結果

問題 No.916 Encounter On A Tree
ユーザー バイトバイト
提出日時 2019-10-25 23:33:58
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 433 ms / 2,000 ms
コード長 48,017 bytes
コンパイル時間 3,355 ms
コンパイル使用メモリ 232,052 KB
実行使用メモリ 323,928 KB
最終ジャッジ日時 2024-09-13 09:14:33
合計ジャッジ時間 19,487 ms
ジャッジサーバーID
(参考情報)
judge5 / judge2
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 69 ms
25,608 KB
testcase_01 AC 70 ms
25,616 KB
testcase_02 AC 413 ms
322,948 KB
testcase_03 AC 403 ms
322,468 KB
testcase_04 AC 410 ms
322,268 KB
testcase_05 AC 423 ms
323,096 KB
testcase_06 AC 413 ms
322,748 KB
testcase_07 AC 408 ms
322,688 KB
testcase_08 AC 118 ms
63,204 KB
testcase_09 AC 167 ms
101,120 KB
testcase_10 AC 69 ms
25,656 KB
testcase_11 AC 70 ms
25,604 KB
testcase_12 AC 423 ms
323,492 KB
testcase_13 AC 433 ms
322,604 KB
testcase_14 AC 407 ms
323,928 KB
testcase_15 AC 414 ms
323,632 KB
testcase_16 AC 164 ms
99,972 KB
testcase_17 AC 409 ms
322,748 KB
testcase_18 AC 70 ms
25,624 KB
testcase_19 AC 428 ms
323,652 KB
testcase_20 AC 416 ms
323,396 KB
testcase_21 AC 423 ms
322,376 KB
testcase_22 AC 425 ms
322,600 KB
testcase_23 AC 424 ms
323,020 KB
testcase_24 AC 423 ms
322,356 KB
testcase_25 AC 423 ms
322,468 KB
testcase_26 AC 269 ms
175,640 KB
testcase_27 AC 268 ms
175,776 KB
testcase_28 AC 167 ms
100,096 KB
testcase_29 AC 414 ms
322,676 KB
testcase_30 AC 428 ms
322,272 KB
testcase_31 AC 417 ms
322,468 KB
testcase_32 AC 422 ms
322,352 KB
testcase_33 AC 265 ms
175,876 KB
testcase_34 AC 163 ms
101,508 KB
testcase_35 AC 120 ms
63,040 KB
testcase_36 AC 417 ms
322,856 KB
testcase_37 AC 417 ms
322,172 KB
testcase_38 AC 166 ms
100,860 KB
testcase_39 AC 418 ms
323,444 KB
testcase_40 AC 428 ms
322,904 KB
testcase_41 AC 69 ms
25,408 KB
testcase_42 AC 69 ms
25,332 KB
testcase_43 AC 70 ms
25,348 KB
testcase_44 AC 69 ms
25,340 KB
testcase_45 AC 119 ms
62,972 KB
testcase_46 AC 71 ms
25,328 KB
testcase_47 AC 69 ms
25,336 KB
testcase_48 AC 69 ms
25,392 KB
testcase_49 AC 69 ms
25,348 KB
testcase_50 AC 69 ms
25,328 KB
testcase_51 AC 71 ms
25,344 KB
testcase_52 AC 69 ms
25,428 KB
testcase_53 AC 70 ms
25,468 KB
testcase_54 AC 69 ms
25,364 KB
testcase_55 AC 70 ms
25,652 KB
testcase_56 AC 70 ms
25,984 KB
testcase_57 AC 71 ms
26,556 KB
testcase_58 AC 73 ms
27,812 KB
testcase_59 AC 76 ms
30,044 KB
testcase_60 AC 81 ms
34,776 KB
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 #

//#pragma GCC optimize ("-O3")
#include <bits/stdc++.h>
using namespace std;
//@起動時
struct initon {
    initon() {
        cin.tie(0);
        ios::sync_with_stdio(false);
        cout.setf(ios::fixed);
        cout.precision(16);
        srand((unsigned) clock() + (unsigned) time(NULL));
    };
} __initon;
//衝突対策
#define ws ___ws
struct T {
    int f, s, t;
    T() { f = -1, s = -1, t = -1; }
    T(int f, int s, int t) : f(f), s(s), t(t) {}
    bool operator<(const T &r) const {
        return f != r.f ? f < r.f : s != r.s ? s < r.s : t < r.t;
        //return f != r.f ? f > r.f : s != r.s ? s > r.s : t > r.t; 大きい順
    }
    bool operator>(const T &r) const {
        return f != r.f ? f > r.f : s != r.s ? s > r.s : t > r.t;
        //return f != r.f ? f > r.f : s != r.s ? s > r.s : t > r.t; 小さい順
    }
    bool operator==(const T &r) const {
        return f == r.f && s == r.s && t == r.t;
    }
    bool operator!=(const T &r) const {
        return f != r.f || s != r.s || t != r.t;
    }
    int operator[](int i) {
        assert(i < 3);
        return i == 0 ? f : i == 1 ? s : t;
    }
};
#define int long long
#define ll long long
#define double long double
#define pow powl
#define ull unsigned long long
using dou = double;
using itn = int;
using str = string;
using bo= bool;
#define au auto
using P = pair<ll, ll>;

#define fi first
#define se second
#define vec vector
#define beg begin
#define rbeg rbegin
#define con continue
#define bre break
#define brk break
#define is ==


//マクロ省略系 コンテナ


//マクロ省略系 コンテナ
using vi = vector<ll>;
using vb = vector<bool>;
using vs = vector<string>;
using vd = vector<double>;
using vc = vector<char>;
using vp = vector<P>;
using vt = vector<T>;

#define vec vector
#define o_vvt(o1, o2, o3, o4, name, ...) name
#define vvt0(t) vec<vec<t>>
#define vvt1(t, a) vec<vec<t>>a
#define vvt2(t, a, b) vec<vec<t>>a(b)
#define vvt3(t, a, b, c) vec<vec<t>> a(b,vec<t>(c))
#define vvt4(t, a, b, c, d) vec<vec<t>> a(b,vec<t>(c,d))

#define vvi(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(ll,__VA_ARGS__)
#define vvb(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(bool,__VA_ARGS__)
#define vvs(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(string,__VA_ARGS__)
#define vvd(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(double,__VA_ARGS__)
#define vvc(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(char,__VA_ARGS__)
#define vvp(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(P,__VA_ARGS__)
#define vvt(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(T,__VA_ARGS__)

template<typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template<typename T, typename... Ts> auto make_v(size_t a, Ts... ts) { return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...)); }
#define vni(name, ...) auto name = make_v<ll>(__VA_ARGS__)
#define vnb(name, ...) auto name = make_v<bool>(__VA_ARGS__)
#define vns(name, ...) auto name = make_v<string>(__VA_ARGS__)
#define vnd(name, ...) auto name = make_v<double>(__VA_ARGS__)
#define vnc(name, ...) auto name = make_v<char>(__VA_ARGS__)
#define vnp(name, ...) auto name = make_v<P>(__VA_ARGS__)

#define v3i(a, b, c, d) vector<vector<vi>> a(b, vector<vi>(c, vi(d)))
#define v3d(a, b, c, d) vector<vector<vd>> a(b, vector<vd>(c, vd(d)))
#define v3m(a, b, c, d) vector<vector<vm>> a(b, vector<vm>(c, vm(d)))

#define _vvi vector<vi>
#define _vvl vector<vl>
#define _vvb vector<vb>
#define _vvs vector<vs>
#define _vvd vector<vd>
#define _vvc vector<vc>
#define _vvp vector<vp>

#define PQ priority_queue<ll, vector<ll>, greater<ll> >
#define tos to_string
using mapi = map<int, int>;
using mapd = map<dou, int>;
using mapc = map<char, int>;
using maps = map<str, int>;
using seti = set<int>;
using setd = set<dou>;
using setc = set<char>;
using sets = set<str>;
using qui = queue<int>;
#define bset bitset
#define uset unordered_set
#define mset multiset
#define umap unordered_map
#define umapi unordered_map<int,int>
#define umapp unordered_map<P,int>
#define mmap multimap

//マクロ 繰り返し
#define _overloadrep(_1, _2, _3, _4, name, ...) name
# define _rep(i, n) for(int i = 0,_lim=n; i < _lim ; i++)
#define repi(i, m, n) for(int i = m,_lim=n; i < _lim ; i++)
#define repadd(i, m, n, ad) for(int i = m,_lim=n; i < _lim ; i+= ad)
#define rep(...) _overloadrep(__VA_ARGS__,repadd,repi,_rep,)(__VA_ARGS__)
#define _rer(i, n) for(int i = n; i >= 0 ; i--)
#define reri(i, m, n) for(int i = m,_lim=n; i >= _lim ; i--)
#define rerdec(i, m, n, dec) for(int i = m,_lim=n; i >= _lim ; i-=dec)
#define rer(...) _overloadrep(__VA_ARGS__,rerdec,reri,_rer,)(__VA_ARGS__)
#define fora(a, b) for(auto&& a : b)

//マクロ 定数
#define k3 1010
#define k4 10101
#define k5 101010
#define k6 1010101
#define k7 10101010
const int inf = (int) 1e9 + 100;
const ll linf = (ll) 1e18 + 100;
const double eps = 1e-9;
const double PI = 3.1415926535897932384626433832795029L;
ll ma = numeric_limits<ll>::min();
ll mi = numeric_limits<ll>::max();
const int y4[] = {-1, 1, 0, 0};
const int x4[] = {0, 0, -1, 1};
const int y8[] = {0, 1, 0, -1, -1, 1, 1, -1};
const int x8[] = {1, 0, -1, 0, 1, -1, 1, -1};

//マクロ省略形 関数等
#define arsz(a) (sizeof(a)/sizeof(a[0]))
#define sz(a) ((int)(a).size())
#define rs resize
#define mp make_pair
#define pb push_back
#define pf push_front
#define eb emplace_back
#define all(a) (a).begin(),(a).end()
#define rall(a) (a).rbegin(),(a).rend()


inline void sort(string &a) { sort(a.begin(), a.end()); }
template<class T> inline void sort(vector<T> &a) { sort(a.begin(), a.end()); };
template<class T> inline void sort(vector<T> &a, int len) { sort(a.begin(), a.begin() + len); };
template<class T, class F> inline void sort(vector<T> &a, F f) { sort(a.begin(), a.end(), [&](T l, T r) { return f(l) < f(r); }); };
enum ___pcomparator {
    fisi, fisd, fdsi, fdsd, sifi, sifd, sdfi, sdfd
};
inline void sort(vector<P> &a, ___pcomparator type) {
    switch (type) {
        case fisi:
            sort(all(a), [&](P l, P r) { return l.fi != r.fi ? l.fi < r.fi : l.se < r.se; });
            break;
        case fisd:
            sort(all(a), [&](P l, P r) { return l.fi != r.fi ? l.fi < r.fi : l.se > r.se; });
            break;
        case fdsi:
            sort(all(a), [&](P l, P r) { return l.fi != r.fi ? l.fi > r.fi : l.se < r.se; });
            break;
        case fdsd:
            sort(all(a), [&](P l, P r) { return l.fi != r.fi ? l.fi > r.fi : l.se > r.se; });
            break;
        case sifi:
            sort(all(a), [&](P l, P r) { return l.se != r.se ? l.se < r.se : l.fi < r.fi; });
            break;
        case sifd:
            sort(all(a), [&](P l, P r) { return l.se != r.se ? l.se < r.se : l.fi > r.fi; });
            break;
        case sdfi:
            sort(all(a), [&](P l, P r) { return l.se != r.se ? l.se > r.se : l.fi < r.fi; });
            break;
        case sdfd:
            sort(all(a), [&](P l, P r) { return l.se != r.se ? l.se > r.se : l.fi > r.fi; });
            break;
    }
};
inline void sort(vector<T> &a, ___pcomparator type) {
    switch (type) {
        case fisi:
            sort(all(a), [&](T l, T r) { return l.f != r.f ? l.f < r.f : l.s < r.s; });
            break;
        case
            fisd:
            sort(all(a), [&](T l, T r) { return l.f != r.f ? l.f < r.f : l.s > r.s; });
            break;
        case
            fdsi:
            sort(all(a), [&](T l, T r) { return l.f != r.f ? l.f > r.f : l.s < r.s; });
            break;
        case
            fdsd:
            sort(all(a), [&](T l, T r) { return l.f != r.f ? l.f > r.f : l.s > r.s; });
            break;
        case
            sifi:
            sort(all(a), [&](T l, T r) { return l.s != r.s ? l.s < r.s : l.f < r.f; });
            break;
        case
            sifd:
            sort(all(a), [&](T l, T r) { return l.s != r.s ? l.s < r.s : l.f > r.f; });
            break;
        case
            sdfi:
            sort(all(a), [&](T l, T r) { return l.s != r.s ? l.s > r.s : l.f < r.f; });
            break;
        case
            sdfd:
            sort(all(a), [&](T l, T r) { return l.s != r.s ? l.s > r.s : l.f > r.f; });
            break;
    }
};
template<class T> inline void rsort(vector<T> &a) { sort(a.begin(), a.end(), greater<T>()); };
template<class T> inline void rsort(vector<T> &a, int len) { sort(a.begin(), a.begin() + len, greater<T>()); };
template<class U, class F> inline void rsort(vector<U> &a, F f) { sort(a.begin(), a.end(), [&](U l, U r) { return f(l) > f(r); }); };
template<class U> inline void sortp(vector<U> &a, vector<U> &b) {
    vp c;
    int n = sz(a);
    assert(n == sz(b));
    rep(i, n)c.eb(a[i], b[i]);
    sort(c);
    rep(i, n) {
        a[i] = c[i].first;
        b[i] = c[i].second;;
    }
};
//F = T<T>
//例えばreturn p.fi + p.se;
template<class U, class F> inline void sortp(vector<U> &a, vector<U> &b, F f) {
    vp c;
    int n = sz(a);
    assert(n == sz(b));
    rep(i, n)c.eb(a[i], b[i]);
    sort(c, f);
    rep(i, n) {
        a[i] = c[i].first;
        b[i] = c[i].second;
    }
};
template<class U, class F> inline void sortp(vector<U> &a, vector<U> &b, char type) {
    vp c;
    int n = sz(a);
    assert(n == sz(b));
    rep(i, n)c.eb(a[i], b[i]);
    sort(c, type);
    rep(i, n) {
        a[i] = c[i].first;
        b[i] = c[i].second;
    }
};
template<class U> inline void rsortp(vector<U> &a, vector<U> &b) {
    vp c;
    int n = sz(a);
    assert(n == sz(b));
    rep(i, n)c.eb(a[i], b[i]);
    rsort(c);
    rep(i, n) {
        a[i] = c[i].first;
        b[i] = c[i].second;
    }
};
template<class U, class F> inline void rsortp(vector<U> &a, vector<U> &b, F f) {
    vp c;
    int n = sz(a);
    assert(n == sz(b));
    rep(i, n)c.eb(a[i], b[i]);
    rsort(c, f);
    rep(i, n) {
        a[i] = c[i].first;
        b[i] = c[i].second;
    }
};
template<class U> inline void sortt(vector<U> &a, vector<U> &b, vector<U> &c) {
    vt r;
    int n = sz(a);
    assert(n == sz(b));
    assert(n == sz(c));
    rep(i, n)r.eb(a[i], b[i], c[i]);
    sort(r);
    rep(i, n) {
        a[i] = r[i].f;
        b[i] = r[i].s;
        c[i] = r[i].t;
    }
};
template<class U, class F> inline void sortt(vector<U> &a, vector<U> &b, vector<U> &c, F f) {
    vt r;
    int n = sz(a);
    assert(n == sz(b));
    assert(n == sz(c));
    rep(i, n)r.eb(a[i], b[i], c[i]);
    sort(r, f);
    rep(i, n) {
        a[i] = r[i].f;
        b[i] = r[i].s;
        c[i] = r[i].t;
    }
};
template<class U, class F> inline void rsortt(vector<U> &a, vector<U> &b, vector<U> &c, F f) {
    vt r;
    int n = sz(a);
    assert(n == sz(b));
    assert(n == sz(c));
    rep(i, n)r.eb(a[i], b[i], c[i]);
    rsort(r, f);
    rep(i, n) {
        a[i] = r[i].f;
        b[i] = r[i].s;
        c[i] = r[i].t;
    }
};
template<class T> inline void sort2(vector<vector<T>> &a) { for (int i = 0, n = a.size(); i < n; i++)sort(a[i]); }
template<class T> inline void rsort2(vector<vector<T>> &a) { for (int i = 0, n = a.size(); i < n; i++)rsort(a[i]); }
template<typename A, size_t N, typename T> void fill(A (&a)[N], const T &v) { rep(i, N)a[i] = v; }
template<typename A, size_t N, size_t O, typename T> void fill(A (&a)[N][O], const T &v) { rep(i, N)rep(j, O)a[i][j] = v; }
template<typename A, size_t N, size_t O, size_t P, typename T> void fill(A (&a)[N][O][P], const T &v) { rep(i, N)rep(j, O)rep(k, P)a[i][j][k] = v; }
template<typename A, size_t N, size_t O, size_t P, size_t Q, typename T> void fill(A (&a)[N][O][P][Q], const T &v) { rep(i, N)rep(j, O)rep(k, P)rep(l, Q)a[i][j][k][l] = v; }
template<typename A, size_t N, size_t O, size_t P, size_t Q, size_t R, typename T> void fill(A (&a)[N][O][P][Q][R], const T &v) { rep(i, N)rep(j, O)rep(k, P)rep(l, Q)rep(m, R)a[i][j][k][l][m] = v; }
template<typename A, size_t N, size_t O, size_t P, size_t Q, size_t R, size_t S, typename T> void fill(A (&a)[N][O][P][Q][R][S], const T &v) { rep(i, N)rep(j, O)rep(k, P)rep(l, Q)rep(m, R)rep(n, S)a[i][j][k][l][m][n] = v; }

template<typename V, typename T>
void fill(V &xx, const T vall) {
    xx = vall;
}
template<typename V, typename T>
void fill(vector<V> &vecc, const T vall) {
    for (auto &&vx: vecc) fill(vx, vall);
}

//@汎用便利関数 入力
template<typename T = int> T _in() {
    T x;
    cin >> x;
    return (x);
}
#define _overloadin(_1, _2, _3, _4, name, ...) name
#define in0() _in()
#define in1(a) cin>>a
#define in2(a, b) cin>>a>>b
#define in3(a, b, c) cin>>a>>b>>c
#define in4(a, b, c, d) cin>>a>>b>>c>>d
#define in(...) _overloadin(__VA_ARGS__,in4,in3,in2 ,in1,in0)(__VA_ARGS__)

#define _overloaddin(_1, _2, _3, _4, name, ...) name
#define din1(a) int a;cin>>a
#define din2(a, b) int a,b;cin>>a>>b
#define din3(a, b, c) int a,b,c;cin>>a>>b>>c
#define din4(a, b, c, d) int a,b,c,d;cin>>a>>b>>c>>d
#define din(...) _overloadin(__VA_ARGS__,din4,din3,din2 ,din1)(__VA_ARGS__)

#define _overloaddind(_1, _2, _3, _4, name, ...) name
#define din1d(a) int a;cin>>a;a--
#define din2d(a, b) int a,b;cin>>a>>b;a--,b--
#define din3d(a, b, c) int a,b,c;cin>>a>>b>>c;a--,b--,c--
#define din4d(a, b, c, d) int a,b,c,d;cin>>a>>b>>c>>d;;a--,b--,c--,d--
#define dind(...) _overloaddind(__VA_ARGS__,din4d,din3d,din2d ,din1d)(__VA_ARGS__)


string sin() { return _in<string>(); }
ll lin() { return _in<ll>(); }
#define na(a, n) a.resize(n); rep(nai,n) cin >> a[nai];
#define nao(a, n) a.resize(n+1); rep(i,n) cin >> a[i+1];
#define nad(a, n) a.resize(n); rep(i,n){ cin >> a[i]; a[i]--;}
#define na2(a, b, n) a.resize(n),b.resize(n);rep(i, n)cin >> a[i] >> b[i];
#define na2d(a, b, n) a.resize(n),b.resize(n);rep(i, n){cin >> a[i] >> b[i];a[i]--,b[i]--;}
#define na3(a, b, c, n) a.resize(n),b.resize(n),c.resize(n);   rep(i, n)cin >> a[i] >> b[i] >> c[i];
#define na3d(a, b, c, n) a.resize(n),b.resize(n),c.resize(n);   rep(i, n){cin >> a[i] >> b[i] >> c[i];a[i]--,b[i]--,c[i]--;}
#define nt(a, h, w) a.resize(h);rep(i,h)a[i].resize(w); rep(hi,h)rep(wi,w) cin >> a[hi][wi];
#define ntd(a, h, w) rs(a,h,w);rep(hi,h)rep(wi,w) cin >> a[hi][wi], a[hi][wi]--;
#define ntp(a, h, w) fill(a,'#');rep(hi,1,h+1)rep(wi,1,w+1) cin >> a[hi][wi];

#ifdef _DEBUG
template<class T> void err2(T &&head) { cerr << head; }
template<class T, class... U> void err2(T &&head, U &&... tail) {
    cerr << head << " ";
    err2(tail...);
}
template<class T, class... U> void err(T &&head, U &&... tail) {
    cerr << head << " ";
    err2(tail...);
    cerr << "" << endl;
}
template<class T> void err(T &&head) { cerr << head << endl; }
void err() { cerr << "" << endl; }
template<class T> string out_m2(vector<T> &a, ll W = inf) {
    stringstream ss;
    if (W == inf)W = min(sz(a), 12ll);
    if (sz(a) == 0)return ss.str();
    rep(i, W) { ss << a[i] << " "; }
    return ss.str();
}
template<class T> string out_m2(vector<vector<T> > &a, ll H = inf, ll W = inf, int key = -1) {
    H = min({H, sz(a), 12ll});
    W = min({W, sz(a[0]), 12ll});
    stringstream ss;
    ss << endl;
    if (key == -1)ss << " *|"; else ss << " " << key << "|";
    rep(w, W)ss << std::right << std::setw(4) << w;
    ss << "" << endl;
    rep(w, W * 4 + 3)ss << "_";
    ss << "" << endl;
    rep(h, H) {
        ss << std::right << std::setw(2) << h << "|";
        rep(w, min(sz(a[h]), 12ll)) { if (abs(a[h][w]) == linf) ss << "   e" << ""; else ss << std::right << std::setw(4) << a[h][w]; }
        ss << "" << endl;
    }
    return ss.str();
}
/*@formatter:off*/
template<class T> string out_m2(vector<vector<vector<T> > > &a, ll H = inf, ll W = inf, ll U = inf) {stringstream ss;    if (H == inf)H = 5;    H = min(H, sz(a));    rep(i, H) {        ss << endl;        ss << out_m2(a[i], W, U, i);    }       return ss.str();}
string out_m2(int a) {stringstream ss;ss << a;return ss.str();}
template<class T> string out_m2(T &a) {stringstream ss;ss << a;return ss.str();}

template<class T> string out_m(vector<T> &a, ll W = inf) {stringstream ss;    if (W == inf)W = min(sz(a), 12ll);   if(sz(a)==0)return ss.str();   rep(i, W) { ss << a[i] << " "; }    ss << "" << endl;    return ss.str();}
template<class T> string out_m(vector<vector<T> > &a, ll H = inf, ll W = inf, int key = -1) {
    H = min({H, sz(a), 12ll});
    W = min({W, sz(a[0]), 12ll});
    stringstream ss;
    ss << endl;
    if (key == -1)ss << " *|"; else ss << " " << key << "|";
    rep(w, W)ss << std::right << std::setw(4) << w;
    ss << "" << endl;
    rep(w, W * 4 + 3)ss << "_";
    ss << "" << endl;
    rep(h, H) {
        ss << std::right << std::setw(2) << h << "|";
        rep(w, min(sz(a[h]),12ll)) { if (abs(a[h][w]) == linf) ss << "   e" << ""; else ss << std::right << std::setw(4) << a[h][w]; }
        ss << "" << endl;
    }
    ss << endl;
    return ss.str();
}
/*@formatter:off*/
template<class T> string out_m(vector<vector<vector<T> > > &a, ll H = inf, ll W = inf, ll U = inf) {stringstream ss;    if (H == inf)H = 5;    H = min(H, sz(a));    rep(i, H) {        ss << endl;        ss << out_m(a[i], W, U, i);    }    ss << endl;    return ss.str();}
string out_m(int a) {stringstream ss;ss << a << endl;return ss.str();}
template<class T> string out_m(T &a) {stringstream ss;ss << a << endl;return ss.str();}
template<class T> void outv(vector<T> &a, ll W=inf) {cout << out_m(a,W) << endl;}
template<class T> void outv(vector<vector<T> > &a, ll H = linf, ll W = linf,int key=-1) {    cout << out_m(a,H,W,key) << endl;}
template<class T> void outv(vector<vector<vector<T> > > &a, ll H = linf, ll W = linf,ll U = linf) {cout << out_m(a,H,W,U)<< endl;}
#else
template<class T> void outv(vector<T> &a, ll W = inf) {
    rep(i, min(W, sz(a))) { cout << a[i] << " "; }
    cout << "" << endl;
}
template<class T> void outv(vector<vector<T> > &a, ll H = linf, ll W = linf, int key = -1) { rep(i, min(H, sz(a))) { outv(a[i], W); }}
template<class T> void outv(vector<vector<vector<T> > > &a, ll H = linf, ll W = linf, ll U = linf) { ; }
#define err(...);
#endif

#define debugName(VariableName) # VariableName

#define deb1(x)  debugName(x)<<" = "<<out_m2(x)
#define deb2(x, ...) deb1(x) <<", "<< deb1(__VA_ARGS__)
#define deb3(x, ...) deb1(x) <<", "<< deb2(__VA_ARGS__)
#define deb4(x, ...) deb1(x) <<", "<< deb3(__VA_ARGS__)
#define deb5(x, ...) deb1(x) <<", "<< deb4(__VA_ARGS__)
#define deb6(x, ...) deb1(x) <<", "<< deb5(__VA_ARGS__)
#define deb7(x, ...) deb1(x) <<", "<< deb6(__VA_ARGS__)
#define deb8(x, ...) deb1(x) <<", "<< deb7(__VA_ARGS__)
#define deb9(x, ...) deb1(x) <<", "<< deb8(__VA_ARGS__)
#define deb10(x, ...) deb1(x) <<", "<< deb9(__VA_ARGS__)

#define o_ebug(o1, o2, o3, o4, o5, o6, o7, o8, o9, o10, name, ...) name

#ifdef _DEBUG
#define deb(...)  cerr<< o_ebug(__VA_ARGS__,deb10,deb9,deb8,deb7,deb6,deb5,deb4,deb3,deb2,deb1)(__VA_ARGS__) <<endl
#else
#define deb(...) ;
#endif
#define debugline(x) cerr << x << " " << "(L:" << __LINE__ << ")" << '\n'
void ole() {
#ifdef _DEBUG
    debugline("ole");
    exit(0);
#endif
    string a = "a";
    rep(i, 30)a += a;
    rep(i, 1 << 17)cout << a << endl;
    cout << "OLE 出力長制限超過" << endl;
    exit(0);
}
void tle() { while (inf)cout << inf << endl; }
ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
ll gcd(vi b) {
    ll res = b[0];
    for (auto &&v :b)res = gcd(v, res);
    return res;
}
ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
ll rev(ll a) {
    ll res = 0;
    while (a) {
        res *= 10;
        res += a % 10;
        a /= 10;
    }
    return res;
}
template<class T> void rev(vector<T> &a) {
    reverse(all(a));
}
void rev(string &a) {
    reverse(all(a));
}
ll ceil(ll a, ll b) {
    if (b == 0) {
        debugline("ceil");
        deb(a, b);
        ole();
        return -1;
    } else return (a + b - 1) / b;
}
ll sqrt(ll a) {
    if (a < 0) {
        debugline("sqrt");
        deb(a);
        ole();
    }
    ll res = (ll) std::sqrt(a);
    while (res * res < a)res++;
    return res;
}
double log(double e, double x) { return log(x) / log(e); }
ll sig(ll t) { return (1 + t) * t / 2; }
ll sig(ll s, ll t) { return (s + t) * (t - s + 1) / 2; }

vi divisors(int v) {
    vi res;
    double lim = std::sqrt(v);
    for (int i = 1; i <= lim; ++i) {
        if (v % i == 0) {
            res.pb(i);
            if (i != v / i)res.pb(v / i);
        }
    }
    return res;
}

vb isPrime;
vi primes;

void setPrime() {
    int len = 4010101;
    isPrime.resize(4010101);
    fill(isPrime, true);
    isPrime[0] = isPrime[1] = false;
    for (int i = 2; i <= sqrt(len) + 5; ++i) {
        if (!isPrime[i])continue;
        for (int j = 2; i * j < len; ++j) {
            isPrime[i * j] = false;
        }
    }
    rep(i, len)if (isPrime[i])primes.pb(i);
}

vi factorization(int v) {
    int tv = v;
    vi res;
    if (isPrime.size() == 0)setPrime();
    for (auto &&p :primes) {
        if (v % p == 0)res.push_back(p);
        while (v % p == 0) {
            v /= p;
        }
        if (v == 1 || p * p > tv)break;
    }
    if (v > 1)res.pb(v);
    return res;
}
inline bool inside(int h, int w, int H, int W) { return h >= 0 && w >= 0 && h < H && w < W; }
inline bool inside(int v, int l, int r) { return l <= v && v < r; }
#define ins inside
ll u(ll a) { return a < 0 ? 0 : a; }
template<class T> vector<T> u(const vector<T> &a) {
    vector<T> ret = a;
    fora(v, ret)v = u(v);
    return ret;
}
#define MIN(a) numeric_limits<a>::min()
#define MAX(a) numeric_limits<a>::max()

void yn(bool a) {
    if (a)cout << "yes" << endl;
    else cout << "no" << endl;
}
void Yn(bool a) {
    if (a)cout << "Yes" << endl;
    else cout << "No" << endl;
}
void YN(bool a) {
    if (a)cout << "YES" << endl;
    else cout << "NO" << endl;
}
void fyn(bool a) {
    if (a)cout << "yes" << endl;
    else cout << "no" << endl;
    exit(0);
}
void fYn(bool a) {
    if (a)cout << "Yes" << endl;
    else cout << "No" << endl;
    exit(0);
}
void fYN(bool a) {
    if (a)cout << "YES" << endl;
    else cout << "NO" << endl;
    exit(0);
}
void Possible(bool a) {
    if (a)cout << "Possible" << endl;
    else cout << "Impossible" << endl;
    exit(0);
}
void POSSIBLE(bool a) {
    if (a)cout << "POSSIBLE" << endl;
    else cout << "IMPOSSIBLE" << endl;
    exit(0);
}
template<class T, class U> set<T> &operator+=(set<T> &a, U v) {
    a.insert(v);
    return a;
}
template<class T, class U> vector<T> &operator+=(vector<T> &a, U v) {
    a.pb(v);
    return a;
}
template<class T> T sum(vector<T> &v, int s = 0, int t = inf) {
    T ret = 0;
    rep(i, s, min(sz(v), t))ret += v[i];
    return ret;
}
void mod(int &a, int m) { a = (a % m + m) % m; }
template<class F> inline int mgr(int ok, int ng, F f) {
#define _mgrbody int mid = (ok + ng) / 2; if (f(mid))ok = mid; else ng = mid;
    if (ok < ng)while (ng - ok > 1) { _mgrbody } else while (ok - ng > 1) { _mgrbody }
    return ok;
}

template<class F> inline int mgr(int ok, int ng, int second, F f) {
#define _mgrbody2 int mid = (ok + ng) / 2; if (f(mid, second))ok = mid; else ng = mid;
    if (ok < ng) while (ng - ok > 1) { _mgrbody2 } else while (ok - ng > 1) { _mgrbody2 }
    return ok;
}
template<typename T> ostream &operator<<(ostream &os, vector<T> &m) {
    for (auto &&v:m) os << v << " ";
    return os;
}
constexpr bool bget(ll m, int keta) { return (m >> keta) & 1; }
int bget(ll m, int keta, int sinsuu) {
    m /= (ll) pow(sinsuu, keta);
    return m % sinsuu;
}
ll bit(int n) { return (1LL << (n)); }
ll bit(int n, int sinsuu) { return (ll) pow(sinsuu, n); }
int mask(int n) { return (1ll << n) - 1; }
#define bcou __builtin_popcountll
template<class T> vector<T> ruiv(vector<T> &a) {
    vector<T> ret(a.size() + 1);
    rep(i, a.size())ret[i + 1] = ret[i] + a[i];
    return ret;
}
template<class T, class U> inline bool chma(T &a, const U &b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
template<class U> inline bool chma(const U &b) { return chma(ma, b); }
template<class T, class U> inline bool chmi(T &a, const U &b) {
    if (b < a) {
        a = b;
        return true;
    }
    return false;
}
template<class U> inline bool chmi(const U &b) { return chmi(mi, b); }
#define unique(v) v.erase( unique(v.begin(), v.end()), v.end() );
int max(vi &a) {
    int res = a[0];
    fora(v, a) {
        res = max(res, v);
    }
    return res;
}
int min(vi &a) {
    int res = a[0];
    fora(v, a) {
        res = min(res, v);
    }
    return res;
}
template<typename T> class fixed_point        : T {public:    explicit constexpr fixed_point(T &&t) noexcept: T(std::forward<T>(t)) {}    template<typename... Args> constexpr decltype(auto) operator()(Args &&... args) const { return T::operator()(*this, std::forward<Args>(args)...); }};template<typename T> static inline constexpr decltype(auto) fix(T &&t) noexcept { return fixed_point<T>{std::forward<T>(t)}; }

/*@formatter:on*/

int N, K, H, W;
vi A, B, C;
//@formatter:off
//よく使うクラス、構造体
struct unionfind {
    vector<ll> par;
    vector<ll> siz;
    vector<ll> es;
    ll n, trees;//連結グループの数(親の種類)
    unionfind(ll n) : n(n), trees(n) {        par.resize(n);        siz.resize(n);        es.resize(n);        for (ll i = 0; i < n; i++) {            par[i] = i;            siz[i] = 1;        }    }
    ll root(ll x) { if (par[x] == x) { return x; } else { return par[x] = root(par[x]); }}
    bool unite(ll x, ll y) {
        x = root(x);
        y = root(y);
        es[x]++;
        if (x == y) return false;
        if (siz[x] > siz[y]) swap(x, y);
        trees--;
        par[x] = y;
        siz[y] += siz[x];
        es[y] += es[x];
        return true;
    }
    bool same(ll x, ll y) { return root(x) == root(y); }
    ll size(ll x) { return siz[root(x)]; }
    ll esize(ll x) { return es[root(x)]; }
    vi sizes(){        vi cou(n);        vi ret;        ret.reserve(n);        rep(i, n){            cou[root (i)]++;        }        rep(i, n){            if(cou[i])ret.push_back(cou[i]);        }        return ret;    }
    //つながりを無向グラフと見なし、xが閉路に含まれるか判定
    bool close(ll x) { return esize(x) >= size(x); }
    vec<vi> sets() {        vi ind(n, -1);        ll i = 0;        vvi(res, trees);        rep(j, n) {            ll r = root(j);            if (ind[r] == -1)ind[r] = i++;            res[ind[r]].push_back(j);        }        rep(i, trees) {            ll r = root(res[i][0]);            if (res[i][0] == r)continue;            rep(j, 1, sz(res[i])) {                if (res[i][j] == r) {                    swap(res[i][0], res[i][j]);                    break;                }            }        }        return res;    }
};
/*@formatter:off*/
#define forg(gi, ve) for (ll gi = 0,forglim = ve.size(), f, t, c; gi < forglim && (f = ve[gi].f, t = ve[gi].t, c = ve[gi].c, true); ++gi)
#define fort(gi, ve) for (ll gi = 0, f, t, c; gi < ve.size() && (f = ve[gi].f, t = ve[gi].t, c = ve[gi].c, true); ++gi)if(t!=p)
#define fore(gi, ve) for (ll gi = 0,forglim = ve.size(), f, t, c,ty, id; gi < forglim && (f = ve[gi].f, t = ve[gi].t, c = ve[gi].c, id=ve[gi].id, ty = ve[gi].ty, true); ++gi)

//typeが追加される
#define forg2(gi, ve) for (ll gi = 0,forglim = ve.size(), f, t, c,ty; gi < forglim && (f = ve[gi].f, t = ve[gi].t, c = ve[gi].c,ty=ve[gi].ty, true); ++gi)
#define fort2(gi, ve) for (ll gi = 0, f, t, c,ty; gi < ve.size() && (f = ve[gi].f, t = ve[gi].t, c = ve[gi].c,ty=ve[gi].ty, true); ++gi)if(t!=p)
template<class T> struct edge { int f, t; T c; int id; int ty; edge(int f, int t, T c = 1,  int ty = -1,int id = -1) : f(f), t(t), c(c), id(id), ty(ty) {} bool operator<(const edge &b) const { return c < b.c; } bool operator>(const edge &b) const { return c > b.c; }};
template<class T> ostream &operator<<(ostream &os, edge<T> &e) {    os << e.f << " " << e.t << " " << e.c;    return os;}
template<typename T> class graph {protected:    vector<bool> usedv;public :    vector<vector<edge<T>>> g;    vector<edge<T>> edges;    int n;    graph(int n) : n(n) { g.resize(n), usedv.resize(n); }    void clear() { g.clear(), edges.clear(); }    void resize(int n) {        this->n = n;        g.resize(n);        usedv.resize(n);    }    int size() { return g.size(); }    vector<edge<T> > &operator[](int i) { return g[i]; }    virtual void add(int f, int t, T c, int ty ,int id) = 0;    virtual bool used(edge<T> &e) = 0;    virtual bool used(int id) = 0;    virtual void del(edge<T> &e) = 0;    virtual void del(int id) = 0;    virtual void set_edges() = 0;};
template<typename T =ll> class digraph : public graph<T> {
public:
    using graph<T>::g;
    using graph<T>::n;
    using graph<T>::edges;
    using graph<T>::usedv;
    int eid = 0;

    digraph(int n) : graph<T>(n) {}
    void add(int f, int t, T c = 1, int ty = -1,int id = -1) {
        if (!(0 <= f && f < n && 0 <= t && t < n)) {
            debugline("digraph add");
            deb(f, t, c, ty,id);
            ole();
        }
        if (id == -1)id = eid++;
        g[f].emplace_back(f, t, c, ty,id);
        edges.emplace_back(f, t, c, ty,id);
    }
    void ing(int n,int m, int minus = 1) {    this->resize(n);    rep(i, m) {            int f, t;            cin >> f >> t;            f -= minus;            t -= minus;            add(f, t);        }    }
    void ingc(int n,int m, int minus = 1) {   this->resize(n);     rep(i, m) {            int f, t, c;            cin >> f >> t >> c;            f -= minus;            t -= minus;            add(f, t,c);        }    }
    void ingct(int n,int m, int minus = 1) {  this->resize(n);      rep(i, m) {            int f, t, c,ty;            cin >> f >> t >> c>>ty;            f -= minus;            t -= minus;            ty -= minus;            add(f, t,c,ty);        }    }
    void ingtc(int n,int m, int minus = 1) {  this->resize(n);      rep(i, m) {            int f, t, c,ty;            cin >> f >> t >> ty>>c;            f -= minus;            t -= minus;            ty -= minus;            add(f, t,c,ty);        }    }
    bool used(edge<T> &e) { return usedv[e.id]; }
    bool used(int id) { return usedv[id]; }
    void del(edge<T> &e) { usedv[e.id] =  1; }
    void del(int id) { usedv[id] =  1; }
    void set_edges() {        if (sz(edges))return;        rep(i, n)fora(e, g[i])edges.push_back(e);    }
};
template<class T=int> class undigraph : public graph<T> {
public:
    using graph<T>::g;    using graph<T>::n;    using graph<T>::edges;    using graph<T>::usedv;
    int eid = 0;
    undigraph(int n) : graph<T>(n) {}
    // f < t
    void add(int f, int t, T c = 1, int ty = -1, int id = -1) {
        if (!(0 <= f && f < n && 0 <= t && t < n)) {
            debugline("undigraph add");
            deb(f, t, c, ty, id);
            ole();
        }
        if (id == -1)id = eid++;
        g[f].emplace_back(f, t, c, ty, id);
        g[t].emplace_back(t, f, c, ty, id);
        edges.emplace_back(f, t, c, ty, id);//
        edges.emplace_back(t, f, c, ty, id);
    }
    void add(edge<T> &e) {        int f = e.f, t = e.t, ty = e.ty;        T c = e.c;        add(f, t, c, ty);    }
    void ing(int n,int m, int minus = 1) {      this->resize(n);  rep(i, m) {            int f, t;            cin >> f >> t;            f -= minus;            t -= minus;            add(f, t);        }    }    void ingc(int n, int m, int minus = 1) {rep(i, m) {       this->resize(n);     int f, t, c;            cin >> f >> t >> c;            f -= minus;            t -= minus;            add(f, t, c);        }}
    void ingct(int n,int m, int minus = 1) {     this->resize(n);   rep(i, m) {            int f, t, c, ty;            cin >> f >> t >> c >> ty;            f -= minus;            t -= minus;            ty -= minus;            add(f, t, c, ty);        }    }
    void ingtc(int n,int m, int minus = 1) {      this->resize(n);  rep(i, m) {            int f, t, c, ty;            cin >> f >> t >> ty >> c;            f -= minus;            t -= minus;            ty -= minus;            add(f, t, c, ty);        }    }    bool used(edge<T> &e) { return usedv[e.id]; }
    bool used(int id) { return usedv[id]; }
    void del(edge<T> &e) { usedv[e.id] = 1; }
    void del(int id) { usedv[id] = 1; }
    void set_edges() {        if (sz(edges))return;        rep(i, n)fora(e, g[i])edges.push_back(e);    }
};
template<class T> class MinOp { public: T operator()(T a, T b) { return min(a, b); }};
template<typename OpFunc> struct SparseTable {
    OpFunc op;
    signed size;
    vector<signed> lg;
    vector<vector<pair<signed, signed>>> table;
    void init(const vector<pair<signed, signed>> &array, OpFunc opfunc) {
        signed n = array.size();
        op = opfunc;
        lg.assign(n + 1, 0);
        for (signed i = 1; i <= n; i++) { lg[i] = 31 - __builtin_clz(i); }
        table.assign(lg[n] + 1, array);
        for (signed i = 1; i <= lg[n]; i++) { for (signed j = 0; j < n; j++) { if (j + (1 << (i - 1)) < n) { table[i][j] = op(table[i - 1][j], table[i - 1][j + (1 << (i - 1))]); } else { table[i][j] = table[i - 1][j]; }}}
    }
    pair<signed, signed> query(signed l, signed r) {
        assert(l < r);
        return op(table[lg[r - l]][l], table[lg[r - l]][r - (1 << lg[r - l])]);
    }
};
struct PMORMQ {
    vector<signed> a;
    SparseTable<MinOp<pair<signed, signed> > > sparse_table;
    vector<vector<vector<signed> > > lookup_table;
    vector<signed> block_type;
    signed block_size, n_block;
    void init(const vector<signed> &array) {
        a = array;
        signed n = a.size();
        block_size = std::max(1, (31 - __builtin_clz(n)) / 2);
        while (n % block_size != 0) {
            a.push_back(a.back() + 1);
            n++;
        }
        n_block = n / block_size;
        vector<pair<signed, signed> > b(n_block, make_pair(INT_MAX, INT_MAX));
        for (signed i = 0; i < n; i++) { b[i / block_size] = min(b[i / block_size], make_pair(a[i], i)); }
        sparse_table.init(b, MinOp<pair<signed, signed> >());
        block_type.assign(n_block, 0);
        for (signed i = 0; i < n_block; i++) {
            signed cur = 0;
            for (signed j = 0; j < block_size - 1; j++) {
                signed ind = i * block_size + j;
                if (a[ind] < a[ind + 1]) { cur |= 1 << j; }
            }
            block_type[i] = cur;
        }
        lookup_table.assign(1 << (block_size - 1), vector<vector<signed> >(block_size, vector<signed>(block_size + 1)));
        for (signed i = 0; i < (1 << (block_size - 1)); i++) {
            for (signed j = 0; j < block_size; j++) {
                signed res = 0;
                signed cur = 0;
                signed pos = j;
                for (signed k = j + 1; k <= block_size; k++) {
                    lookup_table[i][j][k] = pos;
                    if (i & (1 << (k - 1))) { cur++; } else { cur--; }
                    if (res > cur) {
                        pos = k;
                        res = cur;
                    }
                }
            }
        }
    }
    signed query(signed l, signed r) {
        assert(l < r);
        signed lb = l / block_size;
        signed rb = r / block_size;
        if (lb == rb) { return lb * block_size + lookup_table[block_type[lb]][l % block_size][r % block_size]; }
        signed pl = lb * block_size + lookup_table[block_type[lb]][l % block_size][block_size];
        signed pr = rb * block_size + lookup_table[block_type[rb]][0][r % block_size];
        signed pos = pl;
        if (r % block_size > 0 && a[pl] > a[pr]) { pos = pr; }
        if (lb + 1 == rb) { return pos; }
        signed spv = sparse_table.query(lb + 1, rb).second;
        if (a[pos] > a[spv]) { return spv; }
        return pos;
    }
};
template<class T=int> class tree : public undigraph<T> {
    PMORMQ rmq;
    int cnt;
    vector<signed> id, in;
    bool never = true;
    bool never_hld = true;
    void dfs(int x, int p, int d, int dis = 0) {
        id[cnt] = x;
        par[x] = p;
        dep.push_back(d);
        disv[x] = dis;
        in[x] = cnt++;
        forg(gi, g[x]) {
            if (t == p) { continue; }
            dfs(t, x, d + 1, dis + c);
            id[cnt] = x;
            dep.push_back(d);
            cnt++;
        }
    }
    void precalc() {
        never = false;
        cnt = 0;
        dep.clear();
        disv.assign(n, 0);
        in.assign(n, -1);
        id.assign(2 * n - 1, -1);
        par.assign(n, -1);
        dfs(root, -1, 0);
        rmq.init(dep);
#ifdef _DEBUG
        if(n>=100)return;
        cerr << "---tree---" << endl;
        //abcd
        rep(i, n) {
            if (!(i == root || sz(g[i]) > 1))continue;
            cerr << i << " -> ";
            vi ts;
            forg(gi, g[i]) { if (t != par[i])ts.push_back(t); }
            rep(i, sz(ts) - 1)cerr << ts[i] << ", ";
            if (sz(ts))cerr << ts.back() << endl;
        }
        cerr << endl;
#endif
    }
    int pos;
    void hld_build() {
        never_hld = false;
        if (never)precalc();
        pos = 0;
        vid.assign(n, -1);
        head.assign(n, 0);
        sub.assign(n, 1);
        hvy.assign(n, -1);
        hdep.assign(n, 0);
        inv.assign(n, 0);
        type.assign(n, 0);
        build();
#ifdef _DEBUG
        if(n>=100)return;
        cerr << "---hld_index---" << endl;
        vi inds;
        rep(i, n) if (sz(g[i]))inds.push_back(i);
        rep(i, sz(inds)) {
            str s = tos(bel(inds[i]));
            cerr << std::right << std::setw(sz(s) + (i ? 1 : 0)) << inds[i];
        }
        cerr << endl;
        rep(i, sz(inds)) { cerr << bel(inds[i]) << " "; }
        cerr << endl << endl;
        cerr << "---hld_edge_index---" << endl;
        fora(e, edges) { if (e.f <= e.t) cerr << e.f << "-" << e.t << " " << bel(e) << endl; }
        cerr << endl << endl;
#endif
    }
    void build(vector<int> rs = vector<int>(1, 0)) {
        int c = 0;
        for (int r:rs) {
            dfs(r);
            bfs(r, c++);
        }
    }
    void dfs(int rt) {
        stack<P> st;
        hdep[rt] = 0;
        st.emplace(rt, 0);
        while (!st.empty()) {
            int v = st.top().first;
            int &i = st.top().second;
            if (i < (int) g[v].size()) {
                int u = g[v][i++].t;
                if (u == par[v]) continue;
                hdep[u] = hdep[v] + 1;
                st.emplace(u, 0);
            } else {
                st.pop();
                int res = 0;
                forg(gi, g[v]) {
                    int u = t;
                    if (u == par[v]) continue;
                    sub[v] += sub[u];
                    if (res < sub[u]) res = sub[u], hvy[v] = u;
                }
            }
        }
    }
    void bfs(int r, int c) {
        int &k = pos;
        queue<int> q({r});
        while (!q.empty()) {
            int h = q.front();
            q.pop();
            for (int i = h; i != -1; i = hvy[i]) {
                type[i] = c;
                vid[i] = k++;
                inv[vid[i]] = i;
                head[i] = h;
                forg(gi, g[i])if (t != par[i] && t != hvy[i]) q.push(t);
            }
        }
    }
    vi vid;
public:
    using undigraph<T>::g;    using undigraph<T>::n;    using undigraph<T>::edges;    using undigraph<T>::usedv;
    vector<int> disv;
    vector<signed> dep, par;
    vector<int> head, sub, hvy, inv, type, hdep/*おそらくグループ内のdep*/;/*vid := bel()*/    int root;
    tree(int n_, int root = 0) : undigraph<T>(n_), root(root) { n = n_; }
    int lca(int a, int b) {
        if (never)precalc();
        int x = in[a];
        int y = in[b];
        if (x > y) { swap(x, y); }
        int pos = rmq.query(x, y + 1);
        return id[pos];
    }
    /*@formatter:on*/
    int dis(int a, int b) {
        if (never)precalc();
        int x = in[a];
        int y = in[b];
        if (x > y) { swap(x, y); }
        int pos = rmq.query(x, y + 1);
        int p = id[pos];
        return disv[a] + disv[b] - disv[p] * 2;
    }
    /*@formatter:off*/
    /*O(N) hldを使わず木を普通にたどる*/
    void for_each_l(int u, int v, function<void(int)> fnode) {        int r = lca(u, v);        while (u != r) {            fnode(u);            u = par[u];        }        while (v != r) {            fnode(v);            v = par[v];        }        fnode(r);    }
    void for_each_edge_l/*O(N) 頂点に対しての処理順が可換*/(int u, int v, function<void(edge<int> &)> fedge) {        int r = lca(u, v);        auto sub = [&](int u, int r) {            while (u != r) {                forg(gi, g[u]) {                    if (t == par[u]) {                        fedge(g[u][gi]);                        u = par[u];                        break;                    }                }            }        };        sub(u, r);        sub(v, r);    }
    /*Fは半開 (u,v)は木の頂点* /
    /*中ではhldの頂点を見るため、seg木のupdateはhldのindexで行なう*/
    void for_each_(int u, int v, const function<void(int, int)> &f) {        if (never_hld)hld_build();        while (1) {            if (vid[u] > vid[v]) swap(u, v);            int l = max(vid[head[v]], vid[u]);            int r = vid[v] + 1;            f(l, r);            if (head[u] != head[v]) v = par[head[v]]; else break;        }    }
    void for_each_edge/*[l,r) O(log(N)) 辺を頂点として扱っている 上と同じ感じで使える*/(int u, int v, const function<void(int, int)> &f) {        if (never_hld)hld_build();        while (1) {            if (vid[u] > vid[v]) swap(u, v);            if (head[u] != head[v]) {                int l = vid[head[v]];                int r = vid[v] + 1;                f(l, r);                v = par[head[v]];            } else {                if (u != v) {                    int l = vid[u] + 1;                    int r = vid[v] + 1;                    f(l, r);                }                break;            }        }    }
    int bel(int v) {        /*hld内での頂点番号を返す*/        if (never_hld)hld_build();        return vid[v];    }
    int bel(int f, int t) {        /*辺のクエリを扱うときどの頂点に持たせればいいか(vidを返すのでそのままupd出来る)*/        if (never_hld)hld_build();        return hdep[f] > hdep[t] ? vid[f] : vid[t];    }
    int bel(edge<T> &e) {        /*辺のクエリを扱うときどの頂点に持たせればいいか(vidを返すのでそのままupd出来る)*/        if (never_hld)hld_build();        return hdep[e.f] > hdep[e.t] ? vid[e.f] : vid[e.t];    }
    template<class ... U> int operator()(U ... args) { return bel(args...); }
};;
//辺によりメモリを大量消費ためedgesを消している
//頂点10^6でメモリを190MB(制限の8割)使う
//@formatter:off
//constexpr
int MOD = 1000000007;
struct mint {    int x;    mint() : x(0) {}    mint(int a) {        x = a % MOD;        if (x < 0) x += MOD;    }    mint &operator+=(mint that) {        x = (x + that.x) % MOD;        return *this;    }    mint &operator-=(mint that) {        x = (x + MOD - that.x) % MOD;        return *this;    }    mint &operator*=(mint that) {        x = (int) x * that.x % MOD;        return *this;    }    mint &operator/=(mint that) { return *this *= that.inverse(); }    mint operator-() { return mint(-this->x); }    friend ostream &operator<<(ostream &out, mint m) { return out << m.x; }    mint inverse() {        int a = x, b = MOD, u = 1, v = 0;        while (b) {            int t = a / b;            a -= t * b;            u -= t * v;            swap(a, b);            swap(u, v);        }        return mint(u);    }    operator int() const { return x; }    template<class T> mint &operator+=(T that) { return operator+=((mint) that); }    template<class T> mint &operator-=(T that) { return operator-=((mint) that); }    template<class T> mint &operator*=(T that) { return operator*=((mint) that); }    template<class T> mint &operator/=(T that) { return operator/=(that); }    mint operator+(mint that) { return mint(*this) += that; }    mint operator-(mint that) { return mint(*this) -= that; }    mint operator*(mint that) { return mint(*this) *= that; }    mint operator/(mint that) { return mint(*this) /= that; }    template<class T> mint operator+(T that) { return mint(*this) += (mint) that; }    template<class T> mint operator-(T that) { return mint(*this) -= (mint) that; }    template<class T> mint operator*(T that) { return mint(*this) *= (mint) that; }    template<class T> mint operator/(T that) { return mint(*this) /= (mint) that; }    bool operator==(mint that) const { return x == that.x; } bool operator==(signed that) const { return x == that; }   bool operator!=(mint that) const { return x != that.x; }    bool operator<(mint that) const { return x < that.x; }    bool operator<=(mint that) const { return x <= that.x; }    bool operator>(mint that) const { return x > that.x; }    bool operator>=(mint that) const { return x >= that.x; }};
istream &operator>>(istream &i, mint &a) {    i >> a.x;    return i;}
typedef vector<mint> vm;
vector<mint> fac, finv;
int mint_len = 1400000;              //既に変更されていたら変えない
void setmod(int mod = 1e9 + 7) {    /*mint_len>=modの時fac[mint_len]が0になり、下の1/fac[mint_len]で0徐算になってしまう*/    if (mint_len >= mod - 1)mint_len = mod - 1;    MOD = mod;    fac = vector<mint>(mint_len + 1);    finv = vector<mint>(mint_len + 1);    fac[0] = 1;    rep(i, 1, mint_len + 1) {        fac[i] = fac[i - 1] * i;    }    finv[mint_len] = (mint) 1 / fac[mint_len];    rer(i, mint_len, 1) {        finv[i - 1] = finv[i] * i;    }}
mint com(int a, int b) {    if (a < 0) return 0;    if (b < 0 || b > a) return 0;    return fac[a] * finv[a - b] * finv[b];}
mint hom(int a, int b) {    return com(a + b - 1, b);}
template<typename T, typename U> mint mpow(const T a, const U b) {    assert(b >= 0);    int x = a, res = 1;    U p = b;    while (p > 0) {        if (p & 1) (res *= x) %= MOD;        (x *= x) %= MOD;        p >>= 1;    }    return res;}template<typename T> inline mint mpow(const T a, const mint b) {    int x = a, res = 1;    int p = b.x;    while (p > 0) {        if (p & 1) (res *= x) %= MOD;        (x *= x) %= MOD;        p >>= 1;    }    return res;}
using PM = pair<mint, mint>;
using vm = vector<mint>;
#define vvm(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(mint,__VA_ARGS__)
#define vnm(name, ...) auto name = make_v<mint>(__VA_ARGS__)
string yuri(const mint &a) {    stringstream st;    rep(i, 300) {rep(j, 300) {if ((mint) i / j == a) {st << i << " / " << j;return st.str();}}}    rep(i, 1000) {rep(j, 1000) {if ((mint) i / j == a) {st << i << " / " << j;return st.str();}}}    return st.str();}

#define smod setmod
//setmodを呼ぶ @formatter:on

ll hbit(ll n) {
    n |= (n >> 1);
    n |= (n >> 2);
    n |= (n >> 4);
    n |= (n >> 8);
    n |= (n >> 16);
    n |= (n >> 32);
    return n - (n >> 1);
}

signed main() {
    din(D, L, R, K);
    setmod();
    //1 index
    tree<> g(bit(D), 1);
    rep(i, 1, bit(D) - bit(D - 1)) {
        g.add(i, i * 2);
        g.add(i, i * 2 + 1);
    }
    int dl = log2(hbit(L));
    int dr = log2(hbit(R));
    //d(L) != d(R)
    if (dl != dr) {
        //l kotei
        int rst = hbit(R);
        mint cou = 0;
        rep(r, rst, rst * 2) {
            if (g.dis(L, r) == K) {
                cou+=1;
            }
        }
        mint res = 1;
        rep(d, D) {
            if (d != dr) {
                res *= fac[bit(d)];
            } else {
                res *= fac[bit(d) - 1];
            }
        }
        res *= cou;
        cout << res << endl;
    } else {
        //l kotei
        int rst = hbit(R);
        mint cou = 0;
        rep(r, rst, rst * 2) {
            if (g.dis(L, r) == K) {
                cou+=1;
            }
        }
        mint res = 1;
        rep(d, D) {
            if (d != dr) {
                res *= fac[bit(d)];
            } else {
                res *= fac[bit(d) - 2] * bit(d);
                res *= cou;
            }
        }
        cout << res << endl;

    }
}
0