It seems like the year of 2013 came only yesterday. Do you know a curious fact? The year of 2013 is the first year after the old 1987 with only distinct digits.Now you are suggested to solve the following problem: given a year number, find the minimum year number which is strictly larger than the given one and has only distinct digits.InputThe single line contains integer y (1000 ≤ y ≤ 9000) — the year number.OutputPrint a single integer — the minimum year number that is strictly larger than y and all it's digits are distinct. It is guaranteed that the answer exists.
Question
It seems like the year of 2013 came only yesterday. Do you know a curious fact? The year of 2013 is the first year after the old 1987 with only distinct digits.Now you are suggested to solve the following problem: given a year number, find the minimum year number which is strictly larger than the given one and has only distinct digits.InputThe single line contains integer y (1000 ≤ y ≤ 9000) — the year number.OutputPrint a single integer — the minimum year number that is strictly larger than y and all it's digits are distinct. It is guaranteed that the answer exists.
Solution
To solve this problem, you can follow these steps:
- Increment the given year by 1 to find the next year.
- Convert the year to a string to easily access each digit.
- Check if all the digits in the year are distinct. You can do this by converting the string to a set and comparing the lengths. If all digits are distinct, the length of the set will be equal to the length of the string.
- If the year does not have distinct digits, go back to step 1.
- Once you find a year with distinct digits, return that year.
Here is a Python solution following these steps:
def find_next_distinct_year(year):
while True:
year += 1
if len(set(str(year))) == len(str(year)):
return year
You can call this function with the given year to find the next year with distinct digits. For example:
print(find_next_distinct_year(1987)) # Output: 2013
This function works by continuously incrementing the year until it finds a year with distinct digits. It checks for distinct digits by converting the year to a string and then to a set. Since sets only contain unique elements, if the length of the set is equal to the length of the string, that means all digits are distinct.
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