Euler problems/171 to 180

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Problem 171

Finding numbers for which the sum of the squares of the digits is a square.


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Problem 172

Investigating numbers with few repeated digits.


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Problem 173

Using up to one million tiles how many different "hollow" square laminae can be formed? Solution:

    let c=div (10^6) 4
        xm=floor$sqrt $fromIntegral c
        k=[div c x|x<-[1..xm]]
    in  sum k-(div (xm*(xm+1)) 2)

Problem 174

Counting the number of "hollow" square laminae that can form one, two, three, ... distinct arrangements.


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Problem 175

Fractions involving the number of different ways a number can be expressed as a sum of powers of 2. Solution:

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Problem 176

Rectangular triangles that share a cathetus. Solution:

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Problem 177

Integer angled Quadrilaterals.


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Problem 178

Step Numbers Solution:

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Problem 179

Consecutive positive divisors. Solution:

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Problem 180


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