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Submission #98758

# Submission time Handle Problem Language Result Execution time Memory
98758 2019-02-25T16:03:21 Z Alexa2001 Gondola (IOI14_gondola) C++17
100 / 100
 102 ms 6136 KB 
#include "gondola.h"
#include <bits/stdc++.h>

using namespace std;

const int Nmax = 250005, Mod = 1e9 + 9;
typedef long long ll;

int a[Nmax];

int valid(int n, int A[])
{
    map<int,int> ap;

    int i, rot = Mod;
    for(i=0; i<n; ++i)
        if(A[i] <= n)
        {
            if(rot == Mod) rot = (n + i - A[i]) % n;
                else if(rot != (n + i - A[i]) % n) return 0;
        }
        else ++ap[A[i]];

    for(auto it : ap)
        if(it.second > 1) return 0;
    return 1;
}

bool cmp(int x, int y)
{
    return a[x] < a[y];
}

int replacement(int n, int A[], int ans[])
{
    int i, last = n+1, rot = 0;
    vector<int> v;

    for(i=0; i<n; ++i)
        if(A[i] <= n) rot = (A[i] - 1) - i;
    if(rot < 0) rot += n;

    for(i=0; i<n; ++i) a[(i + rot) % n] = A[i];

    for(i=0; i<n; ++i)
        if(a[i] > n) v.push_back(i);

    sort(v.begin(), v.end(), cmp);

    int nr = 0;
    for(auto it : v)
    {
        ans[nr++] = it+1;
        for(i=last; i<a[it]; ++i) ans[nr++] = i;
        last = a[it] + 1;
    }
    return nr;
}

ll power(ll a, int b)
{
    ll ans = 1;
    while(b)
    {
        if(b&1) ans = ans * a % Mod;
        a = a * a % Mod; b >>= 1;
    }
    return ans;
}

int countReplacement(int n, int A[])
{
    if(!valid(n, A)) return 0;

    int i;
    vector<int> v;
    for(i=0; i<n; ++i)
        if(A[i] > n) v.push_back(A[i] - n);

    sort(v.begin(), v.end());
    int m = v.size();
    ll ans = 1;

    int last = 0;
    for(auto it : v)
    {
        ans *= power(m, it - last - 1);
        ans %= Mod;
        --m;
        last = it;
    }
    if(v.size() == n) ans = ans * n % Mod;
    return (int) ans;
}

Compilation message

gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:92:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     if(v.size() == n) ans = ans * n % Mod;
        ~~~~~~~~~^~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 3 ms 256 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 3 ms 256 KB Output is correct
5 Correct 0 ms 356 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 3 ms 256 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 9 ms 512 KB Output is correct
7 Correct 16 ms 640 KB Output is correct
8 Correct 13 ms 768 KB Output is correct
9 Correct 6 ms 384 KB Output is correct
10 Correct 11 ms 640 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 9 ms 512 KB Output is correct
7 Correct 14 ms 640 KB Output is correct
8 Correct 12 ms 640 KB Output is correct
9 Correct 6 ms 384 KB Output is correct
10 Correct 22 ms 632 KB Output is correct
11 Correct 2 ms 384 KB Output is correct
12 Correct 2 ms 256 KB Output is correct
13 Correct 8 ms 512 KB Output is correct
14 Correct 2 ms 256 KB Output is correct
15 Correct 21 ms 640 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 3 ms 384 KB Output is correct
8 Correct 3 ms 384 KB Output is correct
9 Correct 2 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 384 KB Output is correct
4 Correct 2 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 3 ms 384 KB Output is correct
9 Correct 3 ms 384 KB Output is correct
10 Correct 4 ms 384 KB Output is correct
11 Correct 13 ms 992 KB Output is correct
12 Correct 13 ms 1024 KB Output is correct
13 Correct 24 ms 1416 KB Output is correct
14 Correct 12 ms 1024 KB Output is correct
15 Correct 21 ms 2364 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 432 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 256 KB Output is correct
2 Correct 3 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 3 ms 384 KB Output is correct

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 3 ms 384 KB Output is correct
5 Correct 2 ms 384 KB Output is correct
6 Correct 3 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 3 ms 384 KB Output is correct
9 Correct 76 ms 3292 KB Output is correct
10 Correct 36 ms 2552 KB Output is correct
11 Correct 20 ms 1536 KB Output is correct
12 Correct 20 ms 1664 KB Output is correct
13 Correct 7 ms 640 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 3 ms 384 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 3 ms 256 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 57 ms 3320 KB Output is correct
10 Correct 37 ms 2496 KB Output is correct
11 Correct 15 ms 1408 KB Output is correct
12 Correct 19 ms 1664 KB Output is correct
13 Correct 7 ms 640 KB Output is correct
14 Correct 83 ms 5368 KB Output is correct
15 Correct 102 ms 6136 KB Output is correct
16 Correct 19 ms 1536 KB Output is correct
17 Correct 59 ms 4224 KB Output is correct
18 Correct 30 ms 2560 KB Output is correct