4fd800b3a8 2011-02-23        kinaba: //-------------------------------------------------------------
4fd800b3a8 2011-02-23        kinaba: // Range Minimum Query
4fd800b3a8 2011-02-23        kinaba: //   O(N log N) construction
4fd800b3a8 2011-02-23        kinaba: //   O(1) per each query
4fd800b3a8 2011-02-23        kinaba: //   returns the LEFTMOST/ALL minimum index (I hope)
4fd800b3a8 2011-02-23        kinaba: //
4fd800b3a8 2011-02-23        kinaba: // Verified by
4fd800b3a8 2011-02-23        kinaba: //   - SRM337 Div1 LV2
4fd800b3a8 2011-02-23        kinaba: //   - SRM431 Div1 LV3
4fd800b3a8 2011-02-23        kinaba: //-------------------------------------------------------------
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: template<typename T>
4fd800b3a8 2011-02-23        kinaba: struct RMQ
4fd800b3a8 2011-02-23        kinaba: {
4fd800b3a8 2011-02-23        kinaba: 	vector< vector<int> > rm;
4fd800b3a8 2011-02-23        kinaba: 	vector<T> d;
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	RMQ( const vector<T>& d ) : d(d) {
4fd800b3a8 2011-02-23        kinaba: 		int n = d.size();
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 		// rm[k][x] = i s.t. d[i] is the minimum in [x, x+2^k)
4fd800b3a8 2011-02-23        kinaba: 		rm.push_back( vector<int>(n) );
4fd800b3a8 2011-02-23        kinaba: 		for(int x=0; x<n; ++x)
4fd800b3a8 2011-02-23        kinaba: 			rm[0][x] = x;
4fd800b3a8 2011-02-23        kinaba: 		for(int k=1; (1<<k)<=n; ++k) {
4fd800b3a8 2011-02-23        kinaba: 			rm.push_back( rm[k-1] );
4fd800b3a8 2011-02-23        kinaba: 			for(int x=0; x+(1<<k-1)<n; ++x)
4fd800b3a8 2011-02-23        kinaba: 				if( d[rm[k][x]] > d[rm[k-1][x + (1<<k-1)]] )
4fd800b3a8 2011-02-23        kinaba: 					rm[k][x] = rm[k-1][x + (1<<k-1)];
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	int operator()(int L, int R) const { // inclusive
4fd800b3a8 2011-02-23        kinaba: 		int k=0;
4fd800b3a8 2011-02-23        kinaba: 		for(; L+(1<<k) < R-(1<<k)+1; ++k) {}
4fd800b3a8 2011-02-23        kinaba: 		LL i = rm[k][L];
4fd800b3a8 2011-02-23        kinaba: 		LL j = rm[k][R-(1<<k)+1];
4fd800b3a8 2011-02-23        kinaba: 		return (d[i]<=d[j] ? i : j);
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: 
4fd800b3a8 2011-02-23        kinaba: 	vector<int> all(int L, int R) const {
4fd800b3a8 2011-02-23        kinaba: 		vector<int> ans;
4fd800b3a8 2011-02-23        kinaba: 		int minValue = d[(*this)(L, R)];
4fd800b3a8 2011-02-23        kinaba: 		while( L <= R ) {
4fd800b3a8 2011-02-23        kinaba: 			int C = (*this)(L, R);
4fd800b3a8 2011-02-23        kinaba: 			if( minValue < d[C] )
4fd800b3a8 2011-02-23        kinaba: 				break;
4fd800b3a8 2011-02-23        kinaba: 			ans.push_back(C);
4fd800b3a8 2011-02-23        kinaba: 			L = C+1;
4fd800b3a8 2011-02-23        kinaba: 		}
4fd800b3a8 2011-02-23        kinaba: 		return ans;
4fd800b3a8 2011-02-23        kinaba: 	}
4fd800b3a8 2011-02-23        kinaba: };