GuilinDev

Lc0860

05 August 2008

860 Lemonade Change

题目

At a lemonade stand, each lemonade costs

1
$5
.

Customers are standing in a queue to buy from you, and order one at a time (in the order specified by

1
bills
).

Each customer will only buy one lemonade and pay with either a

1
$5
,
1
$10
, or
1
$20
bill. You must provide the correct change to each customer, so that the net transaction is that the customer pays $5.

Note that you don’t have any change in hand at first.

Return

1
true
if and only if you can provide every customer with correct change.

Example 1:

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Input: [5,5,5,10,20]
Output: true
Explanation: 
From the first 3 customers, we collect three $5 bills in order.
From the fourth customer, we collect a $10 bill and give back a $5.
From the fifth customer, we give a $10 bill and a $5 bill.
Since all customers got correct change, we output true.

Example 2:

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2
Input: [5,5,10]
Output: true

Example 3:

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2
Input: [10,10]
Output: false

Example 4:

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Input: [5,5,10,10,20]
Output: false
Explanation: 
From the first two customers in order, we collect two $5 bills.
For the next two customers in order, we collect a $10 bill and give back a $5 bill.
For the last customer, we can't give change of $15 back because we only have two $10 bills.
Since not every customer received correct change, the answer is false.

Note:

  • 1
    
    0 <= bills.length <= 10000
    
  • 1
    
    bills[i]
    
    will be either
    1
    
    5
    
    ,
    1
    
    10
    
    , or
    1
    
    20
    
    .

分析

只有三种面值,看最后是否能够找钱。使用贪心的思想,如果遇到$5,直接收下;如果遇到$10,找$5;如果遇到$20,有两种选择,找3个$5,或者找1个$5和$10 - 这里考虑贪心,总是先找$10,因为手里有两个$5肯定比一个$10要好。

算法:

收到$5 - five++

收到$10 - five–, ten++

收到$20 - five–, ten– 或者five – 三次 if ten ==0

中间检查$5是否为负,时间复杂度O(n),空间复杂度O(1)。

代码

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class Solution {
    public boolean lemonadeChange(int[] bills) {
        int five = 0, ten = 0;
        for (int bill : bills) {
            if (bill == 5) five++;
            else if (bill == 10) {five--; ten++;}
            else if (ten > 0) {ten--; five--;}
            else five -= 3;
            if (five < 0) return false;
        }
        return true;
    }
}