#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] == 1)
{
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++)
{
if(!(1 <= nodes[i] && nodes[i] <= N)) while(1);
a[i] = -a[i-1];
b[i] = c[nodes[i]] - b[i-1];
}
// return 0;
//(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';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
4180 KB |
Output is correct |
2 |
Correct |
3 ms |
4180 KB |
Output is correct |
3 |
Correct |
3 ms |
4180 KB |
Output is correct |
4 |
Correct |
70 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 |
2 ms |
4180 KB |
Output is correct |
9 |
Correct |
2 ms |
4180 KB |
Output is correct |
10 |
Correct |
3 ms |
4180 KB |
Output is correct |
11 |
Correct |
2 ms |
4180 KB |
Output is correct |
12 |
Correct |
3 ms |
4308 KB |
Output is correct |
13 |
Correct |
59 ms |
7492 KB |
Output is correct |
14 |
Correct |
50 ms |
8088 KB |
Output is correct |
15 |
Correct |
50 ms |
8360 KB |
Output is correct |
16 |
Correct |
41 ms |
7736 KB |
Output is correct |
17 |
Correct |
66 ms |
8328 KB |
Output is correct |
18 |
Correct |
57 ms |
8288 KB |
Output is correct |
19 |
Correct |
62 ms |
11648 KB |
Output is correct |
20 |
Correct |
2 ms |
4180 KB |
Output is correct |
21 |
Correct |
3 ms |
4180 KB |
Output is correct |
22 |
Correct |
51 ms |
8340 KB |
Output is correct |
23 |
Correct |
40 ms |
7456 KB |
Output is correct |
24 |
Correct |
48 ms |
8352 KB |
Output is correct |
25 |
Correct |
39 ms |
7604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
4180 KB |
Output isn't correct |
2 |
Incorrect |
3 ms |
4308 KB |
Output isn't correct |
3 |
Correct |
52 ms |
9268 KB |
Output is correct |
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 |
Correct |
2 ms |
4180 KB |
Output is 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 |
3 ms |
4308 KB |
Output isn't correct |
16 |
Incorrect |
3 ms |
4308 KB |
Output isn't correct |
17 |
Correct |
3 ms |
4308 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 |
2 ms |
4308 KB |
Output isn't correct |
23 |
Incorrect |
44 ms |
9288 KB |
Output isn't correct |
24 |
Incorrect |
70 ms |
10280 KB |
Output isn't correct |
25 |
Correct |
64 ms |
9208 KB |
Output is 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 |
4216 KB |
Output is correct |
30 |
Incorrect |
62 ms |
9596 KB |
Output isn't correct |
31 |
Incorrect |
68 ms |
10824 KB |
Output isn't correct |
32 |
Incorrect |
86 ms |
9604 KB |
Output isn't correct |
33 |
Correct |
66 ms |
9388 KB |
Output is correct |
34 |
Correct |
2 ms |
4180 KB |
Output is correct |
35 |
Correct |
2 ms |
4180 KB |
Output is correct |
36 |
Correct |
3 ms |
4180 KB |
Output is correct |
37 |
Correct |
2 ms |
4180 KB |
Output is correct |
38 |
Incorrect |
67 ms |
9912 KB |
Output isn't correct |
39 |
Incorrect |
64 ms |
9360 KB |
Output isn't correct |
40 |
Incorrect |
66 ms |
10232 KB |
Output isn't correct |
41 |
Correct |
57 ms |
9468 KB |
Output is correct |
42 |
Correct |
2 ms |
4216 KB |
Output is correct |
43 |
Correct |
2 ms |
4180 KB |
Output is correct |
44 |
Correct |
2 ms |
4180 KB |
Output is correct |
45 |
Correct |
2 ms |
4192 KB |
Output is correct |
46 |
Incorrect |
76 ms |
9640 KB |
Output isn't correct |
47 |
Incorrect |
57 ms |
10228 KB |
Output isn't correct |
48 |
Incorrect |
64 ms |
10692 KB |
Output isn't correct |
49 |
Correct |
45 ms |
9072 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 |
Incorrect |
64 ms |
9688 KB |
Output isn't correct |