We define a Partial Pythagorean Triangle (PPT) as a right triangle wherein the hypotenuse and at least one leg are integers. Thus, the triples 
and 
represent a PPT, while 
, 
and 
do not.
and represent a PPT, while , and do not.Given the limit P, find the area of the PPT with perimeter 
, such that the ratio of the areas of the triangle's circumcircle to its incircle, 
, is as small as possible.
, such that the ratio of the areas of the triangle's circumcircle to its incircle, , is as small as possible.
Please present the answer rounded-off to the nearest integer.
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Easy Sequences 107: Minimized Circumcircle-Incircle Areas Ratio of Partial Pythagorean Triangles
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Several tests are wrong (verified using symbolic numbers). Test 6 should be 970225, Test 8 should be 96049800, Test 9 should be 559819260, Test 10 should be 38034750625, and a suspect higher tests might also be incorrect. These results are consistent with what I expected by review of Lucas and Pell numbers.