# https://leetcode.com/problems/delete-and-earn/
"""
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:

Pick any 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
"""


from collections import defaultdict
from typing import List


def delete_and_earn(nums: List[int]):
    max_num = max(nums)
    bucket = defaultdict(int)
    for num in nums:
        bucket[num] += 1

    dp = [0] * (max_num + 1)
    dp[1] = bucket[1]
    for i in range(2, max_num + 1):
        dp[i] = max(dp[i - 1], dp[i - 2] + bucket[i] * i)
    return dp[-1]
