text: # [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)
explanation: The document describes a programming problem from a CodeChef contest. The problem involves calculating the sum of products of all valid pairs of integers within a given range, with the result taken modulo \(10^9 + 7\). The document includes the problem statement, input and output formats, constraints, and a sample input and output with an explanation.
  
  The document contains a question (the problem statement) and an answer (the sample input and output with an explanation).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # [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)
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document describes a programming problem from a CodeChef contest. The problem involves calculating the sum of products of all valid pairs of integers within a given range, with the result taken modulo \(10^9 + 7\). The document includes the problem statement, input and output formats, constraints, and a sample input and output with an explanation.
  
  The document contains a question (the problem statement) and an answer (the sample input and output with an explanation).
  
  Label: question-and-answer