# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
783675 |
2023-07-15T08:16:35 Z |
raysh07 |
Graph (BOI20_graph) |
C++17 |
|
2 ms |
2644 KB |
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define INF (int)1e18
#define f first
#define s second
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
const int N = 1e5 + 69;
vector <pair<int, int>> adj[N];
double ans[N];
int c[N], d[N];
bool vis[N];
int n, m;
vector <double> forced;
vector <int> comp;
void equate(int c1, int d1, int c2, int d2){
if (c1 == c2){
if (d1 == d2);
else forced.push_back(0), forced.push_back(1);
} else {
assert(c1 + c2 == 0);
//c1x + d1 = c2x + d2
//(c1 - c2) x = d2 - d1
// x = (d2 - d1) / (c1 - c2)
forced.push_back((double)(d2 - d1) / (c1 - c2));
}
}
void dfs(int u){
vis[u] = true;
comp.push_back(u);
for (auto [v, w] : adj[u]){
if (vis[v]){
equate(c[v], d[v], -c[u], w - d[u]);
} else {
c[v] = -c[u];
d[v] = -d[u];
d[v] += w;
dfs(v);
}
}
}
void Solve()
{
cin >> n >> m;
while (m--){
int u, v, c; cin >> u >> v >> c;
adj[u].push_back({v, c});
adj[v].push_back({u, c});
}
for (int i = 1; i <= n; i++){
if (vis[i]) continue;
comp.clear();
forced.clear();
c[i] = 1;
d[i] = 0;
dfs(i);
sort(forced.begin(), forced.end());
for (int i = 1; i < forced.size(); i++){
if (forced[i] != forced[i - 1]){
cout << "NO\n";
return;
}
}
if (forced.size() == 0){
vector <int> f;
for (auto x : comp){
f.push_back(d[x] * c[x]);
}
sort(f.begin(), f.end());
forced.push_back(-f[(int)f.size() / 2]);
}
int val = forced[0];
for (auto x : comp){
ans[x] = val * c[x] + d[x];
}
}
cout << "YES\n";
cout << fixed << setprecision(10);
for (int i = 1; i <= n; i++){
cout << ans[i] << " \n"[i == n];
}
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// freopen("in", "r", stdin);
// freopen("out", "w", stdout);
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
Compilation message
Graph.cpp: In function 'void Solve()':
Graph.cpp:70:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<double>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
70 | for (int i = 1; i < forced.size(); i++){
| ~~^~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
2644 KB |
Sum of endpoints for edge (1; 3) differs from the expected value 2. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
2644 KB |
Sum of endpoints for edge (1; 3) differs from the expected value 2. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
2644 KB |
Sum of endpoints for edge (1; 3) differs from the expected value 2. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
2644 KB |
Sum of endpoints for edge (1; 3) differs from the expected value 2. |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
2644 KB |
Sum of endpoints for edge (1; 3) differs from the expected value 2. |
2 |
Halted |
0 ms |
0 KB |
- |