# [SOLUTION] Hope you get it solution codechef 2021 – Spider AlgoCup Codechef

## Hope you get it solution codechef 2021

Chef created a new dish and he is willing to give the recipe for the same. The ingredients for the recipe are product of numbers in a pair. A pair consists of two integers say X,YX,Y then the ingredient is XYX∗Y and XYX≠Y. After this chef mixes all the ingredients to make the dish.

Here mixing the ingredients means summation of all ingredients present in the dish. Also the dish will be best if it made from all possible Valid pairsValid pairs from a given range L to RL to R including LL and RR.

As chef is now making the dish , he asked you to calculate the value of summation till dish is ready to be served. Since the summation can be large, output the SUM Modulo 1000000007 (109+7109+7).

### Input: Hope you get it solution codechef 2021

• First line will contain TT, number of testcases. Then the testcases follow.
• Each testcase contains of a single line of input, two integers L,RL,R.

### Output: Hope you get it solution codechef 2021

For each testcase, output in a single line SUM modulo 1000000007.

### Constraints Hope you get it solution codechef 2021

• 1T1000001≤T≤100000
• 1LR1091≤L≤R≤109

### Sample Input: Hope you get it solution codechef 2021

1
3 7


### Sample Output: Hope you get it solution codechef 2021

490


### EXPLANATION:

34+35+36+37+45+46+47+56+57+67=2453∗4+3∗5+3∗6+3∗7+4∗5+4∗6+4∗7+5∗6+5∗7+6∗7=245 , SUM =2245SUM =2∗245(twice for reverse pairs)
The text passage describes a problem statement for a coding challenge, where the task is to calculate the sum of products of all valid pairs of integers within a given range, and then output the result modulo 1000000007. The passage includes input and output formats, constraints, and a sample input-output pair with an explanation.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# [SOLUTION] Hope you get it solution codechef 2021 – Spider AlgoCup Codechef

## Hope you get it solution codechef 2021

Chef created a new dish and he is willing to give the recipe for the same. The ingredients for the recipe are product of numbers in a pair. A pair consists of two integers say X,YX,Y then the ingredient is XYX∗Y and XYX≠Y. After this chef mixes all the ingredients to make the dish.

Here mixing the ingredients means summation of all ingredients present in the dish. Also the dish will be best if it made from all possible Valid pairsValid pairs from a given range L to RL to R including LL and RR.

As chef is now making the dish , he asked you to calculate the value of summation till dish is ready to be served. Since the summation can be large, output the SUM Modulo 1000000007 (109+7109+7).

### Input: Hope you get it solution codechef 2021

• First line will contain TT, number of testcases. Then the testcases follow.
• Each testcase contains of a single line of input, two integers L,RL,R.

### Output: Hope you get it solution codechef 2021

For each testcase, output in a single line SUM modulo 1000000007.

### Constraints Hope you get it solution codechef 2021

• 1T1000001≤T≤100000
• 1LR1091≤L≤R≤109

### Sample Input: Hope you get it solution codechef 2021

1
3 7


### Sample Output: Hope you get it solution codechef 2021

490


### EXPLANATION:

34+35+36+37+45+46+47+56+57+67=2453∗4+3∗5+3∗6+3∗7+4∗5+4∗6+4∗7+5∗6+5∗7+6∗7=245 , SUM =2245SUM =2∗245(twice for reverse pairs)
user
The text passage describes a problem statement for a coding challenge, where the task is to calculate the sum of products of all valid pairs of integers within a given range, and then output the result modulo 1000000007. The passage includes input and output formats, constraints, and a sample input-output pair with an explanation.

TYPE: SINGLE_QUESTION_WITH_ANSWER