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