Write a program to find all numbers between 'a' and 'b' (both included) such that each digit of the number is an even number, and print the results. Input There are two non-negative integers in one line: a and b Output Directly print the list
时间: 2024-01-12 08:02:35 浏览: 97
Sure, here's a Python program that will solve the problem:
```python
a, b = map(int, input().split())
# Define a function to check if a number has all even digits
def all_even_digits(n):
while n > 0:
if (n % 10) % 2 != 0:
return False
n //= 10
return True
# Loop through all numbers between a and b, check if they have all even digits, and print them if they do
for i in range(a, b+1):
if all_even_digits(i):
print(i)
```
To use this program, simply input the values of 'a' and 'b' on the first line, separated by a space. The program will then output a list of all numbers between 'a' and 'b' (inclusive) that have all even digits.
相关问题
friend of you is doing research on the Traveling Knight Problem (TKP) where you are to find the shortest closed tour of knight moves that visits each square of a given set of n squares on a chessboard exactly once. He thinks that the most difficult part of the problem is determining the smallest number of knight moves between two given squares and that, once you have accomplished this, finding the tour would be easy. Of course you know that it is vice versa. So you offer him to write a program that solves the "difficult" part. Your job is to write a program that takes two squares a and b as input and then determines the number of knight moves on a shortest route from a to b. Input Specification The input file will contain one or more test cases. Each test case consists of one line containing two squares separated by one space. A square is a string consisting of a letter (a-h) representing the column and a digit (1-8) representing the row on the chessboard. Output Specification For each test case, print one line saying "To get from xx to yy takes n knight moves.".
Sure, I can write a program that solves the "difficult" part of the TKP. Here's an implementation in Python:
```python
# Define a function to convert a square string to a tuple of coordinates
def square_to_coords(square):
col = ord(square[0]) - ord('a')
row = int(square[1]) - 1
return (col, row)
# Define a function to convert a tuple of coordinates to a square string
def coords_to_square(coords):
col = chr(coords[0] + ord('a'))
row = str(coords[1] + 1)
return col + row
# Define a function to find the shortest path between two squares using BFS
def shortest_path(start, end):
# Convert start and end squares to coordinates
start_coords = square_to_coords(start)
end_coords = square_to_coords(end)
# Define the possible knight moves
moves = [(-2,-1), (-1,-2), (1,-2), (2,-1), (2,1), (1,2), (-1,2), (-2,1)]
# Initialize the queue with the starting position and a distance of 0
queue = [(start_coords, 0)]
# Initialize a set to keep track of visited positions
visited = set([start_coords])
# Loop until the queue is empty
while queue:
# Dequeue the next position and distance
position, distance = queue.pop(0)
# Check if we have reached the end position
if position == end_coords:
return distance
# Generate all possible moves from the current position
for move in moves:
new_pos = (position[0] + move[0], position[1] + move[1])
# Check if the new position is within the bounds of the chessboard
if new_pos[0] < 0 or new_pos[0] > 7 or new_pos[1] < 0 or new_pos[1] > 7:
continue
# Check if the new position has already been visited
if new_pos in visited:
continue
# Add the new position to the queue and mark it as visited
queue.append((new_pos, distance + 1))
visited.add(new_pos)
# If we reach this point, there is no path from start to end
return -1
# Read input from file
with open('input.txt', 'r') as f:
for line in f:
# Parse the input
start, end = line.strip().split()
# Find the shortest path and print the result
distance = shortest_path(start, end)
print("To get from {} to {} takes {} knight moves.".format(start, end, distance))
```
This program reads input from a file called 'input.txt' and prints the shortest path between each pair of squares using the BFS algorithm. Each line of the input file should contain two squares separated by a space. The output is in the format "To get from xx to yy takes n knight moves.".
(Telephone Number Word Generator) Standard telephone keypads contain the digits 0 through 9. The numbers 2 through 9 each have three letters associated with them, as is indicated by the following table: Many people find it difficult to memorize phone numbers, so they use the correspondence between digits and letters to develop seven-letter words that correspond to their phone numbers. For example, a person whose telephone number is 686-2377 might use the correspondence indi- cated in the above table to develop the seven-letter word “NUMBERS.” Businesses frequently attempt to get telephone numbers that are easy for their clients to remember. If a business can advertise a simple word for its customers to dial, then no doubt the business will receive a few more calls. Each seven-letter word corresponds to exactly one seven-digit telephone number. The restaurant wishing to increase its take-home business could surely do so with the number 825-3688 (i.e., “TAKEOUT”). Each seven-digit phone number corresponds to many separate seven-letter words. Unfortunately, most of these represent unrecognizable juxtaposi- tions of letters. It’s possible, however, that the owner of a barber shop would be pleased to know that the shop’s telephone number, 424-7288, corresponds to “HAIRCUT.” A veterinarian with the phone number 738-2273 would be happy to know that the number corresponds to “PETCARE.” Write a program that, given a seven-digit number, writes to a file every possible seven-letter word corresponding to that number. There are 2187 (3 to the seventh power) such words. Avoid phone numbers with the digits 0 and 1.
Sure, I can help you with that! Here's a Python program to generate all possible seven-letter words corresponding to a given seven-digit phone number:
```python
import itertools
# mapping of digits to letters
digit_to_letter = {
'2': 'ABC', '3': 'DEF', '4': 'GHI', '5': 'JKL',
'6': 'MNO', '7': 'PQRS', '8': 'TUV', '9': 'WXYZ'
}
# function to generate all possible words for a given phone number
def generate_words(phone_number):
# filter out 0's and 1's from phone number
digits = [d for d in phone_number if d not in '01']
# generate all possible combinations of letters for each digit
letters = [digit_to_letter[d] for d in digits]
# generate all possible combinations of letters
word_combinations = itertools.product(*letters)
# write all combinations to file
with open('word_list.txt', 'w') as f:
for word in word_combinations:
f.write(''.join(word) + '\n')
# example usage
generate_words('7382273')
```
This program generates all 2187 possible words for the phone number '7382273' and writes them to a file called 'word_list.txt'. You can replace the phone number with any other seven-digit phone number to generate words for that number.
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