Leetcode: Knight Dialer

Identity number which appears exactly once.



Similar Problems:


A chess knight can move as indicated in the chess diagram below:

Leetcode: All Nodes Distance K in Binary Tree

Leetcode: All Nodes Distance K in Binary Tree

This time, we place our chess knight on any numbered key of a phone pad (indicated above), and the knight makes N-1 hops. Each hop must be from one key to another numbered key.

Each time it lands on a key (including the initial placement of the knight), it presses the number of that key, pressing N digits total.

How many distinct numbers can you dial in this manner?

Since the answer may be large, output the answer modulo 10^9 + 7.

Example 1:

Input: 1
Output: 10

Example 2:

Input: 2
Output: 20

Example 3:

Input: 3
Output: 46

Note:

  • 1 <= N <= 5000

Github: code.dennyzhang.com

Credits To: leetcode.com

Leave me comments, if you have better ways to solve.


  • Solution: XXX

General Thinkings:


Key Observations:


Walk Through Testdata


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