Compare the Triplets

Source: HackerRank

Version: Phuoc Hung OJ Extended

Problem Statement

Alice and Bob each have three ratings for a programming challenge. $A=(a_0,a_1,a_2)$ contains Alice's ratings and $B=(b_0,b_1,b_2)$ contains Bob's ratings.

For each $i\in\{0,1,2\}$:

• if $a_i>b_i$, Alice receives $1$ point;
• if $a_i<b_i$, Bob receives $1$ point;
• if $a_i=b_i$, neither receives a point for that position.

Compute Alice's and Bob's total comparison scores.

Input

• The first line contains $a_0,a_1,a_2$.
• The second line contains $b_0,b_1,b_2$.

Output

Print two integers on one line: Alice's score first, then Bob's score.

Subtasks

Subtask 1 (100 points): $1\le a_i\le100$ and $1\le b_i\le100$ for $i\in\{0,1,2\}$.

Examples

Input

5 6 7
3 6 10

Output

1 1

Explanation

At index $0$, $5>3$, so Alice receives one point. At index $1$, $6=6$, so neither receives a point. At index $2$, $7<10$, so Bob receives one point. The final scores are 1 1.