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Submission #106276

# Submission time Handle Problem Language Result Execution time Memory
106276 2019-04-17T18:21:45 Z popovicirobert Gondola (IOI14_gondola) C++14
75 / 100
 84 ms 10200 KB 
#include "gondola.h"
#include <bits/stdc++.h>

using namespace std;

const int MOD = (int) 1e9 + 9;
const int INF = (int) 1e9;

int valid(int n, int inputSeq[]) {
    int id = 0, pos;
    map <int, bool> mp;

    for(int i = 0; i < n; i++) {
        if(mp[inputSeq[i]] == 1) {
            return 0;
        }
        mp[inputSeq[i]] = 1;
        if(inputSeq[i] <= n) {
            id = inputSeq[i];
            pos = i;
        }
    }

    if(id != 0) {
        int cur = id;
        int i = pos;
        do {
            if(inputSeq[i] <= n && inputSeq[i] != cur) {
                return 0;
            }
            cur++;
            if(cur == n + 1) {
                cur = 1;
            }
            i = (i + 1) % n;
        }while(i != pos);
    }

    return 1;
}

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

int replacement(int n, int gondolaSeq[], int replacementSeq[]) {
    vector <int> positions;
    for(int i = 0; i < n; i++) {
        if(gondolaSeq[i] > n) {
            positions.push_back(i);
        }
    }

    sort(positions.begin(), positions.end(), [&](const int &a, const int &b) {

            return gondolaSeq[a] < gondolaSeq[b];

         });

    map <int, int> mp;
    int id = 0, pos, mx = 0;
    for(int i = 0; i < n; i++) {
        mp[gondolaSeq[i]] = i + 1;
        mx = max(mx, gondolaSeq[i]);
        if(gondolaSeq[i] <= n) {
            id = gondolaSeq[i];
            pos = i;
        }
    }

    vector <int> ord(n);
    iota(ord.begin(), ord.end(), 1);
    if(id != 0) {
        int i = pos;
        do {
            ord[i] = id;
            id++;
            if(id == n + 1) {
                id = 1;
            }
            i = (i + 1) % n;
        }while(i != pos);
    }

    pos = 0;
    int sz = 0;
    for(int i = n + 1; i <= mx; i++) {
        replacementSeq[sz++] = ord[positions[pos]];
        ord[positions[pos]] = i;
        if(mp[i] > 0) {
            pos++;
        }
    }

    return sz;
}

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

inline int lgput(int a, int b) {
    int ans = 1;
    while(b > 0) {
        if(b & 1)
            ans = (1LL * ans * a) % MOD;
        b >>= 1;
        a = (1LL * a * a) % MOD;
    }
    return ans;
}

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

    vector <int> vals;
    int cnt = 0;

    for(int i = 0; i < n; i++) {
        if(inputSeq[i] > n) {
            cnt++;
            vals.push_back(inputSeq[i]);
        }
    }

    sort(vals.begin(), vals.end());

    int ans = 1, last = n;

    for(auto it : vals) {
        ans = (1LL * ans * lgput(cnt, it - last - 1)) % MOD;
        last = it;
        cnt--;
    }

    return ans;
}

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 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 3 ms 384 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 304 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 23 ms 2248 KB Output is correct
7 Correct 14 ms 640 KB Output is correct
8 Correct 33 ms 3968 KB Output is correct
9 Correct 11 ms 1536 KB Output is correct
10 Correct 43 ms 4568 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 304 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 16 ms 2304 KB Output is correct
7 Correct 13 ms 768 KB Output is correct
8 Correct 34 ms 3940 KB Output is correct
9 Correct 11 ms 1536 KB Output is correct
10 Correct 48 ms 4600 KB Output is correct
11 Correct 2 ms 256 KB Output is correct
12 Correct 2 ms 256 KB Output is correct
13 Correct 23 ms 2040 KB Output is correct
14 Correct 2 ms 256 KB Output is correct
15 Correct 65 ms 4856 KB Output is correct

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

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 3 ms 300 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 3 ms 384 KB Output is correct
7 Correct 2 ms 384 KB Output is correct
8 Correct 3 ms 512 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 3 ms 640 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 640 KB Output is correct
9 Correct 3 ms 512 KB Output is correct
10 Correct 3 ms 640 KB Output is correct
11 Correct 32 ms 4736 KB Output is correct
12 Correct 36 ms 5240 KB Output is correct
13 Correct 41 ms 4720 KB Output is correct
14 Correct 36 ms 4696 KB Output is correct
15 Correct 61 ms 10200 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 356 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 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 316 KB Output is correct
3 Correct 2 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 3 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
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 384 KB Output is correct
2 Correct 3 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 356 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 3 ms 256 KB Output is correct
8 Correct 2 ms 256 KB Output is correct
9 Correct 69 ms 4088 KB Output is correct
10 Correct 50 ms 3448 KB Output is correct
11 Correct 17 ms 1408 KB Output is correct
12 Correct 21 ms 1664 KB Output is correct
13 Incorrect 5 ms 640 KB Output isn't correct

Subtask #10
0 / 10.0

# 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 3 ms 384 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 3 ms 384 KB Output is correct
6 Correct 4 ms 256 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 384 KB Output is correct
9 Correct 84 ms 4088 KB Output is correct
10 Correct 48 ms 3448 KB Output is correct
11 Correct 16 ms 1408 KB Output is correct
12 Correct 23 ms 1792 KB Output is correct
13 Incorrect 5 ms 640 KB Output isn't correct
14 Halted 0 ms 0 KB -