oj.uz

Submission #555892

# Submission time Handle Problem Language Result Execution time Memory
555892 2022-05-01T18:40:51 Z blue Pipes (BOI13_pipes) C++17
74.0741 / 100
 67 ms 11796 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]] = ((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 4256 KB Output is correct
2 Correct 2 ms 4180 KB Output is correct
3 Correct 3 ms 4180 KB Output is correct
4 Correct 51 ms 8400 KB Output is correct
5 Correct 3 ms 4252 KB Output is correct
6 Correct 3 ms 4308 KB Output is correct
7 Correct 2 ms 4248 KB Output is correct
8 Correct 3 ms 4180 KB Output is correct
9 Correct 3 ms 4180 KB Output is correct
10 Correct 3 ms 4256 KB Output is correct
11 Correct 3 ms 4264 KB Output is correct
12 Correct 3 ms 4308 KB Output is correct
13 Correct 44 ms 7568 KB Output is correct
14 Correct 59 ms 8248 KB Output is correct
15 Correct 49 ms 8524 KB Output is correct
16 Correct 41 ms 7784 KB Output is correct
17 Correct 64 ms 8468 KB Output is correct
18 Correct 57 ms 8468 KB Output is correct
19 Correct 54 ms 11796 KB Output is correct
20 Correct 2 ms 4180 KB Output is correct
21 Correct 3 ms 4180 KB Output is correct
22 Correct 49 ms 8404 KB Output is correct
23 Correct 51 ms 7632 KB Output is correct
24 Correct 59 ms 8504 KB Output is correct
25 Correct 42 ms 7756 KB Output is correct

Subtask #2
44.0740740741 / 70.0

# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 4180 KB Output isn't correct
2 Incorrect 3 ms 4308 KB Output isn't correct
3 Correct 53 ms 9408 KB Output is correct
4 Correct 2 ms 4180 KB Output is correct
5 Correct 2 ms 4180 KB Output is correct
6 Correct 3 ms 4228 KB Output is correct
7 Incorrect 3 ms 4180 KB Output isn't correct
8 Incorrect 3 ms 4260 KB Output isn't correct
9 Correct 3 ms 4180 KB Output is correct
10 Correct 2 ms 4180 KB Output is correct
11 Correct 3 ms 4244 KB Output is correct
12 Correct 2 ms 4180 KB Output is correct
13 Correct 3 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 2 ms 4308 KB Output is correct
18 Correct 2 ms 4180 KB Output is correct
19 Correct 3 ms 4268 KB Output is correct
20 Correct 2 ms 4180 KB Output is correct
21 Correct 3 ms 4180 KB Output is correct
22 Incorrect 3 ms 4308 KB Output isn't correct
23 Incorrect 50 ms 9388 KB Output isn't correct
24 Incorrect 57 ms 10348 KB Output isn't correct
25 Correct 46 ms 9336 KB Output is correct
26 Correct 3 ms 4180 KB Output is correct
27 Correct 2 ms 4268 KB Output is correct
28 Correct 2 ms 4180 KB Output is correct
29 Correct 2 ms 4268 KB Output is correct
30 Incorrect 53 ms 9764 KB Output isn't correct
31 Incorrect 59 ms 11008 KB Output isn't correct
32 Incorrect 66 ms 9696 KB Output isn't correct
33 Correct 59 ms 9488 KB Output is correct
34 Correct 3 ms 4180 KB Output is correct
35 Correct 2 ms 4260 KB Output is correct
36 Correct 2 ms 4272 KB Output is correct
37 Correct 2 ms 4180 KB Output is correct
38 Incorrect 60 ms 10060 KB Output isn't correct
39 Incorrect 58 ms 9464 KB Output isn't correct
40 Incorrect 56 ms 10384 KB Output isn't correct
41 Correct 56 ms 9656 KB Output is correct
42 Correct 3 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 62 ms 9804 KB Output isn't correct
47 Incorrect 57 ms 10292 KB Output isn't correct
48 Incorrect 57 ms 10764 KB Output isn't correct
49 Correct 47 ms 9164 KB Output is correct
50 Correct 2 ms 4180 KB Output is correct
51 Correct 3 ms 4268 KB Output is correct
52 Correct 2 ms 4180 KB Output is correct
53 Correct 2 ms 4180 KB Output is correct
54 Incorrect 67 ms 9736 KB Output isn't correct