Lucky Sum

Problem code: LUCKY3

All submissions for this problem are available.

Chef loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.

Chef also use term "lucky sum". Lucky sum is an operation between two integers. Let the first integer is A, A[i] equals i-th digit of A (0-base numeration, from right to left) and the second integer is B, B[i] equals to i-th digit of B. Then the lucky sum of A and B is equal to C, C[i] = max(A[i], B[i]). If i is greater than or equal to size of integer, the i-th digit is equal to 0. For example, the lucky sum of 47 and 729 equals 749, the lucky sum of 74 and 92 and 477 equals 497.

Chef has an array W of integers. Find a number of non-empty subsequences of W such that the lucky sum of integers in that subsequences is a lucky number.

Subsequence of W is created by erasing some number (probably zero) elements from W.

Input

First line contains one number T, number of test cases. Each test is formed as follows: first line contains integer n - number of integers in W, next line contains n integers - array W for corresponding test.

Output

For each T test cases print one integer - result for the corresponding test.

Constraints

1 <= T <= 10

1 <= n <= 50

1 <= Wi < 10^9

Example

Input:
2
2
4 7
3
43 87 44

Output:
3
2

Author: witua
Date Added: 21-11-2011
Time Limit: 5 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TCL, TEXT, WSPC


Comments

SUCCESSFUL SUBMISSIONS FOR THIS PROBLEM:

HELP

Program should read from standard input and write to standard output. After you submit a solution you can see your results by clicking on the [My Submissions] tab on the problem page. Below are the possible results:

 

  • Accepted Your program ran successfully and gave a correct answer. If there is a score for the problem, this will be displayed in parenthesis next to the checkmark.
  • Time Limit Exceeded Your program was compiled successfully, but it didn't stop before time limit. Try optimizing your approach.
  • Wrong Answer Your program compiled and ran succesfully but the output did not match the expected output.
  • Runtime Error Your code compiled and ran but encountered an error. The most common reasons are using too much memory or dividing by zero. For the specific error codes see the help section.
  • Compilation Error Your code was unable to compile. When you see this icon, click on it for more information.

    • If you are still having problems, see a sample solution here.

CodeChef is a global programming communityCodeChef hosts online programming competitions