#include #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define FORD(i, a, b) for(int i = (a); i >= (b); --i) #define VAR(v, i) __typeof(i) v=(i) #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define all(v) (v).begin(),(v).end() #define PII pair #define mp make_pair #define st first #define nd second #define pb push_back #define lint long long int #define VI vector #define debug(x) {cerr <<#x <<" = " <