# Third way to find pairs for given sum

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There’s a third way to find pairs for given sum that’s a bit more complicated.

function get-pairs2 {

[CmdletBinding()]

param (

[int[]]$iarray,

[int]$value

)

$sarray = $iarray | Sort-Object

Write-Information -MessageData “Array: $iarray” -InformationAction Continue

Write-Information -MessageData “Sorted Array: $sarray” -InformationAction Continue

Write-Information -MessageData “Sum: $value” -InformationAction Continue

$left = 0

$right = $sarray.Count – 1

while ($left -lt $right){

Write-Verbose -Message “left = $left right =$right”

$sum = $sarray[$left] + $sarray[$right]

if ($sum -eq $value){

Write-Information -MessageData “Pair to give sum: ($($sarray[$left]), $($sarray[$right]))” -InformationAction Continue

$left += 1

$right -= 1

}

elseif ($sum -lt $value) {

$left += 1

}

elseif ($sum -gt $value){

$right -= 1

}

}

}

In this technique start by sorting the array. I’ve sorted it ascending which is the default.

Set the initial counters to the start and end of the sorted array. Use the while loop to work through the array. Sum the array elements and test if the sum equals the required value – if it does print the results and increment the left counter and decrement the low counter (move them closer together).

If the sum is less than the required value increment the left counter and if its more decrement the right counter.

Eventually the counters will meet, the right counter will be greater than the left counter and the loop will finish.

This technique takes a bit of thinking about so this is a run with the counter values printed

PS> get-pairs2 -iarray $iarray -value 7 -Verbose

Array: 1 8 3 -3 6 4 9 5 10 2

Sorted Array: -3 1 2 3 4 5 6 8 9 10

Sum: 7

VERBOSE: left = 0 right =9

Pair to give sum: (-3, 10)

VERBOSE: left = 1 right =8

VERBOSE: left = 1 right =7

VERBOSE: left = 1 right =6

Pair to give sum: (1, 6)

VERBOSE: left = 2 right =5

Pair to give sum: (2, 5)

VERBOSE: left = 3 right =4

Pair to give sum: (3, 4)

Next time we’ll start to look at some string handling techniques

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