#include <bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using ordered_map = tree<T, U, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
#define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
#define FORD(i,j,k,in) for(int i=(j); i >=(k);i-=in)
#define REP(i,b) FOR(i,0,b,1)
#define REPD(i,b) FORD(i,b,0,1)
#define pb push_back
#define mp make_pair
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define MANY_TESTS int tcase; cin >> tcase; while(tcase--)
const double EPS = 1e-9;
const int MOD = 1e9+7;
const ll INFF = 1e18;
const int INF = 1e9;
const ld PI = acos((ld)-1);
const vi dy = {1, 0, -1, 0, -1, 1, 1, -1};
const vi dx = {0, 1, 0, -1, -1, 1, -1, 1};
void DBG(){cout << "]" << endl;}
template<typename T, typename ...U> void DBG(const T& head, const U... args){ cout << head << "; "; DBG(args...); }
#define dbg(...) cout << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__);
#define chk() cout << "Check at line(" << __LINE__ << ") hit." << endl;
template<class T, unsigned int U>
ostream& operator<<(ostream& out, const array<T, U> &v){out << "["; REP(i, U) out << v[i] << ", "; out << "]"; return out;}
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "[" << par.first << ";" << par.second << "]"; return out;}
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template<class T>
ostream& operator<<(ostream& out, const vector<T> &v){ out << "["; REP(i, v.size()) out << v[i] << ", "; out << "]"; return out;}
template<class T>
istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; }
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
int n, m;
cin >> n >> m;
vector<vector<array<int, 2>>> g(n);
vector<array<int, 3>> edges(m);
REP(i, m){
int a, b, c;
cin >> a >> b >> c;
a--; b--;
g[a].pb({b, 2 * c});
g[b].pb({a, 2 * c});
edges[i] = {a, b, 2 * c};
}
vector<int> comp(n, -1);
function<void(int, int)> dfs = [&](int v, int id){
comp[v] = id;
for(auto x : g[v]) {
if(comp[x[0]] == -1)
dfs(x[0], id);
}
};
int curr = 0;
REP(i, n){
if(comp[i] == -1){
dfs(i, curr);
curr++;
}
}
vector<vector<array<int, 3>>> component_edges(curr);
REP(i, m){
component_edges[comp[edges[i][0]]].pb(edges[i]);
}
vector<vector<int>> component_vertices(curr);
REP(i, n) component_vertices[comp[i]].pb(i);
vector<int> repr(curr, -1);
REP(i, n) repr[comp[i]] = i;
vector<int> ans(n, INF);
auto go = [&](int s, int val, bool removing){
ans[s] = val;
queue<int> q;
q.push(s);
while(!q.empty()){
int v = q.front();
q.pop();
for(auto x : g[v]){
if(ans[x[0]] == INF){
ans[x[0]] = x[1] - ans[v];
q.push(x[0]);
}
}
}
bool correct = true;
int co = comp[s];
for(auto e : component_edges[co]){
if(ans[e[0]] + ans[e[1]] != e[2])
correct = false;
}
int res = 0;
for(int x : component_vertices[co])
res += abs(ans[x]);
if(removing){
for(int x : component_vertices[co])
ans[x] = INF;
}
if(!correct)
return INF;
return res;
};
bool possible = true;
REP(i, curr){
int mini_val = INF;
int mini_res = INF;
FOR(j, -8, 9, 1){
int tmp_res = go(repr[i], j, true);
if(tmp_res < mini_res){
mini_res = tmp_res;
mini_val = j;
}
}
if(mini_res == INF)
possible = false;
go(repr[i], mini_val, false);
}
if(!possible){
cout << "NO" << "\n";
}
else{
cout << "YES" << "\n";
REP(i, n){
if(abs(ans[i] % 2) == 0){
cout << ans[i] / 2;
}
else{
string sign = (ans[i] < 0 ? "-" : "");
cout << sign << abs(ans[i]) / 2 << ".5";
}
cout << (i == n - 1 ? "\n" : " ");
}
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
answer = YES |
2 |
Correct |
1 ms |
364 KB |
answer = YES |
3 |
Correct |
1 ms |
364 KB |
answer = YES |
4 |
Correct |
0 ms |
364 KB |
answer = NO |
5 |
Correct |
1 ms |
364 KB |
answer = YES |
6 |
Correct |
1 ms |
364 KB |
answer = YES |
7 |
Correct |
1 ms |
364 KB |
answer = YES |
8 |
Correct |
0 ms |
364 KB |
answer = YES |
9 |
Correct |
1 ms |
364 KB |
answer = NO |
10 |
Correct |
0 ms |
364 KB |
answer = YES |
11 |
Correct |
1 ms |
364 KB |
answer = YES |
12 |
Correct |
1 ms |
364 KB |
answer = NO |
13 |
Correct |
1 ms |
364 KB |
answer = YES |
14 |
Correct |
1 ms |
384 KB |
answer = YES |
15 |
Correct |
1 ms |
364 KB |
answer = YES |
16 |
Correct |
0 ms |
364 KB |
answer = YES |
17 |
Correct |
0 ms |
364 KB |
answer = YES |
18 |
Correct |
0 ms |
364 KB |
answer = YES |
19 |
Correct |
1 ms |
364 KB |
answer = YES |
20 |
Correct |
0 ms |
364 KB |
answer = YES |
21 |
Correct |
0 ms |
364 KB |
answer = YES |
22 |
Correct |
1 ms |
364 KB |
answer = NO |
23 |
Correct |
1 ms |
364 KB |
answer = NO |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
answer = YES |
2 |
Correct |
1 ms |
364 KB |
answer = YES |
3 |
Correct |
1 ms |
364 KB |
answer = YES |
4 |
Correct |
0 ms |
364 KB |
answer = NO |
5 |
Correct |
1 ms |
364 KB |
answer = YES |
6 |
Correct |
1 ms |
364 KB |
answer = YES |
7 |
Correct |
1 ms |
364 KB |
answer = YES |
8 |
Correct |
0 ms |
364 KB |
answer = YES |
9 |
Correct |
1 ms |
364 KB |
answer = NO |
10 |
Correct |
0 ms |
364 KB |
answer = YES |
11 |
Correct |
1 ms |
364 KB |
answer = YES |
12 |
Correct |
1 ms |
364 KB |
answer = NO |
13 |
Correct |
1 ms |
364 KB |
answer = YES |
14 |
Correct |
1 ms |
384 KB |
answer = YES |
15 |
Correct |
1 ms |
364 KB |
answer = YES |
16 |
Correct |
0 ms |
364 KB |
answer = YES |
17 |
Correct |
0 ms |
364 KB |
answer = YES |
18 |
Correct |
0 ms |
364 KB |
answer = YES |
19 |
Correct |
1 ms |
364 KB |
answer = YES |
20 |
Correct |
0 ms |
364 KB |
answer = YES |
21 |
Correct |
0 ms |
364 KB |
answer = YES |
22 |
Correct |
1 ms |
364 KB |
answer = NO |
23 |
Correct |
1 ms |
364 KB |
answer = NO |
24 |
Correct |
1 ms |
364 KB |
answer = YES |
25 |
Correct |
1 ms |
364 KB |
answer = YES |
26 |
Correct |
1 ms |
364 KB |
answer = YES |
27 |
Correct |
1 ms |
364 KB |
answer = YES |
28 |
Correct |
1 ms |
364 KB |
answer = YES |
29 |
Correct |
1 ms |
364 KB |
answer = YES |
30 |
Correct |
1 ms |
364 KB |
answer = NO |
31 |
Correct |
1 ms |
364 KB |
answer = YES |
32 |
Correct |
1 ms |
364 KB |
answer = YES |
33 |
Correct |
1 ms |
364 KB |
answer = YES |
34 |
Correct |
1 ms |
364 KB |
answer = YES |
35 |
Correct |
1 ms |
364 KB |
answer = YES |
36 |
Correct |
1 ms |
364 KB |
answer = YES |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
answer = YES |
2 |
Correct |
1 ms |
364 KB |
answer = YES |
3 |
Correct |
1 ms |
364 KB |
answer = YES |
4 |
Correct |
0 ms |
364 KB |
answer = NO |
5 |
Correct |
1 ms |
364 KB |
answer = YES |
6 |
Correct |
1 ms |
364 KB |
answer = YES |
7 |
Correct |
1 ms |
364 KB |
answer = YES |
8 |
Correct |
0 ms |
364 KB |
answer = YES |
9 |
Correct |
1 ms |
364 KB |
answer = NO |
10 |
Correct |
0 ms |
364 KB |
answer = YES |
11 |
Correct |
1 ms |
364 KB |
answer = YES |
12 |
Correct |
1 ms |
364 KB |
answer = NO |
13 |
Correct |
1 ms |
364 KB |
answer = YES |
14 |
Correct |
1 ms |
384 KB |
answer = YES |
15 |
Correct |
1 ms |
364 KB |
answer = YES |
16 |
Correct |
0 ms |
364 KB |
answer = YES |
17 |
Correct |
0 ms |
364 KB |
answer = YES |
18 |
Correct |
0 ms |
364 KB |
answer = YES |
19 |
Correct |
1 ms |
364 KB |
answer = YES |
20 |
Correct |
0 ms |
364 KB |
answer = YES |
21 |
Correct |
0 ms |
364 KB |
answer = YES |
22 |
Correct |
1 ms |
364 KB |
answer = NO |
23 |
Correct |
1 ms |
364 KB |
answer = NO |
24 |
Correct |
1 ms |
364 KB |
answer = YES |
25 |
Correct |
1 ms |
364 KB |
answer = YES |
26 |
Correct |
1 ms |
364 KB |
answer = YES |
27 |
Correct |
1 ms |
364 KB |
answer = YES |
28 |
Correct |
1 ms |
364 KB |
answer = YES |
29 |
Correct |
1 ms |
364 KB |
answer = YES |
30 |
Correct |
1 ms |
364 KB |
answer = NO |
31 |
Correct |
1 ms |
364 KB |
answer = YES |
32 |
Correct |
1 ms |
364 KB |
answer = YES |
33 |
Correct |
1 ms |
364 KB |
answer = YES |
34 |
Correct |
1 ms |
364 KB |
answer = YES |
35 |
Correct |
1 ms |
364 KB |
answer = YES |
36 |
Correct |
1 ms |
364 KB |
answer = YES |
37 |
Correct |
1 ms |
364 KB |
answer = YES |
38 |
Correct |
1 ms |
364 KB |
answer = YES |
39 |
Correct |
1 ms |
364 KB |
answer = YES |
40 |
Correct |
1 ms |
492 KB |
answer = YES |
41 |
Correct |
1 ms |
492 KB |
answer = NO |
42 |
Incorrect |
1 ms |
492 KB |
participant answer is larger than the answer of jury |
43 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
answer = YES |
2 |
Correct |
1 ms |
364 KB |
answer = YES |
3 |
Correct |
1 ms |
364 KB |
answer = YES |
4 |
Correct |
0 ms |
364 KB |
answer = NO |
5 |
Correct |
1 ms |
364 KB |
answer = YES |
6 |
Correct |
1 ms |
364 KB |
answer = YES |
7 |
Correct |
1 ms |
364 KB |
answer = YES |
8 |
Correct |
0 ms |
364 KB |
answer = YES |
9 |
Correct |
1 ms |
364 KB |
answer = NO |
10 |
Correct |
0 ms |
364 KB |
answer = YES |
11 |
Correct |
1 ms |
364 KB |
answer = YES |
12 |
Correct |
1 ms |
364 KB |
answer = NO |
13 |
Correct |
1 ms |
364 KB |
answer = YES |
14 |
Correct |
1 ms |
384 KB |
answer = YES |
15 |
Correct |
1 ms |
364 KB |
answer = YES |
16 |
Correct |
0 ms |
364 KB |
answer = YES |
17 |
Correct |
0 ms |
364 KB |
answer = YES |
18 |
Correct |
0 ms |
364 KB |
answer = YES |
19 |
Correct |
1 ms |
364 KB |
answer = YES |
20 |
Correct |
0 ms |
364 KB |
answer = YES |
21 |
Correct |
0 ms |
364 KB |
answer = YES |
22 |
Correct |
1 ms |
364 KB |
answer = NO |
23 |
Correct |
1 ms |
364 KB |
answer = NO |
24 |
Correct |
1 ms |
364 KB |
answer = YES |
25 |
Correct |
1 ms |
364 KB |
answer = YES |
26 |
Correct |
1 ms |
364 KB |
answer = YES |
27 |
Correct |
1 ms |
364 KB |
answer = YES |
28 |
Correct |
1 ms |
364 KB |
answer = YES |
29 |
Correct |
1 ms |
364 KB |
answer = YES |
30 |
Correct |
1 ms |
364 KB |
answer = NO |
31 |
Correct |
1 ms |
364 KB |
answer = YES |
32 |
Correct |
1 ms |
364 KB |
answer = YES |
33 |
Correct |
1 ms |
364 KB |
answer = YES |
34 |
Correct |
1 ms |
364 KB |
answer = YES |
35 |
Correct |
1 ms |
364 KB |
answer = YES |
36 |
Correct |
1 ms |
364 KB |
answer = YES |
37 |
Correct |
1 ms |
364 KB |
answer = YES |
38 |
Correct |
1 ms |
364 KB |
answer = YES |
39 |
Correct |
1 ms |
364 KB |
answer = YES |
40 |
Correct |
1 ms |
492 KB |
answer = YES |
41 |
Correct |
1 ms |
492 KB |
answer = NO |
42 |
Incorrect |
1 ms |
492 KB |
participant answer is larger than the answer of jury |
43 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
492 KB |
answer = YES |
2 |
Correct |
1 ms |
364 KB |
answer = YES |
3 |
Correct |
1 ms |
364 KB |
answer = YES |
4 |
Correct |
0 ms |
364 KB |
answer = NO |
5 |
Correct |
1 ms |
364 KB |
answer = YES |
6 |
Correct |
1 ms |
364 KB |
answer = YES |
7 |
Correct |
1 ms |
364 KB |
answer = YES |
8 |
Correct |
0 ms |
364 KB |
answer = YES |
9 |
Correct |
1 ms |
364 KB |
answer = NO |
10 |
Correct |
0 ms |
364 KB |
answer = YES |
11 |
Correct |
1 ms |
364 KB |
answer = YES |
12 |
Correct |
1 ms |
364 KB |
answer = NO |
13 |
Correct |
1 ms |
364 KB |
answer = YES |
14 |
Correct |
1 ms |
384 KB |
answer = YES |
15 |
Correct |
1 ms |
364 KB |
answer = YES |
16 |
Correct |
0 ms |
364 KB |
answer = YES |
17 |
Correct |
0 ms |
364 KB |
answer = YES |
18 |
Correct |
0 ms |
364 KB |
answer = YES |
19 |
Correct |
1 ms |
364 KB |
answer = YES |
20 |
Correct |
0 ms |
364 KB |
answer = YES |
21 |
Correct |
0 ms |
364 KB |
answer = YES |
22 |
Correct |
1 ms |
364 KB |
answer = NO |
23 |
Correct |
1 ms |
364 KB |
answer = NO |
24 |
Correct |
1 ms |
364 KB |
answer = YES |
25 |
Correct |
1 ms |
364 KB |
answer = YES |
26 |
Correct |
1 ms |
364 KB |
answer = YES |
27 |
Correct |
1 ms |
364 KB |
answer = YES |
28 |
Correct |
1 ms |
364 KB |
answer = YES |
29 |
Correct |
1 ms |
364 KB |
answer = YES |
30 |
Correct |
1 ms |
364 KB |
answer = NO |
31 |
Correct |
1 ms |
364 KB |
answer = YES |
32 |
Correct |
1 ms |
364 KB |
answer = YES |
33 |
Correct |
1 ms |
364 KB |
answer = YES |
34 |
Correct |
1 ms |
364 KB |
answer = YES |
35 |
Correct |
1 ms |
364 KB |
answer = YES |
36 |
Correct |
1 ms |
364 KB |
answer = YES |
37 |
Correct |
1 ms |
364 KB |
answer = YES |
38 |
Correct |
1 ms |
364 KB |
answer = YES |
39 |
Correct |
1 ms |
364 KB |
answer = YES |
40 |
Correct |
1 ms |
492 KB |
answer = YES |
41 |
Correct |
1 ms |
492 KB |
answer = NO |
42 |
Incorrect |
1 ms |
492 KB |
participant answer is larger than the answer of jury |
43 |
Halted |
0 ms |
0 KB |
- |