Calculate Money in Leetcode Bank - Maths - Easy - LeetCode
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Calculate Money in Leetcode Bank - Maths - Easy - LeetCode

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  • 1Hercy saves money daily, starting with $1 on the first day and increasing by $1 each subsequent day.
  • 2The total amount in the Leetcode bank after n days is calculated based on a weekly pattern of deposits.
  • 3The provided solution efficiently computes the total using a formula with O(1) time and space complexity.

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"Hercy saves money daily, starting with $1 on the first day and increasing by $1 each subsequent day."

Calculate Money in Leetcode Bank - Maths - Easy - LeetCode

Hercy wants to save money for his first car. He puts money in the Leetcode bank every day.

He starts by putting in $1 on Monday, the first day. Every day from Tuesday to Sunday, he will put in $1 more than the day before. On every subsequent Monday, he will put in $1 more than the previous Monday. Given n, return the total amount of money he will have in the Leetcode bank at the end of the nth day.

Example 1:

Input: n = 4 Output: 10 Explanation: After the 4th day, the total is 1 + 2 + 3 + 4 = 10. Example 2:

Input: n = 10 Output: 37 Explanation: After the 10th day, the total is (1 + 2 + 3 + 4 + 5 + 6 + 7) + (2 + 3 + 4) = 37. Notice that on the 2nd Monday, Hercy only puts in $2. Example 3:

Input: n = 20 Output: 96 Explanation: After the 20th day, the total is (1 + 2 + 3 + 4 + 5 + 6 + 7) + (2 + 3 + 4 + 5 + 6 + 7 + 8) + (3 + 4 + 5 + 6 + 7 + 8) = 96.

Constraints:

1 <= n <= 1000

public class Solution {
 public int TotalMoney(int n) {
 int extra = n%7;
 int weeks = n/7;
 int sum = 28 * weeks + 7 * (weeks)*(weeks-1)/2 + weeks*extra + (extra)*(extra+1)/2;
 return sum;
 }
}

Time Complexity: O(1)

Space Complexity: O(1)

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sumitc91

Published on 10 January 2021 · 1 min read · 258 words

Part of AskGif Blog · coding

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