#include <bits/stdc++.h>
#define int int64_t
using namespace std;
typedef pair<int, int> pii;
const int maxn = 1e5 + 10;
const int maxm = 5e5 + 10;
vector<int> grafo[maxn];
int n;
int s[maxn];
map<pair<int, int>, int> mapa;
int val[maxn], ans[maxn];
int grau[maxn];
namespace tree{
int nivel[maxn], pai[maxn], soma[maxn];
void dfs(int u, int p = 0) {
pai[u] = p;
for(auto v : grafo[u]) {
if(v == p) continue;
nivel[v] = nivel[u] + 1;
dfs(v, u);
}
}
};
vector<int> ordem;
namespace cycle {
int st;
void solve() {
if(ordem.size() % 2 == 0){
cout << "0\n";
return;
}
int x = 0;
int sig = 1;
for(auto& u : ordem){
x += s[u]*sig;
sig *= -1;
}
x/=2;
ans[mapa[{ordem[0], ordem.back()}]] = x;
// cout << ordem[0] << " " << ordem.back() << ": " << ans[mapa[{ordem[0], ordem.back()}]] << "\n";
for(int i = 0; i < (int)ordem.size() - 1; i++) {
ans[mapa[{ordem[i], ordem[i+1]}]] = s[ordem[i]] - x;
// cout << ordem[i] << " " << ordem[i+1] << ": " << s[ordem[i]] - x << "\n";
x = s[ordem[i]] - x;
}
for(int i=1;i<=n;i++){
cout << ans[i] << "\n";
}
}
};
bool mark[maxn], mark2[maxn];
int dfs(int u, int l = 0) {
mark[u] = true;
mark2[u] = true;
for(auto v : grafo[u]){
if(mark2[v] && v != l) {
mark2[u] = false;
ordem.push_back(u);
return v;
}else if(mark[v]) continue;
int x = dfs(v, u);
if(x != 0){
mark2[u] = false;
ordem.push_back(u);
return (u == x ? 0 : x);
}
}
mark2[u] = false;
return 0;
}
bool test[maxn];
int ciclo[maxn];
void dfs2(int u) {
test[u] = true;
for(auto v : grafo[u]) {
if(test[v] || ciclo[v]) continue;
dfs2(v);
s[u] -= s[v];
}
for(auto v : grafo[u])
if(ciclo[v]) s[v] -= s[u];
}
int32_t main() {
int m;
cin >> n >> m;
if(m > n) {
cout << "0\n";
return 0;
}
int total = 0;
for(int i=1;i<=n;i++)
cin >> s[i], s[i] *= 2, total += s[i];
for(int i=1;i<=m;i++) {
int a, b;
cin >> a >> b;
grafo[a].push_back(b);
grafo[b].push_back(a);
mapa[{a, b}] = i;
mapa[{b, a}] = i;
grau[a]++;
grau[b]++;
}
if(n - 1 == m) {
tree::dfs(1);
vector<pii> arr;
for(int i=1;i<=n;i++)
arr.push_back({tree::nivel[i], i});
sort(arr.begin(), arr.end(), greater<pii>());
for(auto e : arr) {
int v = e.second;
int u = tree::pai[v];
tree::soma[u] += (s[v] - tree::soma[v]);
ans[mapa[{u, v}]] = (s[v] - tree::soma[v]);
}
if(tree::soma[1] != s[1]){
cout << "0\n";
return 0;
}
for(int i=1;i<=m;i++)
cout << ans[i] << "\n";
}else { // n == m
dfs(1);
// for(auto& u : ordem){
// cout << u << "\n";
// }
for(auto& o : ordem)
ciclo[o] = true;
for(int u=1;u<=n;u++) {
if(ciclo[u] || test[u]) continue;
dfs2(u);
}
cycle::st = ordem[0];
cycle::solve();
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
2688 KB |
Output is correct |
2 |
Correct |
4 ms |
2688 KB |
Output is correct |
3 |
Correct |
5 ms |
2944 KB |
Output is correct |
4 |
Correct |
341 ms |
25848 KB |
Output is correct |
5 |
Correct |
4 ms |
2688 KB |
Output is correct |
6 |
Correct |
4 ms |
2688 KB |
Output is correct |
7 |
Correct |
4 ms |
2688 KB |
Output is correct |
8 |
Correct |
4 ms |
2688 KB |
Output is correct |
9 |
Correct |
5 ms |
2944 KB |
Output is correct |
10 |
Correct |
5 ms |
3072 KB |
Output is correct |
11 |
Correct |
5 ms |
2944 KB |
Output is correct |
12 |
Correct |
6 ms |
2960 KB |
Output is correct |
13 |
Correct |
261 ms |
21096 KB |
Output is correct |
14 |
Correct |
334 ms |
24552 KB |
Output is correct |
15 |
Correct |
352 ms |
25820 KB |
Output is correct |
16 |
Correct |
301 ms |
22244 KB |
Output is correct |
17 |
Correct |
352 ms |
25700 KB |
Output is correct |
18 |
Correct |
365 ms |
25828 KB |
Output is correct |
19 |
Correct |
394 ms |
27624 KB |
Output is correct |
20 |
Correct |
4 ms |
2688 KB |
Output is correct |
21 |
Correct |
5 ms |
2944 KB |
Output is correct |
22 |
Correct |
354 ms |
25776 KB |
Output is correct |
23 |
Correct |
295 ms |
21092 KB |
Output is correct |
24 |
Correct |
352 ms |
25828 KB |
Output is correct |
25 |
Correct |
285 ms |
22028 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
4 ms |
2688 KB |
Output isn't correct |
2 |
Incorrect |
5 ms |
2916 KB |
Output isn't correct |
3 |
Correct |
275 ms |
22868 KB |
Output is correct |
4 |
Correct |
3 ms |
2688 KB |
Output is correct |
5 |
Correct |
4 ms |
2688 KB |
Output is correct |
6 |
Correct |
3 ms |
2688 KB |
Output is correct |
7 |
Incorrect |
3 ms |
2688 KB |
Output isn't correct |
8 |
Incorrect |
4 ms |
2688 KB |
Output isn't correct |
9 |
Correct |
4 ms |
2688 KB |
Output is correct |
10 |
Correct |
3 ms |
2688 KB |
Output is correct |
11 |
Correct |
4 ms |
2688 KB |
Output is correct |
12 |
Correct |
3 ms |
2688 KB |
Output is correct |
13 |
Correct |
4 ms |
2688 KB |
Output is correct |
14 |
Incorrect |
4 ms |
2816 KB |
Output isn't correct |
15 |
Incorrect |
5 ms |
2944 KB |
Output isn't correct |
16 |
Incorrect |
5 ms |
2944 KB |
Output isn't correct |
17 |
Correct |
5 ms |
2944 KB |
Output is correct |
18 |
Correct |
3 ms |
2688 KB |
Output is correct |
19 |
Correct |
4 ms |
2688 KB |
Output is correct |
20 |
Correct |
4 ms |
2688 KB |
Output is correct |
21 |
Correct |
3 ms |
2688 KB |
Output is correct |
22 |
Incorrect |
5 ms |
2944 KB |
Output isn't correct |
23 |
Incorrect |
243 ms |
21644 KB |
Output isn't correct |
24 |
Incorrect |
343 ms |
25580 KB |
Output isn't correct |
25 |
Correct |
242 ms |
22896 KB |
Output is correct |
26 |
Correct |
3 ms |
2688 KB |
Output is correct |
27 |
Correct |
4 ms |
2688 KB |
Output is correct |
28 |
Correct |
3 ms |
2688 KB |
Output is correct |
29 |
Correct |
4 ms |
2688 KB |
Output is correct |
30 |
Incorrect |
312 ms |
26356 KB |
Output isn't correct |
31 |
Incorrect |
356 ms |
27248 KB |
Output isn't correct |
32 |
Incorrect |
297 ms |
23540 KB |
Output isn't correct |
33 |
Correct |
265 ms |
24412 KB |
Output is correct |
34 |
Correct |
3 ms |
2688 KB |
Output is correct |
35 |
Correct |
4 ms |
2688 KB |
Output is correct |
36 |
Correct |
4 ms |
2688 KB |
Output is correct |
37 |
Correct |
4 ms |
2688 KB |
Output is correct |
38 |
Incorrect |
318 ms |
24912 KB |
Output isn't correct |
39 |
Incorrect |
298 ms |
23032 KB |
Output isn't correct |
40 |
Incorrect |
308 ms |
25208 KB |
Output isn't correct |
41 |
Correct |
281 ms |
25908 KB |
Output is correct |
42 |
Correct |
4 ms |
2688 KB |
Output is correct |
43 |
Correct |
4 ms |
2688 KB |
Output is correct |
44 |
Correct |
4 ms |
2688 KB |
Output is correct |
45 |
Correct |
4 ms |
2688 KB |
Output is correct |
46 |
Incorrect |
311 ms |
27120 KB |
Output isn't correct |
47 |
Incorrect |
319 ms |
25348 KB |
Output isn't correct |
48 |
Incorrect |
328 ms |
27044 KB |
Output isn't correct |
49 |
Correct |
267 ms |
21284 KB |
Output is correct |
50 |
Correct |
4 ms |
2688 KB |
Output is correct |
51 |
Correct |
4 ms |
2688 KB |
Output is correct |
52 |
Correct |
4 ms |
2688 KB |
Output is correct |
53 |
Correct |
4 ms |
2688 KB |
Output is correct |
54 |
Incorrect |
308 ms |
25556 KB |
Output isn't correct |