static int maximumSumSubarray ( int arr [ ] , int n ) {
  int min_prefix_sum = 0 ;
  int res = Integer . MIN_VALUE ;
  int prefix_sum [ ] = new int [ n ] ;
  prefix_sum [ 0 ] = arr [ 0 ] ;
  for ( int i = 1 ;
  i < n ;
  i ++ ) prefix_sum [ i ] = prefix_sum [ i - 1 ] + arr [ i ] ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    res = Math . max ( res , prefix_sum [ i ] - min_prefix_sum ) ;
    min_prefix_sum = Math . min ( min_prefix_sum , prefix_sum [ i ] ) ;
  }
  return res ;
}

static int maximumSumSubarray ( int arr [ ] , int n ) { int min_prefix_sum = 0 ; int res = Integer . MIN_VALUE ; int prefix_sum [ ] = new int [ n ] ; prefix_sum [ 0 ] = arr [ 0 ] ; for ( int i = 1 ; i < n ; i ++ ) prefix_sum [ i ] = prefix_sum [ i - 1 ] + arr [ i ] ; for ( int i = 0 ; i < n ; i ++ ) { res = Math . max ( res , prefix_sum [ i ] - min_prefix_sum ) ; min_prefix_sum = Math . min ( min_prefix_sum , prefix_sum [ i ] ) ; } return res ; }
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