Problem
There is a special kind of apple tree that grows apples every day for n
days. On the ith
day, the tree grows apples[i]
apples that will rot after days[i]
days, that is on day i + days[i]
the apples will be rotten and cannot be eaten. On some days, the apple tree does not grow any apples, which are denoted by apples[i] == 0
and days[i] == 0
.
You decided to eat at most one apple a day (to keep the doctors away). Note that you can keep eating after the first n
days.
Given two integer arrays days
and apples
of length n
, return the maximum number of apples you can eat.
Example 1:
Input: apples = [1,2,3,5,2], days = [3,2,1,4,2]
Output: 7
Explanation: You can eat 7 apples:
- On the first day, you eat an apple that grew on the first day.
- On the second day, you eat an apple that grew on the second day.
- On the third day, you eat an apple that grew on the second day. After this day, the apples that grew on the third day rot.
- On the fourth to the seventh days, you eat apples that grew on the fourth day.
Example 2:
Input: apples = [3,0,0,0,0,2], days = [3,0,0,0,0,2]
Output: 5
Explanation: You can eat 5 apples:
- On the first to the third day you eat apples that grew on the first day.
- Do nothing on the fouth and fifth days.
- On the sixth and seventh days you eat apples that grew on the sixth day.
Constraints:
n == apples.length == days.length
1 <= n <= 2 * 10^4
0 <= apples[i], days[i] <= 2 * 10^4
days[i] = 0
if and only ifapples[i] = 0
.
Solution (Java)
class Solution {
public int eatenApples(int[] apples, int[] days) {
PriorityQueue<int[]> minHeap = new PriorityQueue<>((a, b) -> a[0] - b[0]);
int eatenApples = 0;
for (int i = 0; i < apples.length || !minHeap.isEmpty(); i++) {
if (i < apples.length) {
minHeap.offer(new int[] {i + days[i], apples[i]});
}
while (!minHeap.isEmpty() && (minHeap.peek()[0] <= i || minHeap.peek()[1] <= 0)) {
minHeap.poll();
}
if (!minHeap.isEmpty()) {
eatenApples++;
minHeap.peek()[1]--;
}
}
return eatenApples;
}
}
Explain:
nope.
Complexity:
- Time complexity : O(n).
- Space complexity : O(n).