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Submission #159958

# Submission time Handle Problem Language Result Execution time Memory
159958 2019-10-25T14:39:37 Z rama_pang Gondola (IOI14_gondola) C++14
100 / 100
 78 ms 6520 KB 
#include "gondola.h"
#include <bits/stdc++.h>
using namespace std;


int valid(int n, int inputSeq[]) {
    deque<int> gondola(n);
    for (int i = 0; i < n; i++) gondola[i] = inputSeq[i];

    int pivot = -1;
    for (int i = 0; i < n; i++) if (gondola[i] <= n) pivot = gondola[i];
    pivot--;
    for (int i = 0; i < n + n && pivot >= 0; i++) {
        if (gondola[pivot] == pivot + 1) break;
        gondola.push_back(gondola.front());
        gondola.pop_front();
    }

    for (int i = 0; i < n; i++) if (gondola[i] != i + 1 && gondola[i] <= n) return 0;
    map<int, int> cnt;
    for (int i = 0; i < n; i++) cnt[gondola[i]]++;
    for (auto i : cnt) if (i.second > 1) return 0;
    return 1;
}


int replacement(int n, int gondolaSeq[], int replacementSeq[]) {
    deque<int> gondola(n);
    for (int i = 0; i < n; i++) gondola[i] = gondolaSeq[i];

    int pivot = -1;
    for (int i = 0; i < n; i++) if (gondola[i] <= n) pivot = gondola[i];
    pivot--;
    for (int i = 0; i < n + n && pivot >= 0; i++) {
        if (gondola[pivot] == pivot + 1) break;
        gondola.push_back(gondola.front());
        gondola.pop_front();
    }

    vector<pair<int, int>> replace;
    vector<int> ans;

    for (int i = 0; i < n; i++) if (gondola[i] > n) replace.emplace_back(gondola[i], i + 1);

    sort(replace.begin(), replace.end());
    int cur = n + 1;
    for (int i = 0; i < replace.size(); i++) {
        ans.push_back(replace[i].second);
        for (int j = cur; j < replace[i].first; j++) ans.push_back(j);
        cur = replace[i].first + 1;
    }

    for (int i = 0; i < ans.size(); i++) replacementSeq[i] = ans[i];

    return ans.size();
}

using lint = long long;
const lint MOD = 1e9 + 9;

lint pw(lint n, lint x) {
    if (x == 0) return 1;
    if (x == 1) return n;

    lint res = pw(n, x / 2);
    res %= MOD;
    res *= res;
    res %= MOD;
    if (x & 1) res *= n;
    res %= MOD;
    return res;
}

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

    deque<lint> gondola(n);
    for (int i = 0; i < n; i++) gondola[i] = inputSeq[i];

    vector<lint> replace;
    for (int i = 0; i < n; i++) if (gondola[i] > n) replace.emplace_back(gondola[i]);
    sort(replace.begin(), replace.end());

    lint active = replace.size();
    lint cur = n + 1;
    lint res = 1;
    if (active == n) res = n;
    for (int i = 0; i < replace.size(); i++) {
        assert(cur <= replace[i]);
        res *= pw(active - i, replace[i] - cur);
        cur = replace[i] + 1;
        res %= MOD;
    }
    
    return (int)res;
}

Compilation message

gondola.cpp: In function 'int replacement(int, int*, int*)':
gondola.cpp:47:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < replace.size(); i++) {
                     ~~^~~~~~~~~~~~~~~~
gondola.cpp:53:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < ans.size(); i++) replacementSeq[i] = ans[i];
                     ~~^~~~~~~~~~~~
gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:88:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (int i = 0; i < replace.size(); i++) {
                     ~~^~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 8 ms 380 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 376 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 248 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 17 ms 2424 KB Output is correct
7 Correct 14 ms 1020 KB Output is correct
8 Correct 31 ms 4348 KB Output is correct
9 Correct 10 ms 1528 KB Output is correct
10 Correct 43 ms 4988 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 17 ms 2396 KB Output is correct
7 Correct 14 ms 1016 KB Output is correct
8 Correct 32 ms 4216 KB Output is correct
9 Correct 18 ms 1528 KB Output is correct
10 Correct 39 ms 4856 KB Output is correct
11 Correct 2 ms 256 KB Output is correct
12 Correct 2 ms 256 KB Output is correct
13 Correct 8 ms 632 KB Output is correct
14 Correct 2 ms 256 KB Output is correct
15 Correct 15 ms 1016 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 1 ms 380 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 376 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 2 ms 380 KB Output is correct
3 Correct 2 ms 376 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 3 ms 504 KB Output is correct
9 Correct 3 ms 376 KB Output is correct
10 Correct 2 ms 504 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 376 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 376 KB Output is correct
6 Correct 2 ms 296 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 504 KB Output is correct
11 Correct 12 ms 888 KB Output is correct
12 Correct 14 ms 1016 KB Output is correct
13 Correct 19 ms 1528 KB Output is correct
14 Correct 14 ms 888 KB Output is correct
15 Correct 25 ms 2368 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 376 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 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 256 KB Output is correct

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 252 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 380 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 3 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 57 ms 4344 KB Output is correct
10 Correct 44 ms 3704 KB Output is correct
11 Correct 19 ms 1528 KB Output is correct
12 Correct 21 ms 1784 KB Output is correct
13 Correct 6 ms 760 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 252 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 256 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 256 KB Output is correct
8 Correct 2 ms 252 KB Output is correct
9 Correct 54 ms 4344 KB Output is correct
10 Correct 42 ms 3704 KB Output is correct
11 Correct 17 ms 1528 KB Output is correct
12 Correct 21 ms 1784 KB Output is correct
13 Correct 6 ms 632 KB Output is correct
14 Correct 71 ms 5752 KB Output is correct
15 Correct 78 ms 6520 KB Output is correct
16 Correct 14 ms 1528 KB Output is correct
17 Correct 50 ms 4472 KB Output is correct
18 Correct 28 ms 2680 KB Output is correct