Practice
Resources
Contests
Online IDE
New
Free Mock
Events New Scaler
Practice
Improve your coding skills with our resources
Contests
Compete in popular contests with top coders
Events
Attend free live masterclass hosted by top tech professionals
New
Scaler
Explore Offerings by SCALER

# Range Shopping

Problem Description

Hamid is visiting a fair near his village. There are N shops of toys arranged in a line from left to right numbered 1 to N. There are two types of toys in each shop. The toy of type 1 costs A[i][0] coins and the toy of type 2 costs A[i][1] coins.

Now, he asks you to solve Q queries for him. Each query will be of type-

l r x y - He visits each shop from l to r in this order and he will buy exactly one toy from each of the visited shops. But, he wants to buy at least x toys of type 1 and at least y toys of type 2. Help him find the minimum cost for buying the toys. Since the answer can be large, return it modulo 109 + 7.

Problem Constraints

1 <= N, Q <= 105

1 <= l <= r <= N

0 <= x + y <= r-l+1

1 <= A[i][0], A[i][1] <= 109

Input Format

The first argument contains a 2D array A of size N x 2, denoting the prices of toys.

The second argument contains a 2D array B of size Q x 4, denoting the queires.

Output Format

Return an array of size Q denoting the answers to the queries.

Example Input

Input 1:

```  A :
[
[1, 2]
[4, 2]
[3, 2]
[4, 3]
]
B :
[
[2, 3, 1, 1]
[1, 4, 2, 1]
]
```
Input 2:

```  A :
[
[2, 3]
[4, 5]
[2, 1]
]
B :
[
[2, 3, 0, 1]
]
```

Example Output

Output 1:

```  [5, 9]
```
Output 2:

```  [5]
```

Example Explanation

Explanation 1:

```  1. You can buy toy of type 2 in shop 2 with cost 2 and toy of type 1 in shop 3 with cost 3.
2. You can buy toy of type 1 in shop 1 with cost 1, toy of type 2 in shop 2 with cost 3,
toy of type 1 in shop 3 with cost 3 and toy of type 2 in shop 4 with cost 3.
So, you bought 2 toys of type 1 and 2 toys of type 2.
```
Explanation 2:

```  Buy toy of type 1 in shop 2 and toy of type 2 in shop 3.
```

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
• Hint 1
• Solution Approach
• Complete Solution

## Discussion

Free Mock Assessment
Fill up the details for personalised experience.
All fields are mandatory
Current Employer *
Enter company name *
Select an option *
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
Phone Number *
OTP will be sent to this number for verification
+1 *
+1
Change Number
Phone Number *
OTP will be sent to this number for verification
+1 *
+1
Change Number
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
*Enter the expected year of graduation if you're student
Current Employer *
Company Name *