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Submission #1108685

# Submission time Handle Problem Language Result Execution time Memory
1108685 2024-11-04T19:02:14 Z Ariadna Gondola (IOI14_gondola) C++14
55 / 100
 17 ms 5216 KB 
#include <bits/stdc++.h>
#include "gondola.h"
#define ll long long
using namespace std;

int valid(int n, int inputSeq[]) {
    unordered_map<int, int> cnt;
    for (int i = 0; i < n; ++i) cnt[inputSeq[i]]++;
    if ((int)cnt.size() < n) return 0;
    
    for (int i = 1; inputSeq[0]+i <= n; ++i) {
        if (inputSeq[i] <= n && inputSeq[i] != inputSeq[0]+i) return 0;
    }
    
    for (int i = 1; inputSeq[0]-i > 0; ++i) {
        if (inputSeq[n-i] <= n && inputSeq[n-i] != inputSeq[0]-i) return 0;
    }
    return 1;
}
 
int replacement(int n, int gondolaSeq[], int replacementSeq[]) {
    vector<int> gondola(n);
    int idx = -1;
    for (int i = 0; i < n; ++i) {
        if (gondolaSeq[i] <= n) {
            gondola[i] = gondolaSeq[i];
            idx = i;
            break;
        }
    }
    if (idx == -1) {
        for (int i = 0; i < n; ++i) gondola[i] = i+1;
    } else {
        for (int i = 1; gondola[idx]+i <= n; ++i) {
            gondola[(idx+i)%n] = gondola[idx]+i;
        }
        for (int i = 1; gondola[idx]-i > 0; ++i) {
            gondola[(idx-i+n)%n] = gondola[idx]-i;
        }
    }
    
    vector<pair<int, int>> replacements;
    replacements.reserve(n);
    for (int i = 0; i < n; ++i) {
        if (gondolaSeq[i] != gondola[i]) replacements.push_back({gondolaSeq[i], gondola[i]});
    }
 
    sort(replacements.begin(), replacements.end());
    int l = 0, new_gondola = n+1;
    for (pair<int, int> p: replacements) {
        while (p.first > new_gondola) {
            replacementSeq[l] = p.second;
            p.second = new_gondola;
            ++new_gondola; ++l;
        } 
        replacementSeq[l] = p.second;
        ++new_gondola;
        ++l;
    }
    return l;
}

const int mod = 1e9+9;

ll mpow(ll b, ll p) {
    if (p == 0) return 1;
    ll a = mpow(b, p/2)%mod;
    if (p&1) return (((a*a)%mod)*b)%mod;
    return (a*a)%mod;
}
 
int countReplacement(int n, int inputSeq[]) {
    if (!valid(n, inputSeq)) return 0;
    vector<int> g(n);
    for (int i = 0; i < n; ++i) {
        g[i] = inputSeq[i];
    }
    sort(g.begin(), g.end());
    ll ans = 1, prev = n;
    bool def_order = false;
    for (int i = 0; i < n; ++i) {
        if (g[i] <= n) {
            def_order = true;
            continue;
        }

        ans *= mpow(n-i, g[i]-prev-1);
        ans %= mod;
        prev = g[i];
    }
    if (!def_order) ans *= (long long)n;
    return ans%mod;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 512 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 5 ms 1964 KB Output is correct
7 Correct 14 ms 3424 KB Output is correct
8 Correct 12 ms 3424 KB Output is correct
9 Correct 4 ms 1616 KB Output is correct
10 Correct 12 ms 3936 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 5 ms 1964 KB Output is correct
7 Correct 13 ms 3424 KB Output is correct
8 Correct 10 ms 3424 KB Output is correct
9 Correct 4 ms 1784 KB Output is correct
10 Correct 11 ms 3936 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 6 ms 1964 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 17 ms 5216 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 0 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 0 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 6 ms 848 KB Output is correct
12 Correct 8 ms 1104 KB Output is correct
13 Correct 10 ms 1208 KB Output is correct
14 Correct 7 ms 848 KB Output is correct
15 Correct 14 ms 2252 KB Output is correct

Subtask #7
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Incorrect 1 ms 336 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #8
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Incorrect 1 ms 336 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #9
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Incorrect 1 ms 336 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Incorrect 1 ms 336 KB Output isn't correct
3 Halted 0 ms 0 KB -