How many patterns can you make with 2 digits, followed by a letter,followed by a digit, if your pattern cannot start with 0?
Question
How many patterns can you make with 2 digits, followed by a letter,followed by a digit, if your pattern cannot start with 0?
Solution
Sure, let's break it down:
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The first digit: Since the pattern cannot start with 0, we have 9 choices (1-9) for the first digit.
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The second digit: This can be any digit from 0-9, so we have 10 choices.
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The letter: Assuming we're using the English alphabet, we have 26 choices (A-Z).
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The final digit: This can be any digit from 0-9, so we have 10 choices.
To find the total number of patterns, we multiply the number of choices for each part of the pattern together:
9 (first digit) * 10 (second digit) * 26 (letter) * 10 (final digit) = 23,400 patterns.
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Pattern RepresentationMax Score: 100Given a pattern consisting only of 'I' and 'S', where I represents descending and S represents ascending, you need to display a sequence of numbers describing the ascending or descending order. Each character should be represented by 2 digits (between 1-9) - denoting the character's ascending or descending nature. The second character in the pattern takes the last digit from the first character to build the sequence. The third character in the pattern takes the last digit from the second character to build the sequence and so on. The sequence cannot have repeated digits. Find the smallest such sequence which represents the given pattern.Input FormatThe first line of input contains T - the number of test cases. It is followed by T lines, each containing a pattern, consisting only of 'S' and 'I'.Output FormatFor each test case, print the smallest sequence which represents the given pattern, separated by a newline.Constraints1 <= T <= 5001 <= len(str) <= 8ExampleInput4SISISIISSOutput1221132432145ExplanationExample 1:The given pattern has a single character 'S', which denotes ascending nature. There are multiple ways to represent it - 12, 47, 28, 34 etc. However, "12" is the smallest of them.Example 2:The given pattern has a single character 'I', which denotes descending nature. There are multiple ways to represent it - 21, 41, 75, 96 etc. However, "21" is the smallest of them.Example 3:The given pattern has 3 characters 'S' (ascending), 'I' (descending) and 'S' (ascending). There are multiple ways to represent it - 1324, 1634, 1435, 4812, 3748 etc. However, "1324" is the smallest of them.
A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock requires a particular sequence of four digits with no repeats, how many such sequences will be possible?Choices:- 4224 720 560 5040
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