Master Leet code : LeetCode 799 - Champagne Tower

We've all faced challenges that seemed impossible to overcome. Life is a bit like a tower of champagne glasses; sometimes, it feels like one wrong move will send everything crashing down. Today, we're diving into a LeetCode problem that's a little like that tower – complex, but with the right approach, it's entirely solvable. So, grab your thinking caps and join us as we uncover the mysteries of LeetCode 799, also known as the Champagne Tower.

The Challenge: Champagne Tower Unleashed

LeetCode 799, aptly named the Champagne Tower is a medium-level problem that requires a bit of brainpower to crack. The scenario goes like this: there are stacked champagne glasses in the shape of a pyramid. Each glass can hold a certain amount of champagne. When champagne is poured into the top glass, it flows equally to the glasses below. However, if a glass is full, any excess champagne will spill equally to the left and right. The challenge? Determine how much champagne will be poured into each glass and figure out if a particular glass is full or not.

How to Approach LeetCode 799 - Champagne Tower

The Champagne Tower problem might seem daunting at first, but we can break it down into smaller, more manageable steps. To tackle it successfully, we'll use a bottom-up approach – just like building a pyramid, but in reverse.
Imagine starting at the bottom row of the pyramid, where the glasses are filled up. We'll calculate how much champagne each glass can hold and how much is poured into it. As we move up one row, we'll distribute the excess champagne to the two adjacent glasses, just as the problem description states. By the time we reach the top row, we'll have our answer.

Let's Dive into an Example

Suppose we have a tower with three rows of glasses:
1
1 1
1 2 1

And we want to pour 8 units of champagne into the top glass. How do we solve this?

1. Start at the bottom row, which is already filled. The two glasses on the bottom row can each hold 1 unit, and any excess spills equally to the two adjacent glasses.
2. Moving up to the second row, the middle glass now has 1 unit of champagne and can hold 2 units. The excess 1 unit is evenly distributed to the glasses on its sides.
3. Finally, at the top row, the center glass has 1 unit of champagne, but it can only hold 1 unit, so any excess is spilled. Following this logic, we find that the center glass of the top row is not full, meaning it can only hold 1 unit.

In Conclusion

LeetCode 799, the Champagne Tower, is a great exercise in problem-solving. By breaking it down step by step and utilizing a bottom-up approach, we can solve the puzzle and determine how much champagne each glass contains and whether a specific glass is full. The key is to manage the overflow properly, ensuring no glass is overfilled.
So, next time you face a challenging problem, whether it's on LeetCode or in life, remember the Champagne Tower. With the right approach and a little bit of creativity, you can overcome any obstacle, even if it initially seems as delicate as a tower of champagne glasses. Cheers to success!
Have you tried solving LeetCode 799 Champagne Tower? Share your experiences and insights with us in the comments below!