#P955C. Sad powers
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ID: 4196
Type: RemoteJudge
2000ms
256MiB
Tried: 0
Accepted: 0
Difficulty: (None)
Uploaded By:
Hydro
Tags> Sad powers
No submission language available for this problem.
Description
You're given Q queries of the form (L, R).
For each query you have to find the number of such x that L ≤ x ≤ R and there exist integer numbers a > 0, p > 1 such that x = ap.
The first line contains the number of queries Q (1 ≤ Q ≤ 105).
The next Q lines contains two integers L, R each (1 ≤ L ≤ R ≤ 1018).
Output Q lines — the answers to the queries.
Input
The first line contains the number of queries Q (1 ≤ Q ≤ 105).
The next Q lines contains two integers L, R each (1 ≤ L ≤ R ≤ 1018).
Output
Output Q lines — the answers to the queries.
Samples
6
1 4
9 9
5 7
12 29
137 591
1 1000000
2
1
0
3
17
1111
Note
In query one the suitable numbers are 1 and 4.