Submission #555870

# Submission time Handle Problem Language Result Execution time Memory
555870 2022-05-01T18:25:17 Z blue Pipes (BOI13_pipes) C++17
67.5926 / 100
72 ms 21272 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;
			}
		}
		// 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]);
		}
	}

	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 72 ms 8276 KB Output is correct
5 Correct 3 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 2 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 42 ms 7460 KB Output is correct
14 Correct 46 ms 8140 KB Output is correct
15 Correct 53 ms 8344 KB Output is correct
16 Correct 50 ms 7712 KB Output is correct
17 Correct 72 ms 8316 KB Output is correct
18 Correct 65 ms 8320 KB Output is correct
19 Correct 58 ms 11700 KB Output is correct
20 Correct 2 ms 4180 KB Output is correct
21 Correct 2 ms 4180 KB Output is correct
22 Correct 52 ms 8316 KB Output is correct
23 Correct 38 ms 7460 KB Output is correct
24 Correct 59 ms 8404 KB Output is correct
25 Correct 60 ms 7636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 4180 KB Output isn't correct
2 Incorrect 2 ms 4308 KB Output isn't correct
3 Runtime error 45 ms 19592 KB Execution killed with signal 11
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 Runtime error 6 ms 8404 KB Execution killed with signal 6
10 Correct 2 ms 4180 KB Output is correct
11 Correct 3 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 3 ms 4180 KB Output isn't correct
15 Incorrect 3 ms 4180 KB Output isn't correct
16 Runtime error 6 ms 8532 KB Execution killed with signal 6
17 Correct 2 ms 4180 KB Output is 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 Runtime error 41 ms 18132 KB Execution killed with signal 11
24 Runtime error 51 ms 21176 KB Execution killed with signal 11
25 Runtime error 57 ms 19684 KB Execution killed with signal 11
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 Runtime error 50 ms 20252 KB Execution killed with signal 11
31 Runtime error 48 ms 20328 KB Execution killed with signal 11
32 Incorrect 40 ms 9224 KB Output isn't correct
33 Runtime error 58 ms 20976 KB Execution killed with signal 11
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 Runtime error 54 ms 21256 KB Execution killed with signal 11
39 Runtime error 46 ms 20300 KB Execution killed with signal 11
40 Runtime error 59 ms 21272 KB Execution killed with signal 11
41 Runtime error 60 ms 20412 KB Execution killed with signal 11
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 43 ms 8604 KB Output isn't correct
47 Incorrect 46 ms 9328 KB Output isn't correct
48 Incorrect 38 ms 8652 KB Output isn't correct
49 Correct 37 ms 8976 KB Output is correct
50 Correct 2 ms 4180 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 Runtime error 57 ms 20912 KB Execution killed with signal 11