Лимит времени 2000/4000/4000/4000 мс. Лимит памяти 65000/65000/65000/65000 Кб.
By Arban Uka.
Number Quadruplets
Assume that we have the following relation:
a2 + b2 + c2 =
d2
Question:
Find the number of unique quadruplets
of (a, b, c, d) that satisfy the
above relation for the given d.
Note: the following three
quadruplets are assumed to be the same. Thus,
you count only one.
12+22+22 = 32
22+12+22 = 32
22+22+12 = 32
Input specification
You will be given just one integer d where
1 ≤ d ≤ 100) and 1 ≤ (a,b,c) ≤ d.
Output specification
Show the number of unique quadruplets.
| Sample Input I |
Sample Input II |
10
|
20
|
| Sample Output I |
Sample Output II |
6
|
22
|
Explanation
There are six unique number quadruplets until ten.
- 12 + 22 + 22 = 32
- 22 + 42 + 42 = 62
- 22 + 32 + 62 = 72
- 12 + 42 + 82 = 92
- 32 + 62 + 62 = 92
- 42 + 42 + 72 = 92
Для отправки решений необходимо выполнить вход.
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