# Dylans loves polynomial

Accepts: 1
Submissions: 25
Time Limit: 2000/1000 MS (Java/Others)
Memory Limit: 131072/131072 K (Java/Others)
Problem Description
First Dylans is given $N$ points $(x_i,y_i)$ in Rectangular Plane Coordinate System. It guarantees that each $x$ is different. And there are $Q$ questions.Each question are three numbers:$(L,R,x)$. His task is to make up a polynomial that its highest coefficient is equal to $(R-L)$. To check his polynomial,he needs to print the value（$y$）of the polynomial by $x$. Because the value and the pair of points can be very huge,so each calculate must mod $1000000007$. All points and number $x$ in query are positive integers and not bigger than $250000$. $2 \leq N \leq 3000,1 \leq Q \leq 3000, 1 \leq L,R \leq N,R>L$
Input
In the first line there is a number $N$. In the next $N$ lines there are two numbers $(X_i,Y_i)$. Then in the next line there is a number $Q$. In the next $Q$ lines there are three numbers$(L,R,x)$
Output
For each question,output the value of polynomial.
Sample Input
4
1 1
2 2
3 3
4 4
3
1 2 1
2 3 3
2 4 1
Sample Output
1
3
1

Hint
You shouldn't print any space in each end of the line in the hack data.