You are given a 0-indexed 2D integer array questions
where questions[i]
= [pointsi, brainpoweri]
.
The array describes the questions of an exam, where you have to process the questions in order (i.e., starting from question 0) and make a decision whether to solve or skip each question. Solving question i will earn you pointsi points but you will be unable to solve each of the next brainpoweri questions. If you skip question i, you get to make the decision on the next question.
For example, given questions = [[3, 2], [4, 3], [4, 4], [2, 5]]
:
- If question 0 is solved, you will earn 3 points but you will be unable to solve questions 1 and 2.
- If instead, question 0 is skipped and question 1 is solved, you will earn 4 points but you will be unable to solve questions 2 and 3.
Return the maximum points you can earn for the exam.
Example
Input: questions = [[3,2],[4,3],[4,4],[2,5]]
Output: 5
Explanation: The maximum points can be earned by solving questions 0 and 3.
- Solve question 0: Earn 3 points, will be unable to solve the next 2 questions
- Unable to solve questions 1 and 2
- Solve question 3: Earn 2 points
Total points earned: 3 + 2 = 5. There is no other way to earn 5 or more points.
Solution
Great solution found here
/**
* @param {number[][]} questions
* @return {number}
*/
var mostPoints = function (questions) {
// Set up a variable for the total number of questions
let totalQuestions = questions.length;
// Set up a variable for the total number of points
let dp = new Array(totalQuestions).fill(0);
//FOR LOOP: Loop through the questions array
for (let i = totalQuestions - 1; i >= 0; i--) {
// Set up a variable for the current question
let point = questions[i][0];
// Set up a variable for the current question's brainpower
let power = questions[i][1];
// Set up a variable for the total number of points
let solve = point + (dp[i + power + 1] || 0);
// Set up a variable for skipped questions
let skip = dp[i + 1] || 0;
//Solve for the maximum number of points
dp[i] = Math.max(solve, skip);
}
return dp[0];
};