Two ($2$) students at JOI High School, student A and student B, took examinations in $4$ subjects: Informatics, Mathematics, Science, and English. Given the scores of student A and student B in these $4$ subjects, write a program that outputs the larger of student A's total score $S$ and student B's total score $T$. However, if their total scores are equal, output $S$ ($= T$).

Input

The input consists of $2$ lines.

Line $1$ contains $4$ integers separated by $1$ space, representing student A's score in Informatics, score in Mathematics, score in Science, and score in English, in this order.

Line $2$ contains $4$ integers separated by $1$ space, representing student B's score in Informatics, score in Mathematics, score in Science, and score in English, in this order.

The score for each subject is out of $100$ points, and no negative score is given.

Output

The output consists of $1$ integer representing the required value.

Examples

Input 1

100 80 70 60
80 70 80 90

Output 1

320

Input 2

100 80 70 60
80 70 60 100

Output 2

310