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1545. Find Kth Bit in Nth Binary String/README.md

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+# 1545. Find Kth Bit in Nth Binary String
+
+Given two positive integers n and k, the binary string Sn is formed as follows:
+
+S1 = "0"
+Si = Si - 1 + "1" + reverse(invert(Si - 1)) for i > 1
+Where + denotes the concatenation operation, reverse(x) returns the reversed string x, and invert(x) inverts all the bits in x (0 changes to 1 and 1 changes to 0).
+
+For example, the first four strings in the above sequence are:
+
+S1 = "0"
+S2 = "011"
+S3 = "0111001"
+S4 = "011100110110001"
+Return the kth bit in Sn. It is guaranteed that k is valid for the given n.
+
+ 
+
+### Example 1:
+```
+Input: n = 3, k = 1
+Output: "0"
+Explanation: S3 is "0111001".
+The 1st bit is "0".
+```
+### Example 2:
+```
+Input: n = 4, k = 11
+Output: "1"
+Explanation: S4 is "011100110110001".
+The 11th bit is "1".
+```
+
+### Constraints:
+```
+1 <= n <= 20
+1 <= k <= 2n - 1
+```