Submission #555882

# Submission time Handle Problem Language Result Execution time Memory
555882 2022-05-01T18:36:07 Z blue Pipes (BOI13_pipes) C++17
67.5926 / 100
89 ms 21088 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])

		if(a.back() + a[0] == 0) while(1);

		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 64 ms 8344 KB Output is correct
5 Correct 2 ms 4180 KB Output is correct
6 Correct 3 ms 4180 KB Output is correct
7 Correct 3 ms 4180 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 4180 KB Output is correct
11 Correct 3 ms 4180 KB Output is correct
12 Correct 3 ms 4308 KB Output is correct
13 Correct 72 ms 7448 KB Output is correct
14 Correct 67 ms 8076 KB Output is correct
15 Correct 59 ms 8372 KB Output is correct
16 Correct 50 ms 7720 KB Output is correct
17 Correct 57 ms 8308 KB Output is correct
18 Correct 64 ms 8316 KB Output is correct
19 Correct 89 ms 11604 KB Output is correct
20 Correct 4 ms 4180 KB Output is correct
21 Correct 3 ms 4224 KB Output is correct
22 Correct 75 ms 8340 KB Output is correct
23 Correct 45 ms 7456 KB Output is correct
24 Correct 63 ms 8420 KB Output is correct
25 Correct 48 ms 7612 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 3 ms 4180 KB Output isn't correct
2 Incorrect 3 ms 4180 KB Output isn't correct
3 Runtime error 52 ms 19652 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 4 ms 4180 KB Output is correct
7 Incorrect 2 ms 4180 KB Output isn't correct
8 Incorrect 4 ms 4176 KB Output isn't correct
9 Runtime error 8 ms 8352 KB Execution killed with signal 6
10 Correct 3 ms 4180 KB Output is correct
11 Correct 3 ms 4180 KB Output is correct
12 Correct 3 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 3 ms 4180 KB Output isn't correct
16 Incorrect 3 ms 4308 KB Output isn't correct
17 Correct 3 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 3 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 54 ms 18592 KB Execution killed with signal 11
24 Runtime error 61 ms 20840 KB Execution killed with signal 11
25 Runtime error 66 ms 19608 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 3 ms 4180 KB Output is correct
30 Runtime error 75 ms 21088 KB Execution killed with signal 11
31 Runtime error 61 ms 20252 KB Execution killed with signal 11
32 Incorrect 48 ms 9164 KB Output isn't correct
33 Runtime error 55 ms 21060 KB Execution killed with signal 11
34 Correct 2 ms 4208 KB Output is correct
35 Correct 2 ms 4180 KB Output is correct
36 Correct 2 ms 4180 KB Output is correct
37 Correct 3 ms 4180 KB Output is correct
38 Runtime error 61 ms 20432 KB Execution killed with signal 11
39 Runtime error 55 ms 20244 KB Execution killed with signal 11
40 Runtime error 72 ms 20380 KB Execution killed with signal 11
41 Runtime error 57 ms 20252 KB Execution killed with signal 11
42 Correct 2 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 45 ms 8524 KB Output isn't correct
47 Incorrect 66 ms 9444 KB Output isn't correct
48 Incorrect 48 ms 8580 KB Output isn't correct
49 Correct 64 ms 8988 KB Output is correct
50 Correct 2 ms 4180 KB Output is correct
51 Correct 2 ms 4180 KB Output is correct
52 Correct 3 ms 4180 KB Output is correct
53 Correct 2 ms 4180 KB Output is correct
54 Runtime error 49 ms 20336 KB Execution killed with signal 11