






def      snake_case		(							UpperCAmelCase	:       list[list[int]],						UpperCAmelCase	:       int,						UpperCAmelCase	:       int,						UpperCAmelCase	:       list[int]   ):

				# 1. Validate that path exists between current and next vertices
				if graph[path[curr_ind - 1]][next_ver] == 0:
								return False

				# 2. Validate that next vertex is not already in path
				return not any(vertex == next_ver for vertex in path   )







def      snake_case		(							UpperCAmelCase	:       list[list[int]],						UpperCAmelCase	:       list[int],						UpperCAmelCase	:       int   ):

				# Base Case
				if curr_ind == len(UpperCAmelCase   ):
								# return whether path exists between current and starting vertices
								return graph[path[curr_ind - 1]][path[0]] == 1

				# Recursive Step
				for next_ver in range(0,						len(UpperCAmelCase   )   ):
								if valid_connection(UpperCAmelCase,						UpperCAmelCase,						UpperCAmelCase,						UpperCAmelCase   ):
												# Insert current vertex  into path as next transition
												A	 =      next_ver
												# Validate created path
												if util_hamilton_cycle(UpperCAmelCase,						UpperCAmelCase,						curr_ind + 1   ):
																return True
												# Backtrack
												A	 =      -1
				return False







def      snake_case		(							UpperCAmelCase	:       list[list[int]],						UpperCAmelCase	:       int = 0   ):
				A	 =      [-1] * (len(UpperCAmelCase   ) + 1)
				# initialize start and end of path with starting index
				A	 =      A	 =      start_index
				# evaluate and if we find answer return path either return empty array
				return path if util_hamilton_cycle(UpperCAmelCase,						UpperCAmelCase,						1   ) else []













import math







def      snake_case		(							UpperCAmelCase	:       list,						UpperCAmelCase	:       int   ):
				A	 =      len(UpperCAmelCase   )
				A	 =      int(math.floor(math.sqrt(UpperCAmelCase   )   )   )
				A	 =      0
				while arr[min(UpperCAmelCase,						UpperCAmelCase   ) - 1] < x:
								A	 =      step
								step += int(math.floor(math.sqrt(UpperCAmelCase   )   )   )
								if prev >= n:
												return -1

				while arr[prev] < x:
								A	 =      prev + 1
								if prev == min(UpperCAmelCase,						UpperCAmelCase   ):
												return -1
				if arr[prev] == x:
								return prev
				return -1


if __name__ == "__main__":
					lowerCAmelCase_           = input('Enter numbers separated by a comma:\n').strip()
					lowerCAmelCase_           = [int(item) for item in user_input.split(',')]
					lowerCAmelCase_           = int(input('Enter the number to be searched:\n'))
					lowerCAmelCase_           = jump_search(arr, x)
					if res == -1:
										print('Number not found!')
					else:
										print(f'''Number {x} is at index {res}''')





