This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
int numNode, numEdge, numQuery;
#define MAX 200005
#define LOG 20
struct Edge{
int u, v, w;
Edge(){}
Edge(int _u, int _v, int _w): u(_u), v(_v), w(_w){}
int other(int x){
return (x ^ u ^ v);
}
bool operator < (const Edge& oth) const{
return w < oth.w;
}
} edge[MAX];
vector<int> G[MAX];
int ID[MAX];
int pa[MAX];
int find(int u){
return u == pa[u] ? u : pa[u] = find(pa[u]);
}
bool joint(int u, int v){
u = find(u), v = find(v);
if(u == v) return false;
pa[v] = u;
return true;
}
int cc = 1;
int up[MAX][LOG], mx[MAX][LOG];
int dep[MAX];
void pre_dfs(int u, int p = -1){
ID[u] = cc;
for (int&i : G[u]){
int v = edge[i].other(u);
if(v ^ p){
up[v][0] = u;
mx[v][0] = edge[i].w;
dep[v] = dep[u] + 1;
for (int i = 1; i < LOG; ++i){
up[v][i] = up[up[v][i - 1]][i - 1];
mx[v][i] = max(mx[v][i - 1], mx[up[v][i - 1]][i - 1]);
}
pre_dfs(v, u);
}
}
}
int lca(int u, int v){
if (dep[u] < dep[v]) swap(u, v);
int dis = dep[u] - dep[v];
int ans = 0;
for (int i = 0; MASK(i) <= dis; ++i){
if (BIT(dis, i)){
maximize(ans, mx[u][i]);
u = up[u][i];
}
}
if (u == v) return ans;
for (int i = LOG - 1; i >= 0; --i) if(up[v][i] != up[u][i]){
maximize(ans, mx[v][i]);
maximize(ans, mx[u][i]);
v = up[v][i], u = up[u][i];
}
maximize(ans, mx[v][0]);
maximize(ans, mx[u][0]);
return ans;
}
void process(void){
cin >> numNode >> numEdge >> numQuery;
for (int i = 1; i <= numEdge; ++i){
cin >> edge[i].u >> edge[i].v >> edge[i].w;
}
for (int i = 1; i <= numNode; ++i) pa[i] = i;
sort(edge + 1, edge + numEdge + 1);
for (int i = 1; i <= numEdge; ++i){
if (joint(edge[i].u, edge[i].v)){
G[edge[i].u].emplace_back(i);
G[edge[i].v].emplace_back(i);
}
}
for (int i = 1; i <= numNode; ++i) if(!ID[i]){
pre_dfs(i); ++cc;
}
for (int i = 1; i <= numQuery; ++i){
int u, v, w; cin >> u >> v >> w;
if (ID[u] != ID[v]){
cout << "NE\n";
}
else{
int val = lca(u, v);
cout << (val <= w ? "TAIP\n" : "NE\n");
}
}
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
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