Information is present in the screenshot and below. Based on that need help in solving the code for this problem in python. The time complexity has to be as less as possible (nlogn or n at best, no n^2). Apply divide-and-conquer algorithm in the problem. Make sure ALL test cases return expected outputs by providing output screenshots.Output FormatThe output contains one line with a single integer T_min, the minimum T needed to take out all N enemies within R rounds.If no T exists, print "A smile better suits a hero..." (without quotes)Sample Input 03 4 2 72212212Sample Output 00Sample Input 15 6 14 1283857211222Sample Output 1A smile better suits a hero...Sample Input 25 6 2 1027261221211Sample Output 23The actual code"""Solves a single test case.Parameters:n : int - number of enemiesk : int - number of attacksf : int - damage dealt by each conscious enemy each roundh : int - your max hit pointshp_i : array-like - list of shape (n,) containing the hp of each enemyd_j : array-like - list of shape (k,) containing the damage dealt by each of your attacksReturns the minimum T needed to defeat all enemies, or -1 if that is impossible."""def solve(n,k,f,h,hp_i,d_j): # TODOn,k,f,h = list(map(int,input().strip().split(" ")))hp_i = [int(input().strip()) for i in range(n)]d_j = [int(input().strip()) for i in range(k)]ans = solve(n,k,f,h,hp_i,d_j)if ans == -1: print("A smile better suits a hero...")else: print(ans) Continuing from "Shattering the Towers of Algorythmos," the tower is crumbling, and youhave to escape with the other Scions of the School of Turing. On the way out of the crumblingtower, you encounter several enchanted guards whose only goal is to turn this crumblingtower into your final resting place.You must escape the tower to take down the other Towers of Algorythmos. Each enemy has apool of hit points HP₂. You have K attacks, the ith of which deals D; damage to eachenemy. If an enemy's hit points drop to 0, they are knocked unconscious. Like before, yousimply use your first attack, then the second, and so on until you reach the last attack. Afterthis, you return to the first attack and keep following the same sequence.This time though, the enemies can attack you back. After each of your attacks, the enemiesthat are still conscious deal F damage to you. You start with H hit points. If your hit pointsdrop to 0, the enemies succeed in turning this crumbling tower into your final resting place.This is how the battle goes: you attack, then they attack. However, if it is your turn to attackand you are below I hit points, instead of attacking, you restore your hit points to H.You like to live a little dangerously. Can you determine the lowest possible T such that youcan take out all enemies and escape from the crumbling tower?Input FormatInput begins with a line containing two space-separated integers N, K, F, and H, indicatingthe number of enemies, your number of attacks, the damage dealt by each enemy, and yourstarting hit points.N lines follow, each containing a single integer HP;, the hit points of the ith enemy.K lines follow, each containing a single integer D;, the damage dealt by your jth attack.Constraints1 ≤ N, K, Dj, HP; ≤ 1051 ≤ F, H ≤ 10⁹

In this question we have to use divide-and-conquer approach to solve this problem efficiently in…

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Information is present in the screenshot and below. Based on that need help in solving the code for this problem in python. The time complexity has to be as less as possible (nlogn or n at best, no n^2). Apply divide-and-conquer algorithm in the problem. Make sure ALL test cases return expected outputs by providing output screenshots.

Output Format
The output contains one line with a single integer T_min, the minimum T needed to take out all N enemies within R rounds.

If no T exists, print "A smile better suits a hero..." (without quotes)

Sample Input 0
3 4 2 7
2
2
1
2
2
1
2

Sample Output 0
0

Sample Input 1
5 6 14 12
8
3
8
5
7
2
1
1
2
2
2

Sample Output 1
A smile better suits a hero...

Sample Input 2
5 6 2 10
2
7
2
6
1
2
2
1
2
1
1

Sample Output 2
3

The actual code

"""
Solves a single test case.

Parameters:
n : int - number of enemies
k : int - number of attacks
f : int - damage dealt by each conscious enemy each round
h : int - your max hit points
hp_i : array-like - list of shape (n,) containing the hp of each enemy
d_j : array-like - list of shape (k,) containing the damage dealt by each of
your attacks

Returns the minimum T needed to defeat all enemies, or -1 if that is impossible.
"""
def solve(n,k,f,h,hp_i,d_j):
# TODO

n,k,f,h = list(map(int,input().strip().split(" ")))
hp_i = [int(input().strip()) for i in range(n)]
d_j = [int(input().strip()) for i in range(k)]

ans = solve(n,k,f,h,hp_i,d_j)

if ans == -1:
print("A smile better suits a hero...")
else:
print(ans)

Continuing from "Shattering the Towers of Algorythmos," the tower is crumbling, and you
have to escape with the other Scions of the School of Turing. On the way out of the crumbling
tower, you encounter several enchanted guards whose only goal is to turn this crumbling
tower into your final resting place.
You must escape the tower to take down the other Towers of Algorythmos. Each enemy has a
pool of hit points HP₂. You have K attacks, the ith of which deals D; damage to each
enemy. If an enemy's hit points drop to 0, they are knocked unconscious. Like before, you
simply use your first attack, then the second, and so on until you reach the last attack. After
this, you return to the first attack and keep following the same sequence.
This time though, the enemies can attack you back. After each of your attacks, the enemies
that are still conscious deal F damage to you. You start with H hit points. If your hit points
drop to 0, the enemies succeed in turning this crumbling tower into your final resting place.
This is how the battle goes: you attack, then they attack. However, if it is your turn to attack
and you are below I hit points, instead of attacking, you restore your hit points to H.
You like to live a little dangerously. Can you determine the lowest possible T such that you
can take out all enemies and escape from the crumbling tower?
Input Format
Input begins with a line containing two space-separated integers N, K, F, and H, indicating
the number of enemies, your number of attacks, the damage dealt by each enemy, and your
starting hit points.
N lines follow, each containing a single integer HP;, the hit points of the ith enemy.
K lines follow, each containing a single integer D;, the damage dealt by your jth attack.
Constraints
1 ≤ N, K, Dj, HP; ≤ 105
1 ≤ F, H ≤ 10⁹

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