#pragma GCC optimize ("-O3") #include 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 #define unique(v) v.erase( unique(v.begin(), v.end()), v.end() ); 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; #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; using vb = vector; using vs = vector; using vd = vector; using vc = vector; using vp = vector

; using vt = vector; #define vec vector #define o_vvt(o1, o2, o3, o4, name, ...) name #define vvt0(t) vec> #define vvt1(t, a) vec>a #define vvt2(t, a, b) vec>a(b) #define vvt3(t, a, b, c) vec> a(b,vec(c)) #define vvt4(t, a, b, c, d) vec> a(b,vec(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 vector make_v(size_t a) { return vector(a); } template auto make_v(size_t a, Ts... ts) { return vector(ts...))>(a, make_v(ts...)); } #define vni(name, ...) auto name = make_v(__VA_ARGS__) #define vnb(name, ...) auto name = make_v(__VA_ARGS__) #define vns(name, ...) auto name = make_v(__VA_ARGS__) #define vnd(name, ...) auto name = make_v(__VA_ARGS__) #define vnc(name, ...) auto name = make_v(__VA_ARGS__) #define vnp(name, ...) auto name = make_v

(__VA_ARGS__) #define v3i(a, b, c, d) vector> a(b, vector(c, vi(d))) #define v3d(a, b, c, d) vector> a(b, vector(c, vd(d))) #define v3m(a, b, c, d) vector> a(b, vector(c, vm(d))) #define _vvi vector #define _vvl vector #define _vvb vector #define _vvs vector #define _vvd vector #define _vvc vector #define _vvp vector #define PQ priority_queue, greater > #define tos to_string using mapi = map; using mapd = map; using mapc = map; using maps = map; using seti = set; using setd = set; using setc = set; using sets = set; using qui = queue; #define bset bitset #define uset unordered_set #define mset multiset //#define umap unordered_map //#define umapi unordered_map //#define umapp unordered_map #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::min(); ll mi = numeric_limits::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 inline void sort(vector &a) { sort(a.begin(), a.end()); }; template inline void sort(vector &a, int len) { sort(a.begin(), a.begin() + len); }; template inline void sort(vector &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