Submission #102413

#TimeUsernameProblemLanguageResultExecution timeMemory
102413naoaiGondola (IOI14_gondola)C++14
100 / 100
39 ms2580 KiB
#include "gondola.h"
#include <bits/stdc++.h>

using namespace std;

int valid(int n, int inputSeq[]) {
    vector<int> v(2 * n);
    for (int i = 0; i < 2 * n; ++ i)
        v[i] = inputSeq[i % n];

    sort(inputSeq, inputSeq + n);
    for (int i = 1; i < n; ++ i) {
        if (inputSeq[i] == inputSeq[i - 1])
            return 0;
    }

    if (inputSeq[0] > n)
        return 1;

    int ind = 0;
    while (ind < n && v[ind] != inputSeq[0])
        ++ ind;
    for (int i = 0; i < n; ++ i) {
        if (v[ind + i] <= n && v[ind + i] != inputSeq[0] + i)
            return 0;
    }
    return 1;
}

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

int replacement(int n, int gondolaSeq[], int replacementSeq[])
{
    int mn = 0;
    for (int i = 0; i < n; ++ i) {
        if (gondolaSeq[i] < gondolaSeq[mn])
            mn = i;
    }

    vector<pair<int, int>> ord;
    vector<int> v(2 * n);
    v.resize(2 * n);
    for (int i = 0; i < 2 * n; ++ i)
        v[i] = gondolaSeq[i % n];

    if (gondolaSeq[mn] > n) {
        for (int i = 0; i < n; ++ i)
            ord.push_back({v[i], i + 1});
    } else {
        int pst = mn - v[mn] + 1;
        if (pst < 0) pst += n;
        for (int i = pst; i < pst + n; ++ i) {
            if (v[i] > n) {
                ord.push_back({v[i], (i - pst + 1)});
                assert(ord.back().second <= n);
            }
        }
    }

    int l = 0;
    ord.push_back({n, -1});
    sort(ord.begin(), ord.end());
    for (int i = 1; i < (int)ord.size(); ++ i) {
        int val = ord[i].second;
        for (int j = ord[i - 1].first + 1; j <= ord[i].first; ++ j) {
            replacementSeq[l ++] = val;
            val = j;
        }
    }
    return l;
}

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

static const int mod = 1e9 + 9;

long long lgput (long long b, int p) {
    long long sol = 1;
    while (p > 0) {
        if (p & 1)
            sol = sol * b % mod;
        b = b * b % mod;
        p >>= 1;
    }
    return sol;
}

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

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

    ord.push_back(n);
    sort(ord.begin(), ord.end());

    long long ans = 1;
    for (int i = 1; i < (int)ord.size(); ++ i) {
        int cnt = ord[i] - 1 - ord[i - 1];
        ans = ans * lgput((int)ord.size() - i, cnt) % mod;
    }

    if (ord.size() == n + 1) {
        ans = ans * n % mod;
    }

    return ans;
}

Compilation message (stderr)

gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:109:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     if (ord.size() == n + 1) {
         ~~~~~~~~~~~^~~~~~~~
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