PRINT - Prime Intervals

In this problem you have to print all primes from given interval.

Input

t - the number of test cases, then t lines follows. [t <= 150]
On each line are written two integers L and U separated by a blank. L - lower bound of interval, U - upper bound of interval. [2 <= L < U <= 2147483647] [U-L <= 1000000].

Output

For each test case output must contain all primes from interval [L; U] in increasing order.

Example

Input:

2
2 10
3 7

Output:

2
3
5
7
3
5
7

Added by:Roman Sol
Date:2005-03-28
Time limit:1.223s
Source limit:15000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:ZCon

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