24 lines
756 B
Markdown
24 lines
756 B
Markdown
It turns out that 12 cm is the smallest length of wire
|
|
that can be bent to form an integer sided right angle triangle in exactly one way,
|
|
but there are many more examples.
|
|
|
|
~~~
|
|
12 cm: (3,4,5)
|
|
24 cm: (6,8,10)
|
|
30 cm: (5,12,13)
|
|
36 cm: (9,12,15)
|
|
40 cm: (8,15,17)
|
|
48 cm: (12,16,20)
|
|
~~~
|
|
|
|
In contrast, some lengths of wire, like 20 cm,
|
|
cannot be bent to form an integer sided right angle triangle,
|
|
and other lengths allow more than one solution to be found;
|
|
for example, using 120 cm it is possible to form exactly three different integer sided right angle triangles.
|
|
|
|
~~~
|
|
120 cm: (30,40,50), (20,48,52), (24,45,51)
|
|
~~~
|
|
|
|
Given that L is the length of the wire,
|
|
for how many values of `L <= 1,500,000` can exactly one integer sided right angle triangle be formed? |