【HDU 1085】Holding Bin-Laden Captive!(思维水题)

本文介绍了一个经典的算法问题——最小不可支付金额,并提供了一种简洁高效的解决方案。该问题涉及三种面额的中国硬币(1元、2元、5元),要求找出无法用这些硬币组合支付的最小正数值。

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Holding Bin-Laden Captive!

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 25160    Accepted Submission(s): 11132


Problem Description
We all know that Bin-Laden is a notorious terrorist, and he has disappeared for a long time. But recently, it is reported that he hides in Hang Zhou of China! 
“Oh, God! How terrible! ”



Don’t be so afraid, guys. Although he hides in a cave of Hang Zhou, he dares not to go out. Laden is so bored recent years that he fling himself into some math problems, and he said that if anyone can solve his problem, he will give himself up! 
Ha-ha! Obviously, Laden is too proud of his intelligence! But, what is his problem?
“Given some Chinese Coins (硬币) (three kinds-- 1, 2, 5), and their number is num_1, num_2 and num_5 respectively, please output the minimum value that you cannot pay with given coins.”
You, super ACMer, should solve the problem easily, and don’t forget to take $25000000 from Bush!
 

Input
Input contains multiple test cases. Each test case contains 3 positive integers num_1, num_2 and num_5 (0<=num_i<=1000). A test case containing 0 0 0 terminates the input and this test case is not to be processed.
 

Output
Output the minimum positive value that one cannot pay with given coins, one line for one case.
 

Sample Input
1 1 3 0 0 0
 

Sample Output
4

直接讨论就好了,注意一元钱为0的情况。

如果所有的一元和所有的两元不够4,输出一元和两元价值+1;

否则输出所有币值价值+1;

#include<iostream>
#include<algorithm>
using namespace std;
int main()
{
	int a,b,c;
	while(cin>>a>>b>>c)
	{
		if(a+b+c==0) break;
		if(a==0) cout<<1<<endl;
		else if(a+2*b<4)
		{
			cout<<a+2*b+1<<endl;
		}
		else cout<<a+2*b+c*5+1<<endl;
	}
	return 0;
}
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