#include<bits/stdc++.h>
// #define int long long
#define f1(i, n) for(int i=1;i<=n;++i)
#define f0(i, n) for(int i=0;i<n;i++)
#define all(x) x.begin(), x.end()
#define fi first
#define se second
#define pb push_back
#define endl "\n"
#define NAME "DUONGSAT"
using namespace std;
const int MAXN = 1e5 + 5;
const int INF = 2e9;
const int abg = 1e3 + 5;
const int base = 256;
int n, m, k;
vector<int> g[5001];
int dist[5001][5001][2];
void bfs(int start) {
for (int i = 1; i <= n; ++i) {
dist[start][i][0] = INF;
dist[start][i][1] = INF;
}
queue<pair<int, int>> pq;
pq.push({start, 0});
dist[start][start][0] = 0;
while (!pq.empty()) {
auto x = pq.front();
int u = x.first;
int mod = x.second;
pq.pop();
for (auto v : g[u]) {
int next_mod = 1 - mod;
if (dist[start][v][next_mod] == INF) {
dist[start][v][next_mod] = dist[start][u][mod] + 1;
pq.push({v, next_mod});
}
}
}
}
int32_t main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
if (fopen(NAME".INP", "r")) {
freopen(NAME".INP", "r", stdin);
freopen(NAME".OUT", "w", stdout);
}
cin >> n >> m >> k;
for (int i = 1; i <= m; ++i) {
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
for (int i = 1; i <= n; ++i) {
bfs(i);
}
for (int i = 1; i <= k; ++i) {
int u, v, w;
cin >> u >> v >> w;
if (g[u].empty()) {
cout << "NO" << endl;
continue;
}
int wmod2 = w % 2;
int d = dist[u][v][wmod2];
if (d <= w) {
cout << "YES" << endl;
}
else cout << "NO" << endl;
}
return 0;
}
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