Here is the requirement of a problem: Implement int sqrt(int x). Compute and return the truncated square root of x. x is guaranteed to be a non- negative integer. Example 1: Input: 4 Output: 2 Example 2: Input: 8 Output: 2 Explanation: The square root of 8 is 2.82842.., and since we want to return an integer, the decimal part will be truncated. Here is the solution of one programmer: class Solution { public int mysqrt(int x) { if (x == 0) return 0; int left = 1, right = x, ans=right; while (left <= right) { int mid = left + (right - left) / 2; if (mid >= x / mid) { right = mid - 1; ans = mid; } else { left = mid + 1; } } return ans; } } Do you think the above solution is correct? If not, why?
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- Write a program that reads from stdin and filters out duplicate lines of input. It should read lines from stdin, and then print each unique line along with a count of how many times it appeared. Input is case-sensitive, so “hello” and “Hello” are not duplicates. There can be an arbitrary number of strings, of arbitrary length. Note that only adjacent duplicates count, so if the input were the lines “hello”, “world”, and “hello” again, all three would be treated as unique. ./uniqhellohellohelloworldworld^D # close stdin3 hello2 world ./uniqhelloworldhello^D # close stdin1 hello1 world1 helloWrite a library of static methods that performs various geometric transforms on polygons. Mathematically, a polygon is defined by its sequence of vertices (x0, y 0), (x 1, y 1), (x 2, y 2), …. In Java, we will represent a polygon by storing the x– and y-coordinates of the vertices in two parallel arrays x[] and y[]. Three useful geometric transforms are scale, translate and rotate. Scale the coordinates of each vertex (x i, y i) by a factor α. x‘i = α xi y‘i = α yi Translate each vertex (x i, y i) by a given offset (dx, dy). x‘i = xi + dx y‘i = yi + dy Rotate each vertex (x i, y i) by θ degrees counterclockwise, around the origin. x‘i = xi cos θ – yi sin θ y‘i = yi cos θ + xi sin θ Write a two-dimensional transformation library by implementing the following API: public class PolygonTransform { // Returns a new array object that is an exact copy of the given array. // The given array is not mutated. public static double[] copy(double[] array) // Scales the polygon by the factor…Implement the first round of AES ( Advanced Encryption Standard ) in python. Given a message with 128 bits, two subkeys subkey0 and subkey1, your program should be able to perform one AddKey before Round 1 and the corresponding operations (SubBytes, ShiftRows, Mix-Columns, and AddKey) in Round 1, and output the result of the encryption after Round 1.
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