| Your friend John uses a lot of emoticons when you talk to him on Messenger. In | |
| addition to being a person who likes to express himself through emoticons, he | |
| hates unbalanced parenthesis so much that it makes him go :( | |
| Sometimes he puts emoticons within parentheses, and you find it hard to tell | |
| if a parenthesis really is a parenthesis or part of an emoticon. | |
| A message has balanced parentheses if it consists of one of the following: | |
| * \- An empty string "" | |
| * \- One or more of the following characters: 'a' to 'z', ' ' (a space) or ':' (a colon) | |
| * \- An open parenthesis '(', followed by a message with balanced parentheses, followed by a close parenthesis ')'. | |
| * \- A message with balanced parentheses followed by another message with balanced parentheses. | |
| * \- A smiley face ":)" or a frowny face ":(" | |
| Write a program that determines if there is a way to interpret his message | |
| while leaving the parentheses balanced. | |
| ## Input | |
| The first line of the input contains a number **T **(1 ≤ **T** ≤ 50), the | |
| number of test cases. | |
| The following **T** lines each contain a message of length **s** that you got | |
| from John. | |
| ## Output | |
| For each of the test cases numbered in order from 1 to **T**, output "Case #i: | |
| " followed by a string stating whether or not it is possible that the message | |
| had balanced parentheses. If it is, the string should be "YES", else it should | |
| be "NO" (all quotes for clarity only) | |
| ## Constraints | |
| * 1 ≤ length of **s** ≤ 100 | |