Submission #788853

#	Time	Username	Problem	Language	Result	Execution time	Memory
788853		acatmeowmeow	곤돌라 (IOI14_gondola)	C++11	75 / 100	31 ms	4668 KiB

gondola

#include "gondola.h"
#include <bits/stdc++.h>

using namespace std;

int valid(int n, int inputSeq[]) {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	set<int> st;
	for (int i = 0; i < n; i++) {
		if (st.count(inputSeq[i])) return 0;
		st.insert(inputSeq[i]);
	}
	int lowest = 1e9, pos = 1e9;
	for (int i = 0; i < n; i++) {
		if (lowest > inputSeq[i]) {
		   	lowest = inputSeq[i], pos = i;
		}
	}
	if (lowest > n) return 1;
	for (int i = pos, cnt = lowest, len = 1; len <= n; i = (i + 1) % n, len++, cnt = cnt % n + 1) {
		if (inputSeq[i] > n) continue;
		if (cnt != inputSeq[i]) return 0;
	}
	return 1;
}

//----------------------

int replacement(int n, int gondolaSeq[], int replacementSeq[]) {

	if (*max_element(gondolaSeq, gondolaSeq + n) == n) return 0;

	int lowest = 1e9, pos = 1e9;
	for (int i = 0; i < n; i++) {
		if (gondolaSeq[i] < lowest) {
			lowest = gondolaSeq[i];
			pos = i;
		}
	}
	
	vector<pair<int, int>> arr;
	if (lowest > n) {
		for (int i = 0; i < n; i++) arr.push_back({gondolaSeq[i], i + 1});
		sort(arr.begin(), arr.end());
	} else {
		for (int i = pos, len = 1, cnt = lowest; len <= n; i = (i + 1) % n, len++, cnt = cnt % n + 1) {
			if (gondolaSeq[i] <= n) continue;
			arr.push_back({gondolaSeq[i], cnt});
		}	
		sort(arr.begin(), arr.end());
	}
	int index = 0, cur = n + 1;
	for (auto&x : arr) {
		int v = x.first, pos = x.second;
		replacementSeq[index++] = pos;
		for (int i = cur; i < v; i++) replacementSeq[index++] = i;
		cur = v + 1;
	}
	return index;
}

//----------------------

long long binpow(int n, int k) {
	const long long modulo = 1e9 + 9;
	if (!k) return 1;
	else {
		long long ans = binpow(n, k/2);
		ans *= ans, ans %= modulo;
		if (k & 1) ans *= (long long)n, ans %= modulo;
		return ans;
	}
}	

int countReplacement(int n, int inputSeq[]) {
	if (!valid(n, inputSeq)) return 0;
	if (*max_element(inputSeq, inputSeq + n) == n) return 1;
	vector<int> arr = {n};
	for (int i = 0; i < n; i++) {
		if (inputSeq[i] <= n) continue;
		arr.push_back(inputSeq[i]);
	}
	sort(arr.begin(), arr.end());
	const long long modulo = 1e9 + 9;
	long long ans = 1;
	for (int i = 1; i < arr.size(); i++) ans *= binpow(arr.size() - i, arr[i] - arr[i - 1] - 1), ans %= modulo;
	
	if (*min_element(inputSeq, inputSeq + n) > n) {
		for (int i = 1; i <= n; i++) {
			ans *= (long long)i, ans %= modulo;
		}
	}

	return (int)ans;
}


/*int gondolaSequence[100001];
int replacementSequence[250001];

signed main()
{
  int i, n, tag;
  int nr;
  //assert(scanf("%d", &tag)==1);
  //assert(scanf("%d", &n)==1);
  cin >> tag >> n;
  for(i=0;i< n;i++) cin >> gondolaSequence[i];
    //assert( scanf("%d", &gondolaSequence[i]) ==1);

  switch (tag){
  case 1: case 2: case 3:
    printf("%d\n", valid(n, gondolaSequence));
    break;

  case 4: case 5: case 6:
    nr = replacement(n, gondolaSequence, replacementSequence);
    printf("%d ", nr);
    if (nr > 0)
      {
	for (i=0; i<nr-1; i++)
	  printf("%d ", replacementSequence[i]);
	printf("%d\n", replacementSequence[nr-1]);
      }
    else printf("\n");
    break;

  case 7: case 8: case 9: case 10:
    printf("%d\n",  countReplacement(n, gondolaSequence));
    break;
  }

  return 0;
}*/

Compilation message (stderr)

gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:87:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   87 |  for (int i = 1; i < arr.size(); i++) ans *= binpow(arr.size() - i, arr[i] - arr[i - 1] - 1), ans %= modulo;
      |                  ~~^~~~~~~~~~~~

• Subtask 1: 5 / 5
• Subtask 2: 5 / 5
• Subtask 3: 10 / 10
• Subtask 4: 5 / 5
• Subtask 5: 10 / 10
• Subtask 6: 20 / 20
• Subtask 7: 5 / 5
• Subtask 8: 15 / 15
• Subtask 9: 0 / 15
• Subtask 10: 0 / 10