using System;

using System.Collections.Generic;

public class Program

{

    public static void Main()

    {

        BalanceWords("CoNSUBsTANTiATIoN", "WRONGHEADED", "UNINTELLIGIBILITY", "SUPERGLUE");

    }

    public static void BalanceWords(params string[] words)

    {

        foreach(var word in words)

        {

            BalanceWord(word);

        }

    }

    public static void BalanceWord(string word)

    {

        // ToUpperInvariant to make sure we always work with the same ascii value for a letter

        var upperWord = word.ToUpperInvariant();

        // Give each characted his weight according to alphabet : A=1;B=2;C=3;...

        var weightedCharacters = new List<Tuple<char,int>>();

        foreach (var character in upperWord)

        {

            weightedCharacters.Add(new Tuple<char,int>(character, character - 64));

        }

​

        for (int balanceIndex = 0; balanceIndex < word.Length; balanceIndex++)

        {

            var leftWeight = CalculLeftWeight(balanceIndex, weightedCharacters);

            var rightWeight = CalculRightWeight(balanceIndex, weightedCharacters);

            // Stop if the word is balanced or if the leftweight overweight the rightweight which means the word coudn't be balanced. (it can only go more unbalanced if we continue)

            if (leftWeight == rightWeight)

            {

                Console.WriteLine("The word : '{0}' is balanced on the letter '{1}' with a weight of '{2}' on each side", word, word[balanceIndex], leftWeight);

                break;

            }

            else if (leftWeight > rightWeight)

            {

                Console.WriteLine("The word : '{0}' can't be balanced.", word);

                break;

            }

        }       

    }

    private static int CalculLeftWeight(int balanceIndex, List<Tuple<char,int>> weightedCharacters)

    {

        var multiplier = 0;

        var leftWeight = 0;

        for (int i = balanceIndex; i >= 0; i--)

        {

            leftWeight += ((Tuple<char,int>)weightedCharacters[i]).Item2 * multiplier;

            multiplier++;

        }

        return leftWeight;

    }

    private static int CalculRightWeight(int balanceIndex, List<Tuple<char,int>> weightedCharacters)

    {

        var multiplier = 0;

        var rightWeight = 0;

        for (int i = balanceIndex; i < weightedCharacters.Count; i++)

        {

            rightWeight += ((Tuple<char,int>)weightedCharacters[i]).Item2 * multiplier;

            multiplier++;

        }

        return rightWeight;

    }

}