#875089 (C++17) No.2325 Skill Tree

• 問題: No.2325 Skill Tree
• ユーザー: Nachia
• 提出日時: 2023-05-28 15:42:32
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 160 ms / 3,000 ms
• コード長: 13,766 bytes
• コンパイル時間: 1,372 ms
• コンパイル使用メモリ: 99,180 KB
• 最終ジャッジ日時: 2025-02-13 13:47:02
• ジャッジサーバーID （参考情報）: judge4 / judge3

ファイルパターン	結果
sample	AC * 2
other	AC * 36

ソースコード

#line 1 "..\\Main.cpp"
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <atcoder/modint>
#line 3 "D:\\Programming\\VSCode\\competitive-cpp\\nachia\\graph\\graph.hpp"
#include <utility>
#include <cassert>
#line 5 "D:\\Programming\\VSCode\\competitive-cpp\\nachia\\array\\csr-array.hpp"

namespace nachia{

template<class Elem>
class CsrArray{
public:
    struct ListRange{
        using iterator = typename std::vector<Elem>::iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)std::distance(begi, endi); }
        Elem& operator[](int i) const { return begi[i]; }
    };
    struct ConstListRange{
        using iterator = typename std::vector<Elem>::const_iterator;
        iterator begi, endi;
        iterator begin() const { return begi; }
        iterator end() const { return endi; }
        int size() const { return (int)std::distance(begi, endi); }
        const Elem& operator[](int i) const { return begi[i]; }
    };
private:
    int m_n;
    std::vector<Elem> m_list;
    std::vector<int> m_pos;
public:
    CsrArray() : m_n(0), m_list(), m_pos() {}
    static CsrArray Construct(int n, std::vector<std::pair<int, Elem>> items){
        CsrArray res;
        res.m_n = n;
        std::vector<int> buf(n+1, 0);
        for(auto& [u,v] : items){ ++buf[u]; }
        for(int i=1; i<=n; i++) buf[i] += buf[i-1];
        res.m_list.resize(buf[n]);
        for(int i=(int)items.size()-1; i>=0; i--){
            res.m_list[--buf[items[i].first]] = std::move(items[i].second);
        }
        res.m_pos = std::move(buf);
        return res;
    }
    static CsrArray FromRaw(std::vector<Elem> list, std::vector<int> pos){
        CsrArray res;
        res.m_n = pos.size() - 1;
        res.m_list = std::move(list);
        res.m_pos = std::move(pos);
        return res;
    }
    ListRange operator[](int u) { return ListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
    ConstListRange operator[](int u) const { return ConstListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
    int size() const { return m_n; }
    int fullSize() const { return (int)m_list.size(); }
};

} // namespace nachia
#line 6 "D:\\Programming\\VSCode\\competitive-cpp\\nachia\\graph\\graph.hpp"

namespace nachia{


struct Graph {
public:
    struct Edge{
        int from, to;
        void reverse(){ std::swap(from, to); }
    };
    using Base = std::vector<std::pair<int, int>>;
    Graph(int n = 0, bool undirected = false, int m = 0) : m_n(n), m_e(m), m_isUndir(undirected) {}
    Graph(int n, const std::vector<std::pair<int, int>>& edges, bool undirected = false) : m_n(n), m_isUndir(undirected){
        m_e.resize(edges.size());
        for(std::size_t i=0; i<edges.size(); i++) m_e[i] = { edges[i].first, edges[i].second };
    }
    template<class Cin>
    static Graph Input(Cin& cin, int n, bool undirected, int m, bool offset = 0){
        Graph res(n, undirected, m);
        for(int i=0; i<m; i++){
            int u, v; cin >> u >> v;
            res[i].from = u - offset;
            res[i].to = v - offset;
        }
        return res;
    }
    int numVertices() const noexcept { return m_n; }
    int numEdges() const noexcept { return int(m_e.size()); }
    int addNode() noexcept { return m_n++; }
    int addEdge(int from, int to){ m_e.push_back({ from, to }); return numEdges() - 1; }
    Edge& operator[](int ei) noexcept { return m_e[ei]; }
    const Edge& operator[](int ei) const noexcept { return m_e[ei]; }
    Edge& at(int ei) { return m_e.at(ei); }
    const Edge& at(int ei) const { return m_e.at(ei); }
    auto begin(){ return m_e.begin(); }
    auto end(){ return m_e.end(); }
    auto begin() const { return m_e.begin(); }
    auto end() const { return m_e.end(); }
    bool isUndirected() const noexcept { return m_isUndir; }
    void reverseEdges() noexcept { for(auto& e : m_e) e.reverse(); }
    void contract(int newV, const std::vector<int>& mapping){
        assert(numVertices() == int(mapping.size()));
        for(int i=0; i<numVertices(); i++) assert(0 <= mapping[i] && mapping[i] < newV);
        for(auto& e : m_e){ e.from = mapping[e.from]; e.to = mapping[e.to]; }
        m_n = newV;
    }
    std::vector<Graph> induce(int num, const std::vector<int>& mapping) const {
        int n = numVertices();
        assert(n == int(mapping.size()));
        for(int i=0; i<n; i++) assert(-1 <= mapping[i] && mapping[i] < num);
        std::vector<int> indexV(n), newV(num);
        for(int i=0; i<n; i++) if(mapping[i] >= 0) indexV[i] = newV[mapping[i]]++;
        std::vector<Graph> res; res.reserve(num);
        for(int i=0; i<num; i++) res.emplace_back(newV[i], isUndirected());
        for(auto e : m_e) if(mapping[e.from] == mapping[e.to] && mapping[e.to] >= 0) res[mapping[e.to]].addEdge(indexV[e.from], indexV[e.to]);
        return res;
    }
    CsrArray<int> getEdgeIndexArray(bool undirected) const {
        std::vector<std::pair<int, int>> src;
        src.reserve(numEdges() * (undirected ? 2 : 1));
        for(int i=0; i<numEdges(); i++){
            auto e = operator[](i);
            src.emplace_back(e.from, i);
            if(undirected) src.emplace_back(e.to, i);
        }
        return CsrArray<int>::Construct(numVertices(), src);
    }
    CsrArray<int> getEdgeIndexArray() const { return getEdgeIndexArray(isUndirected()); }
    CsrArray<int> getAdjacencyArray(bool undirected) const {
        std::vector<std::pair<int, int>> src;
        src.reserve(numEdges() * (undirected ? 2 : 1));
        for(auto e : m_e){
            src.emplace_back(e.from, e.to);
            if(undirected) src.emplace_back(e.to, e.from);
        }
        return CsrArray<int>::Construct(numVertices(), src);
    }
    CsrArray<int> getAdjacencyArray() const { return getAdjacencyArray(isUndirected()); }
private:
    int m_n;
    std::vector<Edge> m_e;
    bool m_isUndir;
};

} // namespace nachia
#line 4 "D:\\Programming\\VSCode\\competitive-cpp\\nachia\\graph\\strongly-connected-components.hpp"

namespace nachia{

struct StronglyConnectedComponents{
private:
    int m_n;
    CsrArray<int> induce;
    int componentNum;
public:

    StronglyConnectedComponents() : m_n(0), induce(), componentNum(0) {}
    StronglyConnectedComponents(Graph E) {
        int n = E.numVertices();
        m_n = n;
        std::vector<int> O(n);
        {
            auto adj = E.getAdjacencyArray();
            int Oi = n;
            std::vector<int> P(n, -1), EI(n, 0);
            for(int s=0; s<n; s++) if(P[s] == -1){
                P[s] = -2;
                int p = s;
                while(p >= 0){
                    if(EI[p] == adj[p].size()){ O[--Oi] = p; p = P[p]; continue; }
                    int q = adj[p][EI[p]++];
                    if(P[q] == -1){ P[q] = p; p = q; }
                }
            }
        }
        E.reverseEdges();
        auto adj = E.getAdjacencyArray();
        std::vector<int> sep = {0}, csr(n), vis(n,0);
        int p1 = 0, p2 = 0;
        for(int s : O) if(!vis[s]){
            csr[p2++] = s; vis[s] = 1;
            for(; p1<p2; p1++){
                int v = csr[p1];
                for(auto e : adj[v]) if(!vis[e]){ vis[e] = 1; csr[p2++] = e; }
            }
            sep.push_back(p2);
        }
        induce = CsrArray<int>::FromRaw(std::move(csr), std::move(sep));
        componentNum = induce.size();
    }

    int numComponents() const noexcept { return componentNum; }
    const CsrArray<int>& getCsr() const noexcept { return induce; }
    std::vector<int> getMapping() const {
        std::vector<int> res(m_n);
        for(int i=0; i<numComponents(); i++) for(int v : induce[i]) res[v] = i;
        return res;
    }
};

} // namespace nachia
#line 1 "D:\\Programming\\VSCode\\competitive-cpp\\nachia\\vec.hpp"

#line 3 "D:\\Programming\\VSCode\\competitive-cpp\\nachia\\vec.hpp"
#include <iterator>
#line 5 "D:\\Programming\\VSCode\\competitive-cpp\\nachia\\vec.hpp"

template<class Elem> struct vec;
struct iotai;

template<class Iter>
struct seq_view{
    using Ref = typename std::iterator_traits<Iter>::reference;
    using Elem = typename std::iterator_traits<Iter>::value_type;
    Iter a, b;
    Iter begin() const { return a; }
    Iter end() const { return b; }
    int size() const { return (int)(b-a); }
    seq_view(Iter first, Iter last) : a(first), b(last) {}
    seq_view sort() const { std::sort(a, b); return *this; }
    Ref& operator[](int x){ return *(a+x); }
    template<class F, class ret = vec<int>> ret sorti(F f) const {
        ret x(iotai(0), iotai(size()));
        x().sort([&](int l, int r){ return f(a[l],a[r]); });
        return x;
    }
    template<class ret = vec<Elem>> ret col() const { return ret(begin(), end()); }
    template<class F> seq_view sort(F f) const { std::sort(a, b, f); return *this; }
    Iter uni() const { return std::unique(a, b); }
    Iter lb(const Elem& x) const { return std::lower_bound(a, b, x); }
    Iter ub(const Elem& x) const { return std::upper_bound(a, b, x); }
    template<class F> Iter lb(const Elem& x, F f) const { return std::lower_bound(a, b, x, f); }
    template<class F> Iter ub(const Elem& x, F f) const { return std::upper_bound(a, b, x, f); }
    template<class F> Iter when_true_to_false(F f) const {
        if(a == b) return a;
        return std::lower_bound(a, b, *a,
            [&](const Elem& x, const Elem& y){ return f(x); });
    }
    seq_view same(Elem x) const { return { lb(x), ub(x) }; }
    template<class F> auto map(F f) const {
        vec<typename Iter::value_type> r;
        for(auto& x : *this) r.emp(f(x));
        return r;
    }
    Iter max() const { return std::max_element(a, b); }
    Iter min() const { return std::min_element(a, b); }
    seq_view rev() const { std::reverse(a, b); return *this; }
};

struct iotai {
    using i64 = long long;
    using Me = iotai;
    using value_type = i64;
    using iterator_category = std::random_access_iterator_tag;
    using difference_type = ptrdiff_t;
    using pointer = i64*;
    using reference = i64&;
    i64 x;
    iotai(i64 y) : x(y) {}
    i64 operator*() const { return x; }
    std::size_t operator-(Me a) const { return x - a.x; }
    Me operator++(){ return { (i64)(++x) }; }
    Me operator--(){ return { (i64)(--x) }; }
    Me operator++(int){ return { (i64)(x++) }; }
    Me operator--(int){ return { (i64)(x--) }; }
    Me operator+(std::size_t a) const { return { (i64)(x+a) }; }
    Me operator-(std::size_t a) const { return { (i64)(x-a) }; }
    static seq_view<iotai> range(i64 l, i64 r){ return { Me{l}, Me{r} }; }
};

template<class Elem>
struct vec {
    using Base = typename std::vector<Elem>;
    using Iter = typename Base::iterator;
    using CIter = typename Base::const_iterator;
    using View = seq_view<Iter>;
    using CView = seq_view<CIter>;

    vec(){}
    explicit vec(int n, const Elem& value = Elem()) : a(0<n?n:0, value) {}
    template <class I2> vec(I2 first, I2 last) : a(first, last) {}
    vec(std::initializer_list<Elem> il) : a(std::move(il)) {}
    operator Base() const { return a; }

    Iter begin(){ return a.begin(); }
    CIter begin() const { return a.begin(); }
    Iter end(){ return a.end(); }
    CIter end() const { return a.end(); }
    int size() const { return a.size(); }
    vec sortunied(){ vec x = *this; x().sort(); x.a.erase(x().uni(), x.end()); return x; }
    Iter operator()(int x){ return (x < 0 ? a.end() : a.begin()) + x; }
    CIter operator()(int x) const { return (x < 0 ? a.end() : a.begin()) + x; }
    View operator()(int l, int r){ return { (*this)(l), (*this)(r) }; }
    CView operator()(int l, int r) const { return { (*this)(l), (*this)(r) }; }
    View operator()(){ return (*this)(0,size()); }
    CView operator()() const { return (*this)(0,size()); }
    Elem& operator[](int x){ return *((*this)(x)); }
    const Elem& operator[](int x) const { return *((*this)(x)); }
    Base& operator*(){ return a; }
    const Base& operator*() const { return a; }
    template<class... Args>
    vec& emp(Args &&... args){
        a.emplace_back(std::forward<Args>(args) ...);
        return *this;
    }
    template<class Range>
    vec& app(Range& x){ for(auto& v : a) emp(v); }
    Elem pop(){
        Elem x = std::move(a.back());
        a.pop_back(); return x;
    }
    Base a;
};
#line 8 "..\\Main.cpp"
using namespace std;
using i32 = int;
using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;
#define rep(i,n) for(int i=0; i<(int)(n); i++)
const i64 INF = 1001001001001001001;

using Modint = atcoder::static_modint<998244353>;


int main(){
    int N; cin >> N;
    vector<i64> L(N, INF);
    L[0] = 0;
    nachia::Graph graph(N, false);
    for(int i=1; i<N; i++){
        i64 l, a; cin >> l >> a; a--;
        graph.addEdge(a, i);
        L[i] = l;
    }
    auto adj = graph.getAdjacencyArray();
    auto scc = nachia::StronglyConnectedComponents(graph).getCsr();
    vec<i64> dp(N, INF);
    dp[0] = 0;
    rep(i,scc.size()) for(int v : scc[i]){
        dp[v] = max(dp[v], L[v]);
        for(int w : adj[v]) dp[w] = min(dp[v], dp[w]);
    }
    auto q = dp;
    q().sort();
    int Q; cin >> Q;
    rep(i,Q){
        int t; cin >> t;
        if(t == 1){
            i64 x; cin >> x;
            cout << (q().ub(x) - q(0)) << '\n';
        }
        if(t == 2){
            i64 y; cin >> y; y--;
            i64 ans = dp[y];
            if(ans == INF) ans = -1;
            cout << ans << '\n';
        }
    }
    return 0;
}



struct ios_do_not_sync{
    ios_do_not_sync(){
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
    }
} ios_do_not_sync_instance;