Package g0301_0400.s0375_guess_number_higher_or_lower_ii

Class Solution

java.lang.Object
g0301_0400.s0375_guess_number_higher_or_lower_ii.Solution
public class Solution extends Object
375 - Guess Number Higher or Lower II.<p>Medium</p> <p>We are playing the Guessing Game. The game will work as follows:</p> <ol> <li>I pick a number between <code>1</code> and <code>n</code>.</li> <li>You guess a number.</li> <li>If you guess the right number, <strong>you win the game</strong>.</li> <li>If you guess the wrong number, then I will tell you whether the number I picked is <strong>higher or lower</strong> , and you will continue guessing.</li> <li>Every time you guess a wrong number <code>x</code>, you will pay <code>x</code> dollars. If you run out of money, <strong>you lose the game</strong>.</li> </ol> <p>Given a particular <code>n</code>, return <em>the minimum amount of money you need to <strong>guarantee a win regardless of what number I pick</strong></em>.</p> <p><strong>Example 1:</strong></p> <p><img src="https://assets.leetcode.com/uploads/2020/09/10/graph.png" alt="" /></p> <p><strong>Input:</strong> n = 10</p> <p><strong>Output:</strong> 16</p> <p><strong>Explanation:</strong></p> <pre><code> The winning strategy is as follows: - The range is [1,10]. Guess 7. - If this is my number, your total is $0. Otherwise, you pay $7. - If my number is higher, the range is [8,10]. Guess 9. - If this is my number, your total is $7. Otherwise, you pay $9. - If my number is higher, it must be 10. Guess 10. Your total is $7 + $9 = $16. - If my number is lower, it must be 8. Guess 8. Your total is $7 + $9 = $16. - If my number is lower, the range is [1,6]. Guess 3. - If this is my number, your total is $7. Otherwise, you pay $3. - If my number is higher, the range is [4,6]. Guess 5. - If this is my number, your total is $7 + $3 = $10. Otherwise, you pay $5. - If my number is higher, it must be 6. Guess 6. Your total is $7 + $3 + $5 = $15. - If my number is lower, it must be 4. Guess 4. Your total is $7 + $3 + $5 = $15. - If my number is lower, the range is [1,2]. Guess 1. - If this is my number, your total is $7 + $3 = $10. Otherwise, you pay $1. - If my number is higher, it must be 2. Guess 2. Your total is $7 + $3 + $1 = $11. The worst case in all these scenarios is that you pay $16. Hence, you only need $16 to guarantee a win. </code></pre> <p><strong>Example 2:</strong></p> <p><strong>Input:</strong> n = 1</p> <p><strong>Output:</strong> 0</p> <p><strong>Explanation:</strong> There is only one possible number, so you can guess 1 and not have to pay anything.</p> <p><strong>Example 3:</strong></p> <p><strong>Input:</strong> n = 2</p> <p><strong>Output:</strong> 1</p> <p><strong>Explanation:</strong></p> <pre><code> There are two possible numbers, 1 and 2. - Guess 1. - If this is my number, your total is $0. Otherwise, you pay $1. - If my number is higher, it must be 2. Guess 2. Your total is $1. The worst case is that you pay $1. </code></pre> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= n <= 200</code></li> </ul>

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • getMoneyAmount

      public int getMoneyAmount(int n)