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Write the python3 code using given sample code Hasan has a new tree puzzle as a birthday present. The puzzle contains N nodes numbered from 1 to N. Hasan has to build a tree using these nodes while following the rules given below. . Number 1 is the root of the tree Hasan adds nodes 2 to N one by one, when adding node number x he chooses an already-added node and connects nodex to it such that the following rules hold: 1. If the previous node was added to node number y then node x must be added to a node with a number of at leasty. 2. The depth of the newly added nodex must be at least the maximum depth of already added nodes. 3. The tree should have at most k nodes at the same depth. Hasan wants you to help him find the maximum number of different trees he can construct. Since the answer can be very large return it modulo 1049+7. Note: . It is given that two trees are different If the parent of at least one node in the first tree differs from its parent in the second one. Input Format The first line contains an integer, N, denoting the number of nodes. The next line contains an Integer, K, denoting the maximum number of nodes in the same depth. Constraints 1 2->31/123 5 1 Since Kis 1 the only possible tree is a chain: 1->2->3- >4.5 2 There are 4 different trees, one of them has the following shape: 1/12314 Select language Python 3 1 def NumberOfWays(N, K): 2 # Write your code here 3 4 5 6 def main(): 7 N = int(input().strip()) 8 9 K = int(input().strip()) 10 11 result = NumberOfWays (N, K) 12 13 print(result) 14 15 _main_": 16 if _name 17 main()