Code in C programming only ( not C++ or Java or Python)BeautifulPathYou are supposed to write production ready code with Proper Unit Test Cases, Modularizaton etc.You need to write your test cases under user package in test folder. One sample test is created under samepackage for reference.Your code will be evaluated on the basis of code coverage, Code Quality, Best Practices and Bugs.NOTE: Here, we use CMocka for writing test cases and GCC Compiler.**PROBLEM:*Given a directed graph with N nodes and M edges. Each node is associated with lowercase english alphabet.Beauty of a path is defined as the number of most frequently occurring alphabet.Find the most beautiful path and return the maximum beauty value it has.*CONSTRAINTS:*1< N,M < 300000**FUNCTION DESCRIPTION:*Complete the function beauty in code. Function must Return an integer, the beauty of most beautiful path.If the value is very large return -1.Function beauty has the following parameter(s):n: integer, number of nodesm: integer, number of directed edgesS: string of length n where ith alphabet denotes the alphabets associated with ith nodeX: list of lengthmY: list of length mX, Y: two integers arrays of length M, pair Xi, Yi denotes there is an edge from node Xi to Yi.OutputReturn an integer, the beauty of most beautiful path. If the value is very large return -1.*"EXAMPLE:**Input:-n: 5m: 4S: abacax: [ 1, 1, 3, 4 ]y: [ 2, 3, 4, 5]Output:- 3Explanation- Path with maximum beauty is (1->3->4->5) ie (aaca)lonut.Strictly Use the following Function :-int beauty(int v, int e, String s, int[] x, int[] y)

Program Explanation: Declare header files Define the values for rows and columns using #define…

Given a directed graph with N nodes and Medges. Each node is associated with lowercase english alphabet. Beauty of a path is defined as the number of most frequently occurring alphabet. Find the most beautiful path and return the maximum beauty value it has.

Given a directed graph with N nodes and Medges. Each node is associated with lowercase english alphabet. Beauty of a path is defined as the number of most frequently occurring alphabet. Find the most beautiful path and return the maximum beauty value it has.

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

Problem 1PE

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Concept explainers

Strongly Connected Components

A directed graph in which a path exists between all its pairs of vertices is called a strongly connected graph. A portion of the strongly connected directed graph that contains a path to reach from each vertex to other vertices is called a strongly connected component (SCC).

Question

Code in C programming only ( not C++ or Java or Python)
BeautifulPath
You are supposed to write production ready code with Proper Unit Test Cases, Modularizaton etc.
You need to write your test cases under user package in test folder. One sample test is created under same
package for reference.
Your code will be evaluated on the basis of code coverage, Code Quality, Best Practices and Bugs.
NOTE: Here, we use CMocka for writing test cases and GCC Compiler.
**PROBLEM:*
Given a directed graph with N nodes and M edges. Each node is associated with lowercase english alphabet.
Beauty of a path is defined as the number of most frequently occurring alphabet.
Find the most beautiful path and return the maximum beauty value it has.
*CONSTRAINTS:*
1< N,M < 300000
**FUNCTION DESCRIPTION:*
Complete the function beauty in code. Function must Return an integer, the beauty of most beautiful path.
If the value is very large return -1.
Function beauty has the following parameter(s):
n: integer, number of nodes
m: integer, number of directed edges
S: string of length n where ith alphabet denotes the alphabets associated with ith node
X: list of lengthm
Y: list of length m
X, Y: two integers arrays of length M, pair Xi, Yi denotes there is an edge from node Xi to Yi.
Output
Return an integer, the beauty of most beautiful path. If the value is very large return -1.
*"EXAMPLE:**
Input:-
n: 5
m: 4
S: abaca
x: [ 1, 1, 3, 4 ]
y: [ 2, 3, 4, 5]
Output:- 3
Explanation- Path with maximum beauty is (1->3->4->5) ie (aaca)
lonut.
Strictly Use the following Function :-
int beauty(int v, int e, String s, int[] x, int[] y)

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