initialize the dp table and set all values to 0 pref [ i ] [ j ] will contain min ( dp [ i ] [ 0 ] , dp [ i ] [ 1 ] , ... dp [ i ] [ j ] )
int dp [ N ] [ MAX ] ; int pref [ N ] [ MAX ] ; for ( int i = 0 ; i < N ; i ++ ) { for ( int j = 0 ; j < MAX ; j ++ ) { dp [ i ] [ j ] = 0 ; pref [ i ] [ j ] = 0 ; } }