Submission #1010880

#TimeUsernameProblemLanguageResultExecution timeMemory
1010880MardonbekhazratovGondola (IOI14_gondola)C++17
90 / 100
40 ms9060 KiB
#include "gondola.h"
#include<bits/stdc++.h>

using namespace std;

int valid(int n, int inputSeq[]){
    int mn=n,id=-1;
    map<int,int>cnt;
    for(int i=0;i<n;i++){
        cnt[inputSeq[i]]++;
        if(inputSeq[i]<=mn){
            mn=inputSeq[i];
            id=i;
        }
    }
    for(auto [x,y]:cnt){
        if(y>1) return 0;
    }
    if(mn==n) return 1;
    id=(id-mn+1+n)%n;
    for(int i=0;i<n;i++){
        if(inputSeq[(id+i)%n]==i+1 || inputSeq[(id+i)%n]>n) continue;
        return 0;
    }
    return 1;
}

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


int replacement(int n, int gondolaSeq[], int replacementSeq[]){
    const int N=2.5e5;
    vector<int>cnt(N+1,0);
    int mn=N,id=0,mx=0;
    set<int>s;
    set<pair<int,int>>t;
    for(int i=0;i<n;i++){
        cnt[gondolaSeq[i]]++;
        if(gondolaSeq[i]<mn){
            mn=gondolaSeq[i];
            id=i;
        }
        mx=max(mx,gondolaSeq[i]);
        if(gondolaSeq[i]<=n) s.insert(gondolaSeq[i]);
        else t.insert({gondolaSeq[i],i});
    }
    if(mn<=n){
        id=(id-mn+1+n)%n;
    }
    int ans=0,last=n+1;
    for(auto [x,y]:t){
        int k=(y-id+n)%n;
        replacementSeq[ans++]=k+1;
        for(int j=last;j<x;j++) replacementSeq[ans++]=j;
        last=x+1;
    }
    return ans;
}

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


const int MOD=1e9+9;

long long binpow(int a,int b){
    if(b==0) return 1;
    if(b==1) return a;
    long long x=binpow(a,b/2);
    if(b&1){
        return a*x%MOD*x%MOD;
    }
    return x*x%MOD;
}

int countReplacement(int n, int inputSeq[]){
    if(!valid(n,inputSeq)){
        return 0;
    }
    int c=0;
    vector<int>cnt((int)2.5e5+2,0);
    vector<int>f={n};
    for(int i=0;i<n;i++){
        if(inputSeq[i]>n) f.push_back(inputSeq[i]),c++;
        cnt[inputSeq[i]]++;
    }
    sort(f.begin(),f.end());
    long long ans=1;
    if(c==n) ans=n;
    for(int i=1;i<f.size();i++){
        ans=ans*binpow(c,f[i]-f[i-1]-1)%MOD;
        c--;
    }
    return ans;
}

Compilation message (stderr)

gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:89:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |     for(int i=1;i<f.size();i++){
      |                 ~^~~~~~~~~
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