#include <bits/stdc++.h>
using namespace std;
#define name "TENBAI"
#define fi first
#define se second
#define int long long
#define endl '\n'
#define setmin(x, y) x = min((x), (y))
#define setmax(x, y) x = max((x), (y))
#define sqr(x) ((x) * (x))
#define all(x) x.begin(), x.end()
mt19937 hdp(chrono::high_resolution_clock::now().time_since_epoch().count());
int rand(int l, int r){return l + ((hdp() % (r - l + 1)) + r - l + 1) % (r - l + 1);}
const int NM = 2e5 + 5;
const double SUS = -69;
pair<int, int> a[NM], sum;
double force;
pair<double, double> ans;
map<pair<int, int>, int> mp;
int n, m;
bool vis[NM];
vector<pair<int, int>> g[NM];
void dfs(int u)
{
vis[u] = 1;
mp[{a[u].fi, a[u].se}]++;
for (auto t : g[u])
{
int v = t.fi, w = t.se;
if (!vis[v])
{
a[v].fi = -a[u].fi, a[v].se = w - a[u].se;
dfs(v);
}
else
{
if (a[u].fi + a[v].fi == 0)
{
if (a[u].se + a[v].se != w)
{
cout << "NO";
exit(0);
}
}
else
{
double t = double(w - (a[u].se + a[v].se)) / (a[u].fi + a[v].fi);
if (force == SUS)
force = t;
else if (force != t)
{
cout << "NO";
exit(0);
}
}
}
}
}
void solve()
{
force = -69;
cin >> n >> m;
for (int i = 1; i <= m; i++)
{
int u, v, w;
cin >> u >> v >> w;
g[u].emplace_back(v, w);
g[v].emplace_back(u, w);
}
a[1] = {1, 0};
dfs(1);
vector<array<int, 3>> v;
for (auto t : mp)
v.push_back({t.fi.fi, t.fi.se, t.se});
sort(all(v), [&](auto x, auto y) {return -double(x[1]) / x[0] < -double(y[1]) / y[0];});
if (force != SUS)
ans.se = force;
else
{
ans.fi = 1e9;
double pr = -69;
for (int i = 0; i < v.size(); i++)
{
double cr = -double(v[i][1]) / v[i][0];
// cout << cr << ' ' << SUS << endl;
pair<int, int> sum;
for (int j = 0; j < v.size(); j++)
{
sum.fi += (j >= i ? -v[j][0] : v[j][0]) * v[j][2];
sum.se += (j >= i ? -v[j][1] : v[j][1]) * v[j][2];
}
for (double x : {pr, cr})
setmin(ans, make_pair(sum.fi * x + sum.se, x));
pr = cr;
}
}
cout << "YES\n";
for (int i = 1; i <= n; i++)
cout << a[i].fi * ans.se + a[i].se << ' ';
}
signed main()
{
if (fopen("in.txt", "r"))
{
freopen("in.txt", "r", stdin);
freopen("out.txt", "w", stdout);
}
else if (fopen(name".inp", "r"))
{
freopen(name".inp", "r", stdin);
freopen(name".out", "w", stdout);
}
ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
int tc = 1;
// cin >> tc;
while (tc--)
solve();
}
컴파일 시 표준 에러 (stderr) 메시지
Graph.cpp: In function 'int main()':
Graph.cpp:112:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
112 | freopen("in.txt", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
Graph.cpp:113:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
113 | freopen("out.txt", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Graph.cpp:117:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
117 | freopen(name".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Graph.cpp:118:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
118 | freopen(name".out", "w", stdout);
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