結果

問題 No.2841 Leaf Eater
ユーザー hitonanodehitonanode
提出日時 2024-08-09 23:17:37
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
WA  
実行時間 -
コード長 10,756 bytes
コンパイル時間 2,202 ms
コンパイル使用メモリ 196,676 KB
実行使用メモリ 14,968 KB
最終ジャッジ日時 2024-08-09 23:17:42
合計ジャッジ時間 4,022 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,812 KB
testcase_01 WA -
testcase_02 WA -
testcase_03 WA -
testcase_04 WA -
testcase_05 WA -
testcase_06 AC 24 ms
6,944 KB
testcase_07 AC 21 ms
6,944 KB
testcase_08 WA -
testcase_09 AC 35 ms
14,968 KB
testcase_10 WA -
testcase_11 WA -
testcase_12 AC 45 ms
11,952 KB
testcase_13 WA -
testcase_14 WA -
testcase_15 WA -
testcase_16 WA -
testcase_17 WA -
testcase_18 WA -
testcase_19 AC 21 ms
6,940 KB
testcase_20 WA -
testcase_21 WA -
testcase_22 WA -
testcase_23 WA -
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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 <memory>
#include <numeric>
#include <optional>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#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> 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; }
const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); }
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); }
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); }
template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <class 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 <class 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 <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);

template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; }
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::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) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr)
#else
#define dbg(x) ((void)0)
#define dbgif(cond, x) ((void)0)
#endif


int mex(const vector<int> &v) {
    const int N = v.size();
    vector<int> mex(N + 1);
    for (int x : v) {
        if (x < N) mex.at(x) = 1;
    }

    REP(i, N + 1) {
        if (!mex.at(i)) return i;
    }

    assert(false);
}


int calc_grundy(const vector<int> &par) {
    const int N = par.size();
    vector<int> grundy(1 << N, -1);
    grundy.at(1) = 0;
    FOR(S, 2, 1 << N) {
        bool bad = false;
        int is_leaf = S;

        REP(i, N) {
            if (!((S >> i) & 1)) continue;
            const int p = par.at(i);
            if (p == -1) continue;
            if (!((S >> p) & 1)) bad = true;

            is_leaf &= ~(1 << p);
        }

        if (bad) continue;

        // vector<int> gs;
        int gsmask = 0;
        for (int leaf = is_leaf; leaf; leaf = (leaf - 1) & is_leaf) {
            gsmask |= 1 << grundy.at(S ^ leaf);
            // gs.push_back(grundy.at(S ^ leaf));
        }

        int g = 0;
        while (gsmask & (1 << g)) ++g;
        grundy.at(S) = g;
        // grundy.at(S) = mex(gs);
    }

    return grundy.back();
}


struct rand_int_ {
    using lint = long long;
    std::mt19937 mt;
    rand_int_() : mt(std::chrono::steady_clock::now().time_since_epoch().count()) {}
    lint operator()(lint x) { return this->operator()(0, x); } // [0, x)
    lint operator()(lint l, lint r) {
        std::uniform_int_distribution<lint> d(l, r - 1);
        return d(mt);
    }
} rnd;

int main() {

    for (long long ntry = 1;; ntry++) {
        break;
        int n = rnd(6, 20);
        vector<int> par(n, -1);
        par.at(1) = 0;
        FOR(i, 2, n) {
            par.at(i) = rnd(1, i);
        }
        if (calc_grundy(par) == 0) {
            dbg(par);
        }
        if (__builtin_popcountll(ntry) == 1) {
            dbg(ntry);
            // dbg(par);
        }
    }
    


    int T;
    cin >> T;
    while (T--) {
        int N;
        cin >> N;
        vector<vector<int>> child(N);
        vector<int> par(N, -1);
        FOR(i, 1, N) {
            int p;
            cin >> p;
            --p;
            par.at(i) = p;
            child.at(p).push_back(i);
        }

        // // isP[v] = 「v の部分木ゲームで、させない方が負けのルールで、後手が勝てるか？」
        // // isN[v] = 「v の部分木ゲームで、させない方が勝ちのルールで、後手が勝てるか？」
        // vector<int> isP(N), isN(N);

        // auto rec = [&](auto &&self, int now) -> void {

        //     if (child.at(now).empty()) {
        //         isP.at(now) = 1;
        //         return;
        //     }

        //     for (int nxt : child.at(now)) {
        //         self(self, nxt);
        //     }

        //     isP.at(now) = 1;
        //     isN.at(now) = 1;
        //     for (int nxt : child.at(now)) {
        //         if (!isN.at(nxt)) isP.at(now) = 0;
        //         if (!isP.at(nxt)) isN.at(now) = 0;
        //     }
        // };
        // rec(rec, 0);
        // dbg(isP);
        // dbg(isN);

        vector<int> mods;

        auto check = [&](int x) -> bool {
            if (child.at(x).empty()) return false;

            int depth = 1;
            while (child.at(x).size() == 1) {
                ++depth;
                x = child.at(x).front();
            }


            if (child.at(x).empty()) return depth % 2 == 0;

            mods.push_back(depth % 2);

            bool res = true;
            auto rec = [&](auto &&self, int now, bool sgn, int ddd) -> void {
                for (int nxt : child.at(now)) {
                    self(self, nxt, !sgn, ddd + 1);
                }

                if (child.at(now).size() != 1 and sgn) res = false;
            };
            rec(rec, x, false, depth);

            return res;
        };

        bool is_p = true;
        for (int c : child.at(0)) {
            if (!check(c)) {
                // dbg(c);
                is_p = false;
                break;
            }
        }

        if (sort_unique(mods).size() > 1) is_p = false;

        // auto g = calc_grundy(par);

        cout << (is_p ? "Second" : "First") << '\n';
    }
}
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