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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#388091#4589. White-Black Treekevinyang#WA 0ms3892kbC++208.9kb2024-04-13 11:25:392024-04-13 11:25:42

Judging History

你现在查看的是最新测评结果

  • [2024-04-13 11:25:42]
  • 评测
  • 测评结果:WA
  • 用时:0ms
  • 内存:3892kb
  • [2024-04-13 11:25:39]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

/* Macros {{{ */
/*  A lot of this is from some of Benq's submissions
    [https://codeforces.com/profile/Benq]
    Ugly af to the eyes, but with vim fold its barable
    Hopefully c++20 concepts can make all this stuff must cleaner */

/* Basics {{{ */
using ll = long long;
using ld = long double;
using str = string;

using pi = pair<int, int>;
using pll = pair<ll, ll>;
using pld = pair<ld, ld>;
#define mp make_pair
#define fi first
#define se second

#define arr array
#define ve vector
using vi = vector<int>;
using vll = vector<ll>;
using vld = vector<ld>;

using vpi = vector<pi>;
using vpll = vector<pll>;
using vpld = vector<pld>;

using vvi = vector<vi>;
using vvll = vector<vll>;
using vvld = vector<vld>;

using vvpi = vector<vpi>;
using vvpll = vector<vpll>;
using vvpld = vector<vpld>;

#define pb push_back
#define lb lower_bound
#define ub upper_bound
#define sz size()
#define rsz(a) resize(a)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()

#define For(i, a, b) for (int i = a; i < b; ++i)
#define Rof(i, a, b) for (int i = (b)-1; i >= (a); --i)
#define rep(a) For(_, 0, a)
#define each(a, x) for (auto &a : x)
#define reach(a, x) for (auto a = x.rbegin(); a != x.rend(); ++a)

template <typename T, typename U>
inline void cmin(T &x, U y) {
    if (y < x) x = y;
}
template <typename T, typename U>
inline void cmax(T &x, U y) {
    if (x < y) x = y;
}
/*}}}*/

/* IO {{{ */

/* Template Macros {{{ */
#define tcT template <class T
#define tcTU tcT, class U
#define tcTUU tcT, class... U
/*}}}*/

inline namespace Helpers { /*{{{*/
tcT, class = void > struct is_iterable : false_type {};
tcT > struct is_iterable<
          T, void_t<decltype(begin(declval<T>())), decltype(end(declval<T>()))>>
    : true_type {};
tcT > constexpr bool is_iterable_v = is_iterable<T>::value;

tcT, class = void > struct is_readable : false_type {};
tcT > struct is_readable<T, typename std::enable_if_t<is_same_v<
                                decltype(cin >> declval<T &>()), istream &>>>
    : true_type {};
tcT > constexpr bool is_readable_v = is_readable<T>::value;

tcT, class = void > struct is_printable : false_type {};
tcT > struct is_printable<T, typename std::enable_if_t<is_same_v<
                                 decltype(cout << declval<T>()), ostream &>>>
    : true_type {};
tcT > constexpr bool is_printable_v = is_printable<T>::value;
} /* namespace Helpers */
/*}}}*/

inline namespace Input { /*{{{*/
tcT > constexpr bool needs_input_v = !is_readable_v<T> && is_iterable_v<T>;
tcTUU > void re(T &t, U &...u);
tcTU > void re(pair<T, U> &p); /* pairs */

/* re: read{{{ */
tcT > typename enable_if<is_readable_v<T>, void>::type re(T &x) {
    cin >> x;
} /* default */
tcT > typename enable_if<needs_input_v<T>, void>::type re(
          T &i);                                   // vectors, arrays, etc...
tcTU > void re(pair<T, U> &p) { re(p.fi, p.se); }  // pairs
tcT > typename enable_if<needs_input_v<T>, void>::type re(T &i) {
    each(x, i) re(x);
}
tcTUU > void re(T &t, U &...u) {
    re(t);
    re(u...);
} /* read multiple}}} */

/* rv: resize and read vectors{{{ */
void rv(size_t) {}
tcTUU > void rv(size_t N, ve<T> &t, U &...u);
template <class... U>
void rv(size_t, size_t N2, U &...u);
tcTUU > void rv(size_t N, ve<T> &t, U &...u) {
    t.rsz(N);
    re(t);
    rv(N, u...);
}
template <class... U>
void rv(size_t, size_t N2, U &...u) {
    rv(N2, u...);
} /*}}}*/

/* dumb shortcuts to read in ints{{{ */
void decrement() {} /* subtract one from each */
tcTUU > void decrement(T &t, U &...u) {
    --t;
    decrement(u...);
}
#define ints(...)    \
    int __VA_ARGS__; \
    re(__VA_ARGS__);
#define int1(...)      \
    ints(__VA_ARGS__); \
    decrement(__VA_ARGS__); /*}}}*/
} /* namespace Input */
/*}}}*/

inline namespace ToString { /*{{{*/
tcT > constexpr bool needs_output_v = !is_printable_v<T> && is_iterable_v<T>;

/* ts: string representation to print */
tcT > typename enable_if<is_printable_v<T>, str>::type ts(T v) {
    stringstream ss;
    ss << fixed << setprecision(15) << v;
    return ss.str();
} /* default */
tcT > str bit_vec(T t) { /* bit vector to string */
    str res = "{";
    For(i, 0, t.sz) res += ts(t[i]);
    res += "}";
    return res;
}
str ts(ve<bool> v) { return bit_vec(v); }
template <size_t SZ>
str ts(bitset<SZ> b) {
    return bit_vec(b);
} /* bit vector */
tcTU > str ts(pair<T, U> p); /* pairs */
tcT > typename enable_if<needs_output_v<T>, str>::type ts(
          T v); /* vectors, arrays */
tcTU > str ts(pair<T, U> p) { return "(" + ts(p.fi) + ", " + ts(p.se) + ")"; }
tcT > typename enable_if<is_iterable_v<T>, str>::type ts_sep(T v, str sep) {
    /* convert container to string w/ separator sep */
    bool fst = 1;
    str res = "";
    for (const auto &x : v) {
        if (!fst) res += sep;
        fst = 0;
        res += ts(x);
    }
    return res;
}
tcT > typename enable_if<needs_output_v<T>, str>::type ts(T v) {
    return "{" + ts_sep(v, ", ") + "}";
}

/* for nested DS */
template <int, class T>
typename enable_if<!needs_output_v<T>, ve<str>>::type ts_lev(const T &v) {
    return {ts(v)};
}
template <int lev, class T>
typename enable_if<needs_output_v<T>, ve<str>>::type ts_lev(const T &v) {
    if (lev == 0 || !v.sz) return {ts(v)};
    ve<str> res;
    for (const auto &t : v) {
        if (res.sz) res.back() += ",";
        ve<str> tmp = ts_lev<lev - 1>(t);
        res.insert(end(res), all(tmp));
    }
    For(i, 0, res.sz) {
        str bef = " ";
        if (i == 0) bef = "{";
        res[i] = bef + res[i];
    }
    res.back() += "}";
    return res;
}
} /* namespace ToString */
/*}}}*/

inline namespace Output { /*{{{*/
template <class T>
void pr_sep(ostream &os, str, const T &t) {
    os << ts(t);
}
template <class T, class... U>
void pr_sep(ostream &os, str sep, const T &t, const U &...u) {
    pr_sep(os, sep, t);
    os << sep;
    pr_sep(os, sep, u...);
}
/* print w/ no spaces */
template <class... T>
void pr(const T &...t) {
    pr_sep(cout, "", t...);
}
/* print w/ spaces, end with newline */
void ps() { cout << "\n"; }
template <class... T>
void ps(const T &...t) {
    pr_sep(cout, " ", t...);
    ps();
}
/* debug to cerr */
template <class... T>
void dbg_out(const T &...t) {
    pr_sep(cerr, " | ", t...);
    cerr << endl;
}
void loc_info(int line, str names) {
    cerr << "Line(" << line << ") -> [" << names << "]: ";
}
template <int lev, class T>
void dbgl_out(const T &t) {
    cerr << "\n\n" << ts_sep(ts_lev<lev>(t), "\n") << "\n" << endl;
}
} /* namespace Output */
/*}}}}}}}}}*/

int n;
vi p, c;

vvi adj;
vll vals;

arr<ll, 2> dfs(int r) { // returns { grundy, max_possible_grundy }
    if(adj[r].sz == 0) return { c[r], 1 };

    vll chld_grundys, chld_mx_grundys;
    for(auto c : adj[r]) {
        auto [a, b] = dfs(c);
        chld_grundys.pb(a);
        chld_mx_grundys.pb(b);
    }


    vi feq(64, 0);
    for(auto v : chld_mx_grundys) {
        while(v > 0) {
            ++feq[__builtin_ctz(v)];
            v -= (v&-v);
        }
    }

    ll mx_chld_xor = 0;
    for(int i=63; i>=0; --i) {
        if(feq[i] == 1) mx_chld_xor += (1<<i);
        if(feq[i] >= 2) {
            mx_chld_xor += ((1<<(i+1))-1);
            break;
        }
    }

    // ll mx_possible_grundy = accumulate(all(chld_mx_grundys), 0ll) + 1 + mx_chld_xor;
    ll mx_possible_grundy = *max_element(all(chld_mx_grundys)) + 1 + mx_chld_xor;

    ll cur_grundy;
    // if(c[r]) cur_grundy = accumulate(all(chld_grundys), 0ll) + 1 + mx_chld_xor;
    if(c[r]) cur_grundy = *max_element(all(chld_grundys)) + 1 + mx_chld_xor;
    else cur_grundy = accumulate(all(chld_grundys), 0ll, bit_xor{});

    // grundy if c[r] is black is xor of children grundy values

    // grundy if c[r] is white is
    //  sum of children grundy values
    //  plus 1
    //  plus max xor of children grundy values

    // max possible grundy should be
    //  sum of children max possible grundys
    //  plus 1
    //  plus max xor possible of children grundys

    return { cur_grundy, mx_possible_grundy };
}

void solve() {
    re(n), rv(n-1, p), rv(n, c);
    p.insert(p.begin(), 2, 1);
    c.insert(c.begin(), 0);

    adj.assign(n+1, vi());
    for(int i=2; i<=n; ++i) adj[p[i]].pb(i);

    ps(dfs(1)[0] ? "First" : "Second");
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    /* cout << fixed << setprecision(6); */
    int t = 1;
    // cin >> t;
    for (int i = 0; i < t; i++) solve();

    return 0;
    // you should actually read the stuff at the bottom
}

/* stuff you should look for
 * int overflow, array bounds
 * special cases (n=1?)
 * do smth instead of nothing and stay organized
 * WRITE STUFF DOWN
 * DON'T GET STUCK ON ONE APPROACH
 */

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3596kb

input:

7
1 1 1 3 3 3
0 1 1 0 0 0 1

output:

First

result:

ok single line: 'First'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

5
1 1 2 3
0 1 1 0 0

output:

Second

result:

ok single line: 'Second'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

4
1 1 1
1 1 0 1

output:

First

result:

ok single line: 'First'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

2
1
0 0

output:

Second

result:

ok single line: 'Second'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

3
1 2
0 1 1

output:

First

result:

ok single line: 'First'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

3
1 2
1 1 1

output:

First

result:

ok single line: 'First'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

3
1 1
1 1 1

output:

First

result:

ok single line: 'First'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3892kb

input:

3
1 1
0 1 0

output:

First

result:

ok single line: 'First'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3552kb

input:

3
1 1
0 1 1

output:

Second

result:

ok single line: 'Second'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3632kb

input:

4
1 1 2
0 1 1 0

output:

First

result:

ok single line: 'First'

Test #11:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

4
1 1 1
0 1 1 1

output:

First

result:

ok single line: 'First'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3596kb

input:

4
1 2 3
0 1 0 1

output:

First

result:

ok single line: 'First'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3652kb

input:

5
1 1 2 2
0 1 1 1 1

output:

First

result:

ok single line: 'First'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

5
1 1 2 2
0 0 1 0 1

output:

Second

result:

ok single line: 'Second'

Test #15:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

2
1
1 0

output:

First

result:

ok single line: 'First'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3664kb

input:

5
1 1 2 2
0 1 1 0 0

output:

First

result:

ok single line: 'First'

Test #17:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

5
1 1 1 2
0 1 1 1 1

output:

First

result:

ok single line: 'First'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3608kb

input:

5
1 1 1 2
0 1 1 1 1

output:

First

result:

ok single line: 'First'

Test #19:

score: 0
Accepted
time: 0ms
memory: 3648kb

input:

5
1 1 2 3
0 1 1 1 1

output:

Second

result:

ok single line: 'Second'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

5
1 1 2 3
0 1 1 1 0

output:

First

result:

ok single line: 'First'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

6
1 1 1 3 3
0 1 0 1 1 1

output:

Second

result:

ok single line: 'Second'

Test #22:

score: 0
Accepted
time: 0ms
memory: 3660kb

input:

6
1 1 1 3 3
0 1 1 0 1 1

output:

First

result:

ok single line: 'First'

Test #23:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

8
1 2 3 4 5 6 7
0 1 1 1 1 1 1 1

output:

First

result:

ok single line: 'First'

Test #24:

score: 0
Accepted
time: 0ms
memory: 3820kb

input:

10
1 1 1 2 3 4 5 6 7
0 1 1 1 1 1 1 1 1 1

output:

First

result:

ok single line: 'First'

Test #25:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

15
1 1 2 2 3 3 4 4 5 5 6 6 7 7
0 1 0 0 1 0 0 0 0 0 0 0 0 0 1

output:

First

result:

ok single line: 'First'

Test #26:

score: 0
Accepted
time: 0ms
memory: 3604kb

input:

2
1
0 1

output:

First

result:

ok single line: 'First'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3656kb

input:

13
1 1 1 2 3 4 5 6 7 8 9 10
0 1 1 1 1 1 1 1 1 1 1 1 1

output:

First

result:

ok single line: 'First'

Test #28:

score: 0
Accepted
time: 0ms
memory: 3600kb

input:

32
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

First

result:

ok single line: 'First'

Test #29:

score: -100
Wrong Answer
time: 0ms
memory: 3656kb

input:

33
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

output:

Second

result:

wrong answer 1st lines differ - expected: 'First', found: 'Second'