Given a string representing arbitrarily nested ternary expressions, calculate the result of the expression. You can always assume that the given expression is valid and only consists of digits 0-9, ?, :, T and F (T and F represent True and False respectively). Note: The length of the given string is ≤ 10000. Each number will contain only one digit. The conditional expressions group right-to-left (as usual in most languages). The condition will always be either T or F. That is, the condition will never be a digit. The result of the expression will always evaluate to either a digit 0-9, T or F. Example 1: Input: "T?2:3" Output: "2" Explanation: If true, then result is 2; otherwise result is 3. Example 2: Input: "F?1:T?4:5" Output: "4" Explanation: The conditional expressions group right-to-left. Using parenthesis, it is read/evaluated as: "(F ? 1 : (T ? 4 : 5))" "(F ? 1 : (T ? 4 : 5))" -> "(F ? 1 : 4)" or -> "(T ? 4 : 5)" -> "4" -> "4" Example 3: Input: "T?T?F:5:3" Output: "F" Explanation: The conditional expressions group right-to-left. Using parenthesis, it is read/evaluated as: "(T ? (T ? F : 5) : 3)" "(T ? (T ? F : 5) : 3)" -> "(T ? F : 3)" or -> "(T ? F : 5)" -> "F" -> "F