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Submission #852297

# Submission time Handle Problem Language Result Execution time Memory
852297 2023-09-21T14:44:31 Z DobromirAngelov Gondola (IOI14_gondola) C++14
75 / 100
 37 ms 5068 KB 
#include "gondola.h"
#include<bits/stdc++.h>

using namespace std;

const int MAXN=1e5+5;
const int MOD=1e9+9;

map<int,int> m;

int valid(int n, int a[])
{
    for(int i=0;i<n;i++)
    {
        if(m[a[i]]!=0) return 0;
        m[a[i]]=1;
    }

    int mn=1e9, idx=-1;
    for(int i=0;i<n;i++)
    {
        if(a[i]<mn)
        {
            mn=a[i];
            idx=i;
        }
    }
    if(mn<=n)
    {
        int cur=mn+1;
        for(int i=idx+1;i!=idx;i++)
        {
            if(i>=n) i-=n;
            if(a[i]<=n && a[i]!=cur) return 0;
            cur++;
            if(i==n-1) i=-1;
        }
    }

    return 1;
}

int b[MAXN];
vector<pair<int,int> > v;

int replacement(int n, int a[], int replacementSeq[])
{
    int mn=1e9,idx=-1;
    for(int i=0;i<n;i++)
    {
        if(a[i]<mn)
        {
            mn=a[i];
            idx=i;
        }
    }

    if(mn>n)
    {
        for(int i=0;i<n;i++) b[i]=i+1;
    }
    else
    {
        int cur=mn;
        b[idx]=cur++;
        for(int i=idx+1;i!=idx;i++)
        {
            if(i>=n) i-=n;
            if(cur>n) cur-=n;
            b[i]=cur++;
            if(i==n-1) i=-1;
        }
    }

    for(int i=0;i<n;i++)
    {
        if(a[i]>n) v.push_back({a[i],b[i]});
    }

    sort(v.begin(), v.end());
    int ptr=0;
    int cur=n;
    for(int i=0;i<v.size();i++)
    {
        replacementSeq[ptr++]=v[i].second;
        cur++;
        while(cur<v[i].first)
        {
            replacementSeq[ptr++]=cur++;
        }
    }

    return ptr;
}

int fastPow(int a,int pw)
{
    long long ret=1;
    while(pw>0)
    {
        if(pw&1) ret=ret*a%MOD;
        a=(long long) a*a%MOD;
        pw/=2;
    }
    return ret;
}

int countReplacement(int n, int a[])
{
    if(!valid(n,a)) return 0;
    int mx=0;
    for(int i=0;i<n;i++)
    {
        mx=max(mx,a[i]);
    }
    if(mx==n) return 1;

    int mn=1e9,idx=-1;
    for(int i=0;i<n;i++)
    {
        if(a[i]<mn)
        {
            mn=a[i];
            idx=i;
        }
    }

    if(mn>n)
    {
        for(int i=0;i<n;i++) b[i]=i+1;
    }
    else
    {
        int cur=mn;
        b[idx]=cur++;
        for(int i=idx+1;i!=idx;i++)
        {
            if(i>=n) i-=n;
            if(cur>n) cur-=n;
            b[i]=cur++;
            if(i==n-1) i=-1;
        }
    }

    for(int i=0;i<n;i++)
    {
        if(a[i]>n) v.push_back({a[i],b[i]});
    }

    sort(v.begin(), v.end());
    int ptr=0;
    int last=0;
    int cur=n;
    long long ans=1;
    for(int i=0;i<v.size();i++)
    {
        ptr++;
        cur++;
        while(cur<v[i].first)
        {
            ptr++;
            cur++;
        }
        ans=ans*fastPow(v.size()-i, ptr-last-1)%MOD;
        last=ptr;
    }

    if(mn>n)
    {
        for(int i=2;i<=n;i++) ans=ans*i%MOD;
    }

    return ans;
}

Compilation message

gondola.cpp: In function 'int replacement(int, int*, int*)':
gondola.cpp:83:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   83 |     for(int i=0;i<v.size();i++)
      |                 ~^~~~~~~~~
gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:155:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  155 |     for(int i=0;i<v.size();i++)
      |                 ~^~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 10 ms 2136 KB Output is correct
7 Correct 8 ms 600 KB Output is correct
8 Correct 18 ms 3928 KB Output is correct
9 Correct 6 ms 1368 KB Output is correct
10 Correct 25 ms 4440 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 756 KB Output is correct
6 Correct 10 ms 2136 KB Output is correct
7 Correct 7 ms 600 KB Output is correct
8 Correct 18 ms 3928 KB Output is correct
9 Correct 6 ms 1368 KB Output is correct
10 Correct 29 ms 4688 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 13 ms 2140 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 31 ms 4696 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 2 ms 344 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 7 ms 856 KB Output is correct
12 Correct 7 ms 1112 KB Output is correct
13 Correct 11 ms 1712 KB Output is correct
14 Correct 6 ms 856 KB Output is correct
15 Correct 18 ms 2516 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 356 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct

Subtask #9
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 37 ms 5068 KB Output is correct
10 Correct 26 ms 4304 KB Output is correct
11 Correct 9 ms 1880 KB Output is correct
12 Correct 12 ms 2264 KB Output is correct
13 Incorrect 4 ms 1012 KB Output isn't correct
14 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 36 ms 5068 KB Output is correct
10 Correct 25 ms 4312 KB Output is correct
11 Correct 10 ms 1880 KB Output is correct
12 Correct 12 ms 2264 KB Output is correct
13 Incorrect 3 ms 856 KB Output isn't correct
14 Halted 0 ms 0 KB -