Make It Zero 2

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Aleksandra is the most popular girl in the city. Each boy can only dream about dating her. Other girls want to be like her.
Aleksandra is going to find herself a boyfriend. Of course such a beauty needs someone special. That's why she is going to announce a quiz. Even you can try your chances at this. Apart from boys, the girl also loves math. That's why this quiz is going to be mathematical.
She has two matrixes with N rows and M columns each. Let P_{i,j} and A_{i,j} be the j^{th} element of the i^{th} row of the first and second matrixes respectively. She likes 0, that's why she is going to get rid of all non zero numbers in the second matrix. In each turn she may choose five integers:
 1 ≤ x_{1} ≤ x_{2} ≤ N
 1 ≤ y_{1} ≤ y_{2} ≤ M
 0 ≤ k ≤ 10000
and after this, for all pairs (i,j) such that:
 x_{1} ≤ i ≤ x_{2}
 y_{1} ≤ j ≤ y_{2}
she does the following:
 A_{i,j} = (k + A_{i,j}) modulo P_{i,j}
It takes her a lot of turns to do this. That's why she gives this problem to all boys in the city and promises to go for a date with the one who will solve this task with the fewest number of moves.
It is your chance to walk with such a wonderful girl. Just use it!
Input
The first line contains two spaceseparated integers N and M, denoting the size of the matrix. Then the i^{th} line of the next N lines contains M spaceseparated integers P_{i,1}, P_{i,2}, ..., P_{i,M}. After matrix P, matrix A is given in the same format.
Output
In the first line, print the integer Q (0 ≤ Q ≤ N * M), denoting the number of the moves for erasing all non zero numbers from the second matrix. In the i^{th} line of the next Q lines, print 5 spaceseparated integers x_{1}, y_{1}, x_{2}, y_{2}, k, denoting the information about submatrix chosen at the i^{th} move.
Note: Your solution will be judged as wrong answer if Q is larger then N*M.
Constraints for the official judge data
 66 ≤ N, M ≤ 99
 1 ≤ P_{i,j} ≤ 10
 0 ≤ A_{i,j} < P_{i,j}
Example
Input: 2 2 1 2 2 3 0 1 1 1 Output: 2 1 1 2 2 1 2 2 2 2 1
Scoring
For each test file, your score is calculated as 100 × Q / (N × M). Then the total your score is defined as the average of your score for the test files (see the next paragraph, for more details). The aim for this problem is to minimize the total your score.
We have 40 official test files. You must correctly solve all test files to receive accepted. During the contest, the scores of the last 30 test files are 0, that is, the total your score is calculated by only the first 10 tests. After the contest, all solutions will be rescored by the average of the scores of the all 40 test files, and it will be the final score.
Test generation
In the official test file, N and M are choosing uniformly and randomly from [66, 99]. Each P_{i,j} is chosen randomly from 1 to 10 inclusive. Then each A_{i,j} is chosen randomly from [0, P_{i,j} − 1].
Author:  ballon_ziq 
Tester:  laycurse 
Editorial  http://discuss.codechef.com/problems/LMATRIX2 
Tags  ballon_ziq, challenge, feb14 
Date Added:  9022014 
Time Limit:  1 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.6, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, PYP3, CLOJ, FS 
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