Finding the only Pythagorean triplet, {a, b, c}, for which a + b + c = 1000.

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for i in range(1000):
    for j in range(1000):
        for k in range(1000):
	    if ((i + j + k == 1000) and (i*i + j*j == k*k)
 and (i < j) and (i < k) and (j < k)):
	        print i, j, k, i * j * k
		break

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