Batch class with Database state full

global class UpdateContactAddresses implements
    Database.Batchable<sObject>, Database.Stateful {
   
    // instance member to retain state across transactions
    global Integer recordsProcessed = 0;
    global Database.QueryLocator start(Database.BatchableContext bc) {
        return Database.getQueryLocator(
            'SELECT ID, BillingStreet, BillingCity, BillingState, ' +
            'BillingPostalCode, (SELECT ID, MailingStreet, MailingCity, ' +
            'MailingState, MailingPostalCode FROM Contacts) FROM Account ' +
            'Where BillingCountry = \'USA\''
        );
    }
    global void execute(Database.BatchableContext bc, List<Account> scope){
        // process each batch of records
        List<Contact> contacts = new List<Contact>();
        for (Account account : scope) {
            for (Contact contact : account.contacts) {
                contact.MailingStreet = account.BillingStreet;
                contact.MailingCity = account.BillingCity;
                contact.MailingState = account.BillingState;
                contact.MailingPostalCode = account.BillingPostalCode;
                // add contact to list to be updated
                contacts.add(contact);
                // increment the instance member counter
                recordsProcessed = recordsProcessed + 1;
            }
        }
        update contacts;
    }   
    global void finish(Database.BatchableContext bc){
        System.debug(recordsProcessed + ' records processed. Shazam!');
        AsyncApexJob job = [SELECT Id, Status, NumberOfErrors,
            JobItemsProcessed,
            TotalJobItems, CreatedBy.Email
            FROM AsyncApexJob
            WHERE Id = :bc.getJobId()];
        // call some utility to send email
        EmailUtils.sendMessage(a, recordsProcessed);
    }   
}



Test class:-

@isTest
private class UpdateContactAddressesTest {
    @testSetup
    static void setup() {
        List<Account> accounts = new List<Account>();
        List<Contact> contacts = new List<Contact>();
        // insert 10 accounts
        for (Integer i=0;i<10;i++) {
            accounts.add(new Account(name='Account '+i,
                billingcity='New York', billingcountry='USA'));
        }
        insert accounts;
        // find the account just inserted. add contact for each
        for (Account account : [select id from account]) {
            contacts.add(new Contact(firstname='first',
                lastname='last', accountId=account.id));
        }
        insert contacts;
    }
    static testmethod void test() {       
        Test.startTest();
        UpdateContactAddresses uca = new UpdateContactAddresses();
        Id batchId = Database.executeBatch(uca);
        Test.stopTest();
        // after the testing stops, assert records were updated properly
        System.assertEquals(10, [select count() from contact where MailingCity = 'New York']);
    }
   
}