#626088 (C++17) No.1421 国勢調査 (Hard)

提出ソース

結果

問題	No.1421 国勢調査 (Hard)
ユーザー	👑 tute7627
提出日時	2021-03-05 23:16:02
言語	C++17 (gcc 13.2.0 + boost 1.83.0)
結果	AC
実行時間	113 ms / 2,000 ms
コード長	7,978 bytes
コンパイル時間	2,763 ms
コンパイル使用メモリ	217,096 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-04-16 11:13:41
合計ジャッジ時間	5,299 ms
ジャッジサーバーID （参考情報）	judge2 / judge3

このコードへのチャレンジ（β）

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 6,816 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,944 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	2 ms 6,944 KB
testcase_06	AC	2 ms 6,944 KB
testcase_07	AC	2 ms 6,940 KB
testcase_08	AC	2 ms 6,940 KB
testcase_09	AC	2 ms 6,940 KB
testcase_10	AC	2 ms 6,940 KB
testcase_11	AC	2 ms 6,940 KB
testcase_12	AC	2 ms 6,944 KB
testcase_13	AC	2 ms 6,940 KB
testcase_14	AC	2 ms 6,940 KB
testcase_15	AC	2 ms 6,944 KB
testcase_16	AC	2 ms 6,940 KB
testcase_17	AC	2 ms 6,940 KB
testcase_18	AC	2 ms 6,940 KB
testcase_19	AC	2 ms 6,940 KB
testcase_20	AC	2 ms 6,944 KB
testcase_21	AC	2 ms 6,944 KB
testcase_22	AC	107 ms 6,944 KB
testcase_23	AC	113 ms 6,940 KB
testcase_24	AC	110 ms 6,940 KB
testcase_25	AC	108 ms 6,940 KB
testcase_26	AC	111 ms 6,940 KB
testcase_27	AC	109 ms 6,944 KB
testcase_28	AC	111 ms 6,940 KB
testcase_29	AC	108 ms 6,944 KB
testcase_30	AC	109 ms 6,940 KB
testcase_31	AC	111 ms 6,944 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

raw source code

//#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 T>void debug(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(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>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<ll>&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;}
//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() = default;
  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> 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,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;
}
const ll MAX_W=52;
struct BitMatrix {
  ll h,w;
  vector<bitset<MAX_W>>A;
  BitMatrix() {};
  BitMatrix(ll n, ll m) :h(n),w(m){
    A.assign(h,bitset<MAX_W>(0));
  };
  BitMatrix(vector<vector<ll>>v):h(v.size()),w(v[0].size()){
    A.assign(h,bitset<MAX_W>(0));
    for(ll i=0;i<h;i++)for(ll j=0;j<w;j++)A[i][j]=(v[i][j]&1);  
  }
  ll height() {
    return h;
  }

  ll width() {
    return w;
  }
  static BitMatrix I(size_t n) {
    BitMatrix mat(n,n);
    for(int i = 0; i < n; i++) mat[i][i] = 1;
    return (mat);
  }
  inline bitset<MAX_W> &operator[](ll k) {
    return A[k];
  }
  inline bitset<MAX_W> operator[](ll k) const{
    return A[k];
  }
  friend ostream &operator<<(ostream &os, BitMatrix &p) {
    ll n = p.height(), m = p.width();
    for(ll i = 0; i < n; i++) {
      os << "[";
      for(ll j = 0; j < m; j++) {
        os << p[i][j] << (j + 1 == m ? "]\n" : ",");
      }
    }
    return (os);
  }
  BitMatrix &operator*=(const BitMatrix &B){
    BitMatrix C(h,B.w);
    for(int i = 0; i < h; i++){
      for(int j = 0; j < w; j++){
        if(this->A[i][j])C[i] |= B[j];
      }
    }
    A.swap(C.A);
    return (*this);
  }
  BitMatrix operator*(BitMatrix &B) const {
    return (BitMatrix(*this) *= B);
  }
  BitMatrix &operator^=(long long k) {
    BitMatrix B = BitMatrix::I(height());
    while(k > 0) {
      if(k & 1) B *= *this;
      *this *= *this;
      k >>= 1LL;
    }
    A.swap(B.A);
    return (*this);
  }
  BitMatrix operator^(const long long k) const {
    return (BitMatrix(*this) ^= k);
  }

};

ll sweep(BitMatrix &a, bool is_extended){
  ll h = a.height(), w = a.width();
  ll rank = 0;
  ll limit = w - is_extended;
  for(ll col=0;col<limit;col++){
    ll pivot = -1;
    for(ll row=rank;row<h;row++){
      if(a[row][col]){
        pivot=row;
        break;
      }
    }
    if(pivot==-1)continue;
    auto tmp=a[pivot][col];
    swap(a[pivot],a[rank]);
    for(ll row=0;row<h;row++){
      if(row!=rank&&a[row][col]!=0){
        a[row]^=a[rank];
      }  
    }
    rank++;
  }
  return rank;
}
vector<bool>linear_equation(BitMatrix a){
  ll h=a.height(),w=a.width();
  //cout<<a<<endl;
  ll rank = sweep(a,true);
  //cout<<a<<endl;
  vector<bool>ret;
  for(ll row=rank;row<h;row++)if(a[row][w-1])return ret;
  ret.assign(w-1,0);
  for(ll i=0;i<rank;i++){
    rep(j,0,w){
      if(a[i][j]){
        ret[j]=a[i][w-1];
        break;
      }
    }
  }
  return ret;
}

vector<vector<bool>>kernel(BitMatrix a){
  ll h=a.height(),w=a.width();
  ll rank = sweep(a,true);
  vector<ll>cols(w-1,0),piv;
  for(ll i=0;i<h;i++)for(ll j=0;j<w-1;j++){
    if(a[i][j]==1){
      cols[j]=1;
      piv.push_back(j);
      break;
    }
  }
  vector<vector<bool>>ret;
  for(ll i=0;i<w-1;i++){
    if(cols[i])continue;
    vector<bool>v(w-1);
    v[i]=true;
    for(ll j=0;j<piv.size();j++)v[piv[j]]=a[j][i];
    ret.push_back(v);
  }
  return ret;
}
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  ll n,m;cin>>n>>m;
  vector<ll>y(m);
  vector<vector<ll>>b(m);
  rep(i,0,m){
    ll a;cin>>a;
    while(a--){
      ll bx;cin>>bx;bx--;
      b[i].PB(bx);
    }
    cin>>y[i];
  }
  vector<ll>ret(n);
  rep(i,0,30){
    BitMatrix mat(m,n+1);
    rep(j,0,m){
      for(auto z:b[j])mat[j][z]=1;
      mat[j][n]=y[j]>>i&1;
    }
    auto tmp=linear_equation(mat);
    if(tmp.empty())judge=false;
    else rep(j,0,n)if(tmp[j])ret[j]^=1<<i;
  }
  if(judge)rep(i,0,n)cout<<ret[i]<<endl;
  else cout<<-1<<endl;
  return 0;
}

yukicoder

結果

テストケース

ソースコード