Initial data commit

Task/Josephus-problem/PowerShell/josephus-problem-1.psh

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+function Get-JosephusPrisoners ( [int]$N, [int]$K )
+    {
+    #  Just for convenience
+    $End = $N - 1
+
+    #  Create circle of prisoners
+    $Prisoners = New-Object System.Collections.ArrayList ( , (0..$End) )
+
+    #  For each starting point of the reducing circle...
+    ForEach ( $Start in 0..($End - 1) )
+        {
+        #  We subtract one from K for the one we advanced by incrementing $Start
+        #  Then take K modulus the length of the remaining circle
+        $RoundK = ( $K - 1 ) % ( $End - $Start + 1 )
+
+        #  Rotate the remaining prisoners K places around the remaining circle
+        $Prisoners.SetRange( $Start, $Prisoners[ $Start..$End ][ ( $RoundK + $Start - $End - 1 )..( $RoundK - 1 ) ] )
+        }
+    return $Prisoners
+    }

Task/Josephus-problem/PowerShell/josephus-problem-2.psh

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+#  Get the prisoner order for a circle of 41 prisoners, selecting every third
+$Prisoners = Get-JosephusPrisoners -N 41 -K 3
+
+#  Display the prisoner order
+$Prisoners -join " "
+
+#  Display the last remaining prisoner
+"Last prisoner remmaining: " + $Prisoners[-1]
+
+#  Display the last three remaining prisoners
+$S = 3
+"Last $S remaining: " + $Prisoners[-$S..-1]