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Submission #995424

# Submission time Handle Problem Language Result Execution time Memory
995424 2024-06-09T04:08:34 Z thinknoexit Gondola (IOI14_gondola) C++17
100 / 100
 47 ms 6616 KB 
#include "gondola.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const ll MOD = 1e9 + 9;
map<int, bool> ch;
int p[100100];
int valid(int n, int a[]) {
    int mn = n + 1;
    int idx = 0;
    for (int i = 0;i < n;i++) {
        if (ch.count(a[i])) return 0;
        ch[a[i]] = 1;
        if (a[i] <= n) {
            if (a[i] < mn) {
                mn = a[i];
                idx = i;
            }
        }
    }
    if (mn == n + 1) return 1;
    idx = (idx - mn + 1 + n) % n;
    for (int i = 0;i < n;i++) {
        if (a[(i + idx) % n] <= n && a[(i + idx) % n] != i + 1) return 0;
    }
    return 1;
}

int replacement(int n, int a[], int replacementSeq[]) {
    int mn = n + 1;
    int idx = 0;
    vector<pair<int, int>> v;
    for (int i = 0;i < n;i++) {
        if (a[i] <= n) {
            if (a[i] < mn) {
                mn = a[i];
                idx = i;
            }
        }
        else v.push_back({ a[i], i });
    }
    idx = (idx - mn + 1 + n) % n;
    for (int i = 0;i < n;i++) {
        p[(i + idx) % n] = i + 1;
    }
    int sz = 0, now = n;
    sort(v.begin(), v.end());
    for (auto& x : v) {
        while (p[x.second] != x.first) {
            replacementSeq[sz++] = p[x.second];
            p[x.second] = ++now;
        }
    }
    return sz;
}
ll mop(ll a, ll p) {
    ll ans = 1;
    for (;p != 0ll;p >>= 1ll, a = a * a % MOD) {
        if (p & 1ll) ans = ans * a % MOD;
    }
    return ans;
}
int countReplacement(int n, int a[]) {
    if (!valid(n, a)) return 0;
    int cnt = 0;
    int mx = 0;
    vector<int> v;
    for (int i = 0;i < n;i++) {
        if (a[i] > n) v.push_back(a[i]), cnt++;
        mx = max(mx, a[i]);
    }
    if (mx <= n) return 1;
    sort(v.begin(), v.end());
    int m = v.size();
    bool c = (cnt == n);
    ll ans = 1;
    int prev = n;
    for (auto& x : v) {
        ans = ans * mop(cnt, x - prev - 1) % MOD;
        cnt--;
        prev = x;
    }
    if (!c) return ans;
    return ans * n % MOD;
}

Compilation message

gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:74:9: warning: unused variable 'm' [-Wunused-variable]
   74 |     int m = v.size();
      |         ^

Subtask #1
5.0 / 5.0

# 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

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 10 ms 2140 KB Output is correct
7 Correct 6 ms 604 KB Output is correct
8 Correct 18 ms 3932 KB Output is correct
9 Correct 5 ms 1372 KB Output is correct
10 Correct 22 ms 4444 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 9 ms 2140 KB Output is correct
7 Correct 6 ms 604 KB Output is correct
8 Correct 17 ms 4080 KB Output is correct
9 Correct 7 ms 1372 KB Output is correct
10 Correct 21 ms 4628 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 14 ms 2060 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 29 ms 4844 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 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

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 7 ms 860 KB Output is correct
12 Correct 6 ms 1116 KB Output is correct
13 Correct 9 ms 1516 KB Output is correct
14 Correct 5 ms 860 KB Output is correct
15 Correct 13 ms 2384 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 344 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 344 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 344 KB Output is correct
2 Correct 1 ms 344 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 31 ms 4472 KB Output is correct
10 Correct 24 ms 3812 KB Output is correct
11 Correct 9 ms 1628 KB Output is correct
12 Correct 12 ms 1908 KB Output is correct
13 Correct 3 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 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 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 33 ms 4468 KB Output is correct
10 Correct 24 ms 3924 KB Output is correct
11 Correct 9 ms 1628 KB Output is correct
12 Correct 12 ms 1884 KB Output is correct
13 Correct 2 ms 604 KB Output is correct
14 Correct 38 ms 5156 KB Output is correct
15 Correct 47 ms 6616 KB Output is correct
16 Correct 7 ms 1628 KB Output is correct
17 Correct 31 ms 4664 KB Output is correct
18 Correct 15 ms 2904 KB Output is correct