背景

《爱情公寓5》中有个剧情:每瓶啤酒2元,2个空酒瓶或4个瓶盖可换1瓶啤酒。10元最多可喝多少瓶啤酒?
脑海模拟起来的确有点费劲。心算结果是15瓶,而剧情实践居然是20瓶!结合弹幕说的酒吧可能可以借酒,故猜测借酒使最终喝了20瓶。
如果改变拥有的钱数或啤酒价格时,答案又是什么呢?
此时,不禁想用编程的方法解决一下。

思路

分两种情况:酒吧可以借酒;酒吧不可以借酒;

酒吧不可以借酒

此时,当剩余酒盖数<4且剩余空瓶数<2时,计算就结束了

酒吧可以借酒

这种情况比较麻烦,需要考虑1个空瓶和3个瓶盖时借一瓶酒的情况。此时,当换完酒、假设喝了酒并把酒瓶换新酒、喝了新酒之后(空瓶1,瓶盖3),手上的酒瓶和酒盖的价值不大于已借的酒瓶数(2瓶)时,就需要考虑结束计算了。
详细代码如下:

//
//  main.swift
//  beerMaxDrink
//
//  Created  on 2020/2/4.
//  Copyright © 2020. All rights reserved.
//
/*
 酒吧啤酒2元一瓶,两个空瓶或四个瓶盖可以换一瓶啤酒(酒吧概不借酒),你有10元钱,请问最多可以喝几瓶?
 */

import Foundation

//共累计喝的瓶数
var drinkSum = 0
//当前瓶子数
var bottleNum = 0
//当前瓶盖数
var capsNum = 0

//返回(累计喝瓶数,剩余瓶子数,剩余瓶盖数)
func getMaxDrinkSum(money:Float, price:Float) ->(Int, Int, Int) {

    bottleNum = Int(money / price)
    capsNum = bottleNum
    drinkSum = bottleNum
    
    //开始换酒,是个循环
    while bottleNum > 1 || capsNum > 3 {
        //酒瓶换
        let wineAddedByBottle = bottleNum / 2
        drinkSum += wineAddedByBottle
        bottleNum = bottleNum % 2 + wineAddedByBottle
        capsNum += wineAddedByBottle
        
        //酒盖换
        let wineAddedByCaps = capsNum / 4
        drinkSum += wineAddedByCaps
        capsNum = capsNum % 4 + wineAddedByCaps
        bottleNum += wineAddedByCaps
    }
    return (drinkSum, bottleNum, capsNum)
}

//可以借酒时,返回(累计喝瓶数,剩余瓶子数,剩余瓶盖数)
func getMaxDrinkSumCanBorrow(money:Float, price:Float) ->(Int, Int, Int) {

    var borrowedNum = 0
    bottleNum = Int(money / price)
    capsNum = bottleNum
    drinkSum = bottleNum
    
    //开始换酒,是个循环
    while bottleNum >= 1 || capsNum >= 3 {
 
        //酒瓶换
        let wineAddedByBottle = bottleNum / 2
        drinkSum += wineAddedByBottle
        bottleNum = bottleNum % 2 + wineAddedByBottle
        capsNum += wineAddedByBottle
        
        //如果(2酒瓶2酒盖时,"酒瓶换"已经把2酒瓶换为1瓶1盖,即变为1瓶3盖,方便做判断)借一瓶后,空瓶和瓶盖能换的酒数 <= 已借瓶数时,结束;否则,借一瓶
        if 1 == bottleNum || 3 == capsNum{//不能少,否则在循环时会提前借酒
            if (bottleNum + 1)/2 + (capsNum + 1)/4 <= borrowedNum {
                
                //不应该喝一瓶,回退
                bottleNum += 1
                capsNum -= 1
                return (drinkSum - 1, bottleNum - borrowedNum, capsNum - borrowedNum)
            }else{ //借一瓶
                borrowedNum += 1
                bottleNum += 1
                capsNum += 1
                
                //酒瓶换
                let wineAddedByBottle = bottleNum / 2
                drinkSum += wineAddedByBottle
                bottleNum = bottleNum % 2 + wineAddedByBottle
                capsNum += wineAddedByBottle
            }
        }
        
        //酒盖换
        let wineAddedByCaps = capsNum / 4
        drinkSum += wineAddedByCaps
        capsNum = capsNum % 4 + wineAddedByCaps
        bottleNum += wineAddedByCaps
    }
    return (drinkSum, bottleNum, capsNum)
}

let rslt0 = getMaxDrinkSum(money: 10.0, price: 2)
print(rslt0)

let rsltCanBorrow0 = getMaxDrinkSumCanBorrow(money: 10.0, price: 2)
print(rsltCanBorrow0)

let rslt1 = getMaxDrinkSum(money: 10.0, price: 5)
print(rslt1)

let rsltCanBorrow1 = getMaxDrinkSumCanBorrow(money: 10.0, price: 5)
print(rsltCanBorrow1)

运行结果如下,证明代码正确:

(15, 1, 3)
(20, 0, 0)
(3, 1, 3)
(8, 0, 0)
Program ended with exit code: 0

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