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Submission #560565

# Submission time Handle Problem Language Result Execution time Memory
560565 2022-05-11T17:13:27 Z blue Naan (JOI19_naan) C++17
29 / 100
 117 ms 64016 KB 
#include <iostream>
#include <vector>
#include <cassert>
using namespace std;
 
using ll = long long;
using vll = vector<ll>;
using vvll = vector<vll>;
using vi = vector<int>;
 
const ll mx = 2'000;
 
int N, L;
 
struct frac
{
	ll n;
	ll d;
};
 
bool operator < (frac A, frac B)
{
	return A.n*B.d < B.n*A.d;
}
 
bool operator == (frac A, frac B)
{
	return A.n*B.d == B.n*A.d;
}
 
bool operator > (frac A, frac B)
{
	return B < A;
}
 
bool operator <= (frac A, frac B)
{
	return A.n*B.d <= B.n*A.d;
}
 
frac operator + (frac A, frac B)
{
	return {A.n*B.d + B.n*A.d, A.d*B.d};
}
 
frac operator - (frac A, frac B)
{
	return {A.n*B.d - B.n*A.d, A.d*B.d};
}
 
frac operator / (frac A, frac B)
{
	return {A.n*B.d, B.n*A.d};
}
 
vvll V(1+mx, vll(1+mx, 0));
 
frac getVpref(int p, frac i)
{
	if(i.n == i.d * L)
		return {V[p][L], 1};
	// return V[p][i.n/i.d] + (V[i.n/i.d + 1] - V[i.n/i.d]) * ((i.n % i.d) / i.d);
 
	return frac{V[p][i.n/i.d]*i.d + (V[p][i.n/i.d + 1] - V[p][i.n/i.d]) * (i.n % i.d), i.d};
}
 
int main()
{
	cin >> N >> L;
 
	for(int i = 1; i <= N; i++)
	{
		for(int j = 1; j <= L; j++)
		{
			cin >> V[i][j];
			V[i][j] += V[i][j-1];
		}
	}
 
	vi visit(1+N, 0);
 
	vector<frac> X;
	vector<int> P;
 
	X.push_back({0, 1});
 
	vector<frac> curr(1+N, frac{0, 1});
 
	int xct = 0;
 

	assert(N <= 6);

	for(int t = 1; t < N; t++)
	{
		// cerr << "\n\n";
		// cerr << "t = " << t << '\n';
		int bestp = -1;
		for(int i = 1; i <= N; i++)
		{
			if(visit[i]) continue;
 
			while(getVpref(i, curr[i]) < getVpref(i, X.back()) + frac{V[i][L], N})
			{
				xct++;
				// if(xct >= 50'000'000)
				// 	assert(0);
				if(curr[i].d == 1)
				{
					if(curr[i].n < L && frac{V[i][curr[i].n + 1], 1} <= getVpref(i, X.back()) + frac{V[i][L], N})
						curr[i].n++;
					else
					{
						frac thisfrac = (getVpref(i, X.back()) + frac{V[i][L], N} - getVpref(i, curr[i])) / frac{V[i][curr[i].n + 1] - V[i][curr[i].n], 1};
						curr[i] = curr[i] + thisfrac;
						break;
					}
				}
				else
				{
					curr[i] = frac{min(curr[i].n / curr[i].d + 1, ll(L)), 1};
					if(getVpref(i, curr[i]) > getVpref(i, X.back()) + frac{V[i][L], N})
						curr[i] = curr[i] - (getVpref(i, curr[i]) - (getVpref(i, X.back()) + frac{V[i][L], N})) / frac{V[i][curr[i].n]  - V[i][curr[i].n - 1], 1};
				}
			}
 
			if(bestp == -1 || curr[bestp] > curr[i])
				bestp = i;
			// cerr << i << " : " << curr[i].n << ' ' << curr[i].d << '\n';
		}
 
		visit[bestp] = 1;
		P.push_back(bestp);
		X.push_back(curr[bestp]);
	}
 
	for(int i = 1; i <= N; i++)
		if(!visit[i])
			P.push_back(i);
 
 
	for(int i = 1; i <= N-1; i++)
		cout << X[i].n << ' ' << X[i].d << '\n';
	for(int p : P)
		cout << p << ' ';
	cout << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 31700 KB Output is correct
2 Correct 15 ms 31592 KB Output is correct
3 Correct 17 ms 31700 KB Output is correct
4 Correct 19 ms 31700 KB Output is correct
5 Correct 19 ms 31700 KB Output is correct
6 Correct 19 ms 31668 KB Output is correct
7 Correct 14 ms 31700 KB Output is correct
8 Correct 15 ms 31680 KB Output is correct
9 Correct 15 ms 31636 KB Output is correct
10 Correct 15 ms 31700 KB Output is correct
11 Correct 17 ms 31700 KB Output is correct
12 Correct 17 ms 31700 KB Output is correct
13 Correct 17 ms 31636 KB Output is correct
14 Correct 16 ms 31600 KB Output is correct
15 Correct 16 ms 31700 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 31664 KB Output is correct
2 Correct 15 ms 31656 KB Output is correct
3 Correct 15 ms 31700 KB Output is correct
4 Correct 15 ms 31700 KB Output is correct
5 Correct 15 ms 31624 KB Output is correct
6 Correct 14 ms 31660 KB Output is correct
7 Correct 16 ms 31712 KB Output is correct
8 Correct 18 ms 31700 KB Output is correct
9 Correct 19 ms 31700 KB Output is correct
10 Correct 17 ms 31656 KB Output is correct
11 Correct 15 ms 31700 KB Output is correct
12 Correct 14 ms 31700 KB Output is correct
13 Correct 17 ms 31688 KB Output is correct
14 Correct 16 ms 31644 KB Output is correct
15 Correct 16 ms 31640 KB Output is correct
16 Correct 16 ms 31684 KB Output is correct
17 Correct 16 ms 31700 KB Output is correct
18 Correct 18 ms 31716 KB Output is correct
19 Correct 17 ms 31672 KB Output is correct
20 Correct 16 ms 31692 KB Output is correct
21 Correct 17 ms 31712 KB Output is correct
22 Correct 16 ms 31664 KB Output is correct
23 Correct 14 ms 31616 KB Output is correct
24 Correct 16 ms 31712 KB Output is correct
25 Correct 15 ms 31716 KB Output is correct
26 Correct 15 ms 31676 KB Output is correct
27 Correct 17 ms 31700 KB Output is correct

Subtask #3
0 / 71.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 31700 KB Output is correct
2 Correct 15 ms 31592 KB Output is correct
3 Correct 17 ms 31700 KB Output is correct
4 Correct 19 ms 31700 KB Output is correct
5 Correct 19 ms 31700 KB Output is correct
6 Correct 19 ms 31668 KB Output is correct
7 Correct 14 ms 31700 KB Output is correct
8 Correct 15 ms 31680 KB Output is correct
9 Correct 15 ms 31636 KB Output is correct
10 Correct 15 ms 31700 KB Output is correct
11 Correct 17 ms 31700 KB Output is correct
12 Correct 17 ms 31700 KB Output is correct
13 Correct 17 ms 31636 KB Output is correct
14 Correct 16 ms 31600 KB Output is correct
15 Correct 16 ms 31700 KB Output is correct
16 Correct 15 ms 31664 KB Output is correct
17 Correct 15 ms 31656 KB Output is correct
18 Correct 15 ms 31700 KB Output is correct
19 Correct 15 ms 31700 KB Output is correct
20 Correct 15 ms 31624 KB Output is correct
21 Correct 14 ms 31660 KB Output is correct
22 Correct 16 ms 31712 KB Output is correct
23 Correct 18 ms 31700 KB Output is correct
24 Correct 19 ms 31700 KB Output is correct
25 Correct 17 ms 31656 KB Output is correct
26 Correct 15 ms 31700 KB Output is correct
27 Correct 14 ms 31700 KB Output is correct
28 Correct 17 ms 31688 KB Output is correct
29 Correct 16 ms 31644 KB Output is correct
30 Correct 16 ms 31640 KB Output is correct
31 Correct 16 ms 31684 KB Output is correct
32 Correct 16 ms 31700 KB Output is correct
33 Correct 18 ms 31716 KB Output is correct
34 Correct 17 ms 31672 KB Output is correct
35 Correct 16 ms 31692 KB Output is correct
36 Correct 17 ms 31712 KB Output is correct
37 Correct 16 ms 31664 KB Output is correct
38 Correct 14 ms 31616 KB Output is correct
39 Correct 16 ms 31712 KB Output is correct
40 Correct 15 ms 31716 KB Output is correct
41 Correct 15 ms 31676 KB Output is correct
42 Correct 17 ms 31700 KB Output is correct
43 Runtime error 117 ms 64016 KB Execution killed with signal 6
44 Halted 0 ms 0 KB -