#include using namespace std; typedef long long ll; #define P pair #define FOR(I,A,B) for(ll I = ll(A); I < ll(B); ++I) #define FORR(I,A,B) for(ll I = ll((B)-1); I >= ll(A); --I) #define TO(x,t,f) ((x)?(t):(f)) #define SORT(x) (sort(x.begin(),x.end())) // 0 2 2 3 4 5 8 9 #define POSL(x,v) (lower_bound(x.begin(),x.end(),v)-x.begin()) //xi>=v x is sorted #define POSU(x,v) (upper_bound(x.begin(),x.end(),v)-x.begin()) //xi>v x is sorted #define NUM(x,v) (POSU(x,v)-POSL(x,v)) //x is sorted #define REV(x) (reverse(x.begin(),x.end())) //reverse ll gcd_(ll a,ll b){if(a%b==0)return b;return gcd_(b,a%b);} ll lcm_(ll a,ll b){ll c=gcd_(a,b);return ((a/c)*(b/c)*c);} #define NEXTP(x) next_permutation(x.begin(),x.end()) const ll INF=ll(1e16)+ll(7); const ll MOD=1000000007LL; #define out(a) cout<