If the word on the board is P x , for some shorter word x , you may change it to P xx . For example, if the word is PQRRQ then you may change it to PQRRQQRRQ .

, for some shorter word , you may change it to . For example, if the word is then you may change it to . If the word on the board is x QQQ y , for some shorter words x and y , then you may change it to x R y , replacing the sequence QQQ with a single R .

, for some shorter words and , then you may change it to , replacing the sequence with a single . If the word on the board is xRRy, for some shorter words x and y, then you may change it to xy, deleting the sequence RR entirely.

(i) For each of the following words, say whether you can make it or not by following the rules of the game: QPR, PQQ, PQR, PR. (ii) Given any word, how can you decide whether it can be made or not?