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SRM · Problem 17781

Sum21

Problem statement, definition, constraints, and public examples.

Problem Statement

You are given a list of integers in int[] x. We wish to select two integers from the list that add up to 21. Return the number of ways we can do this.

Definition

Class:
Sum21
Method:
countWays
Parameters:
int[]
Returns:
int
Method signature:
int countWays(int[] x)
(be sure your method is public)

Notes

  • In the case of duplicate integers appearing in the list, each one may be used separately (see example #2).

Constraints

  • x will contain between 1 and 50 elements, inclusive.
  • Each element of x will be between 1 and 20, inclusive.

Examples

  1. { 1, 20 }
    Returns: 1
    This is the simplest case, where the only thing to do is take both elements, which thus add up to 21.
  2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 }
    Returns: 0
    There's a lot of choices, but no pair will add up to 21.
  3. { 10, 10, 11, 11 }
    Returns: 4
    There's a total of four ways to select a pair that adds to 21.
  4. { 8 }
    Returns: 0
    There's no way to even select a pair of numbers when there's only one in the list.
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