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Submission #218871

# Submission time Handle Problem Language Result Execution time Memory
218871 2020-04-02T23:24:43 Z Kenzo_1114 Gondola (IOI14_gondola) C++17
100 / 100
 77 ms 7668 KB 
#include "gondola.h"
#include<bits/stdc++.h>
using namespace std;
const int MAXN = 300010;
const long long int MOD = 1e9 + 9;

int correct[MAXN], pos[MAXN];
bool all = false;
map<int, bool> marc;

void calc(int n, int seq[])
{
	int id = -1;
	for(int i = 0; i < n; i++)
		if(seq[i] <= n)
		{	id = i; break;	}

	if(id != -1)	correct[id] = seq[id];
	else	id = 0,	correct[id] = 1, all = true;

	for(int i = id + 1; i < n; i++)
	{	
		correct[i] = correct[i - 1] + 1;
		if(correct[i] > n)	correct[i] = 1;
	}

	for(int i = id - 1; i >= 0; i--)
	{
		correct[i] = correct[i + 1] - 1;
		if(correct[i] < 1)	correct[i] = n;
	}
}

int valid(int n, int seq[])
{
	calc(n, seq);

	int ans = 1;

	for(int i = 0; i < n; i++)
	{
		if(seq[i] <= n && correct[i] != seq[i])	ans = 0;
		if(seq[i] > n && marc[seq[i]])	ans = 0;
		marc[seq[i]] = true;
	}

	return ans;
}

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

	for(int i = 0; i < MAXN; i++)	pos[i] = -1;

	int mx = n;
	for(int i = 0; i < n; i++)
		if(gondolaSeq[i] > n)
			pos[gondolaSeq[i]] = i, mx = max(mx, gondolaSeq[i]);

	for(int i = mx - 1; i > n; i--)
		if(pos[i] == -1)	
			pos[i] = pos[i + 1];

	int l = 0;	
	for(int i = n + 1; i <= mx; i++)
	{
		replacementSeq[l] = correct[pos[i]];
		correct[pos[i]] = i;
		l++;
	}

	return l;
}

long long int fe(long long int num, long long int exp)
{
	if(exp == 0)	return 1;
	if(exp == 1)	return num;

	long long int aux = fe(num, exp / 2);
	aux *= aux, aux %= MOD;

	if(exp % 2)	return (aux * num) % MOD;
	return aux % MOD;
}

vector<long long int> v;

int countReplacement(int n, int inputSeq[])
{
	if(!valid(n, inputSeq))	return 0;	

	for(int i = 0; i < n; i++)
		if(inputSeq[i] > n)
			v.push_back(inputSeq[i]);

	sort(v.begin(), v.end());

	long long int ans = 1;
	long long int sz = v.size(), last = n;
	for(int i = 0; i < v.size(); i++)
	{
//		printf("num = %lld  exp = %lld\n", sz, v[i] - 1- last);
		ans *= fe(sz, v[i] - 1 - last);
		ans %= MOD;
		last = v[i];
		sz--;
	}	

	if(all)	ans *= n, ans %= MOD, all = false;
	v.clear();

	return ans;
}

/*
int N, SEQ[MAXN];

int main ()
{
	scanf("%d", &N);

	for(int i = 0; i < N; i++)	scanf("%d", &SEQ[i]);

	printf("valid = %d\n", valid(N, SEQ));

	printf("cont = %lld\n", countReplacement(N, SEQ));
}
*/

Compilation message

gondola.cpp: In function 'int countReplacement(int, int*)':
gondola.cpp:102:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i = 0; i < v.size(); i++)
                 ~~^~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 16 ms 2432 KB Output is correct
7 Correct 34 ms 4088 KB Output is correct
8 Correct 26 ms 4224 KB Output is correct
9 Correct 11 ms 1536 KB Output is correct
10 Correct 30 ms 4864 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 15 ms 2432 KB Output is correct
7 Correct 38 ms 4088 KB Output is correct
8 Correct 29 ms 4224 KB Output is correct
9 Correct 11 ms 1536 KB Output is correct
10 Correct 30 ms 4864 KB Output is correct
11 Correct 4 ms 384 KB Output is correct
12 Correct 5 ms 384 KB Output is correct
13 Correct 23 ms 2304 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 45 ms 4984 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1536 KB Output is correct
2 Correct 5 ms 1536 KB Output is correct
3 Correct 5 ms 1536 KB Output is correct
4 Correct 5 ms 1536 KB Output is correct
5 Correct 5 ms 1536 KB Output is correct

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1536 KB Output is correct
2 Correct 5 ms 1536 KB Output is correct
3 Correct 5 ms 1536 KB Output is correct
4 Correct 5 ms 1536 KB Output is correct
5 Correct 9 ms 1536 KB Output is correct
6 Correct 5 ms 1536 KB Output is correct
7 Correct 6 ms 1536 KB Output is correct
8 Correct 5 ms 1536 KB Output is correct
9 Correct 6 ms 1536 KB Output is correct
10 Correct 5 ms 1536 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1536 KB Output is correct
2 Correct 5 ms 1536 KB Output is correct
3 Correct 5 ms 1536 KB Output is correct
4 Correct 5 ms 1536 KB Output is correct
5 Correct 6 ms 1536 KB Output is correct
6 Correct 5 ms 1536 KB Output is correct
7 Correct 5 ms 1536 KB Output is correct
8 Correct 5 ms 1536 KB Output is correct
9 Correct 6 ms 1536 KB Output is correct
10 Correct 6 ms 1536 KB Output is correct
11 Correct 15 ms 2176 KB Output is correct
12 Correct 16 ms 2176 KB Output is correct
13 Correct 18 ms 2432 KB Output is correct
14 Correct 15 ms 2048 KB Output is correct
15 Correct 25 ms 3448 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct

Subtask #8
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 4 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct

Subtask #9
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 4 ms 384 KB Output is correct
9 Correct 49 ms 4980 KB Output is correct
10 Correct 40 ms 4344 KB Output is correct
11 Correct 17 ms 1920 KB Output is correct
12 Correct 20 ms 2048 KB Output is correct
13 Correct 8 ms 768 KB Output is correct

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB Output is correct
2 Correct 4 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 4 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 6 ms 384 KB Output is correct
9 Correct 49 ms 4980 KB Output is correct
10 Correct 39 ms 4344 KB Output is correct
11 Correct 17 ms 1920 KB Output is correct
12 Correct 21 ms 2304 KB Output is correct
13 Correct 8 ms 768 KB Output is correct
14 Correct 63 ms 6132 KB Output is correct
15 Correct 77 ms 7668 KB Output is correct
16 Correct 15 ms 1920 KB Output is correct
17 Correct 47 ms 5116 KB Output is correct
18 Correct 27 ms 3328 KB Output is correct