LeetCode 1553: Minimum Number of Days to Eat N Oranges Solution

Master LeetCode problem 1553 (Minimum Number of Days to Eat N Oranges), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

1553. Minimum Number of Days to Eat N Oranges

Hard

Dynamic Programming Memoization

Problem Explanation

Explanation:

To solve this problem, we can utilize a dynamic programming approach to keep track of the minimum number of days required to eat n oranges. We can iterate from n down to 1 while updating the number of days needed to eat each number of oranges based on the three possible operations: eating one orange, eating half of the oranges if divisible by 2, or eating two-thirds of the oranges if divisible by 3. We can store the results in an array and use memoization to avoid recalculating the same subproblems.

Initialize an array dp of size n+1 to store the minimum number of days required to eat i oranges.
Initialize dp[1] = 1 as it takes 1 day to eat 1 orange.
Iterate from 2 to n and for each i, update dp[i] based on the three possible operations.
The final answer will be stored in dp[n].

Time Complexity: O(nlogn)
Space Complexity: O(n)

Solution Code

class Solution {
    public int minDays(int n) {
        int[] dp = new int[n + 1];
        dp[1] = 1;
        
        for (int i = 2; i <= n; i++) {
            dp[i] = 1 + Math.min(i % 2 + dp[i / 2], i % 3 + dp[i / 3]);
        }
        
        return dp[n];
    }
}

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