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AP computer science a 2019 free response questions

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AP Computer Science A 2019 Free Response Questions 2019 AP ® Computer Science A Free Response Questions © 2019 The College Board College Board, Advanced Placement, AP, AP Central, and the acorn logo a[.]

2019 AP Computer Science A đ Free-Response Questions â 2019 The College Board College Board, Advanced Placement, AP, AP Central, and the acorn logo are registered trademarks of the College Board Visit the College Board on the web: collegeboard.org AP Central is the official online home for the AP Program: apcentral.collegeboard.org 2019 AP® COMPUTER SCIENCE A FREE-RESPONSE QUESTIONS COMPUTER SCIENCE A SECTION II Time—1 hour and 30 minutes Number of questions—4 Percent of total score—50 Directions: SHOW ALL YOUR WORK REMEMBER THAT PROGRAM SEGMENTS ARE TO BE WRITTEN IN JAVA Notes: • Assume that the interface and classes listed in the Java Quick Reference have been imported where appropriate • • Unless otherwise noted in the question, assume that parameters in method calls are not null and that methods are called only when their preconditions are satisfied In writing solutions for each question, you may use any of the accessible methods that are listed in classes defined in that question Writing significant amounts of code that can be replaced by a call to one of these methods will not receive full credit © 2019 The College Board Visit the College Board on the web: collegeboard.org -2- GO ON TO THE NEXT PAGE 2019 AP® COMPUTER SCIENCE A FREE-RESPONSE QUESTIONS The APCalendar class contains methods used to calculate information about a calendar You will write two methods of the class public class APCalendar { /** Returns true if year is a leap year and false otherwise */ private static boolean isLeapYear(int year) { /* implementation not shown */ } /** Returns the number of leap years between year1 and year2, inclusive * Precondition: 0, numCols > * Postcondition: each light has a 40% probability of being set to on */ public LightBoard(int numRows, int numCols) { /* to be implemented in part (a) */ } /** Evaluates a light in row index row and column index col and returns a status * as described in part (b) * Precondition: row and col are valid indexes in lights */ public boolean evaluateLight(int row, int col) { /* to be implemented in part (b) */ } // There may be additional instance variables, constructors, and methods not shown } © 2019 The College Board Visit the College Board on the web: collegeboard.org -15- GO ON TO THE NEXT PAGE 2019 AP® COMPUTER SCIENCE A FREE-RESPONSE QUESTIONS (a) Write the constructor for the LightBoard class, which initializes lights so that each light is set to on with a 40% probability The notation lights[r][c] represents the array element at row r and column c Complete the LightBoard constructor below /** Constructs a LightBoard object having numRows rows and numCols columns * Precondition: numRows > 0, numCols > * Postcondition: each light has a 40% probability of being set to on */ public LightBoard(int numRows, int numCols) © 2019 The College Board Visit the College Board on the web: collegeboard.org -16- GO ON TO THE NEXT PAGE 2019 AP® COMPUTER SCIENCE A FREE-RESPONSE QUESTIONS (b) Write the method evaluateLight, which computes and returns the status of a light at a given row and column based on the following rules If the light is on, return false if the number of lights in its column that are on is even, including the current light If the light is off, return true if the number of lights in its column that are on is divisible by three Otherwise, return the light’s current status For example, suppose that LightBoard sim = new LightBoard(7, 5) creates a light board with the initial state shown below, where true represents a light that is on and false represents a light that is off Lights that are off are shaded lights true true false true true true false false true false true false false true true true false false false true true false false false true true true false true true false false false false false Sample calls to evaluateLight are shown below Value Returned Explanation sim.evaluateLight(0, 3); false The light is on, and the number of lights that are on in its column is even sim.evaluateLight(6, 0); true The light is off, and the number of lights that are on in its column is divisible by sim.evaluateLight(4, 1); false sim.evaluateLight(5, 4); true Call to evaluateLight Returns the light’s current status Returns the light’s current status © 2019 The College Board Visit the College Board on the web: collegeboard.org -17- GO ON TO THE NEXT PAGE 2019 AP® COMPUTER SCIENCE A FREE-RESPONSE QUESTIONS Class information for this question public class LightBoard private boolean[][] lights public LightBoard(int numRows, int numCols) public boolean evaluateLight(int row, int col) Complete the evaluateLight method below /** Evaluates a light in row index row and column index col and returns a status * as described in part (b) * Precondition: row and col are valid indexes in lights */ public boolean evaluateLight(int row, int col) STOP END OF EXAM © 2019 The College Board Visit the College Board on the web: collegeboard.org -18- ... Sunday, denotes Monday, , and denotes Saturday For example, 2019 began on a Tuesday, and January is the fifth day of 2019 As a result, January 5, 2019, fell on a Saturday, and the method call dayOfWeek(1,... information about a calendar You will write two methods of the class public class APCalendar { /** Returns true if year is a leap year and false otherwise */ private static boolean isLeapYear(int... is not a leap year, while dayOfYear(3, 1, 2016) returns 61, since 2016 is a leap year Class information for this question public class APCalendar private static boolean isLeapYear(int year) public

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