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Left Prime

By tahmedge · Limits 1s, 512 MB

Prime numbers are the ones which can only be divided by 1 and the number itself. 2, 3, 5, 7, 11, 13 etc.
are prime numbers.

In this problem, you will take a number NN as input and print the total number of prime numbers that are in the left of NN.

Input

In the first line of input, you will take a number TT (1T1051 \le T \le 10^5). It indicates the total number of test cases. In the following TT lines, you will take a number NN (1N1071 \le N \le 10^7) as input and print the total number of prime numbers that are in the left of NN.

Output

For each test case print the ans of the corresponding NN in a newline.

Sample

InputOutput
5
1
2
3
4
5
0
0
1
2
2

Discussion

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