You are given two integers numBottles and numExchange. numBottles represents the number of full water bottles that you initially have. In one operation, you can perform one of the following operations: Drink any number of full water bottles turning

maxBottlesDrunk.js

/**
 * @param {number} numBottles
 * @param {number} numExchange
 * @return {number}
 */
var maxBottlesDrunk = function(numBottles, numExchange) {
    // Track the total number of bottles drunk
    let totalDrunk = 0;

    // Track how many empty bottles we have after drinking
    let emptyBottles = 0;

    // Continue as long as we have full bottles to drink
    while (numBottles > 0) {
        // Drink all current full bottles
        totalDrunk += numBottles;

        // They become empty bottles
        emptyBottles += numBottles;

        // We've drunk them all so reset full bottles
        numBottles = 0;

        // Check if we have enough empty bottles to exchange
        if (emptyBottles >= numExchange) {
            // Exchange once: spend numExchange empty bottles to get 1 full bottle
            emptyBottles -= numExchange;
            numBottles += 1;

            // Increase the cost of exchange for next time
            numExchange += 1;
        } else {
            // Not enough empty bottles to exchange, so we're done
            break;
        }
    }

    // Return the total number of bottles we've drunk
    return totalDrunk;
};