The Second Pretty Easy Number Game

Number Theory Level pending

Pretty easy... How many 4-digit numbers satisfy:

a b c d ‾ = a 4 + b 4 + c 4 + d 4 \overline { abcd } ={ a }^{ 4 }+{ b }^{ 4 }+{ c }^{ 4 }+{ d }^{ 4 }

This is one of my problems in Game Of Numbers.


The answer is 3.

Đức Huy Là Ta by Đức Huy Là Ta , 21, Vietnam

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1 solution 

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def digits(n, func):
    if n < 10:
        return func(n)
    else:
        return func(n%10) + digits(n//10, func)

for i in range(10**3, 10**4):
    if i == digits(i, lambda x: x**4):
        print(i)

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