Medium
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.
questions = \[\[3, 2], [4, 3], [4, 4], [2, 5]]
:
0
is solved, you will earn 3
points but you will be unable to solve questions 1
and 2
.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 1:
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.
Example 2:
Input: questions = [[1,1],[2,2],[3,3],[4,4],[5,5]]
Output: 7
Explanation: The maximum points can be earned by solving questions 1 and 4.
Skip question 0
Solve question 1: Earn 2 points, will be unable to solve the next 2 questions
Unable to solve questions 2 and 3
Solve question 4: Earn 5 points
Total points earned: 2 + 5 = 7. There is no other way to earn 7 or more points.
Constraints:
1 <= questions.length <= 105
questions[i].length == 2
1 <= pointsi, brainpoweri <= 105
class Solution {
fun mostPoints(questions: Array<IntArray>): Long {
val n = questions.size
val memo = LongArray(n)
memo[n - 1] = questions[n - 1][0].toLong()
for (i in n - 2 downTo 0) {
if (i + questions[i][1] + 1 < n) {
memo[i] = Math.max(memo[i + 1], questions[i][0] + memo[i + questions[i][1] + 1])
} else {
memo[i] = Math.max(memo[i + 1], questions[i][0].toLong())
}
}
return memo[0]
}
}