#include using namespace std; #define all(...) std::begin(__VA_ARGS__), std::end(__VA_ARGS__) #define rall(...) std::rbegin(__VA_ARGS__), std::rend(__VA_ARGS__) #define OVERLOAD_REP(_1, _2, _3, _4, name, ...) name #define REP1(n) for(ll i=0;i<(n);i++) #define REP2(i, n) for (ll i=0;i<(n);i++) #define REP3(i, a, n) for (ll i=a;i<(n);i++) #define REP4(i, a, b, n) for(ll i=a;i<(n);i+=b) #define rep(...) OVERLOAD_REP(__VA_ARGS__, REP4, REP3, REP2, REP1)(__VA_ARGS__) #define OVERLOAD_RREP(_1, _2, _3, _4, name, ...) name #define RREP1(n) for(ll i=(n)-1;i>=0;i--) #define RREP2(i, n) for(ll i=(n)-1;i>=0;i--) #define RREP3(i, a, n) for(ll i=(n)-1;i>=(a);i--) #define RREP4(i, a, b, n) for(ll i=(n)-1;i>=(a);i-=(b)) #define rrep(...) OVERLOAD_RREP(__VA_ARGS__, RREP4, RREP3, RREP2, RREP1)(__VA_ARGS__) #define uniq(a) sort(all(a));a.erase(unique(all(a)),end(a)) #define len(n) (long long)(n).size() using ll = long long; using ld = long double; using ull = unsigned long long; using vi = vector; using vvi = vector; using vvvi = vector; using vll = vector; using vvll = vector; using vvvll = vector; using vs = vector; using vvs = vector; using vvvs = vector; using vld = vector; using vvld = vector; using vvvld = vector; using vc = vector; using vvc = vector; using vvvc = vector; using pll = pair; using vpll = vector; using vvpll = vector; ll intpow(ll a,ll b){ ll ans = 1; while (b){ if (b & 1){ ans *= a; } a *= a; b /= 2; } return ans; } ll modpow(ll a,ll b,ll c){ ll ans = 1; while (b){ if (b & 1){ ans *= a; ans %= c; } a *= a; a %= c; b /= 2; } return ans; } template inline T floor(T a, T b) { T q = a / b; T r = a % b; if (r != 0 && ((r < 0) != (b < 0))) q--; return q; } template inline T ceil(T a, T b) { T q = a / b; T r = a % b; if (r != 0 && ((r < 0) == (b < 0))) q++; return q; } template inline T bmod(T a, T b) { T r = a % b; if (r < 0) r += std::abs(b); return r; } template vector>> group_by_first(vector> vec) { sort(vec.begin(), vec.end(), [](auto& a, auto& b) { if (a.first != b.first) return a.first < b.first; return a.second < b.second; }); vector>> res; for (auto& p : vec) { if (res.empty() || res.back().back().first != p.first) { res.push_back({}); } res.back().push_back(p); } return res; } template void input(T&... a){ (cin >> ... >> a); } #define INT(...) int __VA_ARGS__; input(__VA_ARGS__) #define LL(...) ll __VA_ARGS__; input(__VA_ARGS__) #define ULL(...) ull __VA_ARGS__; input(__VA_ARGS__) #define LD(...) ld __VA_ARGS__; input(__VA_ARGS__) #define STR(...) string __VA_ARGS__; input(__VA_ARGS__) #define CHA(...) char __VA_ARGS__; input(__VA_ARGS__) #define VLL(name,length) vll name(length);rep(i,length){cin >> name[i];} #define VVLL(name,h,w) vvll name(h,vll(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVLL(name,a,b,c) vvvll name(a,vvll(b,vll(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VI(name,length) vi name(length);rep(i,length){cin >> name[i];} #define VVI(name,h,w) vvi name(h,vi(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVI(name,a,b,c) vvvi name(a,vvll(b,vi(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VLD(name,length) vld name(length);rep(i,length){cin >> name[i];} #define VVLD(name,h,w) vvld name(h,vld(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVLD(name,a,b,c) vvvld name(a,vvld(b,vld(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VC(name,length) vc name(length);rep(i,length){cin >> name[i];} #define VVC(name,h,w) vvc name(h,vc(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVC(name,a,b,c) vvvc name(a,vvc(b,vc(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define VS(name,length) vs name(length);rep(i,length){cin >> name[i];} #define VVS(name,h,w) vvs name(h,vs(w));rep(i,h)rep(j,w){cin >> name[i][j];} #define VVVS(name,a,b,c) vvvs name(a,vvs(b,vs(c)));rep(i,a)rep(j,b)rep(k,c){cin >> name[i][j][k];} #define PLL(name) pll name;cin>>name.first>>name.second; #define VPLL(name,length) vpll name(length);rep(i,length){cin>>name[i].first>>name[i].second;} void print(){cout << "\n";} template std::ostream& operator<<(std::ostream& os, const std::pair& p) { os << "(" << p.first << ", " << p.second << ")"; return os; } template std::ostream& operator<<(std::ostream& os, const std::vector& vec) { os << "["; for (size_t i = 0; i < vec.size(); ++i) { os << vec[i]; if (i + 1 < vec.size()) os << ", "; } os << "]"; return os; } template std::ostream& operator<<(std::ostream& os, const std::vector>& a) { os << "["; for (size_t j = 0; j < a.size(); ++j) { os << "(" << a[j].first << ", " << a[j].second << ")"; if (j + 1 < a.size()) os << ", "; } os << "]"; return os; } template std::ostream& operator<<(std::ostream& os, const std::vector>>& mat) { os << "["; for (size_t i = 0; i < mat.size(); ++i) { os << "["; for (size_t j = 0; j < mat[i].size(); ++j) { os << "(" << mat[i][j].first << ", " << mat[i][j].second << ")"; if (j + 1 < mat[i].size()) os << ", "; } os << "]"; if (i + 1 < mat.size()) os << ", "; } os << "]"; return os; } template std::ostream& operator<<(std::ostream& os, const std::set& s) { os << "{"; bool first = true; for (const auto& x : s) { if (!first) os << ", "; os << x; first = false; } os << "}"; return os; } template std::ostream& operator<<(std::ostream& os, const std::map& m) { os << "{"; bool first = true; for (const auto& [key, val] : m) { if (!first) os << ", "; os << key << ": " << val; first = false; } os << "}"; return os; } template std::ostream& operator<<(std::ostream& os, std::priority_queue pq) { os << "["; bool first = true; while (!pq.empty()) { if (!first) os << ", "; os << pq.top(); pq.pop(); first = false; } os << "]"; return os; } template void print(const T& a, const Ts&... b){cout << a;(cout << ... << (cout << ' ', b));cout << '\n';} #ifdef LOCAL void debug() { std::cerr << "\n"; } template void debug(const T& a, const Ts&... b) { std::cerr << a; (std::cerr << ... << (std::cerr << ' ', b)); std::cerr << '\n'; } void debug_space() {} template void debug_space(const T& a, const Ts&... b) { std::cerr << a; (std::cerr << ... << (std::cerr << ' ', b)); } #else #define debug(...) (void)0 #endif void write(){cout << "\n";} template void write(const T& a, const Ts&... b){cout << a;(cout << ... << (cout << ' ', b));cout << '\n';} void write(vll x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvll x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vi x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvi x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vvvi x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void write(vld x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvld x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vvvld x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void write(vc x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvc x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vvvc x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void write(vs x){rep(i,len(x)){cout << x[i];if(i!=len(x)-1){cout << " ";}else{cout << '\n';}}} void write(vvs x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j];if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} void write(vvvs x){rep(i,len(x))rep(j,len(x[i]))rep(k,len(x[i][j])){cout << x[i][j][k];if(k!=len(x[i][j])-1){cout << " ";}else if(j!=len(x[i])-1){cout << " | ";}else{cout << '\n';}}} void write(pll x){cout << x.first << ' ' << x.second << '\n';} void write(vpll x){rep(i,len(x)){cout << x[i].first << ' ' << x[i].second << '\n';}} void write(vvpll x){rep(i,len(x))rep(j,len(x[i])){cout << x[i][j].first << ' ' << x[i][j].second;if(j!=len(x[i])-1){cout << " ";}else{cout << '\n';}}} template T sum(const std::vector& v) { return std::accumulate(v.begin(), v.end(), T(0)); } template auto le(const Set &s, const typename Set::value_type &x, const typename Set::value_type &ngval = typename Set::value_type(-1)) { auto it = s.upper_bound(x); if (it == s.begin()) return ngval; return *prev(it); } template auto lt(const Set &s, const typename Set::value_type &x, const typename Set::value_type &ngval = typename Set::value_type(-1)) { auto it = s.lower_bound(x); if (it == s.begin()) return ngval; return *prev(it); } template auto ge(const Set &s, const typename Set::value_type &x, const typename Set::value_type &ngval = typename Set::value_type(-1)) { auto it = s.lower_bound(x); if (it == s.end()) return ngval; return *it; } template auto gt(const Set &s, const typename Set::value_type &x, const typename Set::value_type &ngval = typename Set::value_type(-1)) { auto it = s.upper_bound(x); if (it == s.end()) return ngval; return *it; } template bool chmin(T& a, const T& b){ if(a > b){ a = b; return 1; } return 0; } template bool chmax(T& a, const T& b){ if(a < b){ a = b; return 1; } return 0; } template bool chmin(T& a, const U& b){ if(a > T(b)){ a = b; return 1; } return 0; } template bool chmax(T& a, const U& b){ if(a < T(b)){ a = b; return 1; } return 0; } #include #line 2 "hashmap/hashset.hpp" #line 2 "hashmap/hashmap-base.hpp" #include using namespace std; namespace HashMapImpl { using u32 = uint32_t; using u64 = uint64_t; template struct HashMapBase; template struct itrB : iterator { using base = iterator; using ptr = typename base::pointer; using ref = typename base::reference; u32 i; HashMapBase* p; explicit constexpr itrB() : i(0), p(nullptr) {} explicit constexpr itrB(u32 _i, HashMapBase* _p) : i(_i), p(_p) {} explicit constexpr itrB(u32 _i, const HashMapBase* _p) : i(_i), p(const_cast*>(_p)) {} friend void swap(itrB& l, itrB& r) { swap(l.i, r.i), swap(l.p, r.p); } friend bool operator==(const itrB& l, const itrB& r) { return l.i == r.i; } friend bool operator!=(const itrB& l, const itrB& r) { return l.i != r.i; } const ref operator*() const { return const_cast*>(p)->data[i]; } ref operator*() { return p->data[i]; } ptr operator->() const { return &(p->data[i]); } itrB& operator++() { assert(i != p->cap && "itr::operator++()"); do { i++; if (i == p->cap) break; if (p->occupied_flag[i] && !p->deleted_flag[i]) break; } while (true); return (*this); } itrB operator++(int) { itrB it(*this); ++(*this); return it; } itrB& operator--() { do { i--; if (p->occupied_flag[i] && !p->deleted_flag[i]) break; assert(i != 0 && "itr::operator--()"); } while (true); return (*this); } itrB operator--(int) { itrB it(*this); --(*this); return it; } }; template struct HashMapBase { using u32 = uint32_t; using u64 = uint64_t; using iterator = itrB; using itr = iterator; protected: template inline u64 randomized(const K& key) const { return u64(key) ^ r; } template ::value, nullptr_t> = nullptr, enable_if_t::value, nullptr_t> = nullptr> inline u32 inner_hash(const K& key) const { return (randomized(key) * 11995408973635179863ULL) >> shift; } template < typename K, enable_if_t::value, nullptr_t> = nullptr, enable_if_t::value, nullptr_t> = nullptr, enable_if_t::value, nullptr_t> = nullptr> inline u32 inner_hash(const K& key) const { u64 a = randomized(key.first), b = randomized(key.second); a *= 11995408973635179863ULL; b *= 10150724397891781847ULL; return (a + b) >> shift; } template ::value, nullptr_t> = nullptr, enable_if_t::value, nullptr_t> = nullptr> inline u32 inner_hash(const K& key) const { static constexpr u64 mod = (1LL << 61) - 1; static constexpr u64 base = 950699498548472943ULL; u64 res = 0; for (auto& elem : key) { __uint128_t x = __uint128_t(res) * base + (randomized(elem) & mod); res = (x & mod) + (x >> 61); } __uint128_t x = __uint128_t(res) * base; res = (x & mod) + (x >> 61); if (res >= mod) res -= mod; return res >> (shift - 3); } template ::value, nullptr_t> = nullptr> inline u32 hash(const D& dat) const { return inner_hash(dat); } template < typename D = Data, enable_if_t::value, nullptr_t> = nullptr> inline u32 hash(const D& dat) const { return inner_hash(dat.first); } template ::value, nullptr_t> = nullptr> inline Key data_to_key(const D& dat) const { return dat; } template < typename D = Data, enable_if_t::value, nullptr_t> = nullptr> inline Key data_to_key(const D& dat) const { return dat.first; } void reallocate(u32 ncap) { vector ndata(ncap); vector nf(ncap); shift = 64 - __lg(ncap); for (u32 i = 0; i < cap; i++) { if (occupied_flag[i] && !deleted_flag[i]) { u32 h = hash(data[i]); while (nf[h]) h = (h + 1) & (ncap - 1); ndata[h] = move(data[i]); nf[h] = true; } } data.swap(ndata); occupied_flag.swap(nf); cap = ncap; occupied = s; deleted_flag.resize(cap); fill(std::begin(deleted_flag), std::end(deleted_flag), false); } inline bool extend_rate(u32 x) const { return x * 2 >= cap; } inline bool shrink_rate(u32 x) const { return HASHMAP_DEFAULT_SIZE < cap && x * 10 <= cap; } inline void extend() { reallocate(cap << 1); } inline void shrink() { reallocate(cap >> 1); } public: u32 cap, s, occupied; vector data; vector occupied_flag, deleted_flag; u32 shift; static u64 r; static constexpr uint32_t HASHMAP_DEFAULT_SIZE = 4; explicit HashMapBase() : cap(HASHMAP_DEFAULT_SIZE), s(0), occupied(0), data(cap), occupied_flag(cap), deleted_flag(cap), shift(64 - __lg(cap)) {} itr begin() const { u32 h = 0; while (h != cap) { if (occupied_flag[h] && !deleted_flag[h]) break; h++; } return itr(h, this); } itr end() const { return itr(this->cap, this); } friend itr begin(const HashMapBase& h) { return h.begin(); } friend itr end(const HashMapBase& h) { return h.end(); } itr find(const Key& key) const { u32 h = inner_hash(key); while (true) { if (occupied_flag[h] == false) return this->end(); if (data_to_key(data[h]) == key) { if (deleted_flag[h] == true) return this->end(); return itr(h, this); } h = (h + 1) & (cap - 1); } } bool contain(const Key& key) const { return find(key) != this->end(); } itr insert(const Data& d) { u32 h = hash(d); while (true) { if (occupied_flag[h] == false) { if (extend_rate(occupied + 1)) { extend(); h = hash(d); continue; } data[h] = d; occupied_flag[h] = true; ++occupied, ++s; return itr(h, this); } if (data_to_key(data[h]) == data_to_key(d)) { if (deleted_flag[h] == true) { data[h] = d; deleted_flag[h] = false; ++s; } return itr(h, this); } h = (h + 1) & (cap - 1); } } // tips for speed up : // if return value is unnecessary, make argument_2 false. itr erase(itr it, bool get_next = true) { if (it == this->end()) return this->end(); s--; if (!get_next) { this->deleted_flag[it.i] = true; if (shrink_rate(s)) shrink(); return this->end(); } itr nxt = it; nxt++; this->deleted_flag[it.i] = true; if (shrink_rate(s)) { Data d = data[nxt.i]; shrink(); it = find(data_to_key(d)); } return nxt; } itr erase(const Key& key) { return erase(find(key)); } int count(const Key& key) { return find(key) == end() ? 0 : 1; } bool empty() const { return s == 0; } int size() const { return s; } void clear() { fill(std::begin(occupied_flag), std::end(occupied_flag), false); fill(std::begin(deleted_flag), std::end(deleted_flag), false); s = occupied = 0; } void reserve(int n) { if (n <= 0) return; n = 1 << min(23, __lg(n) + 2); if (cap < u32(n)) reallocate(n); } }; template uint64_t HashMapBase::r = chrono::duration_cast( chrono::high_resolution_clock::now().time_since_epoch()) .count(); } // namespace HashMapImpl /** * @brief Hash Map(base) (ハッシュマップ・基底クラス) */ #line 4 "hashmap/hashset.hpp" template struct HashSet : HashMapImpl::HashMapBase { using HashMapImpl::HashMapBase::HashMapBase; }; /* * @brief ハッシュセット(集合) * @docs docs/hashmap/hashset.md **/ int main(){ ios::sync_with_stdio(false); std::cin.tie(nullptr); LL(n,m,q); VLL(a,n); rep(i,n){ a[i]--; } vector> edge; rep(i,m){ LL(u,v,x); u--;v--; edge.emplace_back(x,u,v); } vpll b; rep(i,q){ LL(s,c); s--; b.emplace_back(s,c); } vll l(q,-1),r(q,1LL<<30); vector>> query(n); rep(i,q){ query[b[i].first].emplace(b[i].second,i); } vector> se(n); rep(i,n){ se[i].insert(a[i]); } atcoder::dsu uf(n); vll ans(q,1LL<<60); rep(i,n)edge.emplace_back(0,i,i); sort(all(edge)); for(auto [x,u,v]:edge){ if(!uf.same(u,v)){ u = uf.leader(u); v = uf.leader(v); if(len(se[u]) > len(se[v])){ swap(u,v); } for(auto z:se[u]){ se[v].insert(z); } if(len(query[u]) > len(query[v])){ swap(query[u],query[v]); } while(!query[u].empty()){ query[v].emplace(query[u].top()); query[u].pop(); } uf.merge(u,v); } ll idx = uf.leader(v); if(uf.leader(v) != v){ swap(se[u],se[v]); swap(query[u],query[v]); idx = u; } debug(x,u,v,query[0],len(se[idx])); while(!query[idx].empty() && query[idx].top().first <= len(se[idx])){ ans[query[idx].top().second] = x; query[idx].pop(); } } rep(i,q){ if(ans[i] == (1LL<<60)){ ans[i] = -1; } print(ans[i]); } }