답안 #221854

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
221854 2020-04-11T10:00:12 Z TheLorax 건물 4 (JOI20_building4) C++11
11 / 100
1199 ms 524292 KB
#include <bits/stdc++.h>

//#pragma GCC optimize ("O3")
//#pragma GCC optimize ("Ofast")

#define F first
#define S second
#define MT make_tuple
#define MP make_pair
#define SZ(a) ((int)(a).size())
#define PB push_back
#define LBS 20
#define MOD ((ll)(1<<16)+1)//((ll)((1<<24)+(1<<16)+(1<<8)+1))//((long long)1e9+7) //1e9+9
#define PHIMOD ((ll)(1<<16)) //((ll)(1<<24))
#define LEFT(i) (2*(i))
#define RIGHT(i) (2*(i)+1)
#define PAR(i) ((i)/2)
#define ALL(a) (a).begin(), (a).end()
#define END(s) {cout << s;return;}

using namespace std;

typedef int64_t ll;
typedef double rat;
typedef long long bi;
typedef pair<ll, ll> ii;
typedef std::vector<ii> vii;
typedef std::map<ll, ll> mii;
typedef bitset<LBS> bis;
typedef std::vector<bis> vbs;
typedef array<std::vector<ll>, 4> av; //aa,ab,ba,bb

template<class T>
void in(T &a){
  for(auto &x: a)
    cin >> x;
}

template<class T>
void out(T &a, string sep=" "){
  for(auto x: a)
    cout << x<<sep;
  cout << '\n';
}

template<class T>
void err(T &a, string sep=" "){
  for(auto x: a)
    cerr << x <<sep;
  cerr << '\n';
}

void fft(std::vector<ll> &v, std::vector<ll> &f, int n, ll a){
  std::vector<int> mp(n);
  std::vector<ll> pa(n+1);
  pa[0]=1;
  for(int i=1; i<=n; i++)
    pa[i]=(pa[i-1]*a)%MOD;
  iota(ALL(mp),0);
  sort(ALL(mp),[](const int &a, const int &b){
    for(int i=0; i<32; i++)
      if((a&(1<<i))!=(b&(1<<i)))
        return (a&(1<<i))<(b&(1<<i));
    return false;
  });
  for(int i=0; i<n; i++)
    f[i]=v[mp[i]];
  ll t;
  for(int l=1; l<n; l*=2)
    for(int st=0; st<n; st+=l*2)
      for(int i=0; i<l; i++){
        t=f[st+i];
        f[st+i]=(t+(pa[(i*n/l/2)%n]*f[st+i+l])%MOD+MOD)%MOD;
        f[st+i+l]=(t+(pa[((i+l)*n/l/2)%n]*f[st+i+l])%MOD+MOD)%MOD;
      }
}

ll np2=1, fa, infa;
std::vector<ll> pa;
map<ii,av> miiav;

void rek(const av &a, av &v, int st=0, int l=np2){
  if(miiav.count({st,l}))
    v=miiav[{st,l}];
  if(l==1){
    v[0][1]=v[3][0]=1;
    return;
  }
  av lv, rv, lf, rf;
  for(int i=0; i<4; i++){
    lv[i].resize(l*2,0);
    rv[i].resize(l*2,0);
    lf[i].resize(l*2,0);
    rf[i].resize(l*2,0);
  }
  rek(a,lv,st,l/2);
  rek(a,rv,st+l/2,l/2);
  for(int i=0; i<4; i++){
    fft(lv[i], lf[i], l*2, pa[np2/l]);
    fft(rv[i], rf[i], l*2, pa[np2/l]);
  }
  av f;
  for(int j=0; j<4; j++){
    f[j].resize(l*2,0);
    for(int k=0; k<4; k++)
      if(a[k/2][st+l/2-1]<=a[k%2][st+l/2])
        for(int i=0; i<l*2; i++)
          f[j][i]+=lf[(j/2)*2+k/2][i]*rf[(k%2)*2+j%2][i];
  }
  for(int i=0; i<4; i++){
    fft(f[i],v[i],l*2, pa[np2*2-np2/l]);
    for(auto &x: v[i])
      x=(x!=0);
  }
  miiav[{st,l}]=v;
}

void path(const av &a, string &s, int an, int dir, int st=0, int l=np2){
  if(l==1){
    assert(dir==0 || dir==3);
    s[st]=(dir==0?'A':'B');
    return;
  }
  av lv, rv;
  for(int i=0; i<4; i++){
    lv[i].resize(l*2);
    rv[i].resize(l*2);
  }
  rek(a,lv,st,l/2);
  rek(a,rv,st+l/2,l/2);
  for(int k=0; k<4; k++)
    if(a[k/2][st+l/2-1]<=a[k%2][st+l/2])
      for(int i=max(0,an-l); i<=min(an,l); i++)
        if(lv[(dir/2)*2+k/2][i] && rv[(k%2)*2+dir%2][an-i]){
          path(a,s,i,(dir/2)*2+k/2,st,l/2);
          path(a,s,an-i,(k%2)*2+dir%2,st+l/2,l/2);
          return;
        }
  assert(1);
}

int main(){
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int n;
  cin >> n;
  n*=2;
  fa=3;
  while(np2<n)
    np2*=2;
  for(int i=1; i<PHIMOD/np2/2; i*=2)
    fa=(fa*fa)%MOD;
  // cerr << MOD<<" m "<<PHIMOD<<"\n";
  // for(ll i=1; i<PHIMOD; i*=2){
  //   // if(fa==1){
  //     cerr << fa <<" "<<i<<"\n";
  //     // break;
  //   // }
  //   fa=(fa*fa)%MOD;
  // }
  // return 0;
  infa=1;
  for(int i=1; i<np2*2; i++){
    // cerr << i<<" "<<infa<<"\n";
    infa=(infa*fa)%MOD;
  }
  pa.resize(np2*2+1);
  pa[0]=1;
  for(int i=1; i<=np2*2; i++)
    pa[i]=(pa[i-1]*fa)%MOD;
  // cerr << fa << " "<<infa<<" f\n";
  // return 0;
  av a;
  for(int i=0; i<2; i++){
    a[i].resize(n);
    in(a[i]);
    a[i].resize(np2);
  }
  for(int i=n; i<np2; i++){
    a[0][i]=a[0][n-1]+a[1][n-1];
    a[1][i]=0;
  }
  av v;
  for(int i=0; i<4; i++)
    v[i].resize(np2*2);
  rek(a,v);
  for(int i=0; i<4; i++)
    if(v[i][np2-n/2]){
      string s(np2,'0');
      path(a,s,np2-n/2,i);
      cout << s.substr(0,n)<<"\n";
      return 0;
    }
  cout << "-1\n";
}
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 257 ms 9464 KB Output is correct
6 Correct 1199 ms 9568 KB Output is correct
7 Correct 1174 ms 9464 KB Output is correct
8 Correct 1177 ms 9468 KB Output is correct
9 Correct 1195 ms 9592 KB Output is correct
10 Correct 1194 ms 9592 KB Output is correct
11 Correct 1176 ms 9596 KB Output is correct
12 Correct 1193 ms 9720 KB Output is correct
13 Correct 1165 ms 9592 KB Output is correct
14 Correct 1176 ms 9720 KB Output is correct
15 Correct 1170 ms 9592 KB Output is correct
16 Correct 272 ms 9664 KB Output is correct
17 Correct 1187 ms 9592 KB Output is correct
18 Correct 1187 ms 9592 KB Output is correct
19 Correct 1198 ms 9732 KB Output is correct
20 Correct 1184 ms 9464 KB Output is correct
21 Correct 1174 ms 9592 KB Output is correct
22 Correct 1186 ms 9592 KB Output is correct
23 Correct 1173 ms 9592 KB Output is correct
24 Correct 1171 ms 9592 KB Output is correct
25 Correct 1171 ms 9560 KB Output is correct
26 Correct 1184 ms 9720 KB Output is correct
27 Correct 1176 ms 9592 KB Output is correct
28 Correct 1172 ms 9464 KB Output is correct
29 Correct 1181 ms 9636 KB Output is correct
30 Correct 1173 ms 9592 KB Output is correct
31 Correct 1177 ms 9720 KB Output is correct
32 Correct 1167 ms 9592 KB Output is correct
33 Correct 1184 ms 9728 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 257 ms 9464 KB Output is correct
6 Correct 1199 ms 9568 KB Output is correct
7 Correct 1174 ms 9464 KB Output is correct
8 Correct 1177 ms 9468 KB Output is correct
9 Correct 1195 ms 9592 KB Output is correct
10 Correct 1194 ms 9592 KB Output is correct
11 Correct 1176 ms 9596 KB Output is correct
12 Correct 1193 ms 9720 KB Output is correct
13 Correct 1165 ms 9592 KB Output is correct
14 Correct 1176 ms 9720 KB Output is correct
15 Correct 1170 ms 9592 KB Output is correct
16 Correct 272 ms 9664 KB Output is correct
17 Correct 1187 ms 9592 KB Output is correct
18 Correct 1187 ms 9592 KB Output is correct
19 Correct 1198 ms 9732 KB Output is correct
20 Correct 1184 ms 9464 KB Output is correct
21 Correct 1174 ms 9592 KB Output is correct
22 Correct 1186 ms 9592 KB Output is correct
23 Correct 1173 ms 9592 KB Output is correct
24 Correct 1171 ms 9592 KB Output is correct
25 Correct 1171 ms 9560 KB Output is correct
26 Correct 1184 ms 9720 KB Output is correct
27 Correct 1176 ms 9592 KB Output is correct
28 Correct 1172 ms 9464 KB Output is correct
29 Correct 1181 ms 9636 KB Output is correct
30 Correct 1173 ms 9592 KB Output is correct
31 Correct 1177 ms 9720 KB Output is correct
32 Correct 1167 ms 9592 KB Output is correct
33 Correct 1184 ms 9728 KB Output is correct
34 Runtime error 576 ms 524292 KB Execution killed with signal 9 (could be triggered by violating memory limits)
35 Halted 0 ms 0 KB -