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| BigInteger sqrt(BigInteger n) { | |
| BigInteger a = BigInteger.ONE; | |
| BigInteger b = n.shiftRight(5).add(BigInteger.valueOf(8)); | |
| while (b.compareTo(a) >= 0) { | |
| BigInteger mid = a.add(b).shiftRight(1); | |
| if (mid.multiply(mid).compareTo(n) > 0) { | |
| b = mid.subtract(BigInteger.ONE); | |
| } else { | |
| a = mid.add(BigInteger.ONE); | |
| } | |
| } | |
| return a.subtract(BigInteger.ONE); | |
| } |
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