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?
For example, if the number of growth cycles is _n = 5,_the calculations are as follows:
Period Height 0 1 1 2 2 3 3 6 4 7 5 14
Complete the utopianTree function in the editor below. It should return the integer height of the tree after the input number of growth cycles.
utopianTree has the following parameter(s):
- n: an integer, the number of growth cycles to simulate
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.
For each test case, print the height of the Utopian Tree after n cycles. Each height must be printed on a new line.
3 0 1 4
1 2 7
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 ( n = 1, H = 2 ), then grows a meter in summer ( n = 2, H = 3 ), then doubles after the next spring ( n = 3, H = 6 ), and grows another meter after summer ( n = 4, H = 7 ). Thus, at the end of 4 cycles, its height is 7 meters.
import sys T = int(sys.stdin.readline()) for _ in range(T): N = int(sys.stdin.readline()) height = 1
for i in range(N): if i % 2 == 0: height \*= 2 else: height += 1 print(height)