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Submission #936489

# Submission time Handle Problem Language Result Execution time Memory
936489 2024-03-02T01:06:09 Z peterandvoi Gondola (IOI14_gondola) C++17
100 / 100
 39 ms 7000 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[]) {
    set<int> pos;
    for (int i = 0; i < n; ++i) {
        if (pos.find(inputSeq[i]) != pos.end()) {
            return 0;
        }
        pos.insert(inputSeq[i]);
    }
    int cnt = n;
    for (int i = 0; i < n; ++i) {
        if (inputSeq[i] <= n) {
            cnt--;
            pos.erase(inputSeq[i]);
        }
    }
    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) {
        if (inputSeq[i] <= n && inputSeq[i] != shift(i + 1, delta, n)) {
            return 0;
        }
        inputSeq[i] = shift(i + 1, delta, n);
    }
    if (cnt == n) {
        res = 1LL * res * n % MOD;
    }
    int p = n;
    for (int j : pos) {
        res = 1LL * res * bin_pow(cnt, j - 1 - p) % MOD;
        p = j;
        cnt--;
    }
    return res;
}

Subtask #1
5.0 / 5.0

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

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 1 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 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

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 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 3 ms 2652 KB Output is correct
7 Correct 6 ms 2904 KB Output is correct
8 Correct 6 ms 2592 KB Output is correct
9 Correct 2 ms 2396 KB Output is correct
10 Correct 6 ms 2764 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 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 6 ms 2652 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 2648 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 0 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 2436 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 2648 KB Output is correct
7 Correct 1 ms 2904 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 20 ms 6492 KB Output is correct
12 Correct 23 ms 7000 KB Output is correct
13 Correct 19 ms 4696 KB Output is correct
14 Correct 20 ms 6492 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 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 432 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 28 ms 4172 KB Output is correct
10 Correct 23 ms 3420 KB Output is correct
11 Correct 8 ms 1372 KB Output is correct
12 Correct 10 ms 1628 KB Output is correct
13 Correct 2 ms 604 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 34 ms 4076 KB Output is correct
10 Correct 23 ms 3416 KB Output is correct
11 Correct 8 ms 1372 KB Output is correct
12 Correct 10 ms 1764 KB Output is correct
13 Correct 2 ms 604 KB Output is correct
14 Correct 34 ms 5460 KB Output is correct
15 Correct 39 ms 5980 KB Output is correct
16 Correct 6 ms 1488 KB Output is correct
17 Correct 28 ms 4152 KB Output is correct
18 Correct 14 ms 2396 KB Output is correct