Consider a stack of N number of cards which are piled up and in facing down. Each card has a unique number from the range 1 to N. The card is stacked in such a way that it exhibits the following behavior: Take the first card and put it under the stack without revealing. Now the next card on the top will have the number 1 on it. Next take 2 cards one after the other and put is under the stack without revealing. Yes you guessed it right - the next card on the top will reveal a value of 2. This goes on. Eg. for such a series : 9,1,8,5,2,4,7,6,3,10 [for N=10] Write a program to generate such a series for a given N number of cards so that this behavior can be exercised. 8 AnswersPossible implementation in C++ -------------------------------------------------- int CounterStep(int counter,int N); int LocatePosition(int *cards,int N, int startPointer,int value); using namespace std; void main() { int cards[20]; int N=20; int POS = 0,TOP = 0; // Initializing everything to zero for(int i=0;i Written in Python although it can be re-written in C/C++ if required. def generateSpecialSeries(numberOfCards): specialSeries = [] if numberOfCards > 0: for i in range(numberOfCards, 0, -1): specialSeries.append(i) currentSpecialElement = 1 currentIndex = 1 while currentIndex < numberOfCards: indexOfCurrentSpecialElement = numberOfCards - currentSpecialElement specialSeries[currentIndex], specialSeries[indexOfCurrentSpecialElement] = specialSeries[indexOfCurrentSpecialElement], specialSeries[currentIndex] currentSpecialElement += 1 currentIndex += currentSpecialElement + 1 return specialSeries specialSeries = generateSpecialSeries(50) print specialSeries specialElement = 1 specialElementSum = 1 currentIndex = 1 while currentIndex < 50: print specialSeries[currentIndex] == specialElement specialElement += 1 specialElementSum += specialElement currentIndex += specialElement + 1 // Short and simple C++ algorithm #define N 10 void compute(int stack[]) // Make sure N elements are allocated { int j=0; for(int i=0; i Show more responses #include using namespace std; int main(int argc,char **argv){ int count=20; int array[20]; for(int i=0;i>a; return 0; } Java implementation public class App { public static void main(String[] args) { String arr[] = new String[10]; int pointer = 0; for (int valueToPlace = 1; valueToPlace <= arr.length; valueToPlace++) { for (int x = 1; x <= valueToPlace; x++) { if (pointer == arr.length - 1) pointer = 0; else pointer++; if (arr[pointer] != null) x--; } System.out.println("Placing " + valueToPlace + " at index " + pointer); arr[pointer] = valueToPlace + ""; while (arr[pointer] != null && valueToPlace != arr.length) { if (pointer == arr.length - 1) pointer = 0; else pointer++; } } for (String str : arr) { System.out.print(str + ", "); } } } The algorithm used is: For each number n (ranging from 1 to 10), we have to skip n places in the array. And then put number n at that position. The catch in the program is that we can skip only, not occupied places (the array places where value is 0 by default). Also, when we reach the end of the array, we have to move back to beginning of array (similar to cards being kept at the bottom of the pile of cards.) Here, a variable 'pos' is used to store the final position of any element. Initially, pos is at 0. The skip() takes the array, the current value of pos and the number of skips to be made. For example, for n=1, the values passed to skip() would be: pos=0, n=1. This means that we have to skip 1 place starting from index 0. Similarly, for n=2, pos=1. This means we have to skip 2 places starting from index 1. Java Implementation: public class StackOfCards { /** * @param args */ public static void main(String[] args) { // TODO Auto-generated method stub int[] arr = new int[10]; int pos=0; for(int n=1;n0){ if(arr[pos]==0){ //reduce the number of skips to be made n--; } pos++; //if end of array is reached, take pos back to beginning if(pos==10){ pos=0; } } // keep incrementing pos until a not occupied index is reached. while(arr[pos]!=0){ pos++; } return pos; } } Here is C# Code... namespace ConsoleApplication1 { class Program { static void Main(string[] args) { int n = 36; int[] series = new int[n]; int LargestNumber = n; int SmallestNumber = 1, temp = 1, i; bool putLargeNumber = true; for (i= 0; i 0)) { series[i] = LargestNumber; Console.Write("{0} ", series[i]); LargestNumber = LargestNumber - 1; putLargeNumber = false; temp--; } else { series[i] = SmallestNumber; Console.Write("{0} ", series[i]); SmallestNumber += 1; putLargeNumber = true; temp = SmallestNumber; } } } } } import java.util.HashMap; import java.util.HashSet; import java.util.Scanner; import java.util.Stack; public class MSQuestion1 { static int counter =1; public static void main(String[] args) { // TODO Auto-generated method stub Scanner in = new Scanner(System.in); int n =in.nextInt(); // x 1 x1 x2 2 x3 x4 x5 3 x6 int[] arr = new int[n]; int f = 0; while(f0)) { arr[f]=counter; counter++; } f++; } for(int i=0;i |