結果

問題 No.1634 Sorting Integers (Multiple of K) Hard
ユーザー 👑 tute7627tute7627
提出日時 2021-07-30 21:26:15
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 2,202 ms / 3,000 ms
コード長 12,408 bytes
コンパイル時間 2,309 ms
コンパイル使用メモリ 211,580 KB
実行使用メモリ 199,716 KB
最終ジャッジ日時 2023-10-14 03:26:03
合計ジャッジ時間 40,951 ms
ジャッジサーバーID
(参考情報)
judge11 / judge14
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
4,348 KB
testcase_01 AC 1 ms
4,352 KB
testcase_02 AC 1 ms
4,352 KB
testcase_03 AC 5 ms
4,352 KB
testcase_04 AC 3 ms
4,396 KB
testcase_05 AC 605 ms
4,648 KB
testcase_06 AC 623 ms
4,820 KB
testcase_07 AC 654 ms
4,596 KB
testcase_08 AC 1,361 ms
154,956 KB
testcase_09 AC 2 ms
4,348 KB
testcase_10 AC 2 ms
4,348 KB
testcase_11 AC 1,925 ms
199,716 KB
testcase_12 AC 1,812 ms
131,644 KB
testcase_13 AC 1,901 ms
198,656 KB
testcase_14 AC 1,928 ms
199,276 KB
testcase_15 AC 1,905 ms
199,488 KB
testcase_16 AC 1,919 ms
198,804 KB
testcase_17 AC 470 ms
53,548 KB
testcase_18 AC 679 ms
80,748 KB
testcase_19 AC 966 ms
98,824 KB
testcase_20 AC 327 ms
18,856 KB
testcase_21 AC 63 ms
6,132 KB
testcase_22 AC 1,196 ms
35,384 KB
testcase_23 AC 1,605 ms
91,252 KB
testcase_24 AC 1,704 ms
105,052 KB
testcase_25 AC 1,891 ms
131,588 KB
testcase_26 AC 2,202 ms
132,724 KB
testcase_27 AC 2,017 ms
177,768 KB
testcase_28 AC 1,922 ms
187,460 KB
testcase_29 AC 1,929 ms
198,272 KB
testcase_30 AC 1,951 ms
198,936 KB
testcase_31 AC 1,974 ms
198,816 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 #

//#define _GLIBCXX_DEBUG

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

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};  
template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}
template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}
template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
  auto tmp = v;
  for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
  rearrange(ord, head);
  rearrange(ord, tail...);
}
template<typename T> vector<int> ascend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]<v[j];});
  return ord;
}
template<typename T> vector<int> descend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]>v[j];});
  return ord;
}
ll FLOOR(ll n,ll div){return n>=0?n/div:(n-div+1)/div;}
ll CEIL(ll n,ll div){return n>=0?(n+div-1)/div:n/div;}
ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}
template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};
template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
template< typename T = int >
struct edge {
  int to;
  T cost;
  int id;
  edge():id(-1){};
  edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}
  operator int() const { return to; }
};

template<typename T>
using Graph = vector<vector<edge<T>>>;
template<typename T>
Graph<T>revgraph(const Graph<T> &g){
  Graph<T>ret(g.size());
  for(int i=0;i<g.size();i++){
    for(auto e:g[i]){
      int to = e.to;
      e.to = i;
      ret[to].push_back(e);
    }
  }
  return ret;
}
template<typename T>
Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
  Graph<T> ret(n);
  for(int es = 0; es < m; es++){
    int u,v;
    T w=1;
    cin>>u>>v;u-=indexed,v-=indexed;
    if(weighted)cin>>w;
    ret[u].emplace_back(v,w,es);
    if(!directed)ret[v].emplace_back(u,w,es);
  }
  return ret;
}
template<typename T>
Graph<T> readParent(int n,int indexed=1,bool directed=true){
  Graph<T>ret(n);
  for(int i=1;i<n;i++){
    int p;cin>>p;
    p-=indexed;
    ret[p].emplace_back(i);
    if(!directed)ret[i].emplace_back(p);
  }
  return ret;
}
template<class Key, class Value, class Hash>
struct hash_map {
  using size_type = std::size_t;
  using key_type = Key;
  using value_type = Value;
  using pair_type = std::pair<key_type, value_type>;

  enum class State: std::uint8_t {
    INACTIVE,
    ACTIVE,
    FILLED
  };

  Hash hashf;

  std::vector<State> st;
  std::vector<pair_type> bck;
  size_type mask;
  size_type prode;
  size_type sz;
  size_type min_elem;
  hash_map():
    mask(0), prode(-1), sz(0), min_elem(0) {
  }

  size_type find_empty(const key_type& key) {
    size_type h = hashf(key);
    for(size_type delta = 0;;delta++) {
      size_type i = (h + delta) & mask;
      if(st[i] != State::FILLED) {
        if(prode < delta) prode = delta;
        return i;
      }
    }
  }

  size_type find_filled(const key_type& key) {
    if(sz == 0) return size_type(-1);
    size_type h = hashf(key);
    for(size_type delta = 0; delta <= prode; delta++) {
      size_type i = (h + delta) & mask;
      if(st[i] == State::FILLED) {
        if(bck[i].first == key) {
          return i;
        }
      }
      else if(st[i] == State::INACTIVE) {
        return size_type(-1);
      }
    }
    return size_type(-1);
  }

  size_type find_or_allocate(const key_type& key) {
    size_type h = hashf(key);
    size_type hole = size_type(-1);
    size_type delta = 0;
    for(; delta <= prode; delta++) {
      size_type i = (h + delta) & mask;
      if(st[i] == State::FILLED) {
        if(bck[i].first == key) return i;
      }
      else if(st[i] == State::INACTIVE) return i;
      else {
        if(hole == size_type(-1)) {
          hole = i;
        }
      }
    }
    if(hole != size_type(-1)) return hole;
    for(; ; delta++) {
      size_type i = (h + delta) & mask;
      if(st[i] != State::FILLED) {
        prode = delta;
        return i;
      }
    }
  }

  void reserve(int next_cnt) {
    size_type required_cnt = next_cnt + (next_cnt >> 1) + 1;
    if(required_cnt > bck.size()) {
      next_cnt = 4;
      while(next_cnt < required_cnt) next_cnt <<= 1;
    }
    else if(next_cnt <= bck.size() / 4) {
      next_cnt = std::max(4, (int)bck.size() / 2);
    }
    else {
      return;
    }
    std::vector<State> old_st(next_cnt, State::INACTIVE);
    std::vector<pair_type> old_bck(next_cnt);

    std::swap(old_st, st);
    std::swap(old_bck, bck);
    mask = next_cnt - 1;
    sz = 0;
    prode = 0;
    min_elem = next_cnt - 1;


    for(size_type pos = 0; pos < old_bck.size(); pos++) {
      if(old_st[pos] == State::FILLED) {
        size_type i = find_empty(old_bck[pos].first);
        st[i] = State::FILLED;
        bck[i] = std::move(old_bck[pos]);
        min_elem = std::min(min_elem, i);
        sz += 1;
      }
    }
  }

  void insert(const key_type& key, const value_type& val) {
    reserve(sz + 1);
    size_type i = find_or_allocate(key);
    if(st[i] != State::FILLED) {
      st[i] = State::FILLED;
      bck[i] = pair_type(key, val);
      min_elem = std::min(min_elem, i);
      sz++;
    }
    else {
      bck[i] = pair_type(key, val);
    }
  }

  bool erase(const key_type& key) {
    size_type i = find_filled(key);
    if(i == size_type(-1)) {
      return false;
    }
    else {
      st[i] = State::ACTIVE;
      bck[i].~pair_type();
      sz--;
      return true;
    }
  }

  pair_type* get(const key_type& key) {
    size_type i = find_filled(key);
    if(i == size_type(-1)) {
      return nullptr;
    }
    else {
      return &bck[i];
    }
  }

  pair_type* get_or_insert(const key_type& key, const value_type val) {
    reserve(sz + 1);
    size_type i = find_or_allocate(key);
    if(st[i] != State::FILLED) {
      st[i] = State::FILLED;
      bck[i] = pair_type(key, val);
      min_elem = std::min(min_elem, i);
      sz++;
    }
    return &bck[i];
  }

  pair_type get_and_erase(const key_type& key) {
    size_type i = find_filled(key);
    st[i] = State::ACTIVE;
    pair_type p = std::move(bck[i]);
    sz--;
    return p;
  }


  template<class Func>
  void search_all(Func func) {
    for(size_type i = min_elem; i < bck.size(); i++) {
      if(st[i] == State::FILLED) {
        min_elem = i;
        size_type res = func(bck[i]);
        if(res & 0b10) {
          st[i] = State::ACTIVE;
          bck[i].~pair_type();
          sz--;
        }
        if(res & 0b01) {
           return;
        }
      }
    }
  }

  size_type size() const { return sz; }
};


struct Hashu32 {
  std::uint32_t operator()(std::uint32_t key) {
    int c2=0x27d4eb2d; // a prime or an odd constant
    key = (key ^ 61) ^ (key >> 16);
    key = key + (key << 3);
    key = key ^ (key >> 4);
    key = key * c2;
    key = key ^ (key >> 15);
    return key;
  }
};

struct Hashu64 {
  std::size_t operator()(std::uint64_t key) {
    key = (~key) + (key << 18); // key = (key << 18) - key - 1;
    key = key ^ (key >> 31);
    key = key * 21; // key = (key + (key << 2)) + (key << 4);
    key = key ^ (key >> 11);
    key = key + (key << 6);
    key = key ^ (key >> 22);
    return (int) key;
  }

};
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  int n,k;cin>>n>>k;
  vector<int>v;
  rep(i,1,10){
    int c;cin>>c;
    rep(_,0,c)v.PB(i);
  }
  vector<hash_map<int,int,Hashu32>>mp(1<<n);
  int h=n/2;
  {
    auto dfs=[&](auto &&f,int num,int rem,int bit)->void{
      if(num==0){
        auto p=mp[bit].get_or_insert(rem%k,0);
        p->se++;
        return;
      }
      rep(i,0,n){
        if(i>0&&v[i]==v[i-1]&&(~bit>>i-1&1))continue;
        f(f,num-1,rem*10+v[i],bit|1<<i);
      }
    };
    dfs(dfs,h,0,0);
  }
  //rep(i,0,1<<n){cout<<i<<":";debug(mp[i]);}
  {
    int mask=(1<<n)-1;
    ll mult=1;
    rep(_,0,h)mult*=10;
    auto dfs=[&](auto &&f,int num,int rem,int bit)->void{
      if(num==0){
        auto p=mp[bit^mask].get((k-rem*mult%k)%k);
        if(p!=nullptr)res+=p->se;
        return;
      }
      rrep(i,0,n){
        if(i<n-1&&v[i]==v[i+1]&&(~bit>>i+1&1))continue;
        f(f,num-1,rem*10+v[i],bit|1<<i);
      }
    };
    dfs(dfs,n-h,0,0);
  }
  cout<<res<<endl;
  return 0;
}
0