#include <bits/stdc++.h>
using namespace std;
typedef vector<int> vi;
typedef long long ll;
typedef pair<int, int> pi;
typedef vector<pi> vpi;
#define mp make_pair
#define f first
#define s second
#define pb push_back
struct DSU{
vi e;
void init(int n){
e = vi(n, -1);
}
int get(int a){
if(e[a] < 0) return a;
e[a] = get(e[a]);
return e[a];
}
bool unite(int a, int b){
a = get(a);
b = get(b);
if(a == b) return 0;
if(-e[a] < -e[b]) swap(a, b);
e[b] = a;
return 1;
}
};
const int mx = 500005;
const int mx1 = 100005;
int N, M;
ll c[mx1];
ll origc[mx1];
int u[mx];
int v[mx];
ll x[mx];
bool inTree[mx1];
vpi adj[mx1];
int depth[mx1];
void genTree(int node, int prv = -1, int d = 0){
depth[node] = d;
for(auto u: adj[node]){
if(u.f == prv) continue;
genTree(u.f, node, d+1);
ll val = c[u.f];
x[u.s]+=val;
c[u.f]-=val;
c[node]-=val;
}
}
int main(){
cin >> N >> M;
DSU dsu;
dsu.init(N+5);
for(int i = 1; i <= N; i++){
cin >> c[i];
origc[i] = c[i];
}
for(int i = 1; i <= M; i++){
cin >> u[i] >> v[i];
if(dsu.unite(u[i], v[i])){
inTree[i] = 1;
adj[u[i]].pb(mp(v[i], i));
adj[v[i]].pb(mp(u[i], i));
}
}
genTree(1);
if(M == N-1){ //Good
if(c[1] != 0){
assert(0==1);
cout << 0 << "\n";
return 0;
}
for(int i = 1; i <= M; i++){
cout << 2*x[i] << "\n";
}
return 0;
}
if(M >= N+1){
cout << 0 << "\n";
return 0;
}
for(int i = 1; i <= M; i++){
if(inTree[i]) continue;
if(depth[u[i]] % 2 != depth[v[i]] % 2){
cout << 0 << "\n";
return 0;
}
for(int j = 1; j <= M; j++){
x[j] = 0;
}
if(depth[u[i]] % 2 == 0) x[i] = c[1]/2;
else x[i] = -c[1]/2;
for(int j = 1; j <= N; j++){
c[j] = origc[j];
}
c[u[i]]-=x[i];
c[v[i]]-=x[i];
genTree(1);
assert(c[1] == 0);
}
for(int i = 1; i <= M; i++){
cout << 2*x[i] << "\n";
}
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2668 KB |
Output is correct |
2 |
Correct |
2 ms |
2668 KB |
Output is correct |
3 |
Correct |
3 ms |
2796 KB |
Output is correct |
4 |
Correct |
135 ms |
11492 KB |
Output is correct |
5 |
Correct |
2 ms |
2668 KB |
Output is correct |
6 |
Correct |
2 ms |
2668 KB |
Output is correct |
7 |
Correct |
2 ms |
2668 KB |
Output is correct |
8 |
Correct |
2 ms |
2668 KB |
Output is correct |
9 |
Correct |
3 ms |
2796 KB |
Output is correct |
10 |
Correct |
3 ms |
2796 KB |
Output is correct |
11 |
Correct |
3 ms |
2796 KB |
Output is correct |
12 |
Correct |
3 ms |
2796 KB |
Output is correct |
13 |
Correct |
110 ms |
10340 KB |
Output is correct |
14 |
Correct |
131 ms |
11748 KB |
Output is correct |
15 |
Correct |
154 ms |
12188 KB |
Output is correct |
16 |
Correct |
113 ms |
10980 KB |
Output is correct |
17 |
Correct |
139 ms |
12132 KB |
Output is correct |
18 |
Correct |
147 ms |
12260 KB |
Output is correct |
19 |
Correct |
145 ms |
16228 KB |
Output is correct |
20 |
Correct |
2 ms |
2668 KB |
Output is correct |
21 |
Correct |
3 ms |
2796 KB |
Output is correct |
22 |
Correct |
140 ms |
12132 KB |
Output is correct |
23 |
Correct |
109 ms |
10468 KB |
Output is correct |
24 |
Correct |
142 ms |
12260 KB |
Output is correct |
25 |
Correct |
113 ms |
10852 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
2668 KB |
Output is correct |
2 |
Correct |
3 ms |
2924 KB |
Output is correct |
3 |
Correct |
127 ms |
13796 KB |
Output is correct |
4 |
Correct |
128 ms |
14620 KB |
Output is correct |
5 |
Correct |
119 ms |
11492 KB |
Output is correct |
6 |
Correct |
386 ms |
19432 KB |
Output is correct |
7 |
Correct |
2 ms |
2668 KB |
Output is correct |
8 |
Correct |
2 ms |
2668 KB |
Output is correct |
9 |
Correct |
2 ms |
2668 KB |
Output is correct |
10 |
Correct |
2 ms |
2668 KB |
Output is correct |
11 |
Correct |
2 ms |
2668 KB |
Output is correct |
12 |
Correct |
2 ms |
2668 KB |
Output is correct |
13 |
Correct |
3 ms |
2668 KB |
Output is correct |
14 |
Correct |
2 ms |
2668 KB |
Output is correct |
15 |
Correct |
3 ms |
2924 KB |
Output is correct |
16 |
Correct |
3 ms |
2796 KB |
Output is correct |
17 |
Correct |
3 ms |
2796 KB |
Output is correct |
18 |
Correct |
3 ms |
2796 KB |
Output is correct |
19 |
Correct |
3 ms |
2796 KB |
Output is correct |
20 |
Correct |
3 ms |
2792 KB |
Output is correct |
21 |
Correct |
4 ms |
2796 KB |
Output is correct |
22 |
Correct |
4 ms |
2796 KB |
Output is correct |
23 |
Correct |
133 ms |
13496 KB |
Output is correct |
24 |
Correct |
161 ms |
15880 KB |
Output is correct |
25 |
Correct |
127 ms |
14004 KB |
Output is correct |
26 |
Correct |
132 ms |
17252 KB |
Output is correct |
27 |
Correct |
137 ms |
17764 KB |
Output is correct |
28 |
Correct |
128 ms |
12004 KB |
Output is correct |
29 |
Correct |
319 ms |
18736 KB |
Output is correct |
30 |
Correct |
157 ms |
19372 KB |
Output is correct |
31 |
Correct |
198 ms |
18788 KB |
Output is correct |
32 |
Correct |
161 ms |
13540 KB |
Output is correct |
33 |
Correct |
140 ms |
15340 KB |
Output is correct |
34 |
Correct |
134 ms |
16740 KB |
Output is correct |
35 |
Correct |
133 ms |
14820 KB |
Output is correct |
36 |
Correct |
133 ms |
11876 KB |
Output is correct |
37 |
Correct |
376 ms |
19556 KB |
Output is correct |
38 |
Correct |
155 ms |
15336 KB |
Output is correct |
39 |
Correct |
152 ms |
13144 KB |
Output is correct |
40 |
Correct |
175 ms |
15252 KB |
Output is correct |
41 |
Correct |
137 ms |
18788 KB |
Output is correct |
42 |
Correct |
135 ms |
18916 KB |
Output is correct |
43 |
Correct |
132 ms |
16352 KB |
Output is correct |
44 |
Correct |
125 ms |
11748 KB |
Output is correct |
45 |
Correct |
323 ms |
14948 KB |
Output is correct |
46 |
Correct |
171 ms |
17636 KB |
Output is correct |
47 |
Correct |
167 ms |
15576 KB |
Output is correct |
48 |
Correct |
154 ms |
19556 KB |
Output is correct |
49 |
Correct |
122 ms |
12772 KB |
Output is correct |
50 |
Correct |
136 ms |
15960 KB |
Output is correct |
51 |
Correct |
132 ms |
13796 KB |
Output is correct |
52 |
Correct |
130 ms |
13016 KB |
Output is correct |
53 |
Correct |
313 ms |
16484 KB |
Output is correct |
54 |
Correct |
155 ms |
16868 KB |
Output is correct |