Submission #555871

# Submission time Handle Problem Language Result Execution time Memory
555871 2022-05-01T18:25:40 Z blue Pipes (BOI13_pipes) C++17
67.5926 / 100
67 ms 21220 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]] = -((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 2 ms 4180 KB Output is correct
4 Correct 48 ms 8308 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 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 39 ms 7476 KB Output is correct
14 Correct 66 ms 8176 KB Output is correct
15 Correct 59 ms 8416 KB Output is correct
16 Correct 42 ms 7756 KB Output is correct
17 Correct 48 ms 8340 KB Output is correct
18 Correct 48 ms 8356 KB Output is correct
19 Correct 64 ms 11616 KB Output is correct
20 Correct 2 ms 4180 KB Output is correct
21 Correct 3 ms 4180 KB Output is correct
22 Correct 59 ms 8316 KB Output is correct
23 Correct 37 ms 7516 KB Output is correct
24 Correct 48 ms 8312 KB Output is correct
25 Correct 38 ms 7680 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 59 ms 19668 KB Execution killed with signal 11
4 Correct 3 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 3 ms 4180 KB Output isn't correct
8 Incorrect 2 ms 4180 KB Output isn't correct
9 Runtime error 8 ms 8324 KB Execution killed with signal 11
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 4208 KB Output isn't correct
15 Incorrect 2 ms 4180 KB Output isn't correct
16 Runtime error 6 ms 8532 KB Execution killed with signal 6
17 Correct 3 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 4308 KB Output isn't correct
23 Runtime error 50 ms 18176 KB Execution killed with signal 11
24 Runtime error 54 ms 21172 KB Execution killed with signal 11
25 Runtime error 43 ms 19640 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 52 ms 20172 KB Execution killed with signal 11
31 Runtime error 61 ms 20224 KB Execution killed with signal 11
32 Incorrect 53 ms 9164 KB Output isn't correct
33 Runtime error 48 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 51 ms 21220 KB Execution killed with signal 11
39 Runtime error 52 ms 20200 KB Execution killed with signal 11
40 Runtime error 54 ms 21208 KB Execution killed with signal 11
41 Runtime error 47 ms 20324 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 42 ms 8492 KB Output isn't correct
47 Incorrect 48 ms 9284 KB Output isn't correct
48 Incorrect 43 ms 8660 KB Output isn't correct
49 Correct 43 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 67 ms 20848 KB Execution killed with signal 11