VECTAR8 - Primal Fear

Changu and Mangu are afraid of prime numbers, but they are not afraid of all prime numbers. They were afraid of only a special kind of prime numbers. They are afraid of the prime numbers (without the digit zero, they love all the primes which have digits 0 in them) that remain prime no matter how many of the leading digits are omitted. For example, they are afraid of 4632647 because it doesn't have the digit 0 and each of its truncations (632647, 32647, 2647, 647, 47, and 7) are primes.

You are given a simple task, given a number of N, find out the number of primes not greater that N, that changu and mangu are afraid of.

Input

The first line contains T, the number of test cases. T lines follow, each containing a number N.

Output

On each line print the number of primes not greater that N, that changu and mangu are afraid of.

Example

Input:
3
2
3
4

Output:
1
2
2

Constraints

T ≤ 10^5

1 ≤ N < 10^6


Added by:Piyush Kumar
Date:2016-07-04
Time limit:0.300s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 GOSU JS-MONKEY

hide comments
2024-09-08 11:48:23
This is for those who are desperate like me...
<snip>

Last edit: 2024-09-08 11:55:23
2023-01-12 23:50:56
Thanks @shokal_kishan, I missed to delete all digits which they love,
2022-07-06 14:43:20
test cases
5
20
50
100
1000
155
answer
6
10
15
54
17

Last edit: 2022-07-06 14:45:10
2022-06-22 14:23:30
I think I precalculated all the "scary primes" correctly, but I'm getting WAs. Can anyone provide any test cases?
2022-04-18 10:52:55
Can You Please provide any test cases? i am unable to figure out the error in my code
2021-07-28 12:49:33
read the question statement carefully,hint is in the question statement itself
2021-06-09 20:34:00
try ios_base::sync_with_stdio(false);cin.tie(NULL);
2021-01-26 11:52:29
i am also getting tle ,even though i have used sieve and it runs very well on desktop compiler .
my solution :- id:-27340844
2020-09-15 18:58:44
By precomputation I thought just to do seive before input, but it was everything to be done in this problem before input :)
2020-07-18 08:34:10
All comments are just Ac in this much, Ac in that much.
All are useless.
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