Infinity Gauntlet

Description:

Input:

In the first line of input there is one integer $$$n$$$ ($$$0 \le n \le 6$$$) — the number of Gems in Infinity Gauntlet.

In next $$$n$$$ lines there are colors of Gems you saw. Words used for colors are: purple, green, blue, orange, red, yellow. It is guaranteed that all the colors are distinct. All colors are given in lowercase English letters.

Output:

In the first line output one integer $$$m$$$ ($$$0 \le m \le 6$$$) — the number of absent Gems.

Then in $$$m$$$ lines print the names of absent Gems, each on its own line. Words used for names are: Power, Time, Space, Soul, Reality, Mind. Names can be printed in any order. Keep the first letter uppercase, others lowercase.

Sample Input:

4
red
purple
yellow
orange

Sample Output:

2
Space
Time

Sample Input:

0

Sample Output:

6
Time
Mind
Soul
Power
Reality
Space

Note:

In the first sample Thanos already has Reality, Power, Mind and Soul Gems, so he needs two more: Time and Space.

In the second sample Thanos doesn't have any Gems, so he needs all six.