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How can I update the fields below on the Account object? I am not familiar with writing a Batch Trigger. Please see code below.

Number_of_Contacts__c​
Number_of_Active_Contacts__c
 

trigger NumberOfContacts on Account (before insert, before update) {
    if(trigger.isinsert)
        for(account a:trigger.new)
            a.Number_of_contacts__c = 0;
    else
        for(account a:[select id,(select id from contacts) from account where id in :trigger.new])
            trigger.newmap.get(a.id).Number_of_contacts__c = a.contacts.size();
            
        for(account b:[select id,(select id from contacts where Inactive__c = False) from account where id in :trigger.new])
            trigger.newmap.get(b.id).Number_of_active_contacts__c = b.contacts.size();
}

Thanks in advnce!