#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define pb push_back
#define popf pop_front
#define popb pop_back
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T> void print(T v[],T n) {cerr << "["; for(int i = 0; i < n; i++) {cerr << v[i] << " ";} cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if (str != "") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 2e5 + 10;
vector<pair<int, int>> adj[N];
bool vis[N];
int n, m;
map<pair<int, int>, int> edge;
int color[N];
int p[N], to[N];
vector<int> cycle;
double ans[N];
vector<int> component;
void dfs(int node, int parent) {
p[node] = parent;
component.push_back(node);
vis[node] = true;
for(auto i: adj[node]) {
if(i.first == parent) continue;
to[i.first] = i.second;
if(color[i.first] == color[node]) {
// get odd cycle
if(!sz(cycle)) {
int curr = node;
while(curr) {
cycle.push_back(curr);
curr = p[curr];
}
}
} else if(!color[i.first]) {
color[i.first] = 3 - color[node];
dfs(i.first, node);
}
}
}
int ok = 1;
bool can[N];
void dfsCheck(int node, int parent) {
// dbg(make_pair(node, parent))
// dbg(node)
// dbg(adj[node])
for(auto i: adj[node]) {
if(i.first == parent) continue;
double cost = i.second;
if(can[i.first] && cost - ans[node] != ans[i.first]) {
ok = 0;
} else if(!can[i.first]) {
can[i.first] = true;
ans[i.first] = cost - ans[node];
dfsCheck(i.first, node);
}
}
}
double add[N];
int lst[N], par[N];
vector<int> b;
void dfs2(int node, int parent) {
par[node] = (par[parent] + 1) % 2;
vis[node] = true;
// dbg(make_pair(node, parent))
if(par[node]) {
b.push_back(lst[node]);
} else {
b.push_back(-lst[node]);
}
for(auto i: adj[node]) {
if(i.first == parent) continue;
if(vis[i.first]) continue;
lst[i.first] = i.second - lst[node];
dfs2(i.first, node);
}
}
void solve_() {
cin >> n >> m;
int gok = 1;
for(int i = 1; i <= m; i++) {
int a, b, c; cin >> a >> b >> c;
if(a < b) {
swap(a, b);
}
adj[a].emplace_back(b, c);
adj[b].emplace_back(a, c);
if(edge.find({a, b}) != edge.end() && edge[{a, b}] != c) {
gok = 0;
}
edge[{a, b}] = c;
}
if(!gok) {
cout << "NO" << endl;
return;
}
for(int i = 1; i <= n; i++) {
if(!vis[i]) {
color[i] = 1;
cycle.clear();
component.clear();
dfs(i, 0);
if(sz(cycle)) {
double s = 0;
reverse(all(cycle));
for(int i = 0; i < sz(cycle); i++) {
int j = (i + 1) % sz(cycle);
int a = cycle[i], b = cycle[j];
if(a < b) {
swap(a, b);
}
if(i % 2 == 0) {
s += edge[{a, b}];
} else {
s -= edge[{a, b}];
}
}
s /= 2;
//
ans[i] = s;
can[i] = true;
ok = 1;
dfsCheck(i, 0);
if(!ok) {
cout << "NO" << endl;
return;
}
} else {
b.clear();
// dbg(component)
for(auto j: component) {
vis[j] = false;
}
vis[i] = true;
b.push_back(0);
for(auto j: adj[i]) {
if(vis[j.first]) continue;
lst[j.first] = j.second;
dfs2(j.first, i);
}
sort(all(b));
uniq(b)
int med = sz(b) / 2;
if(sz(b) & 1) {
ans[i] = b[med];
can[i] = true;
} else {
ans[i] = b[med] - b[med - 1];
ans[i] /= 2;
can[i] = true;
}
ok = 1;
dfsCheck(i, 0);
if(!ok) {
cout << "NO" << endl;
return;
}
}
}
}
cout << "YES" << endl;
for(int i = 1; i <= n; i++) {
cout << ans[i] << " ";
}
cout << endl;
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
while(test_case--) {
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
Compilation message
Graph.cpp: In function 'void setIO(std::string)':
Graph.cpp:62:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
62 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Graph.cpp:63:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
63 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 2 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 3 |
Incorrect |
3 ms |
4948 KB |
participant answer is larger than the answer of jury |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 2 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 3 |
Incorrect |
3 ms |
4948 KB |
participant answer is larger than the answer of jury |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 2 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 3 |
Incorrect |
3 ms |
4948 KB |
participant answer is larger than the answer of jury |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 2 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 3 |
Incorrect |
3 ms |
4948 KB |
participant answer is larger than the answer of jury |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 2 |
Correct |
3 ms |
4948 KB |
answer = YES |
| 3 |
Incorrect |
3 ms |
4948 KB |
participant answer is larger than the answer of jury |
| 4 |
Halted |
0 ms |
0 KB |
- |
