There is only one list of N ingredients in the menu. Every ingredient has its beauty value that does not depend on its taste, but on the way it looks, which is expressed as a positive integer. To order a dish, the customer asks Ramsay to use all the ingredients from L to R (L is strictly less than R). Ramsay knows that the dish will be tasty and not only beautiful if the sum of its ingredients' beauty values is divisible by K. Ramsay does not want to use all the ingredients, so he always excludes one of them. Which one? - The least beautiful one! (in other words - which has the minimal beauty value). Now he wonders - how many segments (L,R) are there such that the sum of their beauty values will be divisible by K after excluding the least beautiful ingredient. Your assignment is to develop a python code that prints the answer for the problem. Sample test case are given below:

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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There is only one list of N ingredients in the menu. Every ingredient has its beauty value that does not depend on its taste, but on the way it looks, which is expressed as a positive integer. To order a dish, the customer asks Ramsay to use all the ingredients from L to R (L is strictly less than R). Ramsay knows that the dish will be tasty and not only beautiful if the sum of its ingredients' beauty values is divisible by K. Ramsay does not want to use all the ingredients, so he always excludes one of them. Which one? - The least beautiful one! (in other words - which has the minimal beauty value). Now he wonders - how many segments (L,R) are there such that the sum of their beauty values will be divisible by K after excluding the least beautiful ingredient. Your assignment is to develop a python code that prints the answer for the problem. Sample test case are given below:
Input:
3 5
1 2 3
Output:
1

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