/**
_ _ __ _ _ _ _ _ _
|a ||t ||o d | |o |
| __ _| | _ | __| _ |
| __ |/_ | __ /__\ / _\|
**/
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int BUFFER_SIZE = 65536;
char buffer[BUFFER_SIZE];
int buf_pos = BUFFER_SIZE - 1;
char read_char () {
if (++buf_pos == BUFFER_SIZE) {
fread(buffer, BUFFER_SIZE, sizeof(char), stdin);
buf_pos = 0;
}
return buffer[buf_pos];
}
int read_int () {
char c;
while (!isdigit(c = read_char()));
int val = 0;
do {
val = val * 10 + (int) (c - '0');
} while (isdigit(c = read_char()));
return val;
}
const int N_MAX = 100000;
const int M_MAX = 100000;
const int Q_MAX = 100000;
const int LOG_N = 18;
int N, M, Q;
vector <int> adj[N_MAX + 2];
int C[M_MAX + 2];
int ql[Q_MAX + 2], qr[Q_MAX + 2];
int parent[N_MAX + 2];
int depth[N_MAX + 2];
int order[N_MAX + 2];
int L[N_MAX + 2], R[N_MAX + 2];
int curr;
int euler[N_MAX * 2 + 2];
int ecurr;
void dfs (int u) {
euler[++ecurr] = u;
L[u] = ++curr;
order[curr] = u;
for (int v : adj[u]) {
if (v != parent[u]) {
parent[v] = u;
depth[v] = depth[u] + 1;
dfs(v);
euler[++ecurr] = u;
}
}
R[u] = curr;
}
int p2[N_MAX * 2 + 2];
int range_lca[N_MAX * 2 + 2][LOG_N];
int arg_min_depth (const int &u, const int &v) {
return (depth[u] < depth[v] ? u : v);
}
int euler_L[N_MAX + 2], euler_R[N_MAX + 2];
void precalc () {
for (int i = 1; i <= N * 2; i++) {
range_lca[i][0] = euler[i];
if (euler_L[euler[i]] == 0) {
euler_L[euler[i]] = i;
}
euler_R[euler[i]] = i;
}
for (int e = 1; e < LOG_N; e++) {
for (int i = 1; i + (1 << e) - 1 <= N * 2; i++) {
range_lca[i][e] = arg_min_depth(range_lca[i][e - 1],
range_lca[i + (1 << (e - 1))][e - 1]);
}
}
}
int lca (int u, int v) {
if (u == 0 || v == 0) {
return 0;
}
if (L[u] > L[v]) {
swap(u, v);
}
int l = euler_L[u], r = euler_R[v];
int e = p2[r - l + 1];
return arg_min_depth(range_lca[l][e], range_lca[r - (1 << e) + 1][e]);
}
int bucket;
int get_bucket (int i) {
return (i - 1) / bucket + 1;
}
vector <int> queries[M_MAX + 2];
int cnt, root;
int occ[N_MAX + 2];
int prv[N_MAX + 2], nxt[N_MAX + 2];
bool seen[N_MAX + 2];
void init (int l, int r) {
fill(occ + 1, occ + N + 1, 0);
root = 0;
for (int i = l; i <= r; i++) {
if (++occ[C[i]] == 1) {
root = (root == 0 ? C[i] : lca(root, C[i]));
}
}
fill(prv, prv + N + 2, 0);
fill(nxt, nxt + N + 2, 0);
fill(seen + 1, seen + N + 1, false);
cnt = 1;
int last = 0;
for (int i = 1; i <= N; i++) {
int u = order[i];
if (occ[u] > 0) {
prv[i] = last;
nxt[last] = i;
last = i;
while (seen[u] == false && u != root) {
cnt++;
seen[u] = true;
u = parent[u];
}
}
}
nxt[last] = N + 1;
prv[N + 1] = last;
}
void del (int u) {
if (--occ[u] == 0) {
nxt[prv[L[u]]] = nxt[L[u]];
prv[nxt[L[u]]] = prv[L[u]];
int ul = order[prv[L[u]]], ur = order[nxt[L[u]]];
if (ur == 0 || R[u] < L[ur]) {
ul = lca(u, ul);
ur = lca(u, ur);
int v = (depth[ul] > depth[ur] ? ul : ur);
cnt -= depth[u] - depth[v];
}
int v = lca(order[nxt[0]], order[prv[N + 1]]);
cnt -= depth[v] - depth[root];
root = v;
}
}
void add (int u) {
if (++occ[u] == 1) {
nxt[prv[L[u]]] = L[u];
prv[nxt[L[u]]] = L[u];
}
}
int answer[Q_MAX + 2];
int main () {
ios_base::sync_with_stdio(false);
cin.tie(0);
// mt19937 rnd(0);
N = read_int();
M = read_int();
Q = read_int();
// N = M = Q = 100000;
for (int i = 1; i <= N - 1; i++) {
int u, v;
u = read_int();
v = read_int();
// u = rnd() % i + 1;
// v = i + 1;
adj[u].push_back(v);
adj[v].push_back(u);
}
for (int i = 1; i <= M; i++) {
C[i] = read_int();
// C[i] = i;
}
// shuffle(C + 1, C + M + 1, rnd);
for (int i = 1; i <= Q; i++) {
ql[i] = read_int();
qr[i] = read_int();
// ql[i] = rnd() % M + 1;
// qr[i] = rnd() % M + 1;
if (ql[i] > qr[i]) {
swap(ql[i], qr[i]);
}
}
for (int i = 1; i <= N * 2; i++) {
p2[i] = p2[i - 1];
if ((1 << (p2[i] + 1)) <= i) {
p2[i]++;
}
}
depth[1] = 1;
dfs(1);
precalc();
bucket = max(1, min(M, (int) sqrt(M)));
for (int i = 1; i <= Q; i++) {
queries[get_bucket(ql[i])].push_back(i);
}
for (int b = 1; b <= get_bucket(M) - 1; b++) {
sort(queries[b].begin(), queries[b].end(), [&] (const int &i, const int &j) {
return qr[i] > qr[j];
});
int bl = (b - 1) * bucket + 1, br = min(M, b * bucket);
init(bl, br);
for (int i : queries[b]) {
if (get_bucket(qr[i]) == b) {
int prv_cnt = cnt, prv_root = root;
for (int j = bl; j <= br; j++) {
if (j < ql[i] || qr[i] < j) {
del(C[j]);
}
}
answer[i] = cnt;
for (int j = br; j >= bl; j--) {
if (j < ql[i] || qr[i] < j) {
add(C[j]);
}
}
cnt = prv_cnt; root = prv_root;
}
}
init(bl, M);
int r = M;
for (int i : queries[b]) {
if (get_bucket(qr[i]) > b) {
while (qr[i] < r) {
del(C[r--]);
}
int prv_cnt = cnt, prv_root = root;
for (int j = bl; j <= ql[i] - 1; j++) {
del(C[j]);
}
answer[i] = cnt;
for (int j = ql[i] - 1; j >= bl; j--) {
add(C[j]);
}
cnt = prv_cnt; root = prv_root;
}
}
}
for (int i = 1; i <= Q; i++) {
cout << answer[i] << "\n";
}
return 0;
}
