indivisibility

Problem Description

You have an array of Q integers.

Dae Koon sees your array of integers and wonders, for each integer in the array Ai, how many integers from 1 to Ai (inclusive) are not divisible by any integer from 2 to 10 (inclusive)?

Input

The first line of input contains a single integer Q.

The next line contains Q integers, the ith integer is the value of Ai.

Output

Output Q lines, with one integer on each line.

The integer on the ith line should be the answer to Dae Koon's question for Ai.

Limits

Subtask 1 (100%): 1 ≤ Q ≤ 106. 2 ≤ Ai ≤ 1018.

Subtask 2 (0%): Sample Testcases

Sample Testcase 1

Input

1
12

Output

2

Submitting to 'indivisibility'


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Submitting .cpp to 'indivisibility'


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Compile Errors


							
Time Limit: 1 Seconds
Memory Limit: 256MB
No. of ACs: 18
Your best score: 0
Source: Dunjudge Archive

Subtask Score
1 100
2 0