結果

問題 No.529 帰省ラッシュ
ユーザー バイトバイト
提出日時 2019-10-05 15:57:52
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 668 ms / 4,500 ms
コード長 44,394 bytes
コンパイル時間 4,052 ms
コンパイル使用メモリ 252,852 KB
実行使用メモリ 102,608 KB
最終ジャッジ日時 2023-07-28 12:39:11
合計ジャッジ時間 13,185 ms
ジャッジサーバーID
(参考情報)
judge14 / judge15
このコードへのチャレンジ(β)

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 8 ms
12,980 KB
testcase_01 AC 8 ms
12,908 KB
testcase_02 AC 8 ms
13,036 KB
testcase_03 AC 9 ms
13,156 KB
testcase_04 AC 14 ms
13,876 KB
testcase_05 AC 15 ms
13,944 KB
testcase_06 AC 14 ms
13,612 KB
testcase_07 AC 14 ms
13,760 KB
testcase_08 AC 579 ms
70,876 KB
testcase_09 AC 551 ms
68,864 KB
testcase_10 AC 598 ms
76,188 KB
testcase_11 AC 605 ms
76,904 KB
testcase_12 AC 451 ms
57,936 KB
testcase_13 AC 487 ms
102,608 KB
testcase_14 AC 577 ms
77,220 KB
testcase_15 AC 663 ms
83,372 KB
testcase_16 AC 668 ms
86,764 KB
testcase_17 AC 620 ms
92,588 KB
testcase_18 AC 607 ms
94,588 KB
testcase_19 AC 605 ms
92,780 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 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

using vi = vector<int>;
#define _overloadvvi(_1, _2, _3, _4, name, ...) name
#define vvi0() vec<vi>
#define vvi1(a) vec<vi> a
#define vvi2(a, b) vec<vi> a(b)
#define vvi3(a, b, c) vec<vi> a(b,vi(c))
#define vvi4(a, b, c, d) vec<vi> a(b,vi(c,d))
#define vvi(...) _overloadvvi(__VA_ARGS__,vvi4,vvi3,vvi2 ,vvi1,vvi0)(__VA_ARGS__)


using vl = vector<ll>;
#define _overloadvvl(_1, _2, _3, _4, name, ...) name
#define vvl1(a) vec<vl> a
#define vvl2(a, b) vec<vl> a(b)
#define vvl3(a, b, c) vec<vl> a(b,vl(c))
#define vvl4(a, b, c, d) vec<vl> a(b,vl(c,d))
#define vvl(...) _overloadvvl(__VA_ARGS__,vvl4,vvl3,vvl2 ,vvl1)(__VA_ARGS__)

using vb = vector<bool>;
#define _overloadvvb(_1, _2, _3, _4, name, ...) name
#define vvb1(a) vec<vb> a
#define vvb2(a, b) vec<vb> a(b)
#define vvb3(a, b, c) vec<vb> a(b,vb(c))
#define vvb4(a, b, c, d) vec<vb> a(b,vb(c,d))
#define vvb(...) _overloadvvb(__VA_ARGS__,vvb4,vvb3,vvb2 ,vvb1)(__VA_ARGS__)

using vs = vector<string>;
#define _overloadvvs(_1, _2, _3, _4, name, ...) name
#define vvs1(a) vec<vs> a
#define vvs2(a, b) vec<vs> a(b)
#define vvs3(a, b, c) vec<vs> a(b,vs(c))
#define vvs4(a, b, c, d) vec<vs> a(b,vs(c,d))
#define vvs(...) _overloadvvs(__VA_ARGS__,vvs4,vvs3,vvs2 ,vvs1)(__VA_ARGS__)

using vd = vector<double>;
#define _overloadvvd(_1, _2, _3, _4, name, ...) name
#define vvd1(a) vec<vd> a
#define vvd2(a, b) vec<vd> a(b)
#define vvd3(a, b, c) vec<vd> a(b,vd(c))
#define vvd4(a, b, c, d) vec<vd> a(b,vd(c,d))
#define vvd(...) _overloadvvd(__VA_ARGS__,vvd4,vvd3,vvd2 ,vvd1)(__VA_ARGS__)

using vc=vector<char>;
#define _overloadvvc(_1, _2, _3, _4, name, ...) name
#define vvc1(a) vec<vc> a
#define vvc2(a, b) vec<vc> a(b)
#define vvc3(a, b, c) vec<vc> a(b,vc(c))
#define vvc4(a, b, c, d) vec<vc> a(b,vc(c,d))
#define vvc(...) _overloadvvc(__VA_ARGS__,vvc4,vvc3,vvc2 ,vvc1)(__VA_ARGS__)

using vp = vector<P>;
#define _overloadvvp(_1, _2, _3, _4, name, ...) name
#define vvp1(a) vec<vp> a
#define vvp2(a, b) vec<vp> a(b)
#define vvp3(a, b, c) vec<vp> a(b,vp(c))
#define vvp4(a, b, c, d) vec<vp> a(b,vp(c,d))

using vt = vector<T>;
#define _overloadvvt(_1, _2, _3, _4, name, ...) name
#define vvt1(a) vec<vt> a
#define vvt2(a, b) vec<vt> a(b)
#define vvt3(a, b, c) vec<vt> a(b,vt(c))
#define vvt4(a, b, c, d) vec<vt> a(b,vt(c,d))

#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(i,n) cin >> a[i];
#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) resize(a,h,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];

//デバッグ
#define sp << " " <<

#define debugName(VariableName) # VariableName

#define _deb1(x) cerr <<  debugName(x)<<" = "<<x << endl
#define _deb2(x, y) cerr <<  debugName(x)<<" = "<<x<<", "<< debugName(y)<<" = "<<y<< endl
#define _deb3(x, y, z) cerr <<  debugName(x)<<" = "<<x  << ", " <<  debugName(y)<<" = "<<y <<", " debugName(z)<<" = "<<z <<endl
#define _deb4(x, y, z, a) cerr <<  debugName(x)<<" = "<<x <<", " <<   debugName(y)<<" = "<<y <<", " <<  debugName(z)<<" = "<<z <<", " <<  debugName(a)<<" = "<<a<<endl
#define _deb5(x, y, z, a, b) cerr <<  debugName(x)<<" = "<<x <<", " <<   debugName(y)<<" = "<<y <<", " <<  debugName(z)<<" = "<<z <<", " <<  debugName(a)<<" = "<<a<<", " <<  debugName(b)<<" = "<<b<<endl


#define _overloadebug(_1, _2, _3, _4, _5, name, ...) name
#define debug(...) _overloadebug(__VA_ARGS__,_deb5,_deb4,_deb3,_deb2,_deb1)(__VA_ARGS__)
#define deb(...) _overloadebug(__VA_ARGS__,_deb5,_deb4,_deb3,_deb2,_deb1)(__VA_ARGS__)
#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;
}
int n, m, k, d, H, W, x, y, z, q;
int cou;
vi a, b, c;
vvi (s, 0, 0);
vvc (ba, 0, 0);
vp p;

/*@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 m, int minus = 1) {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> 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
        cerr << "---tree---" << endl;        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] << ", ";            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
        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];    }    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;    }    void for_each_l/*O(N) 頂点に対しての処理順が可換*/(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);    }    void for_each_/*[l,r) O(log(N))*/   (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...); }};;
undigraph<> g(2 * k5);

template<typename T> struct LowLink { /*@formatter:off*/   undigraph<T> &g;    vector<int> used, ord, low;    vector<int> articulation;    vector<pair<int, int> > bridge;    LowLink(undigraph<T> &g) : g(g) {}    int dfs(int idx, int k, int par) {        used[idx] = true;        ord[idx] = k++;        low[idx] = ord[idx];        bool is_articulation = false;        int cnt = 0;        forg(gi, g[idx]) {            if (!used[t]) {                ++cnt;                k = dfs(t, k, idx);                low[idx] = min(low[idx], low[t]);                is_articulation |= ~par && low[t] >= ord[idx];                if (ord[idx] < low[t]) bridge.emplace_back(minmax(idx, (int) t));            } else if (t != par) { low[idx] = min(low[idx], ord[t]); }        }        is_articulation |= par == -1 && cnt > 1;        if (is_articulation) articulation.push_back(idx);        return k;    }    virtual void build() {        used.assign(g.n, 0);        ord.assign(g.n, 0);        low.assign(g.n, 0);        int k = 0;        for (int i = 0; i < g.n; i++) { if (!used[i]) k = dfs(i, k, -1); }    }};
template<typename T = int> class scc_un : LowLink<T> { /****************************************************************************/using LL = LowLink<T>;using LL::g;void dfs(int idx, int par, int &k) {        if (~par && this->ord[par] >= this->low[idx]) bel_[idx] = bel_[par];        else bel_[idx] = k++;        forg(gi, g[idx]){            if (bel_[t] == -1) dfs(t, idx, k);        }    }    vi bel_;
public :
    int operator[](const int &k) {return bel_[k];}
    void build(undigraph<> &comp) {LL::build();        bel_.assign(this->g.size(), -1);        int k = 0;        for (int i = 0; i < bel_.size(); i++) { if (bel_[i] == -1) dfs(i, -1, k); }        comp.resize(k);        for (auto &e : this->bridge) {            int x = bel_[e.first], y = bel_[e.second];            comp.add(x, y);        }        list.resize(sz(bel_));        rep(i, bel_.size()) { list[bel_[i]].push_back(i); }
#ifdef _DEBUG
        cerr << "---scc_un_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;
#endif
    }
    scc_un(undigraph<> &g) : LL(g) {}
    scc_un(undigraph<> &g, undigraph<> &comp) : LL(g) { build(comp); }
    //[i]  := iが所属するグループid
    int bel(int i){return bel_[i];}
    int operator()(int i){return bel_[i];}
    vector<vi> list; //[gi] := giに所属する頂点集合
};
tree<> comp(0);//縮約後のグラフ をもつ

template<class M=int> struct segmax {/*@formatter:off*/int n;vector<M> seg; M f(M a,M b){        return a > b ? a : b;    }const M e = MIN(M);
segmax(int len,M init_value=MIN(M)):e(init_value){    n = 1;    int asz = len;    while (n <= asz)n <<= 1;    seg.assign((n << 1) - 1, e);    rep(i, asz) seg[i + n - 1] =e;    rer(i, n - 2)seg[i] = f(seg[(i << 1) | 1], seg[(i << 1) + 2]);    debu();}
segmax(vector<M>& dat,M init_value=MIN(M)) :e(init_value){n = 1;        int asz = dat.size();        while (n <= asz)n <<= 1;        seg.assign((n << 1) - 1, e);        rep(i, asz) seg[i + n - 1] = dat[i];        rer(i, n - 2)seg[i] = f(seg[(i << 1) | 1], seg[(i << 1) + 2]);   debu(); }void update(int k, M v) {int tk=k;        seg[k + n - 1] = v;        k += n - 1;        while (k) {            k = (k - 1) >> 1;            seg[k] = f(seg[(k << 1) | 1], seg[(k << 1) + 2]);        }        debup(tk, v);    }void del(int k) { update(k, e); }void add(int k, int v) { update(k, v + seg[k + n - 1]); }M query_bottomup(int l, int r) {        int tl = l, tr = r;        M retl = e;        M retr = e;        l += n - 1;        r += n - 1;        while (l < r) {            /*右なら、次に右上へ移動してしまうので*/            if (!(l & 1)) { retl = f(retl, seg[l]); }            /*右なら、左を取らないと機会を逃す*/            if (!(r & 1)) { retr = f(seg[r - 1], retr); }            l >>= 1;            r = (r - 1) >> 1;        }        M ret = f(retl, retr);        debge(tl, tr, ret);        return ret;    }    M query(int a, int b, int k, int l, int r) {        if (r <= a || b <= l)return e;        else if (a <= l && r <= b)return seg[k];        else {            M sl = query(a, b, (k << 1) | 1, l, (l + r) >> 1);            M sr = query(a, b, (k << 1) + 2, (l + r) >> 1, r);            return f(sl, sr);        }    }/*    M get(int a = 0, int b = -1) { return query(a, b == -1 ? n : b, 0, 0, n); }*/    M get(int a, int b) { return query_bottomup(a, min(b, n)); }    M get(int b = inf) { return query_bottomup(0, min(b, n)); }    int operator()(int b = inf) { return get(0, b); }    int operator()(int a, int b) { return get(a, b); }    M operator[](int k) { return seg[k + n - 1]; }
#ifdef _DEBUG
    void debu() {        rep(i, min(n, 10ll)) {            int v = operator[](i);            if (v == MIN(ll) || v == MAX(ll)) { cerr << "e "; } else { cerr << v << " "; }        }        cerr << "" << endl << endl;    }    void debup(int k, int v) {        cerr << "upd : [" << k << "] = " << v << endl;        debu();    }    void debge(int l, int r, M v) {        cerr << "get : [" << l << ", " << r << ") = " << v << endl;        debu();    }
#else
    void debu(){;}    void debup(int k,int v){;}    void debge(int l,int r,M v){;}/*@formatter:on*/
#endif
};

priority_queue<int> pq[k5];//大きい順
signed main() {
    cin >> n >> m >> q;
//    g.resize(n);
    g.ing(n, m);
    scc_un<> sc(g, comp);
    segmax<int> seg(k5, -1);
    mapi whe;
    rep(i, q) {
        int t;
        cin >> t;
        auto get = [&](int i) {
            i = sc.bel(i);
            i = comp.bel(i);
            return i;
        };
        //uにwが現れる
        if (t == 1) {
            int u, v;
            cin >> u >> v;
            u = comp(sc(u - 1));
            if (seg[u] < v)seg.update(u, v);
            pq[u].push(v);
            whe[v] = u;
        } else {
//            int s, t;
//            cin >> s >> t;
//            --s, --t;
//            s=sc(s);
//            t=sc(t);
//            int res = -1;
//            auto f = [&](int l, int r) {
//                chma(res, seg.get(l, r));
//            };
//            comp.for_each_(s,t,f);
//            cout << res << endl;
//            if (res == -1)con;
//            int p = whe[res];
//            pq[p].pop();
//            if(pq[p].empty())seg.update(p,-1);
//            else seg.update(p,pq[p].top());


//            int s, t;
//            cin >> s >> t;
//            s = comp(sc(s - 1));
//            t = comp(sc(t - 1));
//            int res = -1;
//            comp.for_each_(s, t, [&](int s, int t) { chma(res, seg(s, t)); });
            int s, t;
            cin >> s >> t;
            --s, --t;
            s=sc(s);
            t=sc(t);
            int res = -1;
            auto f = [&](int l, int r) {
                chma(res, seg.get(l, r));
            };
            comp.for_each_(s,t,f);
            if (res != -1) {
                int p = whe[res];
                pq[p].pop();
                if (sz(pq[p])) {
                    seg.update(p, pq[p].top());
                } else {
                    seg.update(p, -1);
                }
            }
            cout << res << endl;
        }
    }

    return 0;
}
0