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Given a binary string s. Perform r iterations on string s, where in each iteration 0 becomes 01 and 1 becomes 10. Find the nth character (considering 0 based indexing) of the string after performing these r iterations (see examples for better understanding).

Question

Given a binary string s. Perform r iterations on string s, where in each iteration 0 becomes 01 and 1 becomes 10. Find the nth character (considering 0 based indexing) of the string after performing these r iterations (see examples for better understanding).

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Solution

Sure, here is a Python solution for the problem:

def find_nth_char(s, r, n):
    for _ in range(r):
        s = ''.join('01' if c == '0' else '10' for c in s)
    return s[n]

# Test the function
s = '01'
r = 2
n = 3
print(find_nth_char(s, r, n))  # Output: '1'

This function works by performing the specified transformations on the string s for r iterations. After all iterations are done, it returns the nth character of the resulting string.

Please note that this solution has a time complexity of O(r * len(s)) and may not work efficiently for large inputs. For a more efficient solution, you may need to find a pattern or mathematical formula that directly gives the nth character after r iterations without actually performing all the iterations.

This problem has been solved

Similar Questions

You are given a binary string s๐‘  of length n๐‘›, consisting of zeros and ones. You can perform the following operation exactly once:Choose an integer p๐‘ (1โ‰คpโ‰คn1โ‰ค๐‘โ‰ค๐‘›).Reverse the substring s1s2โ€ฆsp๐‘ 1๐‘ 2โ€ฆ๐‘ ๐‘. After this step, the string s1s2โ€ฆsn๐‘ 1๐‘ 2โ€ฆ๐‘ ๐‘› will become spspโˆ’1โ€ฆs1sp+1sp+2โ€ฆsn๐‘ ๐‘๐‘ ๐‘โˆ’1โ€ฆ๐‘ 1๐‘ ๐‘+1๐‘ ๐‘+2โ€ฆ๐‘ ๐‘›.Then, perform a cyclic shift of the string s๐‘  to the left p๐‘ times. After this step, the initial string s1s2โ€ฆsn๐‘ 1๐‘ 2โ€ฆ๐‘ ๐‘› will become sp+1sp+2โ€ฆsnspspโˆ’1โ€ฆs1๐‘ ๐‘+1๐‘ ๐‘+2โ€ฆ๐‘ ๐‘›๐‘ ๐‘๐‘ ๐‘โˆ’1โ€ฆ๐‘ 1.For example, if you apply the operation to the string 110001100110 with p=3๐‘=3, after the second step, the string will become 011001100110, and after the third step, it will become 001100110011.A string s๐‘  is called k๐‘˜-proper if two conditions are met:s1=s2=โ€ฆ=sk๐‘ 1=๐‘ 2=โ€ฆ=๐‘ ๐‘˜;si+kโ‰ si๐‘ ๐‘–+๐‘˜โ‰ ๐‘ ๐‘– for any i๐‘– (1โ‰คiโ‰คnโˆ’k1โ‰ค๐‘–โ‰ค๐‘›โˆ’๐‘˜).For example, with k=3๐‘˜=3, the strings 000, 111000111, and 111000 are k๐‘˜-proper, while the strings 000000, 001100, and 1110000 are not.You are given an integer k๐‘˜, which is a divisor of n๐‘›. Find an integer p๐‘ (1โ‰คpโ‰คn1โ‰ค๐‘โ‰ค๐‘›) such that after performing the operation, the string s๐‘  becomes k๐‘˜-proper, or determine that it is impossible. Note that if the string is initially k๐‘˜-proper, you still need to apply exactly one operation to it.InputEach test consists of multiple test cases. The first line contains one integer t๐‘ก (1โ‰คtโ‰ค1041โ‰ค๐‘กโ‰ค104)ย โ€” the number of test cases. The description of the test cases follows.The first line of each test case contains two integers n๐‘› and k๐‘˜ (1โ‰คkโ‰คn1โ‰ค๐‘˜โ‰ค๐‘›, 2โ‰คnโ‰ค1052โ‰ค๐‘›โ‰ค105)ย โ€” the length of the string s๐‘  and the value of k๐‘˜. It is guaranteed that k๐‘˜ is a divisor of n๐‘›.The second line of each test case contains a binary string s๐‘  of length n๐‘›, consisting of the characters 0 and 1.It is guaranteed that the sum of n๐‘› over all test cases does not exceed 2โ‹…1052โ‹…105.OutputFor each test case, output a single integerย โ€” the value of p๐‘ to make the string k๐‘˜-proper, or โˆ’1โˆ’1 if it is impossible.If there are multiple solutions, output any of them.ExampleinputCopy78 4111000014 2111012 31110001000115 5000006 11010018 40111000112 2110001100110outputCopy3-1754-13NoteIn the first test case, if you apply the operation with p=3๐‘=3, after the second step of the operation, the string becomes 11100001, and after the third step, it becomes 00001111. This string is 44-proper.In the second test case, it can be shown that there is no operation after which the string becomes 22-proper.In the third test case, if you apply the operation with p=7๐‘=7, after the second step of the operation, the string becomes 100011100011, and after the third step, it becomes 000111000111. This string is 33-proper.In the fourth test case, after the operation with any p๐‘, the string becomes 55-proper.

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Which method in StringBuffer is used to obtain the index within the sequence of the first occurrence of a specified character or substring?a)findFirst()b)indexOf()c)search()d)locate()

Write the pseudocode of the binary search algorithm and generate the recurrence relation from it

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