Package g1901_2000.s1955_count_number_of_special_subsequences

Class Solution

java.lang.Object
g1901_2000.s1955_count_number_of_special_subsequences.Solution
public class Solution extends java.lang.Object
1955 - Count Number of Special Subsequences.

Hard

A sequence is special if it consists of a positive number of 0s, followed by a positive number of 1s, then a positive number of 2s.

  • For example, [0,1,2] and [0,0,1,1,1,2] are special.
  • In contrast, [2,1,0], [1], and [0,1,2,0] are not special.

Given an array nums (consisting of only integers 0, 1, and 2), return the number of different subsequences that are special. Since the answer may be very large, return it modulo 109 + 7.

A subsequence of an array is a sequence that can be derived from the array by deleting some or no elements without changing the order of the remaining elements. Two subsequences are different if the set of indices chosen are different.

Example 1:

Input: nums = [0,1,2,2]

Output: 3

Explanation: The special subsequences are bolded [0 , 1 , 2 ,2], [0 , 1 ,2, 2 ], and [0 , 1 , 2 , 2 ].

Example 2:

Input: nums = [2,2,0,0]

Output: 0

Explanation: There are no special subsequences in [2,2,0,0].

Example 3:

Input: nums = [0,1,2,0,1,2]

Output: 7

Explanation: The special subsequences are bolded:

  • [0 , 1 , 2 ,0,1,2]

  • [0 , 1 ,2,0,1, 2 ]

  • [0 , 1 , 2 ,0,1, 2 ]

  • [0 , 1 ,2,0, 1 , 2 ]

  • [0 ,1,2, 0 , 1 , 2 ]

  • [0 ,1,2,0, 1 , 2 ]

  • [0,1,2, 0 , 1 , 2 ]

Constraints:

  • 1 <= nums.length <= 105
  • 0 <= nums[i] <= 2

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    countSpecialSubsequences(int[] nums)
     

    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

    • countSpecialSubsequences

      public int countSpecialSubsequences(int[] nums)