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Submission #791252

# Submission time Handle Problem Language Result Execution time Memory
791252 2023-07-23T19:37:32 Z TimDee Gondola (IOI14_gondola) C++17
100 / 100
 37 ms 5712 KB 
#include "gondola.h"
#include <bits/stdc++.h>
using namespace std;
#define forn(i,n) for(int i=0;i<n;++i)
#define pb push_back
#define all(x) x.begin(),x.end()
#define pi pair<int,int>
#define f first
#define s second
using ll = long long;
const int inf=1e9;
const int mod=1e9+9;

int replacement(int n, int a[], int r[]) {
  int m=inf;
  forn(i,n) m=min(m,a[i]);
  if (m>n) {
    vector<int> p;
    set<int> s;
    forn(i,n) s.insert(i);
    map<int,int> mp;
    forn(i,n) mp[a[i]]=i;
    int l=0; forn(i,n) l=max(l,a[i]);
    vector<int> v(n); forn(i,n) v[i]=i+1;
    for (int i=n+1; i<=l; ++i) {
      if (mp.count(i)) {
        p.pb(v[mp[i]]);
        s.erase(mp[i]);
      } else {
        p.pb(v[*s.begin()]);
        v[*s.begin()]=i;
      }
    }
    forn(i,p.size()) r[i]=p[i];
    return p.size();
  }

  vector<int> p;
  set<int> s;
  forn(i,n) if (a[i]>n) s.insert(i);
  map<int,int> mp;
  forn(i,n) mp[a[i]]=i;
  int l=0; forn(i,n) l=max(l,a[i]);
  int z=-1;
  forn(i,n) if (a[i]<=n) z=i;
  vector<int> v(n); 
  if (z==-1) forn(i,n) v[i]=i+1;
  else forn(i,n) v[i]=((a[z]-1+i-z+n)%n)+1;
  for (int i=n+1; i<=l; ++i) {
    if (mp.count(i)) {
      p.pb(v[mp[i]]);
      s.erase(mp[i]);
    } else {
      p.pb(v[*s.begin()]);
      v[*s.begin()]=i;
    }
  }
  forn(i,p.size()) r[i]=p[i];
  return p.size();
}

ll pw(ll a, ll b) {
  ll r=1;
  while(b) {
    if (b&1) r=(1ll*r*a)%mod;
    a=(1ll*a*a)%mod;
    b>>=1;
  }
  return r;
}

int countReplacement(int n, int a[]) {
  vector<int> s; forn(i,n) s.pb(a[i]);
  sort(all(s));
  forn(i,n-1) if (s[i]==s[i+1]) return 0;

  int m=inf;
  forn(i,n) m=min(m,a[i]);
  if (m>n) {
    vector<int> v; forn(i,n) v.pb(a[i]);
    sort(all(v));
    ll ans=1;
    int k=n;
    int l=n;
    for(auto&x:v) {
      ans=(1ll*ans*pw(k,x-l-1))%mod;
      --k;
      l=x;
    }
    ans=(ans*n)%mod;
    return ans;
  }

  int i=0;
  for(;i<n;++i) if (a[i]<=n) break;
  i-=a[i]-1;
  if (i<0) i+=n;

  vector<int> v;

  int z=1;
  for (int j=i; j<i+n; ++j) {
    if (a[j%n]<=n) z&=a[j%n]==j-i+1;
    else v.pb(a[j%n]); 
  }
  if (!z) return 0;
  if (!v.size()) return 1;

  sort(all(v)); 
  int k=v.size();
  ll ans=1;
  int l=n;
  for(auto&x:v) {
    ans=(1ll*ans*pw(k,x-l-1))%mod;
    --k;
    l=x;
  }
  return ans;
}

int valid(int n, int a[]) {
  return !!countReplacement(n,a);
}

Compilation message

gondola.cpp: In function 'int replacement(int, int*, int*)':
gondola.cpp:4:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    4 | #define forn(i,n) for(int i=0;i<n;++i)
......
   34 |     forn(i,p.size()) r[i]=p[i];
      |          ~~~~~~~~~~             
gondola.cpp:34:5: note: in expansion of macro 'forn'
   34 |     forn(i,p.size()) r[i]=p[i];
      |     ^~~~
gondola.cpp:4:32: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
    4 | #define forn(i,n) for(int i=0;i<n;++i)
......
   58 |   forn(i,p.size()) r[i]=p[i];
      |        ~~~~~~~~~~               
gondola.cpp:58:3: note: in expansion of macro 'forn'
   58 |   forn(i,p.size()) r[i]=p[i];
      |   ^~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 308 KB Output is correct
5 Correct 1 ms 304 KB Output is correct
6 Correct 5 ms 980 KB Output is correct
7 Correct 11 ms 1728 KB Output is correct
8 Correct 8 ms 1616 KB Output is correct
9 Correct 4 ms 724 KB Output is correct
10 Correct 12 ms 1744 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 308 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 6 ms 960 KB Output is correct
7 Correct 11 ms 1744 KB Output is correct
8 Correct 8 ms 1572 KB Output is correct
9 Correct 3 ms 724 KB Output is correct
10 Correct 12 ms 1664 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 6 ms 1224 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 12 ms 1772 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 304 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 308 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 420 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 304 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 17 ms 5076 KB Output is correct
12 Correct 22 ms 5712 KB Output is correct
13 Correct 37 ms 4516 KB Output is correct
14 Correct 23 ms 4920 KB Output is correct
15 Correct 27 ms 3928 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 304 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 308 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 312 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 15 ms 1740 KB Output is correct
10 Correct 15 ms 1476 KB Output is correct
11 Correct 5 ms 804 KB Output is correct
12 Correct 10 ms 824 KB Output is correct
13 Correct 2 ms 340 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 312 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 308 KB Output is correct
9 Correct 14 ms 1756 KB Output is correct
10 Correct 12 ms 1488 KB Output is correct
11 Correct 5 ms 852 KB Output is correct
12 Correct 8 ms 848 KB Output is correct
13 Correct 3 ms 468 KB Output is correct
14 Correct 18 ms 2516 KB Output is correct
15 Correct 21 ms 2636 KB Output is correct
16 Correct 5 ms 724 KB Output is correct
17 Correct 14 ms 1744 KB Output is correct
18 Correct 9 ms 1232 KB Output is correct