Class Solution

  • All Implemented Interfaces:

    
    public final class Solution
    
                        

    1498 - Number of Subsequences That Satisfy the Given Sum Condition.

    Medium

    You are given an array of integers nums and an integer target.

    Return the number of non-empty subsequences of nums such that the sum of the minimum and maximum element on it is less or equal to target. Since the answer may be too large, return it modulo <code>10<sup>9</sup> + 7</code>.

    Example 1:

    Input: nums = 3,5,6,7, target = 9

    Output: 4

    Explanation: There are 4 subsequences that satisfy the condition.

    3 -> Min value + max value <= target (3 + 3 <= 9)

    3,5 -> (3 + 5 <= 9)

    3,5,6 -> (3 + 6 <= 9)

    3,6 -> (3 + 6 <= 9)

    Example 2:

    Input: nums = 3,3,6,8, target = 10

    Output: 6

    Explanation: There are 6 subsequences that satisfy the condition. (nums can have repeated numbers). 3 , 3 , 3,3, 3,6 , 3,6 , 3,3,6

    Example 3:

    Input: nums = 2,3,3,4,6,7, target = 12

    Output: 61

    Explanation: There are 63 non-empty subsequences, two of them do not satisfy the condition (6,7, 7). Number of valid subsequences (63 - 2 = 61).

    Constraints:

    • <code>1 <= nums.length <= 10<sup>5</sup></code>

    • <code>1 <= numsi<= 10<sup>6</sup></code>

    • <code>1 <= target <= 10<sup>6</sup></code>

    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class Description
    • Field Summary

      Fields 
      Modifier and Type Field Description
    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()
    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description
    • Method Summary

      Modifier and Type Method Description
      final Integer numSubseq(IntArray nums, Integer target)
      • Methods inherited from class java.lang.Object

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