oj.uz

Submission #555887

# Submission time Handle Problem Language Result Execution time Memory
555887 2022-05-01T18:39:25 Z blue Pipes (BOI13_pipes) C++17
74.0741 / 100
 62 ms 11660 KB 
#include <iostream>
#include <vector>
#include <queue>
using namespace std;

using ll = long long;
using vi = vector<int>;
using pii = pair<int, int>;
using vpii = vector<pii>;
using vll = vector<ll>;
#define sz(x) int(x.size())

const int mx = 100'000;

int N, M;
vpii edge[1+mx];
vll c(1+mx);


vll x(1+mx);

void dfs(int u, int p)
{
	for(pii vp : edge[u])
	{
		int v = vp.first;
		int e = vp.second;

		if(v == p) continue;
		dfs(v, u);

		x[e] = 2*c[v];

		c[u] -= c[v];
		c[v] = 0;
	}
}

int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);

	int N, M;
	cin >> N >> M;

	if(M > N)
	{
		cout << "0\n";
		return 0;
	}

	for(int i = 1; i <= N; i++) cin >> c[i];

	for(int j = 1; j <= M; j++)
	{
		int u, v;
		cin >> u >> v;
		edge[u].push_back({v, j});
		edge[v].push_back({u, j});
	}

	if(M == N-1)
	{
		dfs(1, 0);
	}
	else
	{
		queue<int> tbv;
		vi visit(1+N, 0);

		vi deg(1+N);
		for(int i = 1; i <= N; i++)
		{
			deg[i] = sz(edge[i]);
			if(deg[i] == 1)
			{
				tbv.push(i);
				visit[i] = 1;
			}
		}

		// cerr << "A\n";


		while(!tbv.empty())
		{
			int u = tbv.front();
			tbv.pop();

			for(auto vp : edge[u])
			{
				int v = vp.first;
				int e = vp.second;

				if(visit[v]) continue;

				deg[v]--;

				x[e] = 2*c[v];
				c[v] -= c[u];
				c[u] = 0;

				if(deg[v] == 1)
				{
					tbv.push(v);
					visit[v] = 1;
				}
			}
		}

		// cerr << "B\n";

		int U = 1;
		while(visit[U])
			U++;

		int viscount = 0;
		for(int u = 1; u <= N; u++)
			viscount += visit[u];

		vi edgevis(1+N, 0);

		// cerr << "C\n";


		vi nodes, edges;
		for(int z = 1; z <= N - viscount; z++)
		{
			for(auto vp : edge[U])
			{
				int v = vp.first;
				int e = vp.second;

				if(visit[v]) continue;
				if(edgevis[e]) continue;

				edgevis[e] = 1;


				nodes.push_back(U);
				edges.push_back(e);

				U = v;

				break;
			}
		}
		// cerr << "D\n";

		int Z = N - viscount;

		// cerr << "Z = " << Z << '\n';

		// for(int z = 0; z < Z; z++) cerr << nodes[z] << ' ' << edges[z] << '\n';

		if(Z % 2 == 0)
		{
			cout << "0\n";
			return 0;
		}

		vll a(Z), b(Z);
		a[0] = 1;
		b[0] = 0;



		for(int i = 1; i < Z; i++)
		{
			if(!(1 <= nodes[i] && nodes[i] <= N)) while(1);
			a[i] = -a[i-1];
			b[i] = c[nodes[i]] - b[i-1]; 
		}

		return 0;

		//(a.back() + a[0]) * x  +  (b.back() + b[0]) == c[nodes[0]]
		//x = (c[nodes[0]] - (b.back() + b[0])) / (a.back() + a[0])

		if(a.back() + a[0] == 0) while(1);

		for(int i = 0; i < Z; i++)
		{
			x[edges[i]] = 2*((a[i] * (c[nodes[0]] - (b.back() + b[0]))) / (a.back() + a[0]) + b[i]);

			// cerr << i << " : " << nodes[i] << " : " << a[i] << ' ' << b[i] << "\n";
		}
	}

	for(int e = 1; e <= M; e++) 
		cout << x[e] << '\n';
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4180 KB Output is correct
2 Correct 3 ms 4180 KB Output is correct
3 Correct 3 ms 4180 KB Output is correct
4 Correct 48 ms 8384 KB Output is correct
5 Correct 2 ms 4180 KB Output is correct
6 Correct 2 ms 4180 KB Output is correct
7 Correct 2 ms 4180 KB Output is correct
8 Correct 2 ms 4180 KB Output is correct
9 Correct 3 ms 4180 KB Output is correct
10 Correct 3 ms 4180 KB Output is correct
11 Correct 4 ms 4296 KB Output is correct
12 Correct 2 ms 4308 KB Output is correct
13 Correct 42 ms 7488 KB Output is correct
14 Correct 51 ms 8108 KB Output is correct
15 Correct 60 ms 8316 KB Output is correct
16 Correct 43 ms 7756 KB Output is correct
17 Correct 53 ms 8296 KB Output is correct
18 Correct 48 ms 8452 KB Output is correct
19 Correct 60 ms 11660 KB Output is correct
20 Correct 2 ms 4180 KB Output is correct
21 Correct 2 ms 4248 KB Output is correct
22 Correct 51 ms 8352 KB Output is correct
23 Correct 36 ms 7528 KB Output is correct
24 Correct 47 ms 8396 KB Output is correct
25 Correct 45 ms 7712 KB Output is correct

Subtask #2
44.0740740741 / 70.0

# Verdict Execution time Memory Grader output
1 Incorrect 3 ms 4180 KB Output isn't correct
2 Incorrect 3 ms 4308 KB Output isn't correct
3 Correct 50 ms 9216 KB Output is correct
4 Correct 2 ms 4180 KB Output is correct
5 Correct 2 ms 4180 KB Output is correct
6 Correct 2 ms 4180 KB Output is correct
7 Incorrect 2 ms 4180 KB Output isn't correct
8 Incorrect 2 ms 4180 KB Output isn't correct
9 Correct 2 ms 4180 KB Output is correct
10 Correct 3 ms 4180 KB Output is correct
11 Correct 2 ms 4180 KB Output is correct
12 Correct 2 ms 4232 KB Output is correct
13 Correct 2 ms 4180 KB Output is correct
14 Incorrect 2 ms 4180 KB Output isn't correct
15 Incorrect 3 ms 4308 KB Output isn't correct
16 Incorrect 3 ms 4308 KB Output isn't correct
17 Correct 4 ms 4308 KB Output is correct
18 Correct 3 ms 4128 KB Output is correct
19 Correct 2 ms 4180 KB Output is correct
20 Correct 2 ms 4180 KB Output is correct
21 Correct 2 ms 4180 KB Output is correct
22 Incorrect 3 ms 4308 KB Output isn't correct
23 Incorrect 39 ms 9468 KB Output isn't correct
24 Incorrect 49 ms 10164 KB Output isn't correct
25 Correct 44 ms 9256 KB Output is correct
26 Correct 2 ms 4180 KB Output is correct
27 Correct 2 ms 4180 KB Output is correct
28 Correct 2 ms 4180 KB Output is correct
29 Correct 2 ms 4180 KB Output is correct
30 Incorrect 45 ms 9632 KB Output isn't correct
31 Incorrect 62 ms 10740 KB Output isn't correct
32 Incorrect 52 ms 9680 KB Output isn't correct
33 Correct 45 ms 9364 KB Output is correct
34 Correct 2 ms 4180 KB Output is correct
35 Correct 2 ms 4180 KB Output is correct
36 Correct 2 ms 4180 KB Output is correct
37 Correct 2 ms 4180 KB Output is correct
38 Incorrect 47 ms 10008 KB Output isn't correct
39 Incorrect 53 ms 9372 KB Output isn't correct
40 Incorrect 55 ms 10252 KB Output isn't correct
41 Correct 47 ms 9544 KB Output is correct
42 Correct 2 ms 4180 KB Output is correct
43 Correct 2 ms 4180 KB Output is correct
44 Correct 2 ms 4180 KB Output is correct
45 Correct 2 ms 4180 KB Output is correct
46 Incorrect 53 ms 9644 KB Output isn't correct
47 Incorrect 57 ms 10244 KB Output isn't correct
48 Incorrect 61 ms 10752 KB Output isn't correct
49 Correct 47 ms 9044 KB Output is correct
50 Correct 3 ms 4308 KB Output is correct
51 Correct 2 ms 4180 KB Output is correct
52 Correct 2 ms 4180 KB Output is correct
53 Correct 2 ms 4180 KB Output is correct
54 Incorrect 49 ms 9620 KB Output isn't correct