Augmented Assignment Chain

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given seven integers $a,b,c,d,e,f,g$, initialize x=a, y=b, then execute x += b, y -= a, x *= c, y /= d, x //= e, y %= f, x **= g in that order. Print the final variables. This sequence is a Phuoc Hung OJ-authored concrete implementation of the catalog objective.

Input

One line with seven integers $a,b,c,d,e,f,g$ in that order.

Output

Print the final x and y, separated by one space. x is an integer and y is a float.

Subtask

• Subtask 1 — 100 points: $0\le a,b\le100$; $0\le c\le10$; $d\in\{1,2,4,8\}$; $1\le e,f\le10$; $0\le g\le3$.

Example

Input

8 12 3 2 5 7 2

Output

144 2.0

Explanation

Start with $x=8,y=12$. In order, the assignments give $x=20$, $y=4$, $x=60$, $y=2.0$, $x=12$, $y=2.0$, and finally $x=144$. Thus the result is 144 2.0.