This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
#define FOR(i, a, b) for(int i = a; i <= b; ++i)
#define FORD(i, a, b) for(int i = b; i >= a; --i)
#define REP(i, a, b) for(int i = a; i < b; ++i)
#define REPD(i, a, b) for(int i = b; i > a; -- i)
#define ALL(v) v.begin(),v.end()
#define next __next
#define left __left
#define right __right
#define prev __prev
const int MOD[6] = {(int)1e9 + 7, (int)1e9 + 2277, (int)1e9 + 5277, (int)1e9 + 8277, (int)1e9 + 9277, 998244353};
const int BASE[6] = {23309, 300, 330, 280, 2309, 256};
const int base = BASE[0];
const int mod = MOD[0];
void add(int &u, int v){
u += v;
if(u >= mod) u -= mod;
}
void sub(int &u, int v){
u -= v;
if(u < 0) u += mod;
}
void minimize(int &u, int v){
if(u > v) u = v;
}
void maximize(int &u, int v){
if(u < v) u = v;
}
void minimizell(long long &u, long long v){
if(u > v) u = v;
}
void maximizell(long long &u, long long v){
if(u < v) u = v;
}
const int maxN = 1e5 + 2;
const int maxM = 5e5 + 2;
const int maxK = 1e2 + 2;
const int INF = 1e9 + 8;
const long long INFLL = 1e18;
const int LOG = 16;
int N, M;
#define int long long
vector<pair<int, int>> adj[maxN];
pair<int, int> edge[maxM];
int deg[maxN];
bool del[maxN];
queue<int> listSource;
int res[maxM], c[maxN];
int st, ed, firstEdge;
int listEdge[maxN];
int node[maxN];
int cnt = 0;
void Dfs1(int u, int p){
for(pair<int, int> x : adj[u]){
int v = x.fi;
if(v != p){
Dfs1(v, u);
res[x.second] = 2 * c[v];
c[u] -= c[v];
}
}
}
void Dfs2(int u, int p, int id){
node[++cnt] = u;
listEdge[cnt] = id;
if(u == ed){
res[firstEdge] = c[st];
int d = 1;
FOR(i, 2, cnt){
res[firstEdge] += d * c[node[i]];
d *= -1;
}
FOR(i, 2, cnt){
res[i] = 2 * node[i - 1] - res[i - 1];
}
FOR(i, 1, M)cout << res[i] << "\n";
exit(0);
}
for(pair<int, int> x : adj[u]){
int v = x.fi;
if(v == p)continue;
Dfs2(v, u, x.second);
}
--cnt;
}
int32_t main(){
//freopen(".INP", "r", stdin);
//freopen(".OUT", "w", stdout);
//freopen(".INP", "w", stdout);
//freopen(".ANS", "w", stdout);
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin >> N >> M;
FOR(i, 1, N)cin >> c[i];
FOR(i, 1, M){
int u, v;
cin >> u >> v;
edge[i] = make_pair(u, v);
adj[u].push_back({v, i});
adj[v].push_back({u, i});
deg[u]++;
deg[v]++;
}
if(M > N){
cout << 0;
return 0;
}
if(M == N - 1){
Dfs1(1, 0);
FOR(i, 1, M)cout << res[i] << '\n';
return 0;
}
FOR(i, 1, N)if(deg[i] == 1){
if(deg[i] == 1){
listSource.push(i);
del[i] = true;
}
}
while(!listSource.empty()){
int u = listSource.front();
listSource.pop();
for(pair<int, int> x : adj[u]){
int v = x.fi;
if(del[v])continue;
c[v] -= c[u];
res[x.se] = 2 * c[u];
deg[v]--;
if(deg[v] == 1){
del[v] = true;
listSource.push(v);
}
}
}
int cnt = 0;
FOR(i, 1, N)if(del[i] == 0)++cnt;
if((cnt & 1) == 0){
cout << 0;
return 0;
}
FOR(i, 1, M){
int u = edge[i].fi, v = edge[i].se;
if(del[u] == false && del[v] == false){
st = u;
firstEdge = i;
break;
}
}
Dfs2(st, ed, firstEdge);
return 0;
}
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