Best Buggy Ratings

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A rating system for cricket players is built by Mr.Bugs Bunny and as expected, it has lot of bugs. The initial ratings of N players ( numbered 0 to N1 ) are given and we refer it as array V_{0}. The system is expected to answer simple queries of the form, find the top2 maximum ratings among players from i to j ( inclusive ). Top2 maximum means the first two elements of the ratings sorted in nonincreasing order.
Due to bugs in the system, an unexpected update occurs after output of each query and this creates a new version of the ratings array V. We refer the Kth version of the ratings arrays as V_{K}. Also, for a query, the system queries on some previous version of V. Mr. Bunny gave the exact details of the bugs as follows,
Given Q queries numbered 1 to Q in order and values of A B C D M,
 For a query number K, the query is made on the array V_{t} , where t = ( A * R1 + D ) % K, and R1 is the maximum rating in the query range of the previous query. For the first query, consider R1 = 0.
 For a query number K, let R1 and R2 be the top2 maximum ratings ( R1 ≥ R2 ). After it outputs this answer, the system changes the rating of a player. Specifically, the rating of player number ( B * R1 + D ) % N is changed to ( C * R2 + D ) % M. This update is on the array V_{(K1)} and a new version V_{K} is created.
You can not fix these bugs, but can you guess the output produced by this system. For more clarity, check the pseudo code below.
read array V_{0}; R1 = 0, R2 = 0; for K = 1 to Q t = ( A * R1 + D ) % K read qi qj R1, R2 = top2 Maximum ratings in range [qi..qj] in the array V_{t} Output R1 R2 V_{K} = Update array V_{(K1)} by changing V_{(K1)} [ ( B * R1 + D ) % N ] = ( C * R2 + D ) % M endfor
Note: Take care of potential overflows in intermediate calculations in the equations mentioned above. The authors algorithm doesn't depend on the values of A B C D M, they are just used to generate some values.
Input
First line contains 6 integers N M A B C D and the second line contains N integers, the initial ratings of N players in order ( 2 ≤ N, A, B, C, D ≤ 100,000 ; 0 ≤ V_{0}[i] , M < 1,000,000,000 ; M ≥ 2 ). Next line contains Q ( number of queries 1 ≤ Q ≤ 100,000 ), followed by Q lines. The Kth line in this has the query number K, and has two integers qi qj ( 0 ≤ qi < qj < N ).
Output
For each query, output the top2 maximum ratings R1 R2 ( R1 ≥ R2 ) in a new line.
Example
Input: 6 1000 2 2 2 2 1 2 3 4 5 6 4 0 5 0 3 1 3 2 5 Output: 6 5 4 3 12 4 12 8
Explanation:
V_{0} = { 1, 2, 3, 4, 5, 6 }
1.) t = 0 > top2 max of V_{0}[0..5] = 6 , 5
Updating V_{0}[2] with 12
V_{1} = { 1, 2, 12, 4, 5, 6 }
2.) t = ( A(=2) * R1(=6) + D(=2) ) % 2 = 0 > top2 max of V_{0}[0..3] = 4 , 3
R1 = 4, R2 = 3
Updating index = ( B(=2) * R1(=4) + D(=2) ) % N(=6) = 4 with value = ( C(=2) * R2(=3) + D(=2) ) % M(=1000) = 8
V_{2} = { 1, 2, 12, 4, 8, 6 }
3.) t = 1 > top2 max of V_{1}[1..3] = 12 , 4
Updating V_{2}[2] = 10
V_{3} = { 1, 2, 10, 4, 8, 6 }
4.) t = 2 > top2 max of V_{2}[2..5] = 12 , 8
Updating V_{3}[2] = 18
V_{4} = { 1, 2, 18, 4, 8, 6 }
Author:  flying_ant 
Tester:  Maksflow 
Editorial  http://discuss.codechef.com/problems/TMRATING 
Tags  cook21, flying_ant, medium 
Date Added:  11042012 
Time Limit:  0.658371  1.36 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.5, 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, CLOJ, FS 
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