Package g1401_1500.s1444_number_of_ways_of_cutting_a_pizza

Class Solution

java.lang.Object
g1401_1500.s1444_number_of_ways_of_cutting_a_pizza.Solution
public class Solution extends java.lang.Object
1444 - Number of Ways of Cutting a Pizza.

Hard

Given a rectangular pizza represented as a rows x cols matrix containing the following characters: 'A' (an apple) and '.' (empty cell) and given the integer k. You have to cut the pizza into k pieces using k-1 cuts.

For each cut you choose the direction: vertical or horizontal, then you choose a cut position at the cell boundary and cut the pizza into two pieces. If you cut the pizza vertically, give the left part of the pizza to a person. If you cut the pizza horizontally, give the upper part of the pizza to a person. Give the last piece of pizza to the last person.

_Return the number of ways of cutting the pizza such that each piece contains at least one apple. _Since the answer can be a huge number, return this modulo 10^9 + 7.

Example 1:

Input: pizza = [“A..”,“AAA”,“…”], k = 3

Output: 3

Explanation: The figure above shows the three ways to cut the pizza. Note that pieces must contain at least one apple.

Example 2:

Input: pizza = [“A..”,“AA.”,“…”], k = 3

Output: 1

Example 3:

Input: pizza = [“A..”,“A..”,“…”], k = 1

Output: 1

Constraints:

  • 1 <= rows, cols <= 50
  • rows == pizza.length
  • cols == pizza[i].length
  • 1 <= k <= 10
  • pizza consists of characters 'A' and '.' only.

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    ways(java.lang.String[] pizza, int k)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • ways

      public int ways(java.lang.String[] pizza, int k)