結果
| 問題 |
No.898 tri-βutree
|
| コンテスト | |
| ユーザー |
 バイト
|
| 提出日時 | 2019-10-10 21:49:30 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
RE
|
| 実行時間 | - |
| コード長 | 59,420 bytes |
| コンパイル時間 | 3,430 ms |
| コンパイル使用メモリ | 234,940 KB |
| 実行使用メモリ | 28,040 KB |
| 最終ジャッジ日時 | 2024-11-21 23:52:01 |
| 合計ジャッジ時間 | 14,763 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge4 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | RE * 1 |
| other | RE * 21 |
ソースコード
//#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(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) 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, 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); } }
/*@formatter:on*/
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);
}
}
/*@formatter:off*/
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> vector<T> dijkstra(const graph<T> &g, int s, int init_value = -1) { if (!(0 <= s && s < g.n)) { debugline("dijkstra"); deb(s, g.n); ole(); } T initValue = MAX(T); vector<T> dis(g.n, initValue); priority_queue<pair<T, int>, vector<pair<T, int>>, greater<pair<T, int>>> q; dis[s] = 0; q.emplace(0, s); while (q.size()) { T nowc = q.top().fi; int i = q.top().se; q.pop(); if (dis[i] != nowc)continue; for (auto &&e : g.g[i]) { int to = e.t; T c = nowc + e.c; if (dis[to] > c) { dis[to] = c; q.emplace(dis[to], to); } } } /*基本、たどり着かないなら-1*/ for (auto &&d :dis) if (d == initValue)d = init_value; return dis;}
/*@formatter:on*/
template<class T> vector<vector<T>> dijkstra_all(const graph<T> &g, int init_value = -1) {
vector<vector<T>> dis(g.n);
rep(i, g.n) { dis[i] = dijkstra(g, i, init_value); }
return dis;
}
/*@formatter:off*/
//ret vector(dis,count); 最短経路とその通りを数える
template<class T> auto dijkstra_cou(const graph<T> &g, int s, int init_value = -1) { if (!(0 <= s && s < g.n)) { debugline("dijkstra"); deb(s, g.n); ole(); } T initValue = MAX(T); vector<T> dis(g.n, initValue); vi cou(g.n); cou[0] = 1; priority_queue<pair<T, int>, vector<pair<T, int>>, greater<pair<T, int>>> q; dis[s] = 0; q.emplace(0, s); while (q.size()) { T nowc = q.top().fi; int i = q.top().se; q.pop(); if (dis[i] != nowc)continue; for (auto &&e : g.g[i]) { int to = e.t; T c = nowc + e.c; if (dis[to] > c) { dis[to] = c; cou[to] = cou[e.f]; q.emplace(dis[to], to); } else if (dis[to] == c) { cou[to] += cou[e.f]; } } } /*基本、たどり着かないなら-1*/ for (auto &&d :dis) if (d == initValue)d = init_value; return vtop(dis, cou);}
//コストを無限に減らせる := -linf
//たどり着けない := linf
template<class T> vector<T> bell(graph<T> &g, int s) { if (g.n >= 1e4) { cout << "bell size too big" << endl; exit(0); } vector<T> res(g.n, linf); res[s] = 0; vb can(g.n); /*頂点から行けない頂点を持つ、辺を消しておく */ fix([&](auto ds, int p, int i) -> void { if (can[i])return; can[i] = true; forg(gi, g[i])if (t != p)ds(i, t); })(-1, 0); vector<edge<T>> es; fora(e, g.edges) { if (can[e.f])es += e; } rep(i, g.n) { bool upd = false; fora(e, es) { if (res[e.f] != linf && res[e.t] > res[e.f] + e.c) { upd = true; res[e.t] = res[e.f] + e.c; } } if (!upd)break; } rep(i, g.n * 2) { bool upd = 0; fora(e, g.edges) { if (res[e.f] != linf && res[e.t] != -linf && res[e.t] > res[e.f] + e.c) { upd = 1; res[e.t] = -linf; } } if (!upd)break; } return res;}
//コストを無限に増やせる := linf
//たどり着けない := -linf
template<class T> vector<T> bell_far(graph<T> &g, int s) { if (g.n >= 1e4) { cout << "bell_far size too big" << endl; exit(0); } vector<T> res(g.n, linf); res[s] = 0; vb can(g.n); /*頂点から行けない頂点を持つ、辺を消しておく*/ fix([&](auto ds, int p, int i) -> void { if (can[i])return; can[i] = true; forg(gi, g[i])if (t != p)ds(i, t); })(-1, 0); vector<edge<T>> es; fora(e, g.edges) { if (can[e.f])es += e; } rep(i, g.n) { bool upd = false; fora(e, es) { if (res[e.f] != linf && res[e.t] > res[e.f] - e.c) {/*-c*/ upd = true; res[e.t] = res[e.f] - e.c;/*-c*/ } } if (!upd)break; } rep(i, g.n * 2) { bool upd = 0; fora(e, g.edges) { if (res[e.f] != linf && res[e.t] != -linf && res[e.t] > res[e.f] - e.c) {/*-c*/ upd = 1; res[e.t] = -linf; } } if (!upd)break; } rep(i, g.n)res[i] *= -1; return res;}
template<class T> vector<vector<T>> warshall(const graph<T> &g, int init_value = -1) { int n = g.n; vector<vector<T> > dis(n, vector<T>(n, linf)); rep(i, n)fora(e, g.g[i])chmi(dis[e.f][e.t], e.c); rep(i, n)dis[i][i] = 0; rep(k, n)rep(i, n)rep(j, n)chmi(dis[i][j], dis[i][k] + dis[k][j]); /*基本、たどり着かないなら-1*/ rep(i, n)rep(j, n) if (dis[i][j] == linf)dis[i][j] = init_value; return dis;}
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> {
/*@formatter:on*/
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++;
}
}
public:
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
}
private:
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;
}
/*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
template<class T=int> class grid_k6 : public undigraph<T> {
public:
using undigraph<T>::g; using undigraph<T>::n; using undigraph<T>::edges; using undigraph<T>::usedv;
int H, W;
int eid = 0;
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("grid_k6 add");
deb(f, t, c, ty, id);
ole();
}
g[f].emplace_back(f, t, c, ty, eid++);
g[t].emplace_back(t, f, c, ty, eid++);
}
int getid(int h, int w) {
if (!ins(h, w, H, W))return -1;
return W * h + w;
}
P get2(int id) { return mp(id / W, id % W); }
P operator()(int id) { return get2(id); }
int operator()(int h, int w) { return getid(h, w); }
grid_k6(int H, int W) : H(H), W(W), undigraph<T>(H * W) {
rep(h, H) {
rep(w, W) {
int f = getid(h, w);
if (w + 1 < W) add(f, getid(h, w + 1));
if (h + 1 < H)add(f, getid(h + 1, w));
}
}
}
grid_k6(vector<vector<char>> ba, char wall = '#') : H(sz(ba)), W(sz(ba[0])), undigraph<T>(sz(ba) * sz(ba[0])) {
rep(h, H) {
rep(w, W) {
if (ba[h][w] == wall)con;
int f = getid(h, w);
if (w + 1 < W && ba[h][w + 1] != wall) { add(f, getid(h, w + 1)); }
if (h + 1 < H && ba[h + 1][w] != wall) { add(f, getid(h + 1, w)); }
}
}
}
void add(int fh, int fw, int th, int tw) { add(getid(fh, fw), getid(th, tw)); }
void set_edges() { rep(i, n)fora(e, g[i])if (e.f < e.t)edges.push_back(e); }
};
//左上から右下に移動できる
template<class T=int> class digrid_k6 : public digraph<T> {
public:
using digraph<T>::g; using digraph<T>::n; using digraph<T>::edges; using digraph<T>::usedv;
int H, W;
int eid = 0;
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("digrid_k6 add");
deb(f, t, c, ty, id);
ole();
}
g[f].emplace_back(f, t, c, ty, eid++);
}
int getid(int h, int w) {
if (!ins(h, w, H, W))return -1;
return W * h + w;
}
P get2(int id) { return mp(id / W, id % W); }
P operator()(int id) { return get2(id); }
int operator()(int h, int w) { return getid(h, w); }
digrid_k6(int H, int W) : H(H), W(W), digraph<T>(H * W) {
rep(h, H) {
rep(w, W) {
int f = getid(h, w);
if (w + 1 < W) add(f, getid(h, w + 1));
if (h + 1 < H)add(f, getid(h + 1, w));
}
}
}
digrid_k6(vector<vector<char>> ba, char wall = '#') : H(sz(ba)), W(sz(ba[0])), digraph<T>(sz(ba) * sz(ba[0])) {
rep(h, H) {
rep(w, W) {
if (ba[h][w] == wall)con;
int f = getid(h, w);
if (w + 1 < W && ba[h][w + 1] != wall) { add(f, getid(h, w + 1)); }
if (h + 1 < H && ba[h + 1][w] != wall) { add(f, getid(h + 1, w)); }
}
}
}
void add(int fh, int fw, int th, int tw) { add(getid(fh, fw), getid(th, tw)); }
void set_edges() { rep(i, n)fora(e, g[i])edges.push_back(e); }
};
template<class T> bool nibu(const graph<T> &g) {
int size = 0;
rep(i, g.n)size += sz(g.g[i]);
if (size == 0)return true;
unionfind uf(g.n * 2);
rep(i, g.n)fora(e, g.g[i])uf.unite(e.f, e.t + g.n), uf.unite(e.f + g.n, e.t);
rep(i, g.n)if (uf.same(i, i + g.n))return 0;
return 1;
}
//二部グラフを色分けした際の頂点数を返す
template<class T> vp nibug(graph<T> &g) {
vp cg;
if (!nibu(g)) {
debugline("nibu");
ole();
}
int n = g.size();
vb was(n);
queue<P> q;
rep(i, n) {
if (was[i])continue;
q.push(mp(i, 1));
was[i] = 1;
int red = 0;
int coun = 0;
while (q.size()) {
int now = q.front().fi;
int col = q.front().se;
red += col;
coun++;
q.pop();
forg(gi, g[now]) {
if (was[t])continue;
q.push(mp(t, col ^ 1));
was[t] = 1;
}
}
cg.push_back(mp(red, coun - red));
}
return cg;
}
template<class T> ostream &operator<<(ostream &os, digraph<T> &g) {
os << endl << g.n << " " << sz(g.edges) << endl;
fore(gi, g.edges) { os << f << " " << t << " " << c << endl; }
return os;
}
template<class T> ostream &operator<<(ostream &os, undigraph<T> &g) {
os << endl << g.n << " " << sz(g.edges) << endl;
fore(gi, g.edges) { if (f < t)os << f << " " << t << " " << c << endl; }
return os;
}
//閉路がなければtrue
bool topo(vi &res, digraph<int> &g) {
int n = g.g.size();
vi nyu(n);
rep(i, n)for (auto &&e :g[i])nyu[e.t]++;
queue<int> st;
rep(i, n)if (nyu[i] == 0)st.push(i);
while (st.size()) {
int v = st.front();
st.pop();
res.push_back(v);
fora(e, g[v]) if (--nyu[e.t] == 0)st.push(e.t);
}
return res.size() == n;
}
//辞書順最小トポロジカルソート
bool topos(vi &res, digraph<int> &g) {
int n = g.g.size();
vi nyu(n);
rep(i, n)for (auto &&e :g[i])nyu[e.t]++; /*小さい順*/ priority_queue<int, vector<int>, greater<int> > q;
rep(i, n)if (nyu[i] == 0)q.push(i);
while (q.size()) {
int i = q.top();
q.pop();
res.push_back(i);
fora(e, g[i])if (--nyu[e.t] == 0)q.push(e.t);
}
return res.size() == n;
}
//閉路がある時linfを返す
template<class T> int longest_path(digraph<T> &g) {
vi top;
if (!topo(top, g)) { return linf; }
int n = sz(top);
vi dp(n, 0);
for (auto &&i : top) { forg(gi, g[i]) { chma(dp[t], dp[i] + 1); }}
return max(dp);
}
template<class T> vi longest_path_v(digraph<T> &g) {
vi top;
if (!topo(top, g)) { return vi(); }
int n = sz(top);
vi dp(n, 0);
vi pre(n, -1);
for (auto &&i : top) { forg(gi, g[i]) { if (chma(dp[t], dp[i] + 1)) { pre[t] = i; }}}
int s = std::max_element(dp.begin(), dp.end()) - dp.begin();
vi path;
while (s != -1) {
path.push_back(s);
s = pre[s];
}
std::reverse(path.begin(), path.end());
return path;
}
//連結グラフが与えられる 閉路があるか
template<class T> bool close(undigraph<T> &g) {
int n = 0;
int e = 0;
rep(i, g.n) {
if (sz(g[i]))n++;
forg(gi, g[i]) { e++; }
}
return (e >> 1) >= n;
}
template<class T> bool close(undigraph<T> &g, int v) {
unionfind uf(g.n);
rep(i, g.n) {
forg(gi, g[i]) {
if (f < t)break;
if (f == t && f == v)return true;
if (uf.same(f, v) && uf.same(t, v))return true;
uf.unite(f, t);
}
}
return false;
}
template<class T> bool close(digraph<T> &g) {
vi res;
return topo(res, g);
}
template<class T> vi indegree(graph<T> &g) {
vi ret(g.size());
rep(i, g.size()) { forg(gi, g[i]) { ret[t]++; }}
return ret;
}
template<class T> vi outdegree(graph<T> &g) {
vi ret(g.size());
rep(i, g.size()) { ret[i] = g[i].size(); }
return ret;
}
template<class T> digraph<T> rev(digraph<T> &g) {
digraph<T> r(g.n);
rep(i, g.n) { forg(gi, g[i]) { r.add(t, f, c); }}
return r;
}
//橋を列挙する (取り除くと連結でなくなる辺)
template<class T> vp bridge(graph<T> &G) {
static bool was;
vp brid;
vi articulation;
vi ord(G.n), low(G.n);
vb vis(G.n);
function<void(int, int, int)> dfs = [&](int v, int p, int k) {
vis[v] = true;
ord[v] = k++;
low[v] = ord[v];
bool isArticulation = false;
int ct = 0;
for (int i = 0; i < G[v].size(); i++) {
if (!vis[G[v][i].t]) {
ct++;
dfs(G[v][i].t, v, k);
low[v] = min(low[v], low[G[v][i].t]);
if (~p && ord[v] <= low[G[v][i].t]) isArticulation = true;
if (ord[v] < low[G[v][i].t]) brid.push_back(make_pair(min(v, G[v][i].t), max(v, G[v][i].t)));
}
else if (G[v][i].t != p) { low[v] = min(low[v], ord[G[v][i].t]); }
}
if (p == -1 && ct > 1) isArticulation = true;
if (isArticulation) articulation.push_back(v);
};
int k = 0;
rep(i, G.n) { if (!vis[i]) dfs(i, -1, k); }
sort(brid.begin(), brid.end());
return brid;
}
//間接点を列挙する (取り除くと連結でなくなる点)
template<class T> vi articulation(undigraph<T> &G) {
static bool was;
vp bridge;
vi arti;
vi ord(G.n), low(G.n);
vb vis(G.n);
function<void(int, int, int)> dfs = [&](int v, int p, int k) {
vis[v] = true;
ord[v] = k++;
low[v] = ord[v];
bool isArticulation = false;
int ct = 0;
for (int i = 0; i < G[v].size(); i++) {
if (!vis[G[v][i].t]) {
ct++;
dfs(G[v][i].t, v, k);
low[v] = min(low[v], low[G[v][i].t]);
if (~p && ord[v] <= low[G[v][i].t]) isArticulation = true;
if (ord[v] < low[G[v][i].t]) bridge.push_back(make_pair(min(v, G[v][i].t), max(v, G[v][i].t)));
}
else if (G[v][i].t != p) { low[v] = min(low[v], ord[G[v][i].t]); }
}
if (p == -1 && ct > 1) isArticulation = true;
if (isArticulation) arti.push_back(v);
};
int k = 0;
rep(i, G.n) { if (!vis[i]) dfs(i, -1, k); }
sort(arti.begin(), arti.end());
return arti;
}
#define kansetu articulation
P farthest(undigraph<> &E, int cur, int pre, int d, vi &D) {
D[cur] = d;
P r = {d, cur};
forg(gi, E[cur]) if (t != pre) {
P v = farthest(E, t, cur, d + 1, D);
r = max(r, v);
}
return r;
}
//dagでなければ-1を返す
int diameter(digraph<> &g) {
vi per;
if (!topo(per, g))return -1;
int n = g.n;
vi dp(n, 1);
fora(v, per) { forg(gi, g[v]) { chma(dp[t], dp[f] + 1); }}
return max(dp);
}
vi diameter(undigraph<> &E) { /* diameter,center*/vi D[3];
D[0].resize(E.size());
D[1].resize(E.size());
auto v1 = farthest(E, 0, 0, 0, D[0]);
auto v2 = farthest(E, v1.second, v1.second, 0, D[0]);
farthest(E, v2.second, v2.second, 0, D[1]);
int i;
rep(i, D[0].size()) D[2].push_back(max(D[0][i], D[1][i]));
return D[2];
}
//i d
vp diameter_p(undigraph<> &E) { /* diameter,center*/vector<int> D[3];
D[0].resize(E.size());
D[1].resize(E.size());
auto v1 = farthest(E, 0, 0, 0, D[0]);
auto v2 = farthest(E, v1.second, v1.second, 0, D[0]);
farthest(E, v2.second, v2.second, 0, D[1]);
int i;
vp res(E.size());
rep(i, D[0].size()) { if (D[0][i] > D[1][i])res[i] = mp(D[0][i], v1.second); else res[i] = mp(D[1][i], v2.second); }
return res;
}
/*閉路が1つしかない場合、その閉路に含まれる頂点を1としたvectorを返す*/;
//template<class T> vi get_close1(digraph<T> &g) { int n = g.n; queue<int> q; vi d = outdegree(g); vi res(n, 1); rep(i, n) { if (d[i] == 0) { q += i; res[i] = 0; } } auto rg = rev(g); while (q.size()) { auto now = q.front(); q.pop(); forg(gi, rg[now]) { if (--d[t] == 0) { q += t; res[t] = 0; } } } return res;};
//閉路パスを一つ返す
//vi close_path(digraph<> &g) { int n = g.n; vi state(n); vi path; rep(i, n) if (!state[i]) { if (fix([&](auto dfs, int v) -> bool { if (state[v]) { if (state[v] == 1) { path.erase(path.begin(), find(path.begin(), path.end(), v)); return true; } return false; } path.push_back(v); state[v] = 1; forg(gi, g[v]) { if (dfs(t))return true; } state[v] = -1; path.pop_back(); return false; })(i)) { return path; } } return vi();}
vi close_path_min(digraph<> &g) {
int n = g.n;
vvi(dis, n);
rep(i, n)dis[i] = dijkstra(g, i, linf);
int mind = linf;
int f = 0, t = 0;
rep(i, n) {
rep(j, n) {
if (i == j)continue;
if (chmi(mind, dis[i][j] + dis[j][i])) {
f = i;
t = j;
}
}
}
vi path;
auto add = [&](int f, int t) {
int now = f;
while (now != t) {
rep(i, n) {
if (dis[now][i] == 1 && dis[f][i] + dis[i][t] == dis[f][t]) {
path.push_back(i);
now = i;
break;
}
}
}
};
add(f, t);
add(t, f);
return path;
}
template<class T> int krus(undigraph<T> &g) {
int res = 0;
unionfind uf(g.n);
if (sz(g.edges) == 0)g.set_edges();
int i = 0;
auto E = g.edges;
sort(E);
fora(e, E) { if (uf.unite(e.f, e.t)) { res += e.c; }}
return res;
}
//idは 00 11 22のようにedgesに持たれている
template<class T> vi krus_id(undigraph<T> &g) {
unionfind uf(g.n);
if (sz(g.edges) == 0)g.set_edges();
int i = 0;
auto E = g.edges;
sort(E);
vi res;
fora(e, E) { if (uf.unite(e.f, e.t)) { res.push_back(e.id); }}
return res;
}
template<class T> vector<edge<T>> krus_ed(undigraph<T> &g) {
unionfind uf(g.n);
if (sz(g.edges) == 0)g.set_edges();
int i = 0;
auto E = g.edges;
sort(E);
vector<edge<T>> res;
fora(e, E) { if (uf.unite(e.f, e.t)) { res.push_back(e); }}
return res;
}
template<class T> tree<T> krus_tr(undigraph<T> &g) {
tree<T> res(g.n);
unionfind uf(g.n);
if (sz(g.edges) == 0)g.set_edges();
int i = 0;
auto E = g.edges;
sort(E);
fora(e, E) { if (uf.unite(e.f, e.t)) { res.add(e.f, e.t); }}
return res;
}
template<class T> vector<vector<edge<T>>> type_list(digraph<T> &g) {
vector<vector<edge<T>>> res;
rep(i, g.n) { forg2(gi, g[i]) { res[ty].push_back(g[i][gi]); }}
return res;
}
template<class T> vector<vector<edge<T>>> type_list(undigraph<T> &g, int types = -1) {
int tn = types;
if (types == -1)tn = g.n;
rep(i, g.n) { forg2(gi, g[i]) { chma(tn, ty); }}
vector<vector<edge<T>>> res(tn + 1);
vi was(g.n);
rep(i, g.n) {
forg2(gi, g[i]) {
if (f < t)res[ty].push_back(g[i][gi]);
else if (f == t && !was[f]) {
res[ty].push_back(g[i][gi]);
was[f] = 1;
}
}
}
return res;
}
/*頂点数がkの木を一つ返す サイズが0の木が帰ったら終了*/
//短い版
tree<> g(2 * k5);
signed main() {
cin >> N;
g.ingc(N, N - 1, 0);
din(Q);
rep(i, Q) {
//距離が浅くなる2点
vi p;
na(p, 3);
sort(p);
int res = linf;
do {
int lca = g.lca(p[0], p[1]);
int d1 = g.dis(p[0], p[1]);
int d2 = g.dis(p[2], lca);
chmi(res, d1 + d2);
} while (next_permutation(all(p)));
cout << res << endl;
}
return 0;
}