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Submission #936322

# Submission time Handle Problem Language Result Execution time Memory
936322 2024-03-01T15:19:38 Z peterandvoi Gondola (IOI14_gondola) C++17
75 / 100
 25 ms 7148 KB 
#include <bits/stdc++.h>

#include "gondola.h"

using namespace std;

#ifdef ngu
#include "debug.h"
#else
#define debug(...) 42
#endif

const int N = 250005;

int cnt[N];

int shift(int i, int j, int n) {
    i += j;
    if (i < 1) {
        i += n;
    }
    if (i > n) {
        i -= n;
    }
    return i;
}

int valid(int n, int inputSeq[]) {
    memset(cnt, 0, sizeof(cnt));
    for (int i = 0; i < n; ++i) {
        assert(inputSeq[i] < N);
        if (cnt[inputSeq[i]]) {
            return 0;
        }
        cnt[inputSeq[i]]++;
    }
    int delta = 0;
    for (int i = 0; i < n; ++i) {
        if (inputSeq[i] <= n) {
            int j = inputSeq[i];
            delta = j - i - 1;
            break;
        }
    }
    for (int i = 0; i < n; ++i) {
        if (inputSeq[i] <= n) {
            int j = shift(i + 1, delta, n);
            if (j != inputSeq[i]) {
                return 0;
            }
        }
    }
    return 1;
}

int pos[N];

int replacement(int n, int gondolaSeq[], int replacementSeq[]) {
    memset(pos, -1, sizeof(pos));
    for (int i = 0; i < n; ++i) {
        pos[gondolaSeq[i]] = i;
    }
    set<int> cur;
    for (int i = 0; i < n; ++i) {
        cur.insert(i);
    }
    for (int i = 0; i < n; ++i) {
        if (gondolaSeq[i] <= n) {
            cur.erase(i);
        }
    }
    int delta = 0;
    for (int i = 0; i < n; ++i) {
        if (gondolaSeq[i] <= n) {
            int j = gondolaSeq[i];
            delta = j - i - 1;
            break;
        }
    }
    for (int i = 0; i < n; ++i) {
        gondolaSeq[i] = shift(i + 1, delta, n);
    }
    int m = -1;
    for (int i = n + 1; i < N; ++i) {
        if (!cur.size()) {
            break;
        }
        int j = *cur.begin();
        if (pos[i] != -1) {
            j = pos[i];
            cur.erase(j);
        }
        replacementSeq[++m] = gondolaSeq[j];
        gondolaSeq[j] = i;
    }
    return m + 1;
}

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

int countReplacement(int n, int inputSeq[]) {
    if (valid(n, inputSeq) == 0) {
        return 0;
    }
    memset(pos, -1, sizeof(pos));
    for (int i = 0; i < n; ++i) {
        pos[inputSeq[i]] = i;
    }
    int cnt = n;
    for (int i = 0; i < n; ++i) {
        if (inputSeq[i] <= n) {
            cnt--;
        }
    }
    int res = 1;
    int delta = 0;
    for (int i = 0; i < n; ++i) {
        if (inputSeq[i] <= n) {
            int j = inputSeq[i];
            delta = j - i - 1;
            break;
        }
    }
    for (int i = 0; i < n; ++i) {
        inputSeq[i] = shift(i + 1, delta, n);
    }
    assert(n != 2);
    if (n == 2 && cnt < 2) {
        return 1;
    }
    for (int i = n + 1; i < N; ++i) {
        if (!cnt) {
            break;
        }
        if (pos[i] != -1) {
            cnt--;
        } else {
            res = 1LL * res * cnt % MOD;
        }
    }
    if (n == 2) {
        res = 1LL * res * 2 % MOD;
    }
    return res;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 4 ms 2396 KB Output is correct
7 Correct 8 ms 2652 KB Output is correct
8 Correct 7 ms 2652 KB Output is correct
9 Correct 2 ms 2396 KB Output is correct
10 Correct 10 ms 2652 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 6 ms 2396 KB Output is correct
7 Correct 7 ms 2648 KB Output is correct
8 Correct 6 ms 2652 KB Output is correct
9 Correct 2 ms 2396 KB Output is correct
10 Correct 7 ms 2756 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 3 ms 2392 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 8 ms 2796 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2904 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2648 KB Output is correct
5 Correct 1 ms 2648 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2852 KB Output is correct
2 Correct 1 ms 2648 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2648 KB Output is correct
7 Correct 1 ms 2648 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2648 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 21 ms 6488 KB Output is correct
12 Correct 25 ms 7148 KB Output is correct
13 Correct 19 ms 4700 KB Output is correct
14 Correct 23 ms 6492 KB Output is correct
15 Correct 23 ms 4864 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct

Subtask #9
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2648 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 8 ms 2908 KB Output is correct
10 Correct 7 ms 2908 KB Output is correct
11 Correct 3 ms 2652 KB Output is correct
12 Correct 3 ms 2652 KB Output is correct
13 Incorrect 2 ms 2652 KB Output isn't correct
14 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2648 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2648 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 8 ms 2868 KB Output is correct
10 Correct 6 ms 2808 KB Output is correct
11 Correct 4 ms 2648 KB Output is correct
12 Correct 4 ms 2652 KB Output is correct
13 Incorrect 2 ms 2648 KB Output isn't correct
14 Halted 0 ms 0 KB -