#include <bits/stdc++.h>
using namespace std;
#define MOD 998244353
#define INF 1000000001
#define LNF 1000000000000000001
#define int ll
typedef long long ll;
typedef pair<int,int> pii;
void solve(){
//#define TEST
int n,m;cin >> n >> m;
if(m > n){
cout << "0";
return;
}
vector<int> net(n);
for(int i = 0;i < n;i++){
cin >> net[i];
}
vector<int> ret(m);
vector<vector<pii>> edge(n);
for(int i = 0;i < m;i++){
int a,b;cin >> a >> b;a--;b--;
edge[a].emplace_back(b,i);
edge[b].emplace_back(a,i);
}
//find leafs
queue<int> leaf;
vector<int> sizes(n);
vector<int> removed(n);
for(int i = 0;i < n;i++){
sizes[i] = edge[i].size();
if(edge[i].size() == 1){
leaf.push(i);
}
}
//remove all leaves
while(!leaf.empty()){
int top = leaf.front();
leaf.pop();
if(removed[top])
continue;
removed[top] = true;
pii parent;
for(auto i : edge[top]){
if(!removed[i.first])
parent = i;
}
// cout << top+1 << ' ' << parent.first+1 << ' ' << parent.second+1 << ' ' << net[top] << '\n';
ret[parent.second] = net[top]*2;
sizes[top]--;
sizes[parent.first]--;
net[parent.first] -= net[top];
if(sizes[parent.first] == 1){
leaf.push(parent.first);
}
if(sizes[parent.first] == 0){
removed[parent.first] = true;
}
}
//find the nodes in the last cycle
int left = 0;
vector<int> cycle;
for(int i = 0;i < n;i++){
if(!removed[i]){
left++;
cycle.push_back(i);
}
}
//if there is no cycle we are finished
if(left == 0){
for(int i : ret)
cout << i << ' ';
return;
} else if(left%2 == 0){//even cycle is bad
cout << '0';
return;
}
int curr = cycle[0];
int next;int nextRet;
for(auto i : edge[curr]){
if(!removed[i.first]){
next = i.first;
nextRet = i.second;
}
}
ret[nextRet] += 2*net[cycle[0]];
net[next] -= net[cycle[0]];
net[cycle[0]] = 0;
int last = cycle[0];
curr = next;
while(curr != cycle[0]){
pii next1;
for(auto i : edge[curr]){
if(!removed[i.first] && i.first != last){
next1 = i;
}
}
ret[next1.second] += 2*net[curr];
// cout << next1.second << ' ' << 2*net[curr] << '\n';
net[next1.first] -= net[curr];
net[curr] = 0;
last = curr;
curr = next1.first;
}
if(net[cycle[0]] % 2 != 0){
cout << 0;
return;
}
last = next;
curr = cycle[0];
int plus = 1;
bool firstNode = true;
// cout << '*';
// cout << net[cycle[0]];
while(curr != cycle[0] || firstNode){
pii next1;
for(auto i : edge[curr]){
if(!removed[i.first] && i.first != last){
next1 = i;
}
}
ret[next1.second] += net[cycle[0]]*plus;
// cout << next1.second << ' ' << net[cycle[0]]*plus << '\n';
last = curr;
curr = next1.first;
plus = -plus;
firstNode = false;
}
// cout << "\n*";
for(int i : ret)
cout << i << ' ';
// cout << '\n';
// for(int i : net)
// cout << i << ' ';
}
signed main(){
cin.tie(0);
ios_base::sync_with_stdio(0);
#ifdef DEBUG
freopen("i.txt","r",stdin);
freopen("o.txt","w",stdout);
#endif
int t = 1;
#ifdef TEST
cin >> t;
#endif
while(t--){
solve();
}
return 0;
}
Compilation message
pipes.cpp: In function 'void solve()':
pipes.cpp:96:13: warning: 'nextRet' may be used uninitialized in this function [-Wmaybe-uninitialized]
96 | ret[nextRet] += 2*net[cycle[0]];
| ^
pipes.cpp:102:13: warning: 'next' may be used uninitialized in this function [-Wmaybe-uninitialized]
102 | while(curr != cycle[0]){
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
58 ms |
13256 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
372 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
45 ms |
10572 KB |
Output is correct |
14 |
Correct |
54 ms |
12572 KB |
Output is correct |
15 |
Correct |
57 ms |
13324 KB |
Output is correct |
16 |
Correct |
48 ms |
11340 KB |
Output is correct |
17 |
Correct |
59 ms |
13252 KB |
Output is correct |
18 |
Correct |
58 ms |
13372 KB |
Output is correct |
19 |
Correct |
58 ms |
13012 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
57 ms |
13260 KB |
Output is correct |
23 |
Correct |
44 ms |
10536 KB |
Output is correct |
24 |
Correct |
58 ms |
13344 KB |
Output is correct |
25 |
Correct |
46 ms |
11108 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
468 KB |
Output is correct |
3 |
Correct |
45 ms |
12592 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
0 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
324 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
320 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
320 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
0 ms |
212 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
0 ms |
340 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
47 ms |
11176 KB |
Output is correct |
24 |
Correct |
61 ms |
13616 KB |
Output is correct |
25 |
Correct |
47 ms |
12588 KB |
Output is correct |
26 |
Correct |
0 ms |
340 KB |
Output is correct |
27 |
Correct |
0 ms |
340 KB |
Output is correct |
28 |
Correct |
0 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
336 KB |
Output is correct |
30 |
Correct |
66 ms |
13112 KB |
Output is correct |
31 |
Correct |
69 ms |
13816 KB |
Output is correct |
32 |
Correct |
58 ms |
13352 KB |
Output is correct |
33 |
Correct |
47 ms |
13292 KB |
Output is correct |
34 |
Correct |
0 ms |
340 KB |
Output is correct |
35 |
Correct |
0 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
352 KB |
Output is correct |
37 |
Correct |
0 ms |
340 KB |
Output is correct |
38 |
Correct |
63 ms |
13468 KB |
Output is correct |
39 |
Correct |
64 ms |
13132 KB |
Output is correct |
40 |
Correct |
63 ms |
13580 KB |
Output is correct |
41 |
Correct |
42 ms |
13696 KB |
Output is correct |
42 |
Correct |
1 ms |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
0 ms |
340 KB |
Output is correct |
45 |
Correct |
0 ms |
340 KB |
Output is correct |
46 |
Correct |
65 ms |
13348 KB |
Output is correct |
47 |
Correct |
63 ms |
13616 KB |
Output is correct |
48 |
Correct |
64 ms |
13744 KB |
Output is correct |
49 |
Correct |
46 ms |
12068 KB |
Output is correct |
50 |
Correct |
0 ms |
336 KB |
Output is correct |
51 |
Correct |
0 ms |
340 KB |
Output is correct |
52 |
Correct |
0 ms |
336 KB |
Output is correct |
53 |
Correct |
0 ms |
340 KB |
Output is correct |
54 |
Correct |
63 ms |
13316 KB |
Output is correct |