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Tuesday, 22 December 2015

Utopian Tree

Problem Statement
The Utopian Tree goes through 2 cycles of growth every year. Each spring, it doubles in height. Each summer, its height increases by 1 meter.
Laura plants a Utopian Tree sapling with a height of 1 meter at the onset of spring. How tall will her tree be after N growth cycles?
Input Format
The first line contains an integer, T, the number of test cases. 
T subsequent lines each contain an integer, N, denoting the number of cycles for that test case.
Constraints 
1≤T≤10 
0≤N≤60
Output Format
For each test case, print the height of the Utopian Tree after N cycles. Each height must be printed on a new line.
Sample Input
3
0
1
4
Sample Output
1
2
7
Explanation
There are 3 test cases.
In the first case (N=0), the initial height (H=1) of the tree remains unchanged.
In the second case (N=1), the tree doubles in height and is 2 meters tall after the spring cycle.
In the third case (N=4), the tree doubles its height in spring (H=2), then grows a meter in summer (H=3), then doubles after the next spring (H=6), and grows another meter after summer (H=7). Thus, at the end of 4 cycles, its height is 7 meters.
SOLUTION:
#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>
int display(int x);

int main() {
  int t,j,i;
  int d;
  int n;
  scanf("%d",&t);
    for(i=1;i<=t;i++)
{
scanf("%d",&n);

 d=0;
    for(j=0;j<=n;j++)
    {

if(j%2==0)
 d=d+1;
else
   d=d*2;
    }
      printf("%d\n",d);
        }
    return(0);
}
    


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