Delete and Earn

Given an arraynumsof integers, you can perform operations on the array.

In each operation, you pick anynums[i]and delete it to earnnums[i]points. After, you must deleteeveryelement equal tonums[i] - 1ornums[i] + 1.

You start with 0 points. Return the maximum number of points you can earn by applying such operations.

Example 1:

Input:
 nums = [3, 4, 2]

Output:
 6

Explanation:

Delete 4 to earn 4 points, consequently 3 is also deleted.
Then, delete 2 to earn 2 points. 6 total points are earned.

Example 2:

Input:
 nums = [2, 2, 3, 3, 3, 4]

Output:
 9

Explanation:

Delete 3 to earn 3 points, deleting both 2's and the 4.
Then, delete 3 again to earn 3 points, and 3 again to earn 3 points.
9 total points are earned.

Note:

  • The length of

    nums

    is at most

    20000

    .

  • Each element

    nums[i]

    is an integer in the range

    [1, 10000]

    .

分析

类似house rober,从前两天的得到今天,python可以同时赋值2天的。

区别是这里数字都当做点,arr的Index对应该数,里面的值是该数的总和,比如3个5,就是arr[5] = 5*3 = 15

对待每个点,和House rober的每个数字一样。也是不能取相邻的,只能取前两天较大。

class Solution:
    def deleteAndEarn(self, nums: List[int]) -> int:
        prev,cur,cnt = 0,0,collections.Counter(nums)
        for i in range(1,10003):
            prev, cur = cur, max(prev+i*cnt[i],cur)
        return cur

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