#include <bits/stdc++.h>
using namespace std;
#define sz(v) ((int)((v).size()))
#define all(v) (v).begin(), (v).end()
#define pb push_back
#define coord_comp(v) sort(all(v)), v.erase(unique(all(v)), v.end())
#define v_index(v, x) (lower_bound(all(v),x)-(v).begin())
typedef pair<int,int> pp;
typedef long long ll;
void read(int& x){ scanf("%d",&x); }
void read(ll& x){ scanf("%lld",&x); }
template<typename T1,typename T2>
void read(pair<T1,T2>& p){ read(p.first); read(p.second); }
template<typename T,typename... Args>
void read(T&a,Args&...b){ read(a); read(b...); }
int n,m;
int net[100010];
int net_orig[100010];
vector<pp> edge[100010];
ll ans[100010];
int deg[100010];
bool validate(){
int cur[n+1];
for(int i=1; i<=n; ++i) cur[i]=0;
for(int i=1; i<=n; ++i){
for(auto& pi:edge[i]){
cur[i] += ans[pi.second];
}
if(cur[i] != net_orig[i]) return false;
}
return true;
}
int getOnes(){
queue<int> ones;
for(int i=1; i<=n; ++i){
if(deg[i] == 1u){
ones.push(i);
}
}
int vises = 0;
while(ones.size()){
int x=ones.front(); ones.pop();
++vises;
if(deg[x] != 1) continue;
--deg[x];
for(auto& pi:edge[x]){
int y, ei;
tie(y, ei)=pi;
if(deg[y] == 0) continue;
--deg[y];
if(deg[y] == 1) ones.push(y);
ans[ei] = net[x];
net[y] -= net[x];
}
}
return vises;
}
int nxtA[100001];
int nxtB[100001];
int adjS[100001];
int adjP[100001];
int hist[100001];
int nxti[100001];
int main(){
read(n,m);
if(m>n){
puts("0");
return 0;
}
for(int i=1; i<=n; ++i) read(net[i]), net_orig[i]=net[i];
for(int i=0; i<m; ++i){
int a,b; read(a,b);
edge[a].pb({b,i});
edge[b].pb({a,i});
++deg[a]; ++deg[b];
}
int one_rem = getOnes();
if(n == one_rem){
for(int i=0; i<m; ++i) printf("%lld\n", ans[i]*2);
return 0;
}
int sp = -1;
for(int i=1; i<=n; ++i) if(deg[i]){
for(auto& pi:edge[i]){
int y=pi.first;
if(deg[y]){
adjS[i] += y;
adjP[i] = y;
}
}
sp=i;
}
vector<int> hist, hii;
for(int i=sp, j=adjP[sp];;){
hist.pb(i);
for(auto& pi : edge[i]) if(pi.first == j){
hii.pb(pi.second);
}
int tmp = i;
i = j;
j = adjS[j] - tmp;
if(i == sp) break;
}
if(hist.size() != hii.size()) for(;;);
int h = hist.size();
if((n-one_rem) % 2 == 1){
nxtA[0]=1; nxtB[0]=0;
for(int i=1; i<h; ++i){
nxtA[i] = -nxtA[i-1];
nxtB[i] = net[hist[i]] - nxtB[i-1];
}
ll yco = net[hist[0]] - nxtB[h-1];
int xco = nxtA[h-1]+1;
ll x = yco/xco;
for(int i=0; i<h; ++i){
ans[hii[i]] = nxtA[i]*x + nxtB[i];
}
if(!validate()){
puts("0"); return 0;
}
for(int i=0; i<m; ++i) printf("%lld\n", ans[i]*2);
return 0;
} else {
puts("0");
}
return 0;
}
Compilation message
pipes.cpp: In function 'void read(int&)':
pipes.cpp:10:25: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
void read(int& x){ scanf("%d",&x); }
~~~~~^~~~~~~~~
pipes.cpp: In function 'void read(ll&)':
pipes.cpp:11:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
void read(ll& x){ scanf("%lld",&x); }
~~~~~^~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
2680 KB |
Output is correct |
2 |
Correct |
5 ms |
2836 KB |
Output is correct |
3 |
Correct |
7 ms |
2836 KB |
Output is correct |
4 |
Correct |
115 ms |
10728 KB |
Output is correct |
5 |
Correct |
5 ms |
10728 KB |
Output is correct |
6 |
Correct |
5 ms |
10728 KB |
Output is correct |
7 |
Correct |
5 ms |
10728 KB |
Output is correct |
8 |
Correct |
4 ms |
10728 KB |
Output is correct |
9 |
Correct |
5 ms |
10728 KB |
Output is correct |
10 |
Correct |
5 ms |
10728 KB |
Output is correct |
11 |
Correct |
6 ms |
10728 KB |
Output is correct |
12 |
Correct |
5 ms |
10728 KB |
Output is correct |
13 |
Correct |
86 ms |
10916 KB |
Output is correct |
14 |
Correct |
101 ms |
13280 KB |
Output is correct |
15 |
Correct |
130 ms |
15328 KB |
Output is correct |
16 |
Correct |
111 ms |
15732 KB |
Output is correct |
17 |
Correct |
105 ms |
18096 KB |
Output is correct |
18 |
Correct |
115 ms |
19916 KB |
Output is correct |
19 |
Correct |
93 ms |
20692 KB |
Output is correct |
20 |
Correct |
4 ms |
20692 KB |
Output is correct |
21 |
Correct |
5 ms |
20692 KB |
Output is correct |
22 |
Correct |
103 ms |
22968 KB |
Output is correct |
23 |
Correct |
94 ms |
22968 KB |
Output is correct |
24 |
Correct |
146 ms |
25988 KB |
Output is correct |
25 |
Correct |
146 ms |
26000 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
26000 KB |
Output is correct |
2 |
Correct |
5 ms |
26000 KB |
Output is correct |
3 |
Correct |
96 ms |
28772 KB |
Output is correct |
4 |
Correct |
4 ms |
28772 KB |
Output is correct |
5 |
Correct |
9 ms |
28772 KB |
Output is correct |
6 |
Correct |
5 ms |
28772 KB |
Output is correct |
7 |
Correct |
6 ms |
28772 KB |
Output is correct |
8 |
Correct |
4 ms |
28772 KB |
Output is correct |
9 |
Correct |
5 ms |
28772 KB |
Output is correct |
10 |
Correct |
4 ms |
28772 KB |
Output is correct |
11 |
Correct |
4 ms |
28772 KB |
Output is correct |
12 |
Correct |
5 ms |
28772 KB |
Output is correct |
13 |
Correct |
5 ms |
28772 KB |
Output is correct |
14 |
Correct |
5 ms |
28772 KB |
Output is correct |
15 |
Correct |
6 ms |
28772 KB |
Output is correct |
16 |
Correct |
5 ms |
28772 KB |
Output is correct |
17 |
Correct |
6 ms |
28772 KB |
Output is correct |
18 |
Correct |
5 ms |
28772 KB |
Output is correct |
19 |
Correct |
4 ms |
28772 KB |
Output is correct |
20 |
Correct |
5 ms |
28772 KB |
Output is correct |
21 |
Correct |
4 ms |
28772 KB |
Output is correct |
22 |
Correct |
7 ms |
28772 KB |
Output is correct |
23 |
Correct |
93 ms |
30440 KB |
Output is correct |
24 |
Correct |
115 ms |
33396 KB |
Output is correct |
25 |
Correct |
96 ms |
33464 KB |
Output is correct |
26 |
Correct |
5 ms |
33464 KB |
Output is correct |
27 |
Correct |
5 ms |
33464 KB |
Output is correct |
28 |
Correct |
4 ms |
33464 KB |
Output is correct |
29 |
Correct |
4 ms |
33464 KB |
Output is correct |
30 |
Correct |
134 ms |
36016 KB |
Output is correct |
31 |
Correct |
121 ms |
38428 KB |
Output is correct |
32 |
Correct |
117 ms |
39364 KB |
Output is correct |
33 |
Correct |
99 ms |
39948 KB |
Output is correct |
34 |
Correct |
5 ms |
39948 KB |
Output is correct |
35 |
Correct |
5 ms |
39948 KB |
Output is correct |
36 |
Correct |
4 ms |
39948 KB |
Output is correct |
37 |
Correct |
4 ms |
39948 KB |
Output is correct |
38 |
Correct |
125 ms |
42696 KB |
Output is correct |
39 |
Correct |
114 ms |
44000 KB |
Output is correct |
40 |
Correct |
136 ms |
46004 KB |
Output is correct |
41 |
Correct |
91 ms |
46456 KB |
Output is correct |
42 |
Correct |
4 ms |
46456 KB |
Output is correct |
43 |
Correct |
5 ms |
46456 KB |
Output is correct |
44 |
Correct |
5 ms |
46456 KB |
Output is correct |
45 |
Correct |
5 ms |
46456 KB |
Output is correct |
46 |
Correct |
121 ms |
48860 KB |
Output is correct |
47 |
Correct |
114 ms |
50736 KB |
Output is correct |
48 |
Correct |
121 ms |
52780 KB |
Output is correct |
49 |
Correct |
90 ms |
52780 KB |
Output is correct |
50 |
Correct |
4 ms |
52780 KB |
Output is correct |
51 |
Correct |
4 ms |
52780 KB |
Output is correct |
52 |
Correct |
5 ms |
52780 KB |
Output is correct |
53 |
Correct |
5 ms |
52780 KB |
Output is correct |
54 |
Correct |
120 ms |
55080 KB |
Output is correct |