms
6,400 KB
testcase_19 AC 28 ms
6,400 KB
testcase_20 AC 28 ms
6,272 KB
testcase_21 AC 27 ms
6,400 KB
testcase_22 AC 28 ms
6,272 KB
testcase_23 AC 30 ms
6,400 KB
testcase_24 AC 2 ms
5,248 KB
testcase_25 AC 2 ms
5,248 KB
testcase_26 AC 2 ms
5,248 KB
testcase_27 AC 2 ms
5,248 KB
testcase_28 AC 2 ms
5,248 KB
testcase_29 AC 2 ms
5,248 KB
testcase_30 AC 2 ms
5,248 KB
testcase_31 AC 2 ms
5,248 KB
testcase_32 AC 2 ms
5,248 KB
testcase_33 AC 2 ms
5,248 KB
testcase_34 AC 21 ms
5,504 KB
testcase_35 AC 7 ms
5,248 KB
testcase_36 AC 19 ms
5,248 KB
testcase_37 AC 18 ms
5,248 KB
testcase_38 AC 12 ms
5,248 KB
testcase_39 AC 8 ms
5,248 KB
testcase_40 AC 10 ms
5,248 KB
testcase_41 AC 6 ms
5,248 KB
testcase_42 AC 16 ms
5,248 KB
testcase_43 AC 18 ms
5,248 KB
testcase_44 AC 22 ms
6,400 KB
testcase_45 AC 21 ms
6,400 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 <bits/stdc++.h>
//#include <atcoder/all>
//using namespace atcoder;
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")

using namespace std;

typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef pair<int, int> pii;
typedef pair<long long, long long> PLL;
typedef pair<int, PII> TIII;

typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;


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

template<class T1, class T2> inline bool chmax(T1 &a, T2 b) {if (a < b) {a = b; return true;} return false;}
template<class T1, class T2> inline bool chmin(T1 &a, T2 b) {if (a > b) {a = b; return true;} return false;}
const double EPS = 1e-9, PI = acos(-1);
const double pi = 3.141592653589793238462643383279;
//ここから編集    
typedef string::const_iterator State;
ll GCD(ll a, ll b){
  return (b==0)?a:GCD(b, a%b);
}
ll LCM(ll a, ll b){
  return a/GCD(a, b) * b;
}
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; }

  bool operator==(const ModInt &p) const { return x == p.x; }

  bool operator!=(const ModInt &p) const { return x != p.x; }

  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; }
};

using modint = ModInt< 998244353 >;
template< typename T >
struct Combination {
  vector< T > _fact, _rfact, _inv;

  Combination(int sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) {
    _fact[0] = _rfact[sz] = _inv[0] = 1;
    for(int i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i;
    _rfact[sz] /= _fact[sz];
    for(int i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1);
    for(int i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1];
  }

  inline T fact(int k) const { return _fact[k]; }

  inline T rfact(int k) const { return _rfact[k]; }

  inline T inv(int k) const { return _inv[k]; }

  T P(int n, int r) const {
    if(r < 0 || n < r) return 0;
    return fact(n) * rfact(n - r);
  }

  T C(int p, int q) const {
    if(q < 0 || p < q) return 0;
    return fact(p) * rfact(q) * rfact(p - q);
  }

  T H(int n, int r) const {
    if(n < 0 || r < 0) return (0);
    return r == 0 ? 1 : C(n + r - 1, r);
  }
};

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);
  cout << fixed << setprecision(12);
  
  ll N, M, P; cin >> N >> M >> P;

  vector<pair<ll, ll>> a(N);
  map<ll,pair<ll,ll>> mp;
  bool f = false;
  REP(i,N) {
    cin >> a[i].first;
    ll t = a[i].first;
    int cnt = 0;
    while(t%P == 0){
      t/=P;
      cnt++;
    }
    cnt++;
    
    if(mp.find(cnt) == mp.end()){
      mp[cnt] = make_pair(t, a[i].first);
    }else{
      if(mp[cnt].first < t){
        mp[cnt] = make_pair(max(mp[cnt].first, t), a[i].first);
      }else if(mp[cnt].first == t && mp[cnt].second < a[i].first) {
        mp[cnt] = make_pair(max(mp[cnt].first, t), a[i].first);
      }
    }
    if(a[i].first > M) f = true;
    if(t != 1) f = true;
  }
  if(!f){
    cout << -1 << endl;
    return 0;
  }

  map<ll, int> dist;
  priority_queue<pair<int, ll>, vector<pair<int, ll>>, greater<pair<int, ll>>> pq;
  pq.push({0, 1});
  dist[1] = 0;
  int ans = INT_MAX;
  while(pq.size()){
    auto p = pq.top();
    pq.pop();
    ll v = p.second;
    int cost = p.first;
    if(v > M){
      ans = min(ans, cost);
      continue;
    }
    if(dist[v] < cost) continue;
    if(v % P == 0){
      ll u = v/P;
      if(dist.find(u) == dist.end()) {
        dist[u] = dist[v] + 1;
        pq.push({dist[u], u});
      }else if(dist[u] > dist[v] + 1) {
        dist[u] = dist[v] + 1;
        pq.push({dist[u], u});
      }
    }else{
    for(auto e: mp){
      ll u = v * e.second.second;
      if(dist.find(u) == dist.end()) {
        dist[u] = dist[v] + 1;
        pq.push({dist[u], u});
      }else if(dist[u] > dist[v] + 1) {
        dist[u] = dist[v] + 1;
        pq.push({dist[u], u});
      }
    }
    }
  }
  cout << ans << endl;
  return 0;
}
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