#ifndef CLASS_FENWICKTREE #define CLASS_FENWICKTREE #include #include #include template class fenwick_tree { private: std::size_t n, sz; std::vector val; public: fenwick_tree() : n(0), sz(0) {}; fenwick_tree(std::size_t n_) : n(n_) { sz = 1; while (sz < n) sz *= 2; val = std::vector(sz + 1); } template fenwick_tree(InputIterator first, InputIterator last) : n(last - first) { sz = 1; while (sz < n) sz *= 2; val = std::vector(sz + 1); std::size_t cur = 0; for (InputIterator it = first; it != last; ++it) val[++cur] += *it; for (std::size_t i = 1; i < sz; ++i) val[i + (i & ~(i - 1))] += val[i]; } void add(std::size_t pos, type delta) { for (std::size_t i = pos + 1; i <= sz; i += i & ~(i - 1)) { val[i] += delta; } } type getsum(std::size_t r) const { assert(0 <= r && r <= n); type ans = 0; for (std::size_t i = r; i >= 1; i -= i & ~(i - 1)) { ans += val[i]; } return ans; } type getsum(std::size_t l, std::size_t r) const { assert(0 <= l && l <= r && r <= n); return getsum(r) - getsum(l); } std::size_t binary_search(type threshold) const { std::size_t ans = 0; for (std::size_t i = (sz >> 1); i >= 1; i >>= 1) { if (threshold >= val[ans + i]) { threshold -= val[ans + i]; ans += i; } } return ans; } }; #endif // CLASS_FENWICKTREE #include #include #include #include using namespace std; int main() { cin.tie(0); ios_base::sync_with_stdio(false); int N, K, Q; cin >> N >> K >> Q; vector C(K); for (int i = 0; i < K; ++i) { cin >> C[i]; --C[i]; } vector > G(N); for (int i = 0; i < N - 1; ++i) { int a, b; cin >> a >> b; --a, --b; G[a].push_back(b); G[b].push_back(a); } // step #1. build tree vector > child(N); vector p(N), subtree(N, 1), depth(N); function build_tree_1 = [&](int pos, int pre) { p[pos] = pre; for (int i : G[pos]) { if (i != pre) { child[pos].push_back(i); depth[i] = depth[pos] + 1; build_tree_1(i, pos); subtree[pos] += subtree[i]; } } sort(child[pos].begin(), child[pos].end(), [&](int i, int j) { return subtree[i] > subtree[j]; }); }; build_tree_1(0, 0); int track = 0; vector lp(N), rp(N); function build_tree_2 = [&](int pos, int pre) { lp[pos] = track++; for (int i : child[pos]) { build_tree_2(i, pos); } rp[pos] = track; }; build_tree_2(0, 0); // step #2. prepare for heavy-light decomposition int bits = 1; while ((1 << bits) < N) ++bits; vector > par(bits, vector(N)); par[0] = p; for (int i = 1; i < bits; ++i) { for (int j = 0; j < N; ++j) { par[i][j] = par[i - 1][par[i - 1][j]]; } } fenwick_tree fen1(N), fen2(N); function range_add = [&](int l, int r, long long x) { fen1.add(l, x); fen1.add(r, -x); fen2.add(l, -l * x); fen2.add(r, r * x); }; function range_sum = [&](int l, int r) { return fen1.getsum(r) * r - fen1.getsum(l) * l + fen2.getsum(l, r); }; function add = [&](int pos, int val) { int cdepth = depth[pos]; while (true) { int nxt = pos, ndepth = cdepth; for (int i = bits - 1; i >= 0; --i) { if (ndepth >= (1 << i) && lp[par[i][nxt]] == lp[pos] - (cdepth - ndepth + (1 << i))) { ndepth -= (1 << i); nxt = par[i][nxt]; } } range_add(lp[nxt], lp[pos] + 1, val); if (nxt == 0) break; pos = par[0][nxt]; cdepth = ndepth - 1; } }; function sum = [&](int pos) { int cdepth = depth[pos]; long long res = 0; while (true) { int nxt = pos, ndepth = cdepth; for (int i = bits - 1; i >= 0; --i) { if (ndepth >= (1 << i) && lp[par[i][nxt]] == lp[pos] - (cdepth - ndepth + (1 << i))) { ndepth -= (1 << i); nxt = par[i][nxt]; } } res += range_sum(lp[nxt], lp[pos] + 1); if (nxt == 0) break; pos = par[0][nxt]; cdepth = ndepth - 1; } return res; }; // step #3. solve long long basic = 0; for (int i = 0; i < K; ++i) { add(C[i], 1); basic += depth[C[i]]; } long long ans = 0; for (int i = 0; i < Q; ++i) { int tp; cin >> tp; if (tp == 1) { int x, y; cin >> x >> y; --x, --y; add(C[x], -1); basic -= depth[C[x]]; C[x] = y; add(C[x], 1); basic += depth[C[x]]; } else { int x; cin >> x; --x; long long ans = 1LL * depth[x] * K + basic; long long res = sum(x) - K; ans -= res * 2; cout << ans << '\n'; } } return 0; }