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Submission #112524

# Submission time Handle Problem Language Result Execution time Memory
112524 2019-05-20T12:05:35 Z Mercenary Gondola (IOI14_gondola) C++14
100 / 100
 113 ms 6052 KB 
#include "gondola.h"
#include<bits/stdc++.h>
using namespace std;

typedef pair<int,int> ii;
typedef long long ll;
#define mp make_pair
const int maxl = 25e4 + 5;
const int mod = 1e9 + 9;


int valid(int n, int inputSeq[])
{
    int root = -1;
    map<int,int> cnt;
    for(int i = 0 ; i < n ; ++i){
        if(cnt[inputSeq[i]]++ == 1)return 0;
        if(inputSeq[i] <= n){
            root = i;
        }
    }
    if(root == -1)return 1;
    for(int j = (root + 1) % n , i = inputSeq[root] % n + 1 ; j != root ; j = (j + 1) % n , i = i % n + 1){
        if(inputSeq[j] <= n && inputSeq[j] != i){
            return 0;
        }
    }
    return 1;
}

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

int replacement(int n, int gondolaSeq[], int replacementSeq[])
{
    assert(valid(n,gondolaSeq));
    vector<ii> a;
    for(int i = 0 ; i < n ; ++i){
        if(gondolaSeq[i] > n)a.push_back(mp(gondolaSeq[i],i));
    }
    sort(a.begin(),a.end());
    int now = 0;
    int l = 0;
    vector<int> avai , pos(maxl);
    int root = -1;
    for(int i = 0 ; i < n ; ++i){
        if(gondolaSeq[i] <= n){
            root = i;
            break;
        }
    }
//    printf("%d",root);
    for(int i = (root == -1 ? 1 : gondolaSeq[root]) , j = (root == -1 ? 0 : root) , cnt = n ; cnt-- ; j = (j + 1) % n , i = i % n + 1){
        pos[i] = j;
        if(gondolaSeq[j] != i){
            gondolaSeq[j] = i;
            avai.push_back(i);
        }
    }
    int res = 1;
    for(int j = n + 1 ; now < a.size() ; ++j){
        if(a[now].first == j){
//            printf("%d\n", gondolaSeq[a[now].second]);
            replacementSeq[l++] = gondolaSeq[a[now].second];
            avai.erase(find(avai.begin(),avai.end(),gondolaSeq[a[now].second]));
//            cerr << gondolaSeq[a[now].second] << endl;
            ++now;
        }else{
            replacementSeq[l++] = avai.back();
            gondolaSeq[pos[avai.back()]] = j;
            pos[j] = pos[avai.back()];
            avai.back() = j;
            res = (ll)res * avai.size() % mod;
        }
    }
    for(int i = 1 ; i <= n ; ++i)res = res * i % mod;
    return l;
}

//----------------------
int Pow(int x , int y){
    if(y == 0)return 1;
    int r = Pow(x,y/2);
    if(y & 1)return (ll)r * r % mod * x % mod;
    return (ll)r * r % mod;
}
int countReplacement(int n, int gondolaSeq[])
{
    if(valid(n,gondolaSeq) == 0)return 0;
    vector<ii> a(1,mp(n,1));
    for(int i = 0 ; i < n ; ++i){
        if(gondolaSeq[i] > n)a.push_back(mp(gondolaSeq[i],i));
    }
    sort(a.begin(),a.end());
    int root = -1;
    for(int i = 0 ; i < n ; ++i){
        if(gondolaSeq[i] <= n){
            root = i;
            break;
        }
    }
    int cnt = 0;
    for(int i = (root == -1 ? 1 : gondolaSeq[root]) , j = (root == -1 ? 0 : root) , cnt1 = n ; cnt1-- ; j = (j + 1) % n , i = i % n + 1){
        if(gondolaSeq[j] != i){
            cnt++;
        }
    }
    int res = (root == -1 ? n : 1);
    for(int j = 1 ; j < a.size() ; j++){
        res = (ll)res * Pow(cnt--,a[j].first - a[j - 1].first - 1) % mod;
    }
    return res;
}

Compilation message

gondola.cpp: In function 'int replacement(int, int*, int*)':
gondola.cpp:61:29: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int j = n + 1 ; now < a.size() ; ++j){
                         ~~~~^~~~~~~~~~
gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:109:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for(int j = 1 ; j < a.size() ; j++){
                     ~~^~~~~~~~~~

Subtask #1
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 384 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 384 KB Output is correct

Subtask #2
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 2 ms 256 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 13 ms 2176 KB Output is correct
7 Correct 11 ms 768 KB Output is correct
8 Correct 24 ms 3968 KB Output is correct
9 Correct 8 ms 1408 KB Output is correct
10 Correct 30 ms 4608 KB Output is correct

Subtask #3
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 1 ms 256 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 13 ms 2176 KB Output is correct
7 Correct 11 ms 640 KB Output is correct
8 Correct 24 ms 3968 KB Output is correct
9 Correct 8 ms 1536 KB Output is correct
10 Correct 30 ms 4608 KB Output is correct
11 Correct 2 ms 256 KB Output is correct
12 Correct 2 ms 256 KB Output is correct
13 Correct 18 ms 2176 KB Output is correct
14 Correct 2 ms 256 KB Output is correct
15 Correct 49 ms 4728 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1408 KB Output is correct
2 Correct 2 ms 1280 KB Output is correct
3 Correct 3 ms 1280 KB Output is correct
4 Correct 2 ms 1280 KB Output is correct
5 Correct 2 ms 1280 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1280 KB Output is correct
2 Correct 3 ms 1280 KB Output is correct
3 Correct 3 ms 1280 KB Output is correct
4 Correct 3 ms 1380 KB Output is correct
5 Correct 3 ms 1280 KB Output is correct
6 Correct 3 ms 1280 KB Output is correct
7 Correct 3 ms 1408 KB Output is correct
8 Correct 3 ms 1408 KB Output is correct
9 Correct 3 ms 1408 KB Output is correct
10 Correct 3 ms 1408 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1280 KB Output is correct
2 Correct 2 ms 1280 KB Output is correct
3 Correct 2 ms 1408 KB Output is correct
4 Correct 3 ms 1408 KB Output is correct
5 Correct 2 ms 1280 KB Output is correct
6 Correct 3 ms 1280 KB Output is correct
7 Correct 3 ms 1408 KB Output is correct
8 Correct 3 ms 1408 KB Output is correct
9 Correct 3 ms 1408 KB Output is correct
10 Correct 2 ms 1408 KB Output is correct
11 Correct 30 ms 4352 KB Output is correct
12 Correct 33 ms 4856 KB Output is correct
13 Correct 113 ms 2200 KB Output is correct
14 Correct 30 ms 4216 KB Output is correct
15 Correct 51 ms 2400 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 384 KB Output is correct

Subtask #8
15.0 / 15.0

# 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 4 ms 256 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 2 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 384 KB Output is correct

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 256 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 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 384 KB Output is correct
9 Correct 50 ms 4088 KB Output is correct
10 Correct 40 ms 3456 KB Output is correct
11 Correct 13 ms 1408 KB Output is correct
12 Correct 17 ms 1792 KB Output is correct
13 Correct 5 ms 640 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 256 KB Output is correct
2 Correct 2 ms 384 KB Output is correct
3 Correct 2 ms 256 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 256 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 49 ms 4088 KB Output is correct
10 Correct 35 ms 3456 KB Output is correct
11 Correct 14 ms 1536 KB Output is correct
12 Correct 17 ms 1792 KB Output is correct
13 Correct 5 ms 640 KB Output is correct
14 Correct 62 ms 4600 KB Output is correct
15 Correct 77 ms 6052 KB Output is correct
16 Correct 12 ms 1408 KB Output is correct
17 Correct 43 ms 4216 KB Output is correct
18 Correct 37 ms 2552 KB Output is correct