Delete and Earn
Problem statement
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 earnnums[i]points. Afterwards, you must delete every element equal tonums[i] - 1and every element equal tonums[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: 6Explanation: 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: 9Explanation: 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 * 1041 <= nums[i] <= 104
My solution
/**
* @param {number[]} nums
* @return {number}
*/
var deleteAndEarn = function(nums) {
const dp = Array.from({
length: Math.max(...nums) + 1
}, () => 0)
for (const num of nums) {
dp[num] += num
}
for (let i = 2; i < dp.length; i++) {
// current + n - 2, since prev will be deleted
let curr = dp[i - 2] + dp[i];
// max of prev 2 values
let prev = Math.max(dp[i -2], dp[i - 1])
dp[i] = curr;
dp[i - 1] = prev;
// console.log(dp)
}
return Math.max(dp[dp.length - 1], dp[dp.length - 2])
};