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Vectors

Write a Vector class for 2D vectors with + (addition), a dot product method and a length method.

Input: two vectors "x y", one per line. Output: their sum as x y, then the dot product, then the length of the sum with two decimals, each on its own line.

Examples

Input
1 2
3 4
Output
4 6
11
7.21
Input
0 0
0 0
Output
0 0
0
0.00

One more test checks other inputs when you press Check.

Stuck? The idea behind classes

A class describes a kind of object: its data (attributes, set in __init__) and what it can do (methods). Each object made from it has its own data.

self is the object a method is called on; __str__ says how the object prints.

class Account:
    def __init__(self, owner):
        self.owner = owner
        self.balance = 0

    def pay_in(self, amount):
        self.balance += amount

acc = Account("Ann")
acc.pay_in(5)
print(acc.balance)

Watch for: Every method's first parameter is self, and attributes are reached through it: self.balance, not balance.

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