#line 2 "cpplib/util/template.hpp" #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #pragma GCC target("avx") #include using namespace std; struct __INIT__{__INIT__(){cin.tie(0);ios::sync_with_stdio(false);cout< vec; typedef vector> mat; typedef vector>> mat3; typedef vector svec; typedef vector> smat; templateinline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<inline void output2(T t){for(auto i:t)output(i);} templateinline void debug(T t){bool f=0;for(auto i:t){cerr<<(f?" ":"")<inline void debug2(T t){for(auto i:t)output(i);} #define loop(n) for(long long _=0;_<(long long)(n);++_) #define rep(i,...) for(auto i:range(__VA_ARGS__)) #define rrep(i,...) for(auto i:reversed(range(__VA_ARGS__))) #define repi(i,a,b) for(lint i=lint(a);i<(lint)(b);++i) #define rrepi(i,a,b) for(lint i=lint(b)-1;i>=lint(a);--i) #define irep(i) for(lint i=0;;++i) inline vector range(long long n){if(n<=0)return vector();vectorv(n);iota(v.begin(),v.end(),0LL);return v;} inline vector range(long long a,long long b){if(b<=a)return vector();vectorv(b-a);iota(v.begin(),v.end(),a);return v;} inline vector range(long long a,long long b,long long c){if((b-a+c-1)/c<=0)return vector();vectorv((b-a+c-1)/c);for(int i=0;i<(int)v.size();++i)v[i]=i?v[i-1]+c:a;return v;} templateinline T reversed(T v){reverse(v.begin(),v.end());return v;} #define all(n) begin(n),end(n) templatebool chmin(T& s,const E& t){bool res=s>t;s=min(s,t);return res;} templatebool chmax(T& s,const E& t){bool res=s(s,t);return res;} const vector dx={1,0,-1,0,1,1,-1,-1}; const vector dy={0,1,0,-1,1,-1,1,-1}; #define SUM(v) accumulate(all(v),0LL) templateauto make_vector(T x,int arg,Args ...args){if constexpr(sizeof...(args)==0)return vector(arg,x);else return vector(arg,make_vector(x,args...));} #define extrep(v,...) for(auto v:__MAKE_MAT__({__VA_ARGS__})) vector> __MAKE_MAT__(vector v){if(v.empty())return vector>(1,vector());long long n=v.back();v.pop_back();vector> ret;vector> tmp=__MAKE_MAT__(v);for(auto e:tmp)for(long long i=0;iostream& operator<<(ostream& out,pairv){out<<"("<>k; if(k==0){ cout<