defines

//defines
typedef long long LL;
typedef pair<int,int> pii;
typedef pair<LL,LL> pll;
typedef vector<int> vi;
typedef vector<LL> vl;
typedef vector<vector<int>> vvi;
typedef vector<vector<LL>> vvl;
#define pb push_back
#define F first
#define S second
#define mid (LB+RB)/2
#define mkp make_pair

//iterators
#define iter(x) x.begin(),x.end()
#define aiter(a,n) a,a+n

//loops
#define REP(n) for (int ___=n > 0 ? n : 0;___--;)
#define REP0(i,n) for (int i=0,___=n;i<___;++i)
#define REP1(i,n) for (int i=1,___=n;i<=___;++i)
#define MEM(e,val) memset (e,val,sizeof(e))