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Submission #128334

# Submission time Handle Problem Language Result Execution time Memory
128334 2019-07-10T18:07:42 Z dolphingarlic Gondola (IOI14_gondola) C++14
75 / 100
 26 ms 2400 KB 
#include "gondola.h"
#include <bits/stdc++.h>
#pragma GCC Optimize("O3")
#define FOR(i, x, y) for (int i = x; i < y; i++)
#define MOD 1000000009
typedef long long ll;
using namespace std;

int valid(int n, int inputSeq[]) {
    vector<int> gondolas;
    FOR(i, 0, n) gondolas.push_back(inputSeq[i]);
    sort(gondolas.begin(), gondolas.end());
    FOR(i, 1, n) if (gondolas[i] == gondolas[i - 1]) return 0;

    FOR(i, 0, n) {
        if (inputSeq[i] <= n) {
            FOR(j, 1, n + 1) {
                int k = (i + j - inputSeq[i]) % n;
                while (k < 0) k += n;
                if (inputSeq[k] <= n && inputSeq[k] != j) return 0;
            }
            return 1;
        }
    }
    return 1;
}

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

int replacement(int n, int gondolaSeq[], int replacementSeq[]) {
    vector<pair<int, int>> broken;
    int offset = 0;
    FOR(i, 0, n) {
        if (gondolaSeq[i] > n)
            broken.push_back({gondolaSeq[i], i + 1});
        else
            offset = i - gondolaSeq[i] + 1;
    }
    FOR(i, 0, broken.size()) {
        broken[i].second = (broken[i].second - offset - 1 + n) % n + 1;
    }

    int indx = 0, curr = n;
    sort(broken.begin(), broken.end());
    for (pair<int, int> i : broken) {
        replacementSeq[indx++] = i.second;
        curr++;
        FOR(j, curr, i.first)
        replacementSeq[indx++] = j;
        curr = i.first;
    }

    return indx;
}

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

ll expo(ll x, ll y) {
    ll res = 1;
    x = x % MOD;
    while (y > 0) {
        if (y & 1) res = (res * x) % MOD;
        y = y >> 1;
        x = (x * x) % MOD;
    }
    return res;
}

int countReplacement(int n, int inputSeq[]) {
    if (!valid(n, inputSeq)) return 0;
    // If there are k replaced cars {a, b}, {c, d}, ...
    // Then ans is k^(d - b) * (k - 1)^(f - d) + ...
    vector<ll> broken;
    broken.push_back(0);
    FOR(i, 0, n) {
        if (inputSeq[i] > n)
            broken.push_back((ll) (inputSeq[i] - n));
    }
    sort(broken.begin(), broken.end());
    ll ans = 1;
    FOR(i, 1, broken.size()) {
        ans = (ans * expo(broken.size() - i, broken[i] - broken[i - 1] - 1)) % MOD;
    }
    return ans;
}

Compilation message

gondola.cpp:3:0: warning: ignoring #pragma GCC Optimize [-Wunknown-pragmas]
 #pragma GCC Optimize("O3")
 
gondola.cpp: In function 'int replacement(int, int*, int*)':
gondola.cpp:4:40: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
 #define FOR(i, x, y) for (int i = x; i < y; i++)
gondola.cpp:39:9:
     FOR(i, 0, broken.size()) {
         ~~~~~~~~~~~~~~~~~~~             
gondola.cpp:39:5: note: in expansion of macro 'FOR'
     FOR(i, 0, broken.size()) {
     ^~~
gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:4:40: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
 #define FOR(i, x, y) for (int i = x; i < y; i++)
gondola.cpp:81:9:
     FOR(i, 1, broken.size()) {
         ~~~~~~~~~~~~~~~~~~~             
gondola.cpp:81:5: note: in expansion of macro 'FOR'
     FOR(i, 1, broken.size()) {
     ^~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 4 ms 376 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 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 376 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 376 KB Output is correct
6 Correct 11 ms 1144 KB Output is correct
7 Correct 21 ms 1908 KB Output is correct
8 Correct 15 ms 1688 KB Output is correct
9 Correct 7 ms 760 KB Output is correct
10 Correct 21 ms 1780 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 376 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 256 KB Output is correct
6 Correct 10 ms 1144 KB Output is correct
7 Correct 20 ms 1908 KB Output is correct
8 Correct 15 ms 1652 KB Output is correct
9 Correct 7 ms 888 KB Output is correct
10 Correct 20 ms 1780 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 12 ms 1144 KB Output is correct
14 Correct 2 ms 256 KB Output is correct
15 Correct 22 ms 1908 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 2 ms 376 KB Output is correct
4 Correct 2 ms 376 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 376 KB Output is correct
2 Correct 2 ms 376 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 376 KB Output is correct
6 Correct 2 ms 376 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 3 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 3 ms 376 KB Output is correct

Subtask #6
20.0 / 20.0

# 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 376 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 256 KB Output is correct
7 Correct 2 ms 380 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 380 KB Output is correct
10 Correct 3 ms 380 KB Output is correct
11 Correct 12 ms 1016 KB Output is correct
12 Correct 13 ms 1144 KB Output is correct
13 Correct 17 ms 1532 KB Output is correct
14 Correct 12 ms 1016 KB Output is correct
15 Correct 24 ms 2400 KB Output is correct

Subtask #7
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 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 420 KB Output is correct
3 Correct 2 ms 252 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 3 ms 256 KB Output is correct
8 Correct 2 ms 380 KB Output is correct

Subtask #9
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 404 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 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
9 Correct 26 ms 2116 KB Output is correct
10 Correct 21 ms 1768 KB Output is correct
11 Correct 10 ms 916 KB Output is correct
12 Correct 11 ms 1024 KB Output is correct
13 Incorrect 4 ms 504 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 376 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 376 KB Output is correct
6 Correct 2 ms 256 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 26 ms 2116 KB Output is correct
10 Correct 22 ms 1656 KB Output is correct
11 Correct 10 ms 916 KB Output is correct
12 Correct 11 ms 1024 KB Output is correct
13 Incorrect 5 ms 504 KB Output isn't correct
14 Halted 0 ms 0 KB -