This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://judge.yosupo.jp/problem/jump_on_tree"
#include <algorithm>
#include <queue>
#include <random>
#include <vector>
using namespace std;
#include <cstdio>
#include <cstring>
#include <string>
#include <type_traits>
#include "../util/fastio.cpp"
#include "../tree/jump_on_tree.cpp"
int main() {
Scanner sc;
Printer pr;
int n, q;
sc.read(n, q);
JumpOnTree jt(n);
for (int i = 0; i < n - 1; ++i) {
int u, v;
sc.read(u, v);
jt.add_edge(u, v);
}
jt.build(0);
while (q--) {
int s, t, k;
sc.read(s, t, k);
pr.println(jt.jump(s, t, k));
}
return 0;
}#line 1 "test/yosupo_jump_on_tree.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/jump_on_tree"
#include <algorithm>
#include <queue>
#include <random>
#include <vector>
using namespace std;
#include <cstdio>
#include <cstring>
#include <string>
#include <type_traits>
#line 1 "util/fastio.cpp"
using namespace std;
extern "C" int fileno(FILE *);
extern "C" int isatty(int);
template<class T, class = void>
struct is_fastio_range : false_type {};
template<class T>
struct is_fastio_range<T, void_t<decltype(declval<T &>().begin()), decltype(declval<T &>().end())>> : true_type {};
template<class T, class = void>
struct has_fastio_value : false_type {};
template<class T>
struct has_fastio_value<T, void_t<decltype(declval<const T &>().value())>> : true_type {};
struct FastIoDigitTable {
char num[40000];
constexpr FastIoDigitTable() : num() {
for (int i = 0; i < 10000; ++i) {
int x = i;
for (int j = 3; j >= 0; --j) {
num[i * 4 + j] = char('0' + x % 10);
x /= 10;
}
}
}
};
struct Scanner {
static constexpr int BUFSIZE = 1 << 17;
static constexpr int OFFSET = 64;
char buf[BUFSIZE + 1];
int idx, size;
bool interactive;
Scanner() : idx(0), size(0), interactive(isatty(fileno(stdin))) {}
inline void load() {
int len = size - idx;
memmove(buf, buf + idx, len);
if (interactive) {
if (fgets(buf + len, BUFSIZE + 1 - len, stdin)) size = len + (int)strlen(buf + len);
else size = len;
} else {
size = len + (int)fread(buf + len, 1, BUFSIZE - len, stdin);
}
idx = 0;
buf[size] = 0;
}
inline void ensure() {
if (idx + OFFSET > size) load();
}
inline void ensure_interactive() {
if (idx == size) load();
}
inline char skip() {
if (interactive) {
ensure_interactive();
while (buf[idx] && buf[idx] <= ' ') {
++idx;
ensure_interactive();
}
return buf[idx++];
}
ensure();
while (buf[idx] && buf[idx] <= ' ') {
++idx;
ensure();
}
return buf[idx++];
}
template<class T, typename enable_if<is_integral<T>::value, int>::type = 0>
void read(T &x) {
if (interactive) {
char c = skip();
bool neg = false;
if constexpr (is_signed<T>::value) {
if (c == '-') {
neg = true;
ensure_interactive();
c = buf[idx++];
}
}
x = 0;
while (c >= '0') {
x = x * 10 + (c & 15);
ensure_interactive();
c = buf[idx++];
}
if constexpr (is_signed<T>::value) {
if (neg) x = -x;
}
return;
}
char c = skip();
bool neg = false;
if constexpr (is_signed<T>::value) {
if (c == '-') {
neg = true;
c = buf[idx++];
}
}
x = 0;
while (c >= '0') {
x = x * 10 + (c & 15);
c = buf[idx++];
}
if constexpr (is_signed<T>::value) {
if (neg) x = -x;
}
}
template<class T, typename enable_if<!is_integral<T>::value && !is_fastio_range<T>::value && !is_same<typename decay<T>::type, string>::value && has_fastio_value<T>::value, int>::type = 0>
void read(T &x) {
long long v;
read(v);
x = T(v);
}
template<class Head, class Next, class... Tail>
void read(Head &head, Next &next, Tail &...tail) {
read(head);
read(next, tail...);
}
template<class T, class U>
void read(pair<T, U> &p) {
read(p.first, p.second);
}
template<class T, typename enable_if<is_fastio_range<T>::value && !is_same<typename decay<T>::type, string>::value, int>::type = 0>
void read(T &a) {
for (auto &x : a) read(x);
}
void read(char &c) {
c = skip();
}
void read(string &s) {
s.clear();
if (interactive) {
ensure_interactive();
while (buf[idx] && buf[idx] <= ' ') {
++idx;
ensure_interactive();
}
while (true) {
int start = idx;
while (idx < size && buf[idx] > ' ') ++idx;
s.append(buf + start, idx - start);
if (idx < size) break;
load();
if (size == 0) break;
}
if (idx < size) ++idx;
return;
}
ensure();
while (buf[idx] && buf[idx] <= ' ') {
++idx;
ensure();
}
while (true) {
int start = idx;
while (idx < size && buf[idx] > ' ') ++idx;
s.append(buf + start, idx - start);
if (idx < size) break;
load();
}
if (idx < size) ++idx;
}
};
struct Printer {
static constexpr int BUFSIZE = 1 << 17;
static constexpr int OFFSET = 64;
char buf[BUFSIZE];
int idx;
bool interactive;
inline static constexpr FastIoDigitTable table{};
Printer() : idx(0), interactive(isatty(fileno(stdout))) {}
~Printer() { flush(); }
inline void flush() {
if (idx) {
fwrite(buf, 1, idx, stdout);
idx = 0;
}
}
inline void pc(char c) {
if (idx > BUFSIZE - OFFSET) flush();
buf[idx++] = c;
if (interactive && c == '\n') flush();
}
inline void print_range(const char *s, size_t n) {
size_t pos = 0;
while (pos < n) {
if (idx == BUFSIZE) flush();
size_t chunk = min(n - pos, (size_t)(BUFSIZE - idx));
memcpy(buf + idx, s + pos, chunk);
idx += (int)chunk;
pos += chunk;
}
}
void print(const char *s) {
print_range(s, strlen(s));
}
void print(const string &s) {
print_range(s.data(), s.size());
}
void print(char c) {
pc(c);
}
void print(bool b) {
pc(char('0' + (b ? 1 : 0)));
}
template<class T, typename enable_if<is_integral<T>::value && !is_same<T, bool>::value, int>::type = 0>
void print(T x) {
if (idx > BUFSIZE - 100) flush();
using U = typename make_unsigned<T>::type;
U y;
if constexpr (is_signed<T>::value) {
if (x < 0) {
buf[idx++] = '-';
y = U(0) - static_cast<U>(x);
} else {
y = static_cast<U>(x);
}
} else {
y = x;
}
if (y == 0) {
buf[idx++] = '0';
return;
}
static constexpr int TMP_SIZE = sizeof(U) * 10 / 4;
char tmp[TMP_SIZE];
int pos = TMP_SIZE;
while (y >= 10000) {
pos -= 4;
memcpy(tmp + pos, table.num + (y % 10000) * 4, 4);
y /= 10000;
}
if (y >= 1000) {
memcpy(buf + idx, table.num + (y << 2), 4);
idx += 4;
} else if (y >= 100) {
memcpy(buf + idx, table.num + (y << 2) + 1, 3);
idx += 3;
} else if (y >= 10) {
unsigned q = (unsigned(y) * 205) >> 11;
buf[idx] = char('0' + q);
buf[idx + 1] = char('0' + (unsigned(y) - q * 10));
idx += 2;
} else {
buf[idx++] = char('0' + y);
}
memcpy(buf + idx, tmp + pos, TMP_SIZE - pos);
idx += TMP_SIZE - pos;
}
template<class T, typename enable_if<!is_integral<T>::value && !is_fastio_range<T>::value && !is_same<typename decay<T>::type, string>::value && has_fastio_value<T>::value, int>::type = 0>
void print(const T &x) {
print(x.value());
}
template<class T, typename enable_if<is_fastio_range<T>::value && !is_same<typename decay<T>::type, string>::value, int>::type = 0>
void print(const T &a) {
bool first = true;
for (auto &&x : a) {
if (!first) pc(' ');
first = false;
print(x);
}
}
template<class T>
void println(const T &x) {
print(x);
pc('\n');
}
template<class Head, class... Tail>
void println(const Head &head, const Tail &...tail) {
print(head);
((pc(' '), print(tail)), ...);
pc('\n');
}
void println() {
pc('\n');
}
};
template<class T>
Scanner &operator>>(Scanner &in, T &x) {
in.read(x);
return in;
}
template<class T>
Printer &operator<<(Printer &out, const T &x) {
out.print(x);
return out;
}
/**
* @brief 高速入出力(Fast IO)
*/
#line 1 "tree/jump_on_tree.cpp"
class JumpOnTree {
int logn;
vector<int> up;
public:
int n;
vector<vector<int>> G;
vector<int> depth;
explicit JumpOnTree(int n) : logn(0), n(n), G(n), depth(n, -1) {}
void add_edge(int u, int v) {
G[u].emplace_back(v);
G[v].emplace_back(u);
}
void build(int root = 0) {
logn = 1;
while ((1 << logn) <= n) ++logn;
up.assign(logn * n, -1);
fill(depth.begin(), depth.end(), -1);
vector<int> offset(n + 1);
for (int v = 0; v < n; ++v) offset[v + 1] = offset[v] + (int)G[v].size();
vector<int> to(offset[n]);
for (int v = 0; v < n; ++v) {
int ptr = offset[v];
for (int u : G[v]) to[ptr++] = u;
}
vector<int> st;
st.reserve(n);
st.push_back(root);
depth[root] = 0;
while (!st.empty()) {
int v = st.back();
st.pop_back();
int pv = up[v];
for (int i = offset[v]; i < offset[v + 1]; ++i) {
int u = to[i];
if (u == pv) continue;
up[u] = v;
depth[u] = depth[v] + 1;
st.push_back(u);
}
}
for (int k = 0; k + 1 < logn; ++k) {
const int *cur = up.data() + k * n;
int *nxt = up.data() + (k + 1) * n;
for (int v = 0; v < n; ++v) {
int p = cur[v];
nxt[v] = (p == -1 ? -1 : cur[p]);
}
}
}
int ancestor(int v, int k) const {
if (k > depth[v]) return -1;
const int *row = up.data();
while (k) {
if (k & 1) v = row[v];
row += n;
k >>= 1;
}
return v;
}
int lca(int u, int v) const {
if (depth[u] < depth[v]) swap(u, v);
u = ancestor(u, depth[u] - depth[v]);
if (u == v) return u;
const int *row = up.data() + (logn - 1) * n;
for (int k = logn - 1; k >= 0; --k, row -= n) {
if (row[u] == row[v]) continue;
u = row[u];
v = row[v];
}
return up[u];
}
int dist(int u, int v) const {
int w = lca(u, v);
return depth[u] + depth[v] - 2 * depth[w];
}
int jump(int s, int t, int k) const {
int w = lca(s, t);
int a = depth[s] - depth[w];
int b = depth[t] - depth[w];
if (k > a + b) return -1;
if (k <= a) return ancestor(s, k);
return ancestor(t, a + b - k);
}
};
/**
* @brief Jump on Tree
*/
#line 16 "test/yosupo_jump_on_tree.test.cpp"
int main() {
Scanner sc;
Printer pr;
int n, q;
sc.read(n, q);
JumpOnTree jt(n);
for (int i = 0; i < n - 1; ++i) {
int u, v;
sc.read(u, v);
jt.add_edge(u, v);
}
jt.build(0);
while (q--) {
int s, t, k;
sc.read(s, t, k);
pr.println(jt.jump(s, t, k));
}
return 0;
}