Submission #701964

#TimeUsernameProblemLanguageResultExecution timeMemory
701964PCTprobabilityGondola (IOI14_gondola)C++17
60 / 100
1092 ms4688 KiB
#include <bits/stdc++.h>
#include "gondola.h"
using namespace std;
using ll = long long;
const ll mod = 1000000009;
ll modPow(ll a,ll b,ll c){
  ll r=1;
  while(b){
    if(b&1) (r*=a)%=c;
    (a*=a)%=c;
  }
  return r;
}
int valid(int n, int inputSeq[]){
  for(int i=0;i<n;i++) inputSeq[i]--;
  set<int> s;
  for(int i=0;i<n;i++) s.insert(inputSeq[i]);
  if(s.size()!=n) return 0;
  for(int i=0;i<n;i++){
    if(inputSeq[i]<n){
      for(int j=0;j<n;j++){
        if(inputSeq[(i+j)%n]<n&&inputSeq[(i+j)%n]!=(inputSeq[i]+j)%n) return 0;
      }
      return 1;
    }
  }
  return 1;
}
int replacement(int n, int gondolaSeq[], int replacementSeq[]){
  for(int i=0;i<n;i++) gondolaSeq[i]--;
  int m=0;
  for(int i=0;i<n;i++) m=max(m,gondolaSeq[i]);
  vector<int> gon(n);
  int v=0;
  for(int i=0;i<n;i++){
    if(gondolaSeq[i]<n){
      v=(i-gondolaSeq[i]+n)%n;
    }
  }
  for(int i=0;i<n;i++) gon[(i+v)%n]=i;
  vector<int> rev(500000,-1);
  for(int i=0;i<n;i++) rev[gondolaSeq[i]]=i;
  set<int> idx;
  for(int i=0;i<n;i++){
    if(gondolaSeq[i]>=n) idx.insert(i);
  }
  for(int i=n;i<=m;i++){
    if(rev[i]==-1){
      int id=(*idx.begin());
      replacementSeq[i-n]=gon[id]+1;
      gon[id]=i;
    }
    else{
      replacementSeq[i-n]=gon[rev[i]]+1;
      idx.erase(rev[i]);
      gon[rev[i]]=i;
    }
  }
  return m-n+1;
}
int countReplacement(int n, int inputSeq[]){
  for(int i=0;i<n;i++) inputSeq[i]--;
  bool ok=true;
  set<int> s;
  for(int i=0;i<n;i++) s.insert(inputSeq[i]);
  if(s.size()!=n) ok=false;
  for(int i=0;i<n;i++){
    if(inputSeq[i]<n){
      for(int j=0;j<n;j++){
        if(inputSeq[(i+j)%n]<n&&inputSeq[(i+j)%n]!=(inputSeq[i]+j)%n) ok=false;
      }
      break;
    }
  }
  if(!ok) return 0;
  int m=0;
  for(int i=0;i<n;i++) m=max(m,inputSeq[i]);
  vector<int> gon(n);
  int v=0;
  ll c=n;
  for(int i=0;i<n;i++){
    if(inputSeq[i]<n){
      c=1;
      v=(i-inputSeq[i]+n)%n;
    }
  }
  ll ans=1;
  for(int i=0;i<n;i++) gon[(i+v)%n]=i;
  vector<int> rev(500000,-1);
  for(int i=0;i<n;i++) rev[inputSeq[i]]=i;
  set<int> idx;
  for(int i=0;i<n;i++){
    if(inputSeq[i]>=n) idx.insert(i);
  }
  vector<int> id;
  id.push_back(n-1);
  for(int i=0;i<n;i++){
    if(inputSeq[i]>=n) id.push_back(inputSeq[i]);
  }
  sort(id.begin(),id.end());
  ll now=idx.size();
  for(int i=0;i+1<id.size();i++){
    ans*=modPow(now,id[i+1]-id[i]-1,mod);
    ans%=mod;
    now--;
  }
  ans*=c;
  ans%=mod;
  return int(ans);
}

Compilation message (stderr)

gondola.cpp: In function 'int valid(int, int*)':
gondola.cpp:18:14: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   18 |   if(s.size()!=n) return 0;
      |      ~~~~~~~~^~~
gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:66:14: warning: comparison of integer expressions of different signedness: 'std::set<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
   66 |   if(s.size()!=n) ok=false;
      |      ~~~~~~~~^~~
gondola.cpp:102:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  102 |   for(int i=0;i+1<id.size();i++){
      |               ~~~^~~~~~~~~~
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