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Submission #1064994

# Submission time Handle Problem Language Result Execution time Memory
1064994 2024-08-18T21:12:24 Z kkzyr Gondola (IOI14_gondola) C++17
60 / 100
 31 ms 6884 KB 
#include <iostream>
#include <algorithm>
#include <map>
#include <gondola.h>
using namespace std;

const int mod = 1e9 + 7;

int input[100000];

map<int, bool> has;

int original[100001];
int index[250001];

int use_for_replacement[100000];

long long binary_exponentiation(int a, int b){
    if (b == 0){
        return 1;
    }
    long long cache = binary_exponentiation(a, b/2);
    long long ans = cache * cache;
    ans %= mod;
    if (b % 2 == 1){
        ans *= a;
        ans %= mod;
    }
    return ans;
}

int valid(int n, int inputSeq[]){
    for (int i = 0;i < n;i++){
        if (has[inputSeq[i]]){
            return 0;
        }
        has[inputSeq[i]] = true;
    }
    int first_original = -1;
    for (int i = 0;i < n;i++){
        if (inputSeq[i] <= n){
            first_original = i;
            break;
        }
    }
    if (first_original == -1){
        return 1;
    }
    for (int i = 0;i < n;i++){
        if (inputSeq[i] <= n){
            int diff1 = i - first_original;
            int diff2 = inputSeq[i] - inputSeq[first_original];
            if (diff2 < 0){
                diff2 += n;
            }
            if (diff1 != diff2){
                return 0;
            }
        }
    }
    return 1;
}

int replacement(int n, int gondolaSeq[], int replacementSeq[]){
    int has_index = -1;
    int max_num = -1;
    for (int i = 0;i < n;i++){
        if (gondolaSeq[i] <= n){
            has_index = i;
        }
        max_num = max(max_num, gondolaSeq[i]);
        index[gondolaSeq[i]] = i;
    }
    if (has_index == -1){
        for (int i = 0;i < n;i++){
            original[i] = i + 1;
        }
    }
    else{
        int first = gondolaSeq[has_index] - has_index;
        if (first < 0){
            first += n;
        }
        for (int i = 0;i < n;i++){
            original[i] = (first + i) % n;
            if (original[i] == 0){
                original[i] = n;
            }
        }
    }
    int length = 0;
    for (int i = n + 1;i <= max_num;i++){
        if (index[i] != 0 or gondolaSeq[0] == i){
            replacementSeq[length] = original[index[i]];
            length++;
            original[index[i]] = i;
        }
        else{
            replacementSeq[length] = original[index[max_num]];
            length++;
            original[index[max_num]] = i;
        }
    }
    return length;
}

int countReplacement(int n, int inputSeq[]){
    if (valid(n, inputSeq) == 0){
        return 0;
    }
    sort(inputSeq, inputSeq + n);
    long long ans = 1;
    if (inputSeq[0] > n){
        ans = n;
        for (int i = 0; i < n - 1; i++) {
            ans *= binary_exponentiation(n - 1 - i, inputSeq[i + 1] - inputSeq[i] - 1);
            ans %= mod;
        }
        ans *= binary_exponentiation(n, inputSeq[0] - n - 1);
        ans %= mod;
    }
    else{
        for (int i = 0; i < n - 1; i++) {
            if (inputSeq[i + 1] > n) {
                ans *= binary_exponentiation(n - 1 - i, inputSeq[i + 1] - max(inputSeq[i], n) - 1);
                ans %= mod;
            }
        }
    }
    return ans;
}

Subtask #1
5.0 / 5.0

# 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 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 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 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 11 ms 4276 KB Output is correct
7 Correct 5 ms 2652 KB Output is correct
8 Correct 17 ms 5980 KB Output is correct
9 Correct 5 ms 3420 KB Output is correct
10 Correct 21 ms 6596 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 348 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 10 ms 4180 KB Output is correct
7 Correct 6 ms 2652 KB Output is correct
8 Correct 17 ms 5904 KB Output is correct
9 Correct 5 ms 3420 KB Output is correct
10 Correct 21 ms 6492 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct
13 Correct 13 ms 2140 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 31 ms 6884 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2396 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 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 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 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2408 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2464 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 5 ms 2652 KB Output is correct
12 Correct 6 ms 2648 KB Output is correct
13 Correct 9 ms 3164 KB Output is correct
14 Correct 6 ms 2900 KB Output is correct
15 Correct 12 ms 4232 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct

Subtask #8
0 / 15.0

# 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 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 1 ms 2404 KB Output is correct
7 Incorrect 0 ms 2396 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #9
0 / 15.0

# 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 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 1 ms 2396 KB Output is correct
7 Incorrect 1 ms 2396 KB Output isn't correct
8 Halted 0 ms 0 KB -

Subtask #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 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 1 ms 2396 KB Output is correct
7 Incorrect 0 ms 348 KB Output isn't correct
8 Halted 0 ms 0 KB -