#include <iostream>
#include <algorithm>
#include <gondola.h>
using namespace std;
int valid(int n, int inputSeq[]);
int replacement(int n, int gondolaSeq[], int replacementSeq[]);
int countReplacement(int n, int inputSeq[]);
const int mod = 1e9 + 7;
int input[100000];
bool has[100001];
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;
}
# |
결과 |
실행 시간 |
메모리 |
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 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
440 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 |
3 ms |
604 KB |
Output is correct |
7 |
Correct |
6 ms |
1372 KB |
Output is correct |
8 |
Correct |
5 ms |
1116 KB |
Output is correct |
9 |
Correct |
2 ms |
580 KB |
Output is correct |
10 |
Correct |
6 ms |
1116 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
3 ms |
604 KB |
Output is correct |
7 |
Correct |
8 ms |
1248 KB |
Output is correct |
8 |
Correct |
6 ms |
1276 KB |
Output is correct |
9 |
Correct |
2 ms |
604 KB |
Output is correct |
10 |
Correct |
6 ms |
1176 KB |
Output is correct |
11 |
Correct |
0 ms |
448 KB |
Output is correct |
12 |
Correct |
0 ms |
444 KB |
Output is correct |
13 |
Correct |
3 ms |
860 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
6 ms |
1372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 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 |
# |
결과 |
실행 시간 |
메모리 |
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 |
448 KB |
Output is correct |
5 |
Correct |
0 ms |
440 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 |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
2392 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
604 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 |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
6 ms |
3204 KB |
Output is correct |
12 |
Correct |
12 ms |
1880 KB |
Output is correct |
13 |
Correct |
7 ms |
1884 KB |
Output is correct |
14 |
Correct |
6 ms |
1628 KB |
Output is correct |
15 |
Correct |
13 ms |
2904 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
448 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
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 |
436 KB |
Output is correct |
5 |
Correct |
0 ms |
444 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
600 KB |
Output is correct |
7 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |