Imagine you have a special keyboard with the following keys:
Key 1: (A)
: Print one 'A' on screen.Key 2: (Ctrl-A)
: Select the whole screen.Key 3: (Ctrl-C)
: Copy selection to buffer.Key 4: (Ctrl-V)
: Print buffer on screen appending it after what has already been printed.
Now, you can only press the keyboard for N times (with the above four keys), find out the maximum numbers of 'A' you can print on screen.
Example 1:
Input: N = 3 Output: 3 Explanation: We can at most get 3 A's on screen by pressing following key sequence: A, A, A
Example 2:
Input: N = 7 Output: 9 Explanation: We can at most get 9 A's on screen by pressing following key sequence: A, A, A, Ctrl A, Ctrl C, Ctrl V, Ctrl V
Note:
- 1 <= N <= 50
- Answers will be in the range of 32-bit signed integer.
class Solution { public int maxA(int N) { int[] dp = new int[N + 1]; dp[1] = 1; for (int i = 2; i <= N; i++) { for (int j = 1; j < i - 2; j++) { dp[i] = Math.max(dp[i], dp[j] * (i - j - 1)); } dp[i] = Math.max(dp[i], dp[i - 1] + 1); } return dp[N]; } }
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