Submission #1192853

#	Time	Username	Problem	Language	Result	Execution time	Memory
1192853		Newtonabc	Gondola (IOI14_gondola)	C++20	90 / 100	37 ms	8264 KiB

gondola

#include "gondola.h"
#include<bits/stdc++.h>
using namespace std;
const long long MOD=1e9+9;
const int N=3e5+10;
long long cnt[N],a[N],suf[N];
set<long long> change;
long long modofpow(long long n,long long p){
  long long mult=n,ans=1;
  while(p){
    if(p%2LL==1LL) ans*=mult,ans%=MOD;
    p/=2LL;
    mult=mult*mult; 
    mult%=MOD;
  }
  return ans;
}
int valid(int n, int inputSeq[])
{
  bool v=true;
  int mn=INT_MAX;
  int idx=-1;
  set<int> s;
  for(int i=0;i<n;i++){
    if(s.find(inputSeq[i])!=s.end()) v=false;
    s.insert(inputSeq[i]);
    if(inputSeq[i]>n) continue;
    if(mn>inputSeq[i]){
      mn=inputSeq[i];
      idx=i;
    }
  }
  int now;
  if(idx!=-1){
    now=inputSeq[idx];
    for(int i=idx;i<idx+n;i++,now++){
      int con=i%n;
      if(inputSeq[con]>n) continue;
      if(inputSeq[con]!=now){
        v=false;
      }
    }
  }
  return v;
}

//----------------------

int replacement(int n, int gondolaSeq[], int ans[])
{
  int idx=n;
  for(int i=0;i<n;i++){
    if(gondolaSeq[i]>n) continue;
    idx=i;
    break;
  }
  int pt=gondolaSeq[idx];
  if(idx!=n) for(int i=idx;i<idx+n;i++){
    int con=(pt-1)%n+1;
    a[con]=gondolaSeq[i%n];
    pt++;
  }
  if(idx==n) for(int i=1;i<=n;i++) a[i]=gondolaSeq[i-1];
  for(int i=1;i<=n;i++){
    if(a[i]<=n) continue;
    cnt[a[i]]=i;
  }
  int mx=*max_element(a+1,a+n+1);
  int now=cnt[mx];
  for(int i=mx;i>n;i--){
    if(cnt[i]==0) cnt[i]=now;
    if(cnt[i]!=now) now=cnt[i];
  }
  // for(int i=n+1;i<=mx;i++) cout<<cnt[i] <<" ";
  // cout<<"\n";
  int len=mx-n;
  for(int i=1;i<=n;i++) a[i]=i;
  for(int i=n+1;i<=mx;i++){
    int ansidx=i-n-1;
    ans[ansidx]=a[cnt[i]];
    a[cnt[i]]=i;
  }
  return len;
}

//----------------------

int countReplacement(int n, int gondolaSeq[])
{
  if(!valid(n,gondolaSeq)) return 0;
  bool cyc=true;
  for(int i=0;i<n;i++) if(gondolaSeq[i]<=n) cyc=false;
  int idx=n;
  for(int i=0;i<n;i++){
    if(gondolaSeq[i]>n) continue;
    idx=i;
    break;
  }
  int pt=gondolaSeq[idx];
  if(idx!=n) for(int i=idx;i<idx+n;i++){
    int con=(pt-1)%n+1;
    a[con]=gondolaSeq[i%n];
    pt++;
  }
  if(idx==n) for(int i=1;i<=n;i++) a[i]=gondolaSeq[i-1];
  int mx=*max_element(a+1,a+n+1);
  for(int i=n+1;i<=mx;i++) cnt[i]=0;
  for(int i=1;i<=n;i++){
    if(a[i]<=n) continue;
    change.insert(a[i]);
  }
  // for(int i=n+1;i<=mx;i++) cout<<cnt[i] <<" ";
  // cout<<"\n";
  long long ans=1;
  if(!change.empty()) ans=modofpow((long long)(change.size()),((*change.begin())-((long long)n+1LL)));
  long long tmp=change.size();
  for(auto it=change.begin();it!=change.end();it++){
    tmp--;
    auto nxt=it;
    nxt++;
    if(nxt==change.end()) break;
    ans*=modofpow(tmp,*nxt-*it-1LL);
    ans%=MOD;
  }
  if(cyc) ans*=(long long)n,ans%=MOD;
  return ans;
}

• Subtask 1: 5 / 5
• Subtask 2: 5 / 5
• Subtask 3: 10 / 10
• Subtask 4: 5 / 5
• Subtask 5: 10 / 10
• Subtask 6: 20 / 20
• Subtask 7: 5 / 5
• Subtask 8: 15 / 15
• Subtask 9: 15 / 15
• Subtask 10: 0 / 10