Submission #555880

# Submission time Handle Problem Language Result Execution time Memory
555880 2022-05-01T18:34:57 Z blue Pipes (BOI13_pipes) C++17
65 / 100
67 ms 11696 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])
				{
					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;
			}
		}
		return 0;
		// 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++)
		{
			a[i] = -a[i-1];
			b[i] = c[nodes[i]] - b[i-1];
		}

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

		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';
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 4180 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 8316 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 4 ms 4180 KB Output is correct
11 Correct 3 ms 4180 KB Output is correct
12 Correct 2 ms 4308 KB Output is correct
13 Correct 45 ms 7540 KB Output is correct
14 Correct 44 ms 8080 KB Output is correct
15 Correct 50 ms 8380 KB Output is correct
16 Correct 44 ms 7744 KB Output is correct
17 Correct 55 ms 8328 KB Output is correct
18 Correct 49 ms 8308 KB Output is correct
19 Correct 67 ms 11696 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 8288 KB Output is correct
23 Correct 39 ms 7524 KB Output is correct
24 Correct 52 ms 8324 KB Output is correct
25 Correct 42 ms 7632 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 4180 KB Output isn't correct
2 Incorrect 2 ms 4180 KB Output isn't correct
3 Incorrect 39 ms 8788 KB Output isn't correct
4 Correct 2 ms 4180 KB Output is correct
5 Correct 3 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 Incorrect 3 ms 4180 KB Output isn't correct
10 Correct 2 ms 4180 KB Output is correct
11 Correct 2 ms 4180 KB Output is correct
12 Correct 2 ms 4180 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 2 ms 4180 KB Output isn't correct
16 Incorrect 2 ms 4180 KB Output isn't correct
17 Incorrect 3 ms 4180 KB Output isn't correct
18 Correct 2 ms 4180 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 4180 KB Output isn't correct
23 Incorrect 38 ms 8284 KB Output isn't correct
24 Incorrect 45 ms 9248 KB Output isn't correct
25 Incorrect 36 ms 8780 KB Output isn't 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 46 ms 9016 KB Output isn't correct
31 Incorrect 41 ms 8596 KB Output isn't correct
32 Incorrect 52 ms 9164 KB Output isn't correct
33 Incorrect 48 ms 9272 KB Output isn't correct
34 Correct 2 ms 4180 KB Output is correct
35 Correct 3 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 42 ms 8780 KB Output isn't correct
39 Incorrect 42 ms 9240 KB Output isn't correct
40 Incorrect 41 ms 8904 KB Output isn't correct
41 Incorrect 41 ms 8548 KB Output isn't correct
42 Correct 2 ms 4180 KB Output is correct
43 Correct 2 ms 4180 KB Output is correct
44 Correct 3 ms 4180 KB Output is correct
45 Correct 2 ms 4180 KB Output is correct
46 Incorrect 46 ms 8504 KB Output isn't correct
47 Incorrect 57 ms 9496 KB Output isn't correct
48 Incorrect 41 ms 8612 KB Output isn't correct
49 Incorrect 38 ms 9028 KB Output isn't correct
50 Correct 3 ms 4140 KB Output is correct
51 Correct 2 ms 4180 KB Output is correct
52 Correct 2 ms 4308 KB Output is correct
53 Correct 2 ms 4180 KB Output is correct
54 Incorrect 46 ms 8756 KB Output isn't correct