Relational and Logical Operators

Practise building up boolean expressions with relational and logical operators.

Five values are read from the standard input, one per line, in this order:

1. a — an integer
2. price1 — an integer, the price under offer 1
3. discount1 — a float, the discount on offer 1 in percent
4. price2 — an integer, the price under offer 2
5. discount2 — a float, the discount on offer 2 in percent

Assign the following boolean variables:

• output1 — True if a is greater than or equal to 5
• output2 — True if a is divisible by 5
• output3 — True if a is an odd number less than 10
• output4 — True if a is an odd number in the range -10 to 10 (both exclusive)
• output5 — True if str(a) has an even number of characters and no more than 10 characters
• is_offer1_cheaper — True if the price of offer 1 after its discount is strictly less than the price of offer 2 after its discount

Every variable must hold a bool, so build each one out of comparisons and the and / or / not operators rather than an if statement.

Your task

The input is read for you. Assign the answers to output1, output2, output3, output4, output5, is_offer1_cheaper.

You do not need to print anything — the values you assign to those names are what gets checked, in that order.

Example

Input

5
50
4
60
8

Output

True
True
True
True
False
True