indivisibility Batch , stdin/stdout

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indivisibility.html

Problem Description

You have an array of Q integers.

Dae Koon sees your array of integers and wonders, for each integer in the array A_i, how many integers from 1 to A_i (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 A_i.

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 A_i.

Limits

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

Subtask 2 (0%): Sample Testcases

Sample Testcase 1

Input

1
12

Output

Subtasks and Limits

Subtask	Score	#TC	Time	Memory	Scoring
1	100	5	1s	4MB	Minimum
2	0	1	1s	4MB	Minimum

Judge Compile Command

g++-8 ans.cpp -o indivisibility -Wall -Wshadow -static -O2 -lm -m64 -s -w -std=gnu++17 -fmax-errors=512