Medium
You are given an integer array nums
. You want to maximize the number of points you get by performing the following operation any number of times:
nums[i]
and delete it to earn nums[i]
points. Afterwards, you must delete every element equal to nums[i] - 1
and every element equal to nums[i] + 1
.Return the maximum number of points you can earn by applying the above operation some number of times.
Example 1:
Input: nums = [3,4,2]
Output: 6
Explanation: You can perform the following operations:
Delete 4 to earn 4 points. Consequently, 3 is also deleted. nums = [2].
Delete 2 to earn 2 points. nums = [].
You earn a total of 6 points.
Example 2:
Input: nums = [2,2,3,3,3,4]
Output: 9
Explanation: You can perform the following operations:
Delete a 3 to earn 3 points. All 2’s and 4’s are also deleted. nums = [3,3].
Delete a 3 again to earn 3 points. nums = [3].
Delete a 3 once more to earn 3 points. nums = [].
You earn a total of 9 points.
Constraints:
1 <= nums.length <= 2 * 104
1 <= nums[i] <= 104
public class Solution {
public int deleteAndEarn(int[] nums) {
int[] sum = new int[10001];
int min = 10001;
int max = 0;
for (int num : nums) {
sum[num] += num;
min = Math.min(num, min);
max = Math.max(num, max);
}
int[] dp = new int[max + 1];
dp[min] = sum[min];
for (int i = min + 1; i <= max; i++) {
dp[i] = Math.max(dp[i - 1], dp[i - 2] + sum[i]);
}
return dp[max];
}
}