在 Python 中解决回文 'Triangle Quest' 难题

Solving palindromic 'Triangle Quest' puzzle in Python

我正在尝试解决这个编程难题:

You are given a positive integer N (0 < N < 10). Your task is to print a palindromic triangle of size N.

For example, a palindromic triangle of size 5 is:

1
121
12321
1234321
123454321

You can't take more than two lines. You have to complete the code using exactly one print statement.

Note: Using anything related to strings will give a score of 0. Using more than one for-statement will give a score of 0.

我只能想到 'dumb' 方法来做到这一点:

for i in range(1, N+1):
    print([0, 1, 121, 12321, 1234321, 123454321, 12345654321, 1234567654321, 123456787654321, 12345678987654321][i])

有没有更优雅的方案?

我最终做了以下事情(感谢@raina77ow 的想法):

for i in range(1, N+1):
    print((111111111//(10**(9-i)))**2)
for i in range(1,6):
    print (((10 ** i - 1) // 9) ** 2)

这是一个 wtf one 衬垫:

f=lambda n:n and[f(n-1),print((10**n//9)**2),range(1,n+1)];f(5)

代码打高尔夫球并听取 simon 和 rain 的建议:

set(map(lambda x:print((10**x//9)**2),range(1,N+1)))
for i in range(1, N + 1):
    print(*list(range(1, i + 1)) + list(range(i - 1, 0, -1)), sep = None)

只是因为到目前为止提供的每个解决方案都涉及 range(),我觉得它在 Python 代码中被过度使用了:

from math import log10

i = 1
while (N > log10(i)): print(i**2); i = i * 10 + 1

我可以使用以下列表格式打印:

    for i in range(1,5):
        print [j for j in range(1,i+1) ], [j for j in range(i-1,0,-1) ]

结果:

[1] []
[1, 2] [1]
[1, 2, 3] [2, 1]
[1, 2, 3, 4] [3, 2, 1]
[1, 2, 3, 4, 5] [4, 3, 2, 1]
def palindrome(N):
    for i in range(1, N + 1):
        print(int('1' * i)**2)

palindrome(int(input()))
  • 1 * 1 = 1
  • 11 * 11 = 121
  • 111 * 111 = 12321
for i in range(1,int(input())+1):
   print(int((10**i-1)/9)**2)

1 -> (   10 - 1) / 9 =    1,    1 *    1 = 1
2 -> (  100 - 1) / 9 =   11,   11 *   11 = 121
3 -> ( 1000 - 1) / 9 =  111,  111 *  111 = 12321
4 -> (10000 - 1) / 9 = 1111, 1111 * 1111 = 1234321
    for i in range(2,int(raw_input())+2): 
        print ''.join(([unicode(k) for k in range(1,i)]))+""+''.join(([unicode(k) for k in range(i-2,0,-1)]))
        print ''.join(map(unicode,range(1,i)))+""+''.join(map(unicode,range(i-2,0,-1)))

希望对您有所帮助。

我认为下面的代码应该可以工作。我用了最基本的方法,让大多数人都看懂了:

  N = int(input())
  arr = []
  for i in range(1,N+1):
         arr.append(i)
         print(arr+arr[-2: :-1])

使用此代码:

prefix = ''
suffix = ''

for i in range(1,n):
    middle = str(i)
    string = prefix + middle + suffix
    print(string)

    prefix = prefix + str(i)
    suffix = ''.join(reversed(prefix)) 

for i in range(1,int(input())+1):
    print(int(str('1'*i))**2)

基本上在每次迭代中,字符串中的数字“1”乘以 i 次然后转换为整数然后平方。所以例如

第 3 次迭代 --> 输出 = 111^2 = 12321

编辑:注意到约束是用 str() 函数回答

所以我们有一个序列 1, 11, 111, 1111 nth = an + (a(r^(n-1) - 1)) / (r - 1) 其中 |r > 1|

因此,解决方案;

for i in range(1,int(input())+1):
    print(pow((((10**i - 10))//9) + 1, 2))
  for i in range(1,int(input())+1): #More than 2 lines will result in 0 score. Do not leave a blank line also
    print(''.join(list(map(lambda x:str(x),list(range(i+1))[1:]))+list(map(lambda x:str(x),list(reversed(list(range(i))[1:]))))))

这是一个简单的无字符串版本:

for i in range(1, int(input()) + 1):
    print(sum(list(map(lambda x: 10 ** x, range(i)))) ** 2)