Shops in Mirzapur

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Problem description.
There are $N$ shops in a straight line some where in Mirzapur each of them selling same type of chocolate.Each shops have their own price of chocolate . Formally , $i$th shop sells $A[i]$ number of chocolates in exchange of $1$ coin . Also each shop will give $B[i]$ number of chocolates for free to any customer that buys chocolates from their shop .
Chef likes chocolates very much so he regularly buys chocolates from any one shopkeeper who will give him maximum number of chocolates .
Chef also likes playing with intervals . So each time Chef will have $x$ number of coins in his pocket and two integers $L$ and $R$ . Chef will look at every shop that lies between $L$ and $R$ and will buy chocolates from that shop which will give him maximum number of chocolates for $x$ coins .
Also the position of shops are changing with time .
More formally there are $Q$ actions of two types that are happening in a sequence.
$1$ $i$ $j$ $i$th shop is shifted after $j$th shop.
$2$ $L$ $R$ $x$ Chef arrives at market to buy chocolates with $x$ coins in his pocket along with two integers $L$ and $R$ as described above.
Note that there are only $10$% queries of type $1$ .
Input:
 First line will contain $N$, number of shops.
 Next $N$ lines contains two space separated integers $A[i]$ and $B[i]$ as described above
 Next line contain one integer $Q$ number of queries.
 Next $Q$ line will contain queries of either of two types : $1)$ $1$ $i$ $j$ , $2)$ $2$ $L$ $R$ $x$
Output:
Print the answer for each query of type two in a new line.Constraints
Sample Input:
52 2
4 5
1 3
3 6
7 1
3
2 2 3 3
1 2 4
2 2 3 3
Sample Output:
1715
EXPLANATION:
Before shifting shops in range $[2,3]$ are $(4,5) and (1,3)$ out of which $1$st shop will give maximum chocolate i.e. $4*3+5=17$.After shifting sequence of shop will be as below :
2 2
1 3
3 6
4 5
7 1
Therefore shops in range $[2,3]$ are $(1,3) and (3,6)$ out of which $2$nd shop will give maximum chocolate i.e. $3*3+6=15$.
Author:  xodiac 
Tags  xodiac 
Date Added:  25122018 
Time Limit:  2.5 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.6, PYPY, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, rust, SCALA, swift, 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, kotlin, PERL6, TEXT, SCM chicken, PYP3, CLOJ, COB, FS 
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