結果
| 問題 | No.2 素因数ゲーム |
| ユーザー |
 バイト
|
| 提出日時 | 2020-01-09 13:29:45 |
| 言語 | C++14 (gcc 13.2.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 8 ms / 5,000 ms |
| コード長 | 46,515 bytes |
| コンパイル時間 | 2,914 ms |
| コンパイル使用メモリ | 215,204 KB |
| 実行使用メモリ | 7,720 KB |
| 最終ジャッジ日時 | 2023-08-15 01:15:49 |
| 合計ジャッジ時間 | 4,557 ms |
|
ジャッジサーバーID （参考情報） |
judge14 / judge13 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | AC | 7 ms
6,324 KB |
| testcase_01 | AC | 7 ms
7,136 KB |
| testcase_02 | AC | 7 ms
7,368 KB |
| testcase_03 | AC | 7 ms
6,468 KB |
| testcase_04 | AC | 7 ms
7,448 KB |
| testcase_05 | AC | 7 ms
6,284 KB |
| testcase_06 | AC | 7 ms
6,404 KB |
| testcase_07 | AC | 6 ms
6,556 KB |
| testcase_08 | AC | 7 ms
7,236 KB |
| testcase_09 | AC | 7 ms
6,320 KB |
| testcase_10 | AC | 7 ms
7,040 KB |
| testcase_11 | AC | 7 ms
6,468 KB |
| testcase_12 | AC | 7 ms
6,316 KB |
| testcase_13 | AC | 7 ms
6,200 KB |
| testcase_14 | AC | 7 ms
7,720 KB |
| testcase_15 | AC | 7 ms
6,564 KB |
| testcase_16 | AC | 7 ms
6,256 KB |
| testcase_17 | AC | 7 ms
6,524 KB |
| testcase_18 | AC | 8 ms
6,468 KB |
| testcase_19 | AC | 7 ms
6,296 KB |
| testcase_20 | AC | 7 ms
7,196 KB |
| testcase_21 | AC | 7 ms
6,408 KB |
| testcase_22 | AC | 7 ms
6,408 KB |
| testcase_23 | AC | 8 ms
6,508 KB |
| testcase_24 | AC | 6 ms
7,196 KB |
| testcase_25 | AC | 7 ms
6,568 KB |
| testcase_26 | AC | 7 ms
6,468 KB |
| testcase_27 | AC | 7 ms
6,296 KB |
| testcase_28 | AC | 7 ms
6,320 KB |
| testcase_29 | AC | 7 ms
6,384 KB |
| testcase_30 | AC | 8 ms
6,468 KB |
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 pow powl
#define ull unsigned long long
using dou = double;
using itn = int;
using str = string;
using bo= bool;
#define au auto
using P = pair<ll, ll>;
#define fi first
#define se second
#define vec vector
#define beg begin
#define rbeg rbegin
#define con continue
#define bre break
#define brk break
#define is ==
//マクロ省略系 コンテナ
//マクロ省略系 コンテナ
using vi = vector<ll>;
using vb = vector<bool>;
using vs = vector<string>;
using vd = vector<double>;
using vc = vector<char>;
using vp = vector<P>;
using vt = vector<T>;
#define vec vector
#define o_vvt(o1, o2, o3, o4, name, ...) name
#define vvt0(t) vec<vec<t>>
#define vvt1(t, a) vec<vec<t>>a
#define vvt2(t, a, b) vec<vec<t>>a(b)
#define vvt3(t, a, b, c) vec<vec<t>> a(b,vec<t>(c))
#define vvt4(t, a, b, c, d) vec<vec<t>> a(b,vec<t>(c,d))
#define vvi(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(ll,__VA_ARGS__)
#define vvb(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(bool,__VA_ARGS__)
#define vvs(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(string,__VA_ARGS__)
#define vvd(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(double,__VA_ARGS__)
#define vvc(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(char,__VA_ARGS__)
#define vvp(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(P,__VA_ARGS__)
#define vvt(...) o_vvt(__VA_ARGS__,vvt4,vvt3,vvt2 ,vvt1,vvt0)(T,__VA_ARGS__)
template<typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template<typename T, typename... Ts> auto make_v(size_t a, Ts... ts) { return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...)); }
#define vni(name, ...) auto name = make_v<ll>(__VA_ARGS__)
#define vnb(name, ...) auto name = make_v<bool>(__VA_ARGS__)
#define vns(name, ...) auto name = make_v<string>(__VA_ARGS__)
#define vnd(name, ...) auto name = make_v<double>(__VA_ARGS__)
#define vnc(name, ...) auto name = make_v<char>(__VA_ARGS__)
#define vnp(name, ...) auto name = make_v<P>(__VA_ARGS__)
#define v3i(a, b, c, d) vector<vector<vi>> a(b, vector<vi>(c, vi(d)))
#define v3d(a, b, c, d) vector<vector<vd>> a(b, vector<vd>(c, vd(d)))
#define v3m(a, b, c, d) vector<vector<vm>> a(b, vector<vm>(c, vm(d)))
#define _vvi vector<vi>
#define _vvl vector<vl>
#define _vvb vector<vb>
#define _vvs vector<vs>
#define _vvd vector<vd>
#define _vvc vector<vc>
#define _vvp vector<vp>
#define PQ priority_queue<ll, vector<ll>, greater<ll> >
#define tos to_string
using mapi = map<int, int>;
using mapd = map<dou, int>;
using mapc = map<char, int>;
using maps = map<str, int>;
using seti = set<int>;
using setd = set<dou>;
using setc = set<char>;
using sets = set<str>;
using qui = queue<int>;
#define bset bitset
#define uset unordered_set
#define mset multiset
//#define umap unordered_map
//#define umapi unordered_map<int,int>
//#define umapp unordered_map<P,int>
#define mmap multimap
//マクロ 繰り返し
#define _overloadrep(_1, _2, _3, _4, name, ...) name
# define _rep(i, n) for(int i = 0,_lim=n; i < _lim ; i++)
#define repi(i, m, n) for(int i = m,_lim=n; i < _lim ; i++)
#define repadd(i, m, n, ad) for(int i = m,_lim=n; i < _lim ; i+= ad)
#define rep(...) _overloadrep(__VA_ARGS__,repadd,repi,_rep,)(__VA_ARGS__)
#define _rer(i, n) for(int i = n; i >= 0 ; i--)
#define reri(i, m, n) for(int i = m,_lim=n; i >= _lim ; i--)
#define rerdec(i, m, n, dec) for(int i = m,_lim=n; i >= _lim ; i-=dec)
#define rer(...) _overloadrep(__VA_ARGS__,rerdec,reri,_rer,)(__VA_ARGS__)
#define fora(a, b) for(auto&& a : b)
//マクロ 定数
#define k3 1010
#define k4 10101
#define k5 101010
#define k6 1010101
#define k7 10101010
const int inf = (int) 1e9 + 100;
const ll linf = (ll) 1e18 + 100;
const double eps = 1e-9;
const double PI = 3.1415926535897932384626433832795029L;
ll ma = numeric_limits<ll>::min();
ll mi = numeric_limits<ll>::max();
const int y4[] = {-1, 1, 0, 0};
const int x4[] = {0, 0, -1, 1};
const int y8[] = {0, 1, 0, -1, -1, 1, 1, -1};
const int x8[] = {1, 0, -1, 0, 1, -1, 1, -1};
//マクロ省略形 関数等
#define arsz(a) (sizeof(a)/sizeof(a[0]))
#define sz(a) ((int)(a).size())
#define rs resize
#define mp make_pair
#define pb push_back
#define pf push_front
#define eb emplace_back
#define all(a) (a).begin(),(a).end()
#define rall(a) (a).rbegin(),(a).rend()
inline void sort(string &a) { sort(a.begin(), a.end()); }
template<class T> inline void sort(vector<T> &a) { sort(a.begin(), a.end()); };
template<class T> inline void sort(vector<T> &a, int len) { sort(a.begin(), a.begin() + len); };
template<class T, class F> inline void sort(vector<T> &a, F f) { sort(a.begin(), a.end(), [&](T l, T r) { return f(l) < f(r); }); };
enum ___pcomparator {
fisi, fisd, fdsi, fdsd, sifi, sifd, sdfi, sdfd
};
inline void sort(vector<P> &a, ___pcomparator type) {
switch (type) {
case fisi:
sort(all(a), [&](P l, P r) { return l.fi != r.fi ? l.fi < r.fi : l.se < r.se; });
break;
case fisd:
sort(all(a), [&](P l, P r) { return l.fi != r.fi ? l.fi < r.fi : l.se > r.se; });
break;
case fdsi:
sort(all(a), [&](P l, P r) { return l.fi != r.fi ? l.fi > r.fi : l.se < r.se; });
break;
case fdsd:
sort(all(a), [&](P l, P r) { return l.fi != r.fi ? l.fi > r.fi : l.se > r.se; });
break;
case sifi:
sort(all(a), [&](P l, P r) { return l.se != r.se ? l.se < r.se : l.fi < r.fi; });
break;
case sifd:
sort(all(a), [&](P l, P r) { return l.se != r.se ? l.se < r.se : l.fi > r.fi; });
break;
case sdfi:
sort(all(a), [&](P l, P r) { return l.se != r.se ? l.se > r.se : l.fi < r.fi; });
break;
case sdfd:
sort(all(a), [&](P l, P r) { return l.se != r.se ? l.se > r.se : l.fi > r.fi; });
break;
}
};
inline void sort(vector<T> &a, ___pcomparator type) {
switch (type) {
case fisi:
sort(all(a), [&](T l, T r) { return l.f != r.f ? l.f < r.f : l.s < r.s; });
break;
case
fisd:
sort(all(a), [&](T l, T r) { return l.f != r.f ? l.f < r.f : l.s > r.s; });
break;
case
fdsi:
sort(all(a), [&](T l, T r) { return l.f != r.f ? l.f > r.f : l.s < r.s; });
break;
case
fdsd:
sort(all(a), [&](T l, T r) { return l.f != r.f ? l.f > r.f : l.s > r.s; });
break;
case
sifi:
sort(all(a), [&](T l, T r) { return l.s != r.s ? l.s < r.s : l.f < r.f; });
break;
case
sifd:
sort(all(a), [&](T l, T r) { return l.s != r.s ? l.s < r.s : l.f > r.f; });
break;
case
sdfi:
sort(all(a), [&](T l, T r) { return l.s != r.s ? l.s > r.s : l.f < r.f; });
break;
case
sdfd:
sort(all(a), [&](T l, T r) { return l.s != r.s ? l.s > r.s : l.f > r.f; });
break;
}
};
template<class T> inline void rsort(vector<T> &a) { sort(a.begin(), a.end(), greater<T>()); };
template<class T> inline void rsort(vector<T> &a, int len) { sort(a.begin(), a.begin() + len, greater<T>()); };
template<class U, class F> inline void rsort(vector<U> &a, F f) { sort(a.begin(), a.end(), [&](U l, U r) { return f(l) > f(r); }); };
template<class U> inline void sortp(vector<U> &a, vector<U> &b) {
vp c;
int n = sz(a);
assert(n == sz(b));
rep(i, n)c.eb(a[i], b[i]);
sort(c);
rep(i, n) {
a[i] = c[i].first;
b[i] = c[i].second;;
}
};
//F = T<T>
//例えばreturn p.fi + p.se;
template<class U, class F> inline void sortp(vector<U> &a, vector<U> &b, F f) {
vp c;
int n = sz(a);
assert(n == sz(b));
rep(i, n)c.eb(a[i], b[i]);
sort(c, f);
rep(i, n) {
a[i] = c[i].first;
b[i] = c[i].second;
}
};
template<class U, class F> inline void sortp(vector<U> &a, vector<U> &b, char type) {
vp c;
int n = sz(a);
assert(n == sz(b));
rep(i, n)c.eb(a[i], b[i]);
sort(c, type);
rep(i, n) {
a[i] = c[i].first;
b[i] = c[i].second;
}
};
template<class U> inline void rsortp(vector<U> &a, vector<U> &b) {
vp c;
int n = sz(a);
assert(n == sz(b));
rep(i, n)c.eb(a[i], b[i]);
rsort(c);
rep(i, n) {
a[i] = c[i].first;
b[i] = c[i].second;
}
};
template<class U, class F> inline void rsortp(vector<U> &a, vector<U> &b, F f) {
vp c;
int n = sz(a);
assert(n == sz(b));
rep(i, n)c.eb(a[i], b[i]);
rsort(c, f);
rep(i, n) {
a[i] = c[i].first;
b[i] = c[i].second;
}
};
template<class U> inline void sortt(vector<U> &a, vector<U> &b, vector<U> &c) {
vt r;
int n = sz(a);
assert(n == sz(b));
assert(n == sz(c));
rep(i, n)r.eb(a[i], b[i], c[i]);
sort(r);
rep(i, n) {
a[i] = r[i].f;
b[i] = r[i].s;
c[i] = r[i].t;
}
};
template<class U, class F> inline void sortt(vector<U> &a, vector<U> &b, vector<U> &c, F f) {
vt r;
int n = sz(a);
assert(n == sz(b));
assert(n == sz(c));
rep(i, n)r.eb(a[i], b[i], c[i]);
sort(r, f);
rep(i, n) {
a[i] = r[i].f;
b[i] = r[i].s;
c[i] = r[i].t;
}
};
template<class U, class F> inline void rsortt(vector<U> &a, vector<U> &b, vector<U> &c, F f) {
vt r;
int n = sz(a);
assert(n == sz(b));
assert(n == sz(c));
rep(i, n)r.eb(a[i], b[i], c[i]);
rsort(r, f);
rep(i, n) {
a[i] = r[i].f;
b[i] = r[i].s;
c[i] = r[i].t;
}
};
template<class T> inline void sort2(vector<vector<T>> &a) { for (int i = 0, n = a.size(); i < n; i++)sort(a[i]); }
template<class T> inline void rsort2(vector<vector<T>> &a) { for (int i = 0, n = a.size(); i < n; i++)rsort(a[i]); }
template<typename A, size_t N, typename T> void fill(A (&a)[N], const T &v) { rep(i, N)a[i] = v; }
template<typename A, size_t N, size_t O, typename T> void fill(A (&a)[N][O], const T &v) { rep(i, N)rep(j, O)a[i][j] = v; }
template<typename A, size_t N, size_t O, size_t P, typename T> void fill(A (&a)[N][O][P], const T &v) { rep(i, N)rep(j, O)rep(k, P)a[i][j][k] = v; }
template<typename A, size_t N, size_t O, size_t P, size_t Q, typename T> void fill(A (&a)[N][O][P][Q], const T &v) { rep(i, N)rep(j, O)rep(k, P)rep(l, Q)a[i][j][k][l] = v; }
template<typename A, size_t N, size_t O, size_t P, size_t Q, size_t R, typename T> void fill(A (&a)[N][O][P][Q][R], const T &v) { rep(i, N)rep(j, O)rep(k, P)rep(l, Q)rep(m, R)a[i][j][k][l][m] = v; }
template<typename A, size_t N, size_t O, size_t P, size_t Q, size_t R, size_t S, typename T> void fill(A (&a)[N][O][P][Q][R][S], const T &v) { rep(i, N)rep(j, O)rep(k, P)rep(l, Q)rep(m, R)rep(n, S)a[i][j][k][l][m][n] = v; }
template<typename V, typename T>
void fill(V &xx, const T vall) {
xx = vall;
}
template<typename V, typename T>
void fill(vector<V> &vecc, const T vall) {
for (auto &&vx: vecc) fill(vx, vall);
}
//@汎用便利関数 入力
template<typename T = int> T _in() {
T x;
cin >> x;
return (x);
}
#define _overloadin(_1, _2, _3, _4, name, ...) name
#define in0() _in()
#define in1(a) cin>>a
#define in2(a, b) cin>>a>>b
#define in3(a, b, c) cin>>a>>b>>c
#define in4(a, b, c, d) cin>>a>>b>>c>>d
#define in(...) _overloadin(__VA_ARGS__,in4,in3,in2 ,in1,in0)(__VA_ARGS__)
#define _overloaddin(_1, _2, _3, _4, name, ...) name
#define din1(a) int a;cin>>a
#define din2(a, b) int a,b;cin>>a>>b
#define din3(a, b, c) int a,b,c;cin>>a>>b>>c
#define din4(a, b, c, d) int a,b,c,d;cin>>a>>b>>c>>d
#define din(...) _overloadin(__VA_ARGS__,din4,din3,din2 ,din1)(__VA_ARGS__)
#define _overloaddind(_1, _2, _3, _4, name, ...) name
#define din1d(a) int a;cin>>a;a--
#define din2d(a, b) int a,b;cin>>a>>b;a--,b--
#define din3d(a, b, c) int a,b,c;cin>>a>>b>>c;a--,b--,c--
#define din4d(a, b, c, d) int a,b,c,d;cin>>a>>b>>c>>d;;a--,b--,c--,d--
#define dind(...) _overloaddind(__VA_ARGS__,din4d,din3d,din2d ,din1d)(__VA_ARGS__)
string sin() { return _in<string>(); }
ll lin() { return _in<ll>(); }
#define na(a, n) a.resize(n); rep(nai,n) cin >> a[nai];
#define nao(a, n) a.resize(n+1); rep(i,n) cin >> a[i+1];
#define nad(a, n)a.resize(n); rep(nadi,n){ cin >> a[nadi]; a[nadi]--;}
#define na2(a, b, n) a.resize(n),b.resize(n);rep(i, n)cin >> a[i] >> b[i];
#define na2d(a, b, n) a.resize(n),b.resize(n);rep(i, n){cin >> a[i] >> b[i];a[i]--,b[i]--;}
#define na3(a, b, c, n) a.resize(n),b.resize(n),c.resize(n); rep(i, n)cin >> a[i] >> b[i] >> c[i];
#define na3d(a, b, c, n) a.resize(n),b.resize(n),c.resize(n); rep(i, n){cin >> a[i] >> b[i] >> c[i];a[i]--,b[i]--,c[i]--;}
#define nt(a, h, w) a.resize(h);rep(i,h)a[i].resize(w); rep(hi,h)rep(wi,w) cin >> a[hi][wi];
#define ntd(a, h, w) rs(a,h,w);rep(hi,h)rep(wi,w) cin >> a[hi][wi], a[hi][wi]--;
#define ntp(a, h, w) fill(a,'#');rep(hi,1,h+1)rep(wi,1,w+1) cin >> a[hi][wi];
#ifdef _DEBUG
template<class T> void err2(T &&head) { cerr << head; }
template<class T, class... U> void err2(T &&head, U &&... tail) {
cerr << head << " ";
err2(tail...);
}
template<class T, class... U> void err(T &&head, U &&... tail) {
cerr << head << " ";
err2(tail...);
cerr << "" << endl;
}
template<class T> void err(T &&head) { cerr << head << endl; }
void err() { cerr << "" << endl; }
template<class T> string out_m2(vector<T> &a, ll W = inf) {
stringstream ss;
if (W == inf)W = min(sz(a), 12ll);
if (sz(a) == 0)return ss.str();
rep(i, W) { ss << a[i] << " "; }
return ss.str();
}
template<class T> string out_m2(vector<vector<T> > &a, ll H = inf, ll W = inf, int key = -1) {
H = min({H, sz(a), 12ll});
W = min({W, sz(a[0]), 12ll});
stringstream ss;
ss << endl;
if (key == -1)ss << " *|"; else ss << " " << key << "|";
rep(w, W)ss << std::right << std::setw(4) << w;
ss << "" << endl;
rep(w, W * 4 + 3)ss << "_";
ss << "" << endl;
rep(h, H) {
ss << std::right << std::setw(2) << h << "|";
rep(w, min(sz(a[h]), 12ll)) { if (abs(a[h][w]) == linf) ss << " e" << ""; else ss << std::right << std::setw(4) << a[h][w]; }
ss << "" << endl;
}
return ss.str();
}
/*@formatter:off*/
template<class T> string out_m2(vector<vector<vector<T> > > &a, ll H = inf, ll W = inf, ll U = inf) {stringstream ss; if (H == inf)H = 5; H = min(H, sz(a)); rep(i, H) { ss << endl; ss << out_m2(a[i], W, U, i); } return ss.str();}
string out_m2(int a) {stringstream ss;ss << a;return ss.str();}
template<class T> string out_m2(T &a) {stringstream ss;ss << a;return ss.str();}
template<class T> string out_m(vector<T> &a, ll W = inf) {stringstream ss; if (W == inf)W = min(sz(a), 12ll); if(sz(a)==0)return ss.str(); rep(i, W) { ss << a[i] << " "; } ss << "" << endl; return ss.str();}
template<class T> string out_m(vector<vector<T> > &a, ll H = inf, ll W = inf, int key = -1) {
H = min({H, sz(a), 12ll});
W = min({W, sz(a[0]), 12ll});
stringstream ss;
ss << endl;
if (key == -1)ss << " *|"; else ss << " " << key << "|";
rep(w, W)ss << std::right << std::setw(4) << w;
ss << "" << endl;
rep(w, W * 4 + 3)ss << "_";
ss << "" << endl;
rep(h, H) {
ss << std::right << std::setw(2) << h << "|";
rep(w, min(sz(a[h]),12ll)) { if (abs(a[h][w]) == linf) ss << " e" << ""; else ss << std::right << std::setw(4) << a[h][w]; }
ss << "" << endl;
}
ss << endl;
return ss.str();
}
/*@formatter:off*/
template<class T> string out_m(vector<vector<vector<T> > > &a, ll H = inf, ll W = inf, ll U = inf) {stringstream ss; if (H == inf)H = 5; H = min(H, sz(a)); rep(i, H) { ss << endl; ss << out_m(a[i], W, U, i); } ss << endl; return ss.str();}
string out_m(int a) {stringstream ss;ss << a << endl;return ss.str();}
template<class T> string out_m(T &a) {stringstream ss;ss << a << endl;return ss.str();}
template<class T> void outv(vector<T> &a, ll W=inf) {cout << out_m(a,W) << endl;}
template<class T> void outv(vector<vector<T> > &a, ll H = linf, ll W = linf,int key=-1) { cout << out_m(a,H,W,key) << endl;}
template<class T> void outv(vector<vector<vector<T> > > &a, ll H = linf, ll W = linf,ll U = linf) {cout << out_m(a,H,W,U)<< endl;}
#else
template<class T> void outv(vector<T> &a, ll W = inf) {
rep(i, min(W, sz(a))) { cout << a[i] << " "; }
cout << "" << endl;
}
template<class T> void outv(vector<vector<T> > &a, ll H = linf, ll W = linf, int key = -1) { rep(i, min(H, sz(a))) { outv(a[i], W); }}
template<class T> void outv(vector<vector<vector<T> > > &a, ll H = linf, ll W = linf, ll U = linf) { ; }
#define err(...);
#endif
#define debugName(VariableName) # VariableName
#define deb1(x) debugName(x)<<" = "<<out_m2(x)
#define deb2(x, ...) deb1(x) <<", "<< deb1(__VA_ARGS__)
#define deb3(x, ...) deb1(x) <<", "<< deb2(__VA_ARGS__)
#define deb4(x, ...) deb1(x) <<", "<< deb3(__VA_ARGS__)
#define deb5(x, ...) deb1(x) <<", "<< deb4(__VA_ARGS__)
#define deb6(x, ...) deb1(x) <<", "<< deb5(__VA_ARGS__)
#define deb7(x, ...) deb1(x) <<", "<< deb6(__VA_ARGS__)
#define deb8(x, ...) deb1(x) <<", "<< deb7(__VA_ARGS__)
#define deb9(x, ...) deb1(x) <<", "<< deb8(__VA_ARGS__)
#define deb10(x, ...) deb1(x) <<", "<< deb9(__VA_ARGS__)
#define o_ebug(o1, o2, o3, o4, o5, o6, o7, o8, o9, o10, name, ...) name
#ifdef _DEBUG
#define deb(...) cerr<< o_ebug(__VA_ARGS__,deb10,deb9,deb8,deb7,deb6,deb5,deb4,deb3,deb2,deb1)(__VA_ARGS__) <<endl
#else
#define deb(...) ;
#endif
#define debugline(x) cerr << x << " " << "(L:" << __LINE__ << ")" << '\n'
void ole() {
#ifdef _DEBUG
debugline("ole");
exit(0);
#endif
string a = "a";
rep(i, 30)a += a;
rep(i, 1 << 17)cout << a << endl;
cout << "OLE 出力長制限超過" << endl;
exit(0);
}
void tle() { while (inf)cout << inf << endl; }
ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
ll gcd(vi b) {
ll res = b[0];
for (auto &&v :b)res = gcd(v, res);
return res;
}
ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
ll rev(ll a) {
ll res = 0;
while (a) {
res *= 10;
res += a % 10;
a /= 10;
}
return res;
}
template<class T> void rev(vector<T> &a) {
reverse(all(a));
}
void rev(string &a) {
reverse(all(a));
}
ll ceil(ll a, ll b) {
if (b == 0) {
debugline("ceil");
deb(a, b);
ole();
return -1;
} else return (a + b - 1) / b;
}
ll sqrt(ll a) {
if (a < 0) {
debugline("sqrt");
deb(a);
ole();
}
ll res = (ll) std::sqrt(a);
while (res * res < a)res++;
return res;
}
double log(double e, double x) { return log(x) / log(e); }
ll sig(ll t) { return (1 + t) * t / 2; }
ll sig(ll s, ll t) { return (s + t) * (t - s + 1) / 2; }
/*@formatter:off*/
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;
}
vp run_length(vi &a) { vp ret; ret.eb(a[0], 1); rep(i, 1, sz(a)) { if (ret.back().fi == a[i]) { ret.back().se++; } else { ret.eb(a[i], 1); }} return ret;}
vector<pair<char, ll>> run_length(string &a) { vector<pair<char, ll>> ret; ret.eb(a[0], 1); rep(i, 1, sz(a)) { if (ret.back().fi == a[i]) { ret.back().se++; } else { ret.eb(a[i], 1); }} return ret;}
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;
}
bool subset(int sub, int top) {return (sub & top) == sub;}
ll bit(int n) { return (1LL << (n)); }
ll bit(int n, int sinsuu) { return (ll) pow(sinsuu, n); }
//aをbitに置きなおす
//{0, 2} -> 101
ll biti(vi&a){ int m=0; for(auto&& v:a) m|=bit(v); return m;}
//{1, 1, 0} -> 011
ll bitb(vi&a){ int m=0; rep(i,sz(a)) if(a[i])m|=bit(i); return m;}
int mask(int n) { return (1ll << n) - 1; }
#define bcou __builtin_popcountll
//
//imoは0-indexed
//ruiは1-indexed
template<class T> vector<T> imo(vector<T> &v) { vector<T> ret = v; rep(i, sz(ret) - 1)ret[i + 1] += ret[i]; return ret;}
//kと同じものの数
template<class T, class U> vi imo(vector<T> &a, U k) {vector<T> ret = a;rep(i, sz(ret))ret[i] = a[i] == k;rep(i, sz(ret) - 1)ret[i + 1] += ret[i];return ret;}
template<class T> vector<T> imox(vector<T> &v) { vector<T> ret = v; rep(i, sz(ret) - 1)ret[i + 1] ^= ret[i]; return ret;}
//漸化的に最小を持つ
template<class T> vector<T> imi(vector<T> &v) { vector<T> ret = v; rep(i, sz(ret) - 1)chmi(ret[i + 1], ret[i]); return ret;}
template<class T> struct ruiC { const vector<T> rui; ruiC(vector<T> &ru) : rui(ru) {} T operator()(ll l, ll r) { if (l > r) { cerr<<"ruic ";deb(l, r);assert(0); } return rui[r] - rui[l]; } T operator[](ll i) { return rui[i]; } T back() { return rui.back(); } ll size() { return rui.size(); }};
template<class T> struct rruic { const T *rrui; rruic(T *ru) : rrui(ru) {} T operator()(ll l, ll r) { assert(l >= r); return rrui[r] - rrui[l]; } T operator[](ll i) { return rrui[i]; }};
template<class T>ostream &operator<<(ostream &os, ruiC<T> a) {fora(v,a.rui)os<<v<<" ";return os;}
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> ruiC<T> ruic(vector<T> &a) { vector<T> ret = ruiv(a); return ruiC<T>(ret);}
vector<ll> ruiv(string &a) { if (sz(a) == 0)return vi(1); ll dec = ('0' <= a[0] && a[0] <= '9') ? '0' : 0; vector<ll> ret(a.size() + 1); rep(i, a.size())ret[i + 1] = ret[i] + a[i] - dec; return ret;}
ruiC<ll> ruic(string &a) { vector<ll> ret = ruiv(a); return ruiC<ll>(ret);}
//kと同じものの数
template<class T, class U> vi ruiv(T &a, U k) { vi ret(a.size() + 1); rep(i, a.size())ret[i + 1] = ret[i] + (a[i] == k); return ret;}
template<class T, class U> ruiC<ll> ruic(T &a, U k) { vi ret = ruiv(a, k); return ruiC<ll>(ret);}
//xor
template<class T> struct ruixC { const vector<T> rui; ruixC(vector<T> &ru) : rui(ru) {} T operator()(ll l, ll r) { if (l > r) { cerr << "ruiXc "; deb(l, r); assert(0); } return rui[r] ^ rui[l]; } T operator[](ll i) { return rui[i]; } T back() { return rui.back(); } ll size() { return rui.size(); }};
template<class T> vector<T> ruix(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> ruixC<ll> ruixc(vector<T> &a) {vi ret = ruix(a);return ruixC<ll>(ret);}
template<class T> vector<T> ruim(vector<T> &a) { vector<T> res(a.size() + 1, 1); rep(i, a.size())res[i + 1] = res[i] * a[i]; return res;}
//漸化的に最小を1indexで持つ
template<class T> vector<T> ruimi(vector<T> &a) { ll n = sz(a); vector<T> ret(n + 1); rep(i, 1, n) { ret[i] = a[i - 1]; chmi(ret[i + 1], ret[i]); } return ret;}
//template<class T> T *rrui(vector<T> &a) {
//右から左にかけての半開区間 (-1 n-1]
template<class T> rruic<T> rrui(vector<T> &a) { ll len = a.size(); T *body = (T *) malloc((len + 1) * sizeof(T)); T *res = body + 1; rer(i, len - 1)res[i - 1] = res[i] + a[i]; return rruic<T>(res);}
//掛け算
template<class T> T *rruim(vector<T> &a) { ll len = a.size(); T *body = (T *) malloc((len + 1) * sizeof(T)); T *res = body + 1; res[len - 1] = 1; rer(i, len - 1)res[i - 1] = res[i] * a[i]; return res;}
//
template<class T, class U> inline bool chma(T &a, const U &b) {
if (a < b) {
a = b;
return true;
}
return false;
}
template<class U> inline bool chma(const U &b) { return chma(ma, b); }
template<class T, class U> inline bool chmi(T &a, const U &b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template<class U> inline bool chmi(const U &b) { return chmi(mi, b); }
#define unique(v) v.erase( unique(v.begin(), v.end()), v.end() );
int max(vi &a) {
int res = a[0];
fora(v, a) {
res = max(res, v);
}
return res;
}
int min(vi &a) {
int res = a[0];
fora(v, a) {
res = min(res, v);
}
return res;
}
template<typename T> class fixed_point : T {public: explicit constexpr fixed_point(T &&t) noexcept: T(std::forward<T>(t)) {} template<typename... Args> constexpr decltype(auto) operator()(Args &&... args) const { return T::operator()(*this, std::forward<Args>(args)...); }};template<typename T> static inline constexpr decltype(auto) fix(T &&t) noexcept { return fixed_point<T>{std::forward<T>(t)}; }
#define lam(right) [&](auto& p){return p right;}
template<typename W, typename H> void resize(vector<W> &vec, const H head) { vec.resize(head); }template<typename W, typename H, typename ... T> void resize(vector<W> &vec, const H &head, const T ... tail) {vec.resize(head);for (auto &v: vec)resize(v, tail...);}
template<typename T, typename F> bool all_of2(T &v, F f) { return f(v); }
template<typename T, typename F> bool all_of2(vector<T> &v, F f) { rep(i, sz(v)) { if (!all_of2(v[i], f))return false; } return true;}
template<typename T, typename F> bool any_of2(T &v, F f) { return f(v); }
template<typename T, typename F> bool any_of2(vector<T> &v, F f) { rep(i, sz(v)) { if (any_of2(v[i], f))return true; } return false;}
template<typename T, typename F> bool none_of2(T &v, F f) { return f(v); }
template<typename T, typename F> bool none_of2(vector<T> &v, F f) { rep(i, sz(v)) { if (none_of2(v[i], f))return false; } return true;}
template<typename T, typename F> bool find_if2(T &v, F f) { return f(v); }
template<typename T, typename F> ll find_if2(vector<T> &v, F f) { rep(i, sz(v)) { if (find_if2(v[i], f))return i; } return sz(v);}
template<typename T, typename F> bool rfind_if2(T &v, F f) { return f(v); }
template<typename T, typename F> ll rfind_if2(vector<T> &v, F f) { rer(i, sz(v) - 1) { if (rfind_if2(v[i], f))return i; } return -1;}
template<class T> bool contains(string &s, const T &v) { return s.find(v) != string::npos; }
template<typename T> bool contains(vector<T> &v, const T &val) { return std::find(v.begin(), v.end(), val) != v.end(); }
template<typename T, typename F> bool contains_if2(vector<T> &v, F f) { return find_if(v.begin(), v.end(), f) != v.end(); }
template<typename T, typename F> ll count_if2(T &v, F f) { return f(v); }
template<typename T, typename F> ll count_if2(vector<T> &vec, F f) { ll ret = 0; fora(v, vec)ret += count_if2(v, f); return ret;}
template<typename T, typename F> void for_each2(T &v, F f) { f(v); }
template<typename T, typename F> void for_each2(vector<T> &vec, F f) { fora(v, vec)for_each2(v, f); }
template<typename W> ll count_od(vector<W> &a) {return count_if2(a,[](ll v){return v&1 ;});}
template<typename W> ll count_ev(vector<W> &a) {return count_if2(a,[](ll v){return !(v&1) ;});}
//削除された要素の数を返す
template<typename T, typename F> int erase_if2(vector<T> &v, F f) {vector<T> nv;int cou = 0;rep(i, sz(v)) {if (f(v[i])) {cou++;} else {nv.push_back(v[i]);}}v = nv;return cou;}
template<typename T, typename F> int erase_if2(vector<vector<T>> &v, F f) {int cou = 0;rep(i, sz(v)) {cou += erase_if2(v[i], f);}return cou;}
#define all_of(a,right) all_of2(a,lam(right))
#define all_of_f(a,f) all_of2(a,f)
#define any_of(a,right) any_of2(a,lam(right))
#define any_of_f(a,f) any_of2(a,f)
#define none_of(a,right) none_of2(a,lam(right))
#define none_of_f(a,f) none_of2(a,f)
#define find_if(a,right) find_if2(a,lam(right))
#define find_if_f(a,f) find_if2(a,f)
#define rfind_if(a,right) rfind_if2(a,lam(right))
#define rfind_if_f(a,f) rfind_if2(a,f)
#define contains_if(a,right) contains_if2(a,lam(right))
#define contains_if_f(a,f) contains_if2(a,f)
#define count_if(a, right) count_if2(a,lam(right))
#define count_if_f(a, f) count_if2(a,f)
#define for_each(a, right) do{fora(v,a){v right;}}while(0)
#define for_each_f(a, f) do{fora(v,a){f(v);}}while(0)
#define erase_if(a,right) erase_if2(a,lam(right))
#define erase_if_f(a,f) erase_if2(a,f)
#define dna(a, n) vi a(n); rep(dnai,n) cin >> a[dnai];
#define binarySearch(a, v) (binary_search(all(a),v))
#define lowerIndex(a, v) (lower_bound(all(a),v)-a.begin())
#define upperIndex(a, v) (upper_bound(all(a),v)-a.begin())
#define rlowerIndex(a, v) (upper_bound(all(a),v)-a.begin()-1)
#define rupperIndex(a, v) (lower_bound(all(a),v)-a.begin()-1)
template<class T, class U, class W> T lowerBound(vector<T>& a, U v, W banpei){ auto it = lower_bound(a.begin(),a.end(),v); if(it==a.end())return banpei; else return *it;}
template<class T, class U, class W> T upperBound(vector<T>& a, U v, W banpei){ auto it = upper_bound(a.begin(),a.end(),v); if(it==a.end())return banpei; else return *it;}
template<class T, class U, class W> T rlowerBound(vector<T> &a, U v, W banpei) { auto it = upper_bound(a.begin(), a.end(), v); if (it == a.begin())return banpei; else{ return *(--it); }}
template<class T, class U, class W> T rupperBound(vector<T> &a, U v, W banpei) { auto it = lower_bound(a.begin(), a.end(), v); if (it == a.begin())return banpei; else{ return *(--it); }}
/*@formatter:on*/
template<class T> T min(vector<vector<T >> &a) {
T res = MAX(T);
rep(i, a.size())chmi(res, *min_element(all(a[i])));
return res;
}
template<class T> T max(vector<vector<T >> &a) {
T res = MIN(T);
rep(i, a.size())chma(res, *max_element(all(a[i])));
return res;
}
template<class T> T min(vector<vector<vector<T> >> &a) {
T res = MAX(T);
rep(i, a.size())chmi(res, min(a[i]));
return res;
}
template<class T> T max(vector<vector<vector<T> >> &a) {
T res = MIN(T);
rep(i, a.size())chma(res, max(a[i]));
return res;
}
template<class T> void out2(T &&head) { cout << head; }
template<class T, class... U> void out2(T &&head, U &&... tail) {
cout << head << " ";
out2(tail...);
}
template<class T, class... U> void out(T &&head, U &&... tail) {
cout << head << " ";
out2(tail...);
cout << "" << endl;
}
template<class T> void out(T &&head) { cout << head << endl; }
void out() { cout << "" << endl; }
template<class T> void fin(T a) {
out(a);
exit(0);
}
template<typename T, typename U> void insert(vector<T> &v, unsigned ll i, U t) { v.insert(v.begin() + i, t); }
int N, K, H, W;
vi A, B, C;
namespace pnumber_tools {//@formatter:off
class Eratosthenes { public:virtual void initialize() {} virtual void generate(const int64_t x) = 0; virtual void generate(const int64_t from, const int64_t to) = 0; virtual int64_t count() = 0; virtual bool prime(int x) = 0; virtual int32_t version() = 0; inline uint64_t PopCnt(uint64_t); inline int BitToIndex(uint8_t); }; uint64_t Eratosthenes::PopCnt(uint64_t bits) { bits = (bits & 0x5555555555555555ULL) + ((bits >> 1) & 0x5555555555555555ULL); bits = (bits & 0x3333333333333333ULL) + ((bits >> 2) & 0x3333333333333333ULL); bits = (bits & 0x0f0f0f0f0f0f0f0fULL) + ((bits >> 4) & 0x0f0f0f0f0f0f0f0fULL); return (bits * 0x0101010101010101ULL) >> (64 - 8); } int Eratosthenes::BitToIndex(uint8_t b) { switch (b) { case 1 << 0: return 0; case 1 << 1: return 1; case 1 << 2: return 2; case 1 << 3: return 3; case 1 << 4: return 4; case 1 << 5: return 5; case 1 << 6: return 6; case 1 << 7: return 7; } return -1; } namespace { constexpr uint64_t kSegmentSize = 1000000; constexpr int32_t kMod30[] = {1, 7, 11, 13, 17, 19, 23, 29}; constexpr int C1[] = {6, 4, 2, 4, 2, 4, 6, 2}; constexpr int C0[][8] = {{0, 0, 0, 0, 0, 0, 0, 1}, {1, 1, 1, 0, 1, 1, 1, 1}, {2, 2, 0, 2, 0, 2, 2, 1}, {3, 1, 1, 2, 1, 1, 3, 1}, {3, 3, 1, 2, 1, 3, 3, 1}, {4, 2, 2, 2, 2, 2, 4, 1}, {5, 3, 1, 4, 1, 3, 5, 1}, {6, 4, 2, 4, 2, 4, 6, 1},}; constexpr uint8_t kMask[][8] = {{0xfe, 0xfd, 0xfb, 0xf7, 0xef, 0xdf, 0xbf, 0x7f}, {0xfd, 0xdf, 0xef, 0xfe, 0x7f, 0xf7, 0xfb, 0xbf}, {0xfb, 0xef, 0xfe, 0xbf, 0xfd, 0x7f, 0xf7, 0xdf}, {0xf7, 0xfe, 0xbf, 0xdf, 0xfb, 0xfd, 0x7f, 0xef}, {0xef, 0x7f, 0xfd, 0xfb, 0xdf, 0xbf, 0xfe, 0xf7}, {0xdf, 0xf7, 0x7f, 0xfd, 0xbf, 0xfe, 0xef, 0xfb}, {0xbf, 0xfb, 0xf7, 0x7f, 0xfe, 0xef, 0xdf, 0xfd}, {0x7f, 0xbf, 0xdf, 0xef, 0xf7, 0xfb, 0xfd, 0xfe},}; constexpr int64_t kSievedPrimes[] = {2, 3, 5, 7, 11, 13, 17, 19, 23}; constexpr int64_t kInitialSize = 7 * 11 * 13 * 17 * 19 * 23; constexpr int imap[] = {-1, 0, -1, -1, -1, -1, -1, 1, -1, -1, -1, 2, -1, 3, -1, -1, -1, 4, -1, 5, -1, -1, -1, 6, -1, -1, -1, -1, -1, 7}; class Eratosthenes2 final : public Eratosthenes { public: void generate(const int64_t x) override; void generate(const int64_t, const int64_t) override { assert(false); } bool prime(int x) override; int64_t count() override; int32_t version() override { return 2; } vector<uint8_t> flags_; }; void Eratosthenes2::generate(const int64_t x) { flags_.clear(); if (x > 10000000000) return; int64_t size = x / 30 + (x % 30 != 0); flags_.resize(size, 0xff); if (int r = x % 30) { if (r <= 1) flags_[size - 1] = 0x0; else if (r <= 7) flags_[size - 1] = 0x1; else if (r <= 11) flags_[size - 1] = 0x3; else if (r <= 13) flags_[size - 1] = 0x7; else if (r <= 17) flags_[size - 1] = 0xf; else if (r <= 19) flags_[size - 1] = 0x1f; else if (r <= 23) flags_[size - 1] = 0x3f; else if (r <= 29) flags_[size - 1] = 0x7f; } flags_[0] = 0xfe; const uint64_t sqrt_x = std::ceil(std::sqrt(x) + 0.1); const uint64_t sqrt_xi = sqrt_x / 30 + 1; for (uint64_t i = 0; i < sqrt_xi; ++i) { for (uint8_t flags = flags_[i]; flags; flags &= flags - 1) { uint8_t lsb = flags & (-flags); int ibit = BitToIndex(lsb); const int32_t m = kMod30[ibit]; int32_t pm = 30 * i + 2 * m; for (uint64_t j = i * pm + (m * m) / 30, k = ibit; j < flags_.size(); j += i * C1[k] + C0[ibit][k], k = (k + 1) & 7) { flags_[j] &= kMask[ibit][k]; } } } } int64_t Eratosthenes2::count() { if (flags_.empty()) return -1; int64_t ret = 3; for (uint8_t f : flags_) { ret += PopCnt(f); } return ret; } inline bool Eratosthenes2::prime(int x) { if (x == 2 || x == 3 || x == 5)return true; else if (!(x & 1) || x % 3 == 0 || x % 5 == 0)return false; return (flags_[x / 30] >> imap[x % 30]) & 1; } }
Eratosthenes2 era;
int prime_len = 3e6;
vector<int> primes;
void setprime(int size = 3e6) { prime_len = size; era.generate(size); primes = {2, 3, 5}; int nums[129] = {}; nums[1] = 1; nums[2] = 7; nums[4] = 11; nums[8] = 13; nums[16] = 17; nums[32] = 19; nums[64] = 23; nums[128] = 29; /*p = 30i + j*/ int j = 0; int sflim = era.flags_.size(); int i30 = 0; for (int i = 0; i < sflim; i++, i30 += 30) { uint8_t m = era.flags_[i]; while (m) { j = m & -m; primes.push_back(i30 + nums[j]); m ^= j; } } }
using u32 = unsigned int;//longlongになっていると思うが放置していいと思う
using u64 = unsigned long long;
using u128 = __uint128_t;
//O(k log(n)^3)
//32bit -> 270回程度
//64bit -> 1260回程度
//64bit以下で精度100%
template<class BinOp> bool miller_rabin(const uint64_t &n, const uint64_t *witness, BinOp modmul) { if (n == 2) return true; if (n < 2 || n % 2 == 0) return false; const int64_t m = n - 1, d = m / (m & -m); auto modpow = [&](int64_t a, int64_t b) { int64_t res = 1; for (; b; b /= 2) { if (b & 1) res = modmul(res, a); a = modmul(a, a); } return res; }; auto suspect = [&](uint64_t a, uint64_t t) { a = modpow(a, t); while (t != n - 1 && a != 1 && a != n - 1) { a = modmul(a, a); t = modmul(t, 2); } return a == n - 1 || t % 2 == 1; }; for (const uint64_t *w = witness; *w; w++) { if (*w % n != 0 && !suspect(*w, d)) return false; } return true; }
//miller_rabin & エラトステネス
bool prime(const int &n) { assert(n < 9223372036854775808ULL); if (!sz(primes))setprime(); /*エラトステネスの篩 偶数省略ver [i] = i*2+1*/ if (n < prime_len)return era.prime(n); if (n < 4294967296) { rep(i, 30) if (!(n % primes[i]))return false; constexpr uint64_t witness[] = {2, 7, 61, 0}; auto modmul = [&](uint64_t a, uint64_t b) -> uint64_t { return a * b % n; }; return miller_rabin(n, witness, modmul); } else { rep(i, 50) if (!(n % primes[i]))return false; constexpr uint64_t witness[] = {2, 325, 9375, 28178, 450775, 9780504, 1795265022, 0}; auto modmul = [&](uint64_t a, uint64_t b) -> uint64_t { return (uint64_t) ((__uint128_t) a * b % n); }; return miller_rabin(n, witness, modmul); }}
#define isprime prime
vi divisors(int v) { vi res; dou lim = std::sqrt(v); for (int i = 1; i <= lim; ++i) { if (v % i == 0) { res.push_back(i);/* if (i != v / i)res.push_back(v / i);*/ } } rer(i, sz(res) - 1) { if (res[i] != v / res[i])res.push_back(v / res[i]); } return res; }
#define divi divisors
vp factorization(int v) { assert(v); int tv = v; vp res; if (!sz(primes))setprime(); for (auto &&p :primes) { if (v % p == 0)res.eb(p, 0); while (v % p == 0) { v /= p; res.back().second++; } if (v == 1 || p * p > tv)break; } if (v > 1)res.eb(v, 1); return res; }
map<int, int> factorization_map(int v) { assert(v); int tv = v; vp res; if (!sz(primes))setprime(); for (auto &&p :primes) { if (v % p == 0)res.eb(p, 0); while (v % p == 0) { v /= p; res.back().second++; } if (v == 1 || p * p > tv)break; } if (v > 1)res.eb(v, 1); map<int,int> nres; fora(r,res){ nres[r.fi]=r.se; } return nres; }
//注意 gcdを取る間隔 i%10 が場合によってはtleを引き起こす
//うまくいかなかったら%1で動かすように変更した
vp rho(int v) { assert(v); if (v == 1)return vp(); vi ret; if (!sz(primes)) setprime(); int lim = 300; /*64bit*/ if (v < 4294967296)lim = 80; /*32bit*/ else if (v < 281474976710656LL)lim = 120; /*48bit*/ for (int i = 0; i < lim; i += 5) { /*v<=1の判定回数を減らせる分高速化できる事を期待している*/ while (v % primes[i] == 0) ret.push_back(primes[i]), v /= primes[i]; while (v % primes[i + 1] == 0) ret.push_back(primes[i + 1]), v /= primes[i + 1]; while (v % primes[i + 2] == 0) ret.push_back(primes[i + 2]), v /= primes[i + 2]; while (v % primes[i + 3] == 0) ret.push_back(primes[i + 3]), v /= primes[i + 3]; while (v % primes[i + 4] == 0) ret.push_back(primes[i + 4]), v /= primes[i + 4]; if (v <= 1) { sort(ret);/*試し割りだけで終わった時*/ return run_length(ret); } } int lower_prime_bound = primes[lim - 1] * primes[lim - 1]; /*試し割りするか*/ mt19937 mr; mr.seed(clock()); int c; auto fac = [&](int v, const int loop = 10) {/* if (v == 4)return 2ll; //試し割りで消えた*/ c = mr() % v; int x = mr() % v; int y = x; int d = 1; int lim = sqrt(v) + 2; /*brentによる改良 差分を一操作で求められる*/ for (int i = 1, mul = 1, next_2pow = 2; d == 1 && i <= lim; i++) { if (i == next_2pow) { y = x; next_2pow <<= 1; } x = ((u128) x * x + c) % v; mul = ((u128) mul * abs(x - y)) % v;/*ユークリッドの互除法と同じ原理で因数は保たれる*/ if (i % loop == 0) {/*10とかなんとか iによっては死ぬ*/ d = gcd(mul, v); mul = 1; } } if (d == v) return -1ll; return d; }; queue<int> q; q.push(v); while (!q.empty()) { int v = q.front(); q.pop(); if (prime(v)) { ret.push_back(v); continue; } int d = -1; /*基本loop回数10でやり、駄目なら1で*/ for (int i = 0; d == -1 && i < 5; i++)d = fac(v, 10); if (d == -1)while (d == -1)d = fac(v, 1); int d2 = v / d; rep(_, 2) { if (d <= lower_prime_bound)ret.push_back(d); else q.push(d); d = d2; } } sort(ret); return run_length(ret); }
//nに対して、商がqになるような[l, r)を持つ
struct dra { ll q, l, r,len; dra(ll q_,ll l_,ll r_):q(q_),l(l_),r(r_),len(r_-l_){}};
vector<dra> drange(ll n, ll l = 1, ll r = -1) { if (r == -1)r = n+1; vector<dra> res; for (ll x = l; x < r;) { ll divisor = n / x; ll e; if (divisor == 0) { e = r; } else { e = min(r, n / divisor + 1); } res.emplace_back(divisor, x, e); x = e; } return res; }/*@formatter:on*/;
}
using namespace pnumber_tools;
//@formatter:off
signed main() {
in(N);
auto tD=factorization_map(N);
int res=0;
fora(d,tD){
res^=d.se;
}
deb(res);
if(res){
out("Alice");
}else{
out("Bob");
}
}