Submission #555873

# Submission time Handle Problem Language Result Execution time Memory
555873 2022-05-01T18:30:16 Z blue Pipes (BOI13_pipes) C++17
67.5926 / 100
70 ms 21196 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;
			}
		}
		// 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]] = ((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 52 ms 8344 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 3 ms 4240 KB Output is correct
9 Correct 3 ms 4188 KB Output is correct
10 Correct 2 ms 4180 KB Output is correct
11 Correct 4 ms 4180 KB Output is correct
12 Correct 3 ms 4308 KB Output is correct
13 Correct 47 ms 7440 KB Output is correct
14 Correct 50 ms 8096 KB Output is correct
15 Correct 48 ms 8300 KB Output is correct
16 Correct 49 ms 7756 KB Output is correct
17 Correct 58 ms 8364 KB Output is correct
18 Correct 63 ms 8356 KB Output is correct
19 Correct 69 ms 11656 KB Output is correct
20 Correct 2 ms 4180 KB Output is correct
21 Correct 3 ms 4180 KB Output is correct
22 Correct 48 ms 8300 KB Output is correct
23 Correct 42 ms 7552 KB Output is correct
24 Correct 54 ms 8364 KB Output is correct
25 Correct 41 ms 7640 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 4180 KB Output isn't correct
2 Incorrect 3 ms 4180 KB Output isn't correct
3 Runtime error 70 ms 19672 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 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 4308 KB Output isn't correct
17 Correct 2 ms 4180 KB Output is correct
18 Correct 3 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 2 ms 4276 KB Output isn't correct
23 Runtime error 55 ms 18568 KB Execution killed with signal 11
24 Runtime error 59 ms 20844 KB Execution killed with signal 11
25 Runtime error 45 ms 19624 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 48 ms 21196 KB Execution killed with signal 11
31 Runtime error 49 ms 20296 KB Execution killed with signal 11
32 Incorrect 52 ms 9208 KB Output isn't correct
33 Runtime error 62 ms 21084 KB Execution killed with signal 11
34 Correct 3 ms 4180 KB Output is correct
35 Correct 3 ms 4180 KB Output is correct
36 Correct 4 ms 4180 KB Output is correct
37 Correct 2 ms 4180 KB Output is correct
38 Runtime error 44 ms 20428 KB Execution killed with signal 11
39 Runtime error 48 ms 20220 KB Execution killed with signal 11
40 Runtime error 46 ms 20336 KB Execution killed with signal 11
41 Runtime error 43 ms 20224 KB Execution killed with signal 11
42 Correct 3 ms 4180 KB Output is correct
43 Correct 3 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 37 ms 8540 KB Output isn't correct
47 Incorrect 66 ms 9472 KB Output isn't correct
48 Incorrect 45 ms 8624 KB Output isn't correct
49 Correct 43 ms 8908 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 47 ms 20444 KB Execution killed with signal 11