26 lines
645 B
C++
26 lines
645 B
C++
/** A Pythagorean triplet is a set of three natural numbers, a b c, for which,
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a^2 + b^2 = c^2
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For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
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There exists exactly one Pythagorean triplet for which a + b + c = 1000.
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Find the product abc. */
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#include "0.hpp"
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int main()
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{
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const uu _max = 1000;
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uu _min = (int)((sqrt(2) - 1) * _max);
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uu root;
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uu i;
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for(i = _min; i <= _max; i++) {
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uu sqr = (i + _max) * (i + _max) - 2 * _max * _max;
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root = (int)(sqrt((double)sqr) + _eps);
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if(sqr == root * root) break;
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}
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cout << i << endl << (_max + root - i) / 2 << endl;
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cout << abs(_max - i - root) / 2 << endl;
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return 0;
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}
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