JAVA please

Concepts tested by this program: Variables Input/output .Loops Conditional Statements Methods . Arrays . Multi-Dimensional Arrays Program 1: Locker Puzzle Problem Description: A school has 100 lockers and 100 students. All lockers are closed on the first day of school. As the students enter, the first student, denoted S1, opens every locker. Then the second student, S2, begins with the second locker, denoted L2, and closes every other locker. Student S3 begins with the third locker and changes every third locker (closes it if it was open, and opens it if it was closed). Student S4 begins with locker L4 and changes every fourth locker. Student S5 starts with L5 and changes every fifth locker, and so on, until student S100 changes L100 After all the students, have passed through the building and changed the lockers which lockers are open? Write a program to find your answer. (Hint: Use an array of 100 boolean elements, each of which indicates whether a locker is open (true) or closed (false). Initially, all lockers are closed.) The program should display the answer like this: Sample Output: Locker x is open Locker y is open Locker z is open Coding: Name your program LockerPuzzle.java Program 2: (Pattern Recognition)Consecutive four equal numbers Problem Description: Write the following function that tests whether a two-dimensional list has four consecutive numbers of the same value, either horizontally, vertically, or diagonally ublic static va Write a test program that prompts the user to enter the number of rows and columns of a two-dimensional list and then the values in the list and displays True if the list contains four consecutive numbers with the same value. Otherwise, display False. Here are some examples of the true cases: 0 10 3 1 6 1 0 1 6 860 1 5 6 2 1 8295 5 2 1 8 2 9 5 6 2 1 6 299 6 2 1 82 9 6 5 6 1 19165 6 11 91 65 66 1 9 1 6 9 61 1 9 1 1 361 4071 5 6 1 407 1 3 6 1 4 07 1 3 9 1 4 0 7 3 3 3 3 407 0 1 0 3 1 6 1 0 1 6 8601 0 10 3 1 6 1 0 1 6 8 601 0 1 0 3 1 6 1 0 1 6 8 6 0 1 3 5 3 3 40 7 3 6 3 3 4 0 7 3 3 3 9 4 0 Coding: Name your program PatterRecognition.java