Problem8996--[yosupo] Number Theory - Kth Root (Integer)

8996: [yosupo] Number Theory - Kth Root (Integer)

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

Each test case consist of $T$ cases.
Given $A, K$. Print $\textrm{floor}(a^{1/k})$.

Input

$T$
$A_0$ $K_0$
$A_1$ $K_1$
:
$A_{T-1}$ $K_{T-1}$

Output

For each line, print the answer.

Constraints

$1 \leq T \leq 500,000$
$0 \leq A < 2^{64}$
$1 \leq K \leq 64$

Sample 1 Input

10
215 3
216 3
217 3
9999999999 10
10000000000 10
10000000001 10
18446744073709551615 1
18446744073709551615 2
18446744073709551615 63
18446744073709551615 64

Sample 1 Output

5
6
6
9
10
10
18446744073709551615
4294967295
2
1

HINT

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