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Submission #936349

# Submission time Handle Problem Language Result Execution time Memory
936349 2024-03-01T16:36:32 Z peterandvoi Gondola (IOI14_gondola) C++17
75 / 100
 22 ms 7212 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 bin_pow(int a, int b) {
    int res = 1;
    for (; b; b >>= 1, a = 1LL * a * a % MOD) {
        if (b & 1) {
            res = 1LL * res * a % MOD;
        }
    }
    return res;
}

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);
    }
    for (int i = n + 1; i < N; ++i) {
        if (!cnt) {
            break;
        }
        if (pos[i] != -1) {
            cnt--;
        } else {
            res = 1LL * res * cnt % MOD;
        }
    }
    if (cnt == n) {
        res = bin_pow(n, res);
    }
    return res;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 0 ms 2392 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 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 2396 KB Output is correct
3 Correct 0 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 3 ms 2396 KB Output is correct
7 Correct 7 ms 2652 KB Output is correct
8 Correct 5 ms 2652 KB Output is correct
9 Correct 2 ms 2396 KB Output is correct
10 Correct 6 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 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 4 ms 2396 KB Output is correct
7 Correct 7 ms 2652 KB Output is correct
8 Correct 6 ms 2652 KB Output is correct
9 Correct 2 ms 2396 KB Output is correct
10 Correct 6 ms 2652 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 3 ms 2396 KB Output is correct
14 Correct 0 ms 2396 KB Output is correct
15 Correct 7 ms 2756 KB Output is correct

Subtask #4
5.0 / 5.0

# 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 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct

Subtask #5
10.0 / 10.0

# 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 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

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 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
9 Correct 1 ms 2648 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 19 ms 6556 KB Output is correct
12 Correct 22 ms 7212 KB Output is correct
13 Correct 19 ms 4700 KB Output is correct
14 Correct 19 ms 6488 KB Output is correct
15 Correct 20 ms 4956 KB Output is correct

Subtask #7
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

Subtask #8
15.0 / 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 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 0 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 2652 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 0 ms 2652 KB Output is correct
9 Correct 7 ms 2904 KB Output is correct
10 Correct 6 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 2652 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 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 7 ms 2908 KB Output is correct
10 Correct 7 ms 2904 KB Output is correct
11 Correct 3 ms 2652 KB Output is correct
12 Correct 4 ms 2652 KB Output is correct
13 Incorrect 2 ms 2700 KB Output isn't correct
14 Halted 0 ms 0 KB -