結果

問題 No.1524 Upward Mobility
コンテスト
ユーザー hitonanode
提出日時 2021-05-28 21:00:57
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 9,047 bytes
コンパイル時間 2,177 ms
コンパイル使用メモリ 151,396 KB
最終ジャッジ日時 2025-01-21 19:24:32
ジャッジサーバーID
（参考情報） 		judge5 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 15 WA * 16
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T> vector<T> sort_unique(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <typename T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T, size_t sz> ostream &operator<<(ostream &os, const array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
#endif
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T, typename TH> ostream &operator<<(ostream &os, const unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <typename TK, typename TV, typename TH> ostream &operator<<(ostream &os, const unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl
#define dbgif(cond, x) ((cond) ? cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << endl : cerr)
#else
#define dbg(x) (x)
#define dbgif(cond, x) 0
#endif

// Preorder Euler Tour
// （行きがけ順，部分木の頂点クエリ等に有用）
struct PreorderEulerTour {
    int V; // # of vertices of tree
    int root;
    std::vector<std::vector<int>> edges;
    std::vector<int> subtree_begin, subtree_end;
    std::vector<int> vis_order;

    void _build_dfs(int now, int prv) {
        subtree_begin[now] = vis_order.size();
        vis_order.push_back(now);
        for (auto nxt : edges[now])
            if (nxt != prv) _build_dfs(nxt, now);
        subtree_end[now] = vis_order.size();
    }
    PreorderEulerTour() = default;
    PreorderEulerTour(const std::vector<std::vector<int>> &to, int root) : V(to.size()), root(root), edges(to) {
        assert(root >= 0 and root < V);
        subtree_begin.resize(V);
        subtree_end.resize(V);
        _build_dfs(root, -1);
    }
};

// Range Minimum Query
// - RangeMinimumQuery<T, defaultT>(int N = 0) : Initialize array x = [defaultT, ..., defaultT] of length N, O(N)
// - RangeMinimumQuery<T, defaultT>(const std::vector<T> &vals) : Initialize array x by [vals[0], ..., vals[-1]], O(N)
// - update(int pos, T val) : x[pos] <- val, O(log N)
// - get(int begin, int end) : Get min(x_begin, ..., x_(end - 1)), O(log N)
template <typename T, T defaultT = std::numeric_limits<T>::max() / 2> struct RangeMinimumQuery {
    int N;
    int head;
    std::vector<T> x;
    T _get(int begin, int end, int pos, int l, int r) const {
        if (r <= begin or l >= end) return defaultT;
        if (l >= begin and r <= end) return x[pos];
        return std::min(_get(begin, end, 2 * pos + 1, l, (l + r) / 2), _get(begin, end, 2 * pos + 2, (l + r) / 2, r));
    }
    RangeMinimumQuery(int N = 0) : N(N) {
        int N_tmp = 1;
        while (N_tmp < N) N_tmp <<= 1;
        x.assign(N_tmp * 2, defaultT), head = N_tmp - 1;
    }
    void _build(const std::vector<T> &vals) {
        std::copy(vals.begin(), vals.end(), x.begin() + head);
        for (int i = head - 1; i >= 0; i--) x[i] = std::min(x[i * 2 + 1], x[i * 2 + 2]);
    }
    RangeMinimumQuery(const std::vector<T> &vals) : N(vals.size()) {
        int N_tmp = 1;
        while (N_tmp < N) N_tmp <<= 1;
        x.assign(N_tmp * 2, defaultT), head = N_tmp - 1;
        _build(vals);
    }
    void update(int pos, T val) {
        pos += head, x[pos] = val;
        while (pos) pos = (pos - 1) / 2, x[pos] = std::min(x[pos * 2 + 1], x[pos * 2 + 2]);
    }
    T get(int begin, int end) const { return _get(begin, end, 0, 0, (int)x.size() / 2); }
    friend std::ostream &operator<<(std::ostream &os, const RangeMinimumQuery &s) {
        os << '[';
        for (int i = 0; i < s.N; i++) os << s.get(i, i + 1) << ',';
        return os << ']';
    }
};

int main() {
    int N;
    cin >> N;
    vector<vector<int>> to(N);
    FOR(i, 1, N) {
        int p;
        cin >> p;
        p--;
        to[p].push_back(i);
    }
    dbg(to);
    vector<int> A(N), B(N);
    cin >> A >> B;
    PreorderEulerTour tour(to, 0);
    vector<int> ids(N);
    iota(ALL(ids), 0);
    sort(ALL(ids), [&](int i, int j) { return A[i] > A[j]; });

    vector<lint> init(N);
    RangeMinimumQuery<lint> rmq(init);

    dbg(ids);
    for (auto i : ids) {
        lint ret0 = B[i];
        for (auto j : to[i]) {
            auto g = -rmq.get(tour.subtree_begin[j], tour.subtree_end[j]);
            if (g >= 0) ret0 += g;
        }
        rmq.update(tour.subtree_begin[i], -ret0);
    }
    vector<lint> tmp(N);
    REP(i, N) tmp[i] = rmq.get(i, i + 1);
    dbg(tmp);
    auto ord = tour.vis_order;
    reverse(ALL(ord));
    vector<lint> rmq_rootfree(N);
    for (auto i : ord) {
        for (auto j : to[i]) {
            rmq_rootfree[i] += rmq_rootfree[j];
        }
        chmax(rmq_rootfree[i], -rmq.get(tour.subtree_begin[i], tour.subtree_begin[i] + 1));
    }
    dbg(rmq_rootfree);
    cout << rmq_rootfree[0] << '\n';
}
0