Description: You took a peek on Thanos wearing Infinity Gauntlet. In the Gauntlet there is a place for six Infinity Gems: - the Power Gem of purple color, - the Time Gem of green color, - the Space Gem of blue color, - the Soul Gem of orange color, - the Reality Gem of red color, - the Mind Gem of yellow color. Using colors of Gems you saw in the Gauntlet determine the names of absent Gems. Input Format: 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 Format: 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. 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.