#include "bits/stdc++.h"
//#pragma GCC optimize("O3")
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<ll,ll>pairll;
typedef long double ld;
#define fr first
#define sc second
#define pb push_back
#define INF 100000000007
#define endl '\n'
#define MOD 998244353
#define A 31
#define N 100007
#define eps 0.000000000001
ll n,m,a[N],b[N],f[N];
ld res[N];
vector<pairll>v[N];
vector<ll>num;
ld S(ll x,ll a1,ll b1,ll y){
if(f[x]==1 && a[x]!=a1){
return ld(b1-b[x])/ld(a[x]-a1);
}else if(f[x]==1 && b[x]!=b1)return -INF;
else if(f[x]==1)return INF;
num.pb(x);
f[x]=1;
a[x]=a1;
b[x]=b1;
for(int i=0;i<v[x].size();i++){
if(v[x][i].fr!=y){
ld r=S(v[x][i].fr,0-a1,v[x][i].sc-b1,x);
if(r!=INF)return r;
}
}
return INF;
}
ll D(ll x,ll y,ld a1){
f[x]=2;
res[x]=a1;
for(auto it:v[x]){
if(it.fr!=y){
if(f[it.fr]==2){
if(abs(a1+res[it.fr]-ld(it.sc))>eps)return 1;
}else{
ll r=D(it.fr,x,ld(it.sc)-a1);
if(r==1)return 1;
}
}
}
return 0;
}
int main(){
cin>>n>>m;
for(int i=1;i<=m;i++){
ll x,y,z;
cin>>x>>y>>z;
v[x].pb({y,z});
v[y].pb({x,z});
}
for(int i=1;i<=n;i++){
if(f[i]==0){
num.clear();
ld x=S(i,1,0,0);
if(x==-INF){
cout<<"NO"<<endl;
return 0;
}else if(x==INF){
ld l=-100;
ld r=100;
ld r1=0;
ld r2=0;
while(r-l>eps){
ld m1=(l+(r-l)/3.0);
ld m2=(r-(r-l)/3.0);
r1=0;
r2=0;
for(auto j:num){
r1+=abs(m1*ld(a[j])+ld(b[j]));
r2+=abs(m2*ld(a[j])+ld(b[j]));
}
if(r1<r2)r=m2;
else l=m1;
}
for(auto j:num){
res[j]=l*ld(a[j])+ld(b[j]);
}
}else{
ll r=D(i,0,x);
if(r==1){
cout<<"NO"<<endl;
return 0;
}
}
}
}
cout<<"YES"<<endl;
for(int i=1;i<=n;i++){
cout<<fixed<<setprecision(10)<<res[i]<<" ";
}
cout<<endl;
return 0;
}
Compilation message
Graph.cpp: In function 'ld S(ll, ll, ll, ll)':
Graph.cpp:38:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
38 | for(int i=0;i<v[x].size();i++){
| ~^~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
answer = YES |
2 |
Correct |
1 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
1 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
1 ms |
2680 KB |
answer = NO |
10 |
Correct |
1 ms |
2644 KB |
answer = YES |
11 |
Correct |
2 ms |
2644 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
1 ms |
2644 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
1 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2644 KB |
answer = YES |
19 |
Correct |
1 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
1 ms |
2644 KB |
answer = YES |
22 |
Correct |
1 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
answer = YES |
2 |
Correct |
1 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
1 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
1 ms |
2680 KB |
answer = NO |
10 |
Correct |
1 ms |
2644 KB |
answer = YES |
11 |
Correct |
2 ms |
2644 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
1 ms |
2644 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
1 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2644 KB |
answer = YES |
19 |
Correct |
1 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
1 ms |
2644 KB |
answer = YES |
22 |
Correct |
1 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 KB |
answer = NO |
24 |
Correct |
2 ms |
2644 KB |
answer = YES |
25 |
Correct |
2 ms |
2644 KB |
answer = YES |
26 |
Correct |
2 ms |
2644 KB |
answer = YES |
27 |
Correct |
2 ms |
2644 KB |
answer = YES |
28 |
Correct |
2 ms |
2644 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2564 KB |
answer = NO |
31 |
Correct |
2 ms |
2644 KB |
answer = YES |
32 |
Correct |
2 ms |
2644 KB |
answer = YES |
33 |
Correct |
2 ms |
2644 KB |
answer = YES |
34 |
Correct |
2 ms |
2644 KB |
answer = YES |
35 |
Correct |
2 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
answer = YES |
2 |
Correct |
1 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
1 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
1 ms |
2680 KB |
answer = NO |
10 |
Correct |
1 ms |
2644 KB |
answer = YES |
11 |
Correct |
2 ms |
2644 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
1 ms |
2644 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
1 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2644 KB |
answer = YES |
19 |
Correct |
1 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
1 ms |
2644 KB |
answer = YES |
22 |
Correct |
1 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 KB |
answer = NO |
24 |
Correct |
2 ms |
2644 KB |
answer = YES |
25 |
Correct |
2 ms |
2644 KB |
answer = YES |
26 |
Correct |
2 ms |
2644 KB |
answer = YES |
27 |
Correct |
2 ms |
2644 KB |
answer = YES |
28 |
Correct |
2 ms |
2644 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2564 KB |
answer = NO |
31 |
Correct |
2 ms |
2644 KB |
answer = YES |
32 |
Correct |
2 ms |
2644 KB |
answer = YES |
33 |
Correct |
2 ms |
2644 KB |
answer = YES |
34 |
Correct |
2 ms |
2644 KB |
answer = YES |
35 |
Correct |
2 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
37 |
Correct |
2 ms |
2644 KB |
answer = YES |
38 |
Correct |
2 ms |
2644 KB |
answer = YES |
39 |
Correct |
2 ms |
2644 KB |
answer = YES |
40 |
Correct |
3 ms |
2772 KB |
answer = YES |
41 |
Correct |
2 ms |
2644 KB |
answer = NO |
42 |
Correct |
3 ms |
2772 KB |
answer = YES |
43 |
Correct |
3 ms |
2772 KB |
answer = YES |
44 |
Correct |
3 ms |
2772 KB |
answer = YES |
45 |
Correct |
3 ms |
2772 KB |
answer = YES |
46 |
Correct |
2 ms |
2644 KB |
answer = YES |
47 |
Correct |
3 ms |
2772 KB |
answer = YES |
48 |
Correct |
3 ms |
2772 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
answer = YES |
2 |
Correct |
1 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
1 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
1 ms |
2680 KB |
answer = NO |
10 |
Correct |
1 ms |
2644 KB |
answer = YES |
11 |
Correct |
2 ms |
2644 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
1 ms |
2644 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
1 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2644 KB |
answer = YES |
19 |
Correct |
1 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
1 ms |
2644 KB |
answer = YES |
22 |
Correct |
1 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 KB |
answer = NO |
24 |
Correct |
2 ms |
2644 KB |
answer = YES |
25 |
Correct |
2 ms |
2644 KB |
answer = YES |
26 |
Correct |
2 ms |
2644 KB |
answer = YES |
27 |
Correct |
2 ms |
2644 KB |
answer = YES |
28 |
Correct |
2 ms |
2644 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2564 KB |
answer = NO |
31 |
Correct |
2 ms |
2644 KB |
answer = YES |
32 |
Correct |
2 ms |
2644 KB |
answer = YES |
33 |
Correct |
2 ms |
2644 KB |
answer = YES |
34 |
Correct |
2 ms |
2644 KB |
answer = YES |
35 |
Correct |
2 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
37 |
Correct |
2 ms |
2644 KB |
answer = YES |
38 |
Correct |
2 ms |
2644 KB |
answer = YES |
39 |
Correct |
2 ms |
2644 KB |
answer = YES |
40 |
Correct |
3 ms |
2772 KB |
answer = YES |
41 |
Correct |
2 ms |
2644 KB |
answer = NO |
42 |
Correct |
3 ms |
2772 KB |
answer = YES |
43 |
Correct |
3 ms |
2772 KB |
answer = YES |
44 |
Correct |
3 ms |
2772 KB |
answer = YES |
45 |
Correct |
3 ms |
2772 KB |
answer = YES |
46 |
Correct |
2 ms |
2644 KB |
answer = YES |
47 |
Correct |
3 ms |
2772 KB |
answer = YES |
48 |
Correct |
3 ms |
2772 KB |
answer = YES |
49 |
Correct |
16 ms |
3924 KB |
answer = YES |
50 |
Correct |
15 ms |
4308 KB |
answer = YES |
51 |
Correct |
17 ms |
4192 KB |
answer = YES |
52 |
Correct |
8 ms |
3440 KB |
answer = NO |
53 |
Correct |
3 ms |
2772 KB |
answer = YES |
54 |
Correct |
6 ms |
2900 KB |
answer = YES |
55 |
Correct |
9 ms |
3284 KB |
answer = YES |
56 |
Correct |
16 ms |
3796 KB |
answer = YES |
57 |
Correct |
17 ms |
3652 KB |
answer = YES |
58 |
Correct |
15 ms |
3644 KB |
answer = YES |
59 |
Correct |
14 ms |
3604 KB |
answer = YES |
60 |
Correct |
18 ms |
3796 KB |
answer = YES |
61 |
Correct |
8 ms |
3284 KB |
answer = YES |
62 |
Correct |
131 ms |
12040 KB |
answer = NO |
63 |
Correct |
138 ms |
12668 KB |
answer = YES |
64 |
Correct |
140 ms |
12748 KB |
answer = NO |
65 |
Correct |
148 ms |
12688 KB |
answer = YES |
66 |
Correct |
5 ms |
2900 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
2644 KB |
answer = YES |
2 |
Correct |
1 ms |
2644 KB |
answer = YES |
3 |
Correct |
2 ms |
2644 KB |
answer = YES |
4 |
Correct |
2 ms |
2644 KB |
answer = NO |
5 |
Correct |
1 ms |
2644 KB |
answer = YES |
6 |
Correct |
2 ms |
2644 KB |
answer = YES |
7 |
Correct |
2 ms |
2644 KB |
answer = YES |
8 |
Correct |
2 ms |
2644 KB |
answer = YES |
9 |
Correct |
1 ms |
2680 KB |
answer = NO |
10 |
Correct |
1 ms |
2644 KB |
answer = YES |
11 |
Correct |
2 ms |
2644 KB |
answer = YES |
12 |
Correct |
2 ms |
2644 KB |
answer = NO |
13 |
Correct |
2 ms |
2644 KB |
answer = YES |
14 |
Correct |
1 ms |
2644 KB |
answer = YES |
15 |
Correct |
2 ms |
2644 KB |
answer = YES |
16 |
Correct |
2 ms |
2644 KB |
answer = YES |
17 |
Correct |
1 ms |
2644 KB |
answer = YES |
18 |
Correct |
2 ms |
2644 KB |
answer = YES |
19 |
Correct |
1 ms |
2644 KB |
answer = YES |
20 |
Correct |
2 ms |
2644 KB |
answer = YES |
21 |
Correct |
1 ms |
2644 KB |
answer = YES |
22 |
Correct |
1 ms |
2644 KB |
answer = NO |
23 |
Correct |
1 ms |
2644 KB |
answer = NO |
24 |
Correct |
2 ms |
2644 KB |
answer = YES |
25 |
Correct |
2 ms |
2644 KB |
answer = YES |
26 |
Correct |
2 ms |
2644 KB |
answer = YES |
27 |
Correct |
2 ms |
2644 KB |
answer = YES |
28 |
Correct |
2 ms |
2644 KB |
answer = YES |
29 |
Correct |
2 ms |
2644 KB |
answer = YES |
30 |
Correct |
2 ms |
2564 KB |
answer = NO |
31 |
Correct |
2 ms |
2644 KB |
answer = YES |
32 |
Correct |
2 ms |
2644 KB |
answer = YES |
33 |
Correct |
2 ms |
2644 KB |
answer = YES |
34 |
Correct |
2 ms |
2644 KB |
answer = YES |
35 |
Correct |
2 ms |
2644 KB |
answer = YES |
36 |
Correct |
2 ms |
2644 KB |
answer = YES |
37 |
Correct |
2 ms |
2644 KB |
answer = YES |
38 |
Correct |
2 ms |
2644 KB |
answer = YES |
39 |
Correct |
2 ms |
2644 KB |
answer = YES |
40 |
Correct |
3 ms |
2772 KB |
answer = YES |
41 |
Correct |
2 ms |
2644 KB |
answer = NO |
42 |
Correct |
3 ms |
2772 KB |
answer = YES |
43 |
Correct |
3 ms |
2772 KB |
answer = YES |
44 |
Correct |
3 ms |
2772 KB |
answer = YES |
45 |
Correct |
3 ms |
2772 KB |
answer = YES |
46 |
Correct |
2 ms |
2644 KB |
answer = YES |
47 |
Correct |
3 ms |
2772 KB |
answer = YES |
48 |
Correct |
3 ms |
2772 KB |
answer = YES |
49 |
Correct |
16 ms |
3924 KB |
answer = YES |
50 |
Correct |
15 ms |
4308 KB |
answer = YES |
51 |
Correct |
17 ms |
4192 KB |
answer = YES |
52 |
Correct |
8 ms |
3440 KB |
answer = NO |
53 |
Correct |
3 ms |
2772 KB |
answer = YES |
54 |
Correct |
6 ms |
2900 KB |
answer = YES |
55 |
Correct |
9 ms |
3284 KB |
answer = YES |
56 |
Correct |
16 ms |
3796 KB |
answer = YES |
57 |
Correct |
17 ms |
3652 KB |
answer = YES |
58 |
Correct |
15 ms |
3644 KB |
answer = YES |
59 |
Correct |
14 ms |
3604 KB |
answer = YES |
60 |
Correct |
18 ms |
3796 KB |
answer = YES |
61 |
Correct |
8 ms |
3284 KB |
answer = YES |
62 |
Correct |
131 ms |
12040 KB |
answer = NO |
63 |
Correct |
138 ms |
12668 KB |
answer = YES |
64 |
Correct |
140 ms |
12748 KB |
answer = NO |
65 |
Correct |
148 ms |
12688 KB |
answer = YES |
66 |
Correct |
5 ms |
2900 KB |
answer = YES |
67 |
Correct |
171 ms |
19828 KB |
answer = YES |
68 |
Correct |
162 ms |
20976 KB |
answer = YES |
69 |
Correct |
135 ms |
22644 KB |
answer = YES |
70 |
Correct |
211 ms |
30268 KB |
answer = YES |
71 |
Correct |
139 ms |
22596 KB |
answer = YES |
72 |
Correct |
181 ms |
15292 KB |
answer = YES |
73 |
Correct |
175 ms |
14752 KB |
answer = YES |
74 |
Correct |
115 ms |
14408 KB |
answer = YES |
75 |
Correct |
58 ms |
10044 KB |
answer = NO |
76 |
Correct |
22 ms |
4140 KB |
answer = YES |
77 |
Correct |
42 ms |
5744 KB |
answer = YES |
78 |
Correct |
79 ms |
8140 KB |
answer = YES |
79 |
Correct |
159 ms |
13364 KB |
answer = YES |
80 |
Correct |
126 ms |
13868 KB |
answer = YES |
81 |
Correct |
104 ms |
17120 KB |
answer = NO |
82 |
Correct |
177 ms |
21668 KB |
answer = YES |
83 |
Correct |
201 ms |
23316 KB |
answer = YES |
84 |
Correct |
224 ms |
21608 KB |
answer = YES |
85 |
Correct |
169 ms |
21084 KB |
answer = YES |
86 |
Correct |
163 ms |
22664 KB |
answer = YES |
87 |
Correct |
130 ms |
15204 KB |
answer = NO |
88 |
Correct |
199 ms |
18272 KB |
answer = YES |
89 |
Correct |
185 ms |
13868 KB |
answer = YES |
90 |
Correct |
164 ms |
13852 KB |
answer = YES |
91 |
Correct |
173 ms |
14412 KB |
answer = YES |
92 |
Correct |
75 ms |
8768 KB |
answer = YES |
93 |
Correct |
69 ms |
8712 KB |
answer = YES |
94 |
Correct |
112 ms |
18692 KB |
answer = NO |
95 |
Correct |
99 ms |
12996 KB |
answer = NO |
96 |
Correct |
293 ms |
25620 KB |
answer = YES |
97 |
Correct |
89 ms |
18116 KB |
answer = NO |