RRootCairn
Product

Product features · Exact integer square roots

01

Test zero, adjacent perfect squares and a very large integer, rejecting negative, fractional and Boolean inputs.

01

Connection

Base URL, credentials and a reachable server.

02

Selection

A model available through the configured endpoint.

03

Capabilities

Context limits and tool support are determined by the model and server.

Exact integer square roots

● ● ●RootCairn●
A concrete starting point · Exact integer square roots ×
def integer_root(n):
    if type(n) is not int or n < 0:
        raise ValueError("root.input")
    lo, hi = 0, 1 << ((n.bit_length() + 1) // 2)
    while lo < hi:
        mid = (lo + hi + 1) // 2
        if mid * mid <= n:
            lo = mid
        else:
            hi = mid - 1
    return lo
✳Exact integer square roots
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