codeforces A. Joysticks

探讨了在只有一个充电器的情况下,如何通过策略延长两个初始电量不同的摇杆在游戏中的使用时间。通过示例说明了最优充电策略。
A. Joysticks
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Friends are going to play console. They have two joysticks and only one charger for them. Initially first joystick is charged at a1 percent and second one is charged at a2 percent. You can connect charger to a joystick only at the beginning of each minute. In one minute joystick either discharges by 2 percent (if not connected to a charger) or charges by 1 percent (if connected to a charger).

Game continues while both joysticks have a positive charge. Hence, if at the beginning of minute some joystick is charged by 1 percent, it has to be connected to a charger, otherwise the game stops. If some joystick completely discharges (its charge turns to 0), the game also stops.

Determine the maximum number of minutes that game can last. It is prohibited to pause the game, i. e. at each moment both joysticks should be enabled. It is allowed for joystick to be charged by more than 100 percent.

Input

The first line of the input contains two positive integers a1 and a2 (1 ≤ a1, a2 ≤ 100), the initial charge level of first and second joystick respectively.

Output

Output the only integer, the maximum number of minutes that the game can last. Game continues until some joystick is discharged.

Examples
input
3 5
output
6
input
4 4
output
5
Note

In the first sample game lasts for 6 minute by using the following algorithm:

  • at the beginning of the first minute connect first joystick to the charger, by the end of this minute first joystick is at 4%, second is at 3%;
  • continue the game without changing charger, by the end of the second minute the first joystick is at 5%, second is at 1%;
  • at the beginning of the third minute connect second joystick to the charger, after this minute the first joystick is at 3%, the second one is at 2%;
  • continue the game without changing charger, by the end of the fourth minute first joystick is at 1%, second one is at 3%;
  • at the beginning of the fifth minute connect first joystick to the charger, after this minute the first joystick is at 2%, the second one is at 1%;
  • at the beginning of the sixth minute connect second joystick to the charger, after this minute the first joystick is at 0%, the second one is at 2%.

After that the first joystick is completely discharged and the game is stopped.

题意:有a,b,两个电池,只有一个充电器,在使用的时候只有一个能接电源,而另一个不能接电源,接电源的那个每秒钟充1%的电,而不接电源的那个每秒钟消耗2%的电。问你两个电池最长能用多长时间。

AC:

#include<stdio.h>
int main()
{
 	int a,b;
 	while(scanf("%d%d",&a,&b)!=EOF)
 	{
 		int s=0,a1=0,b1=0;
 		if(a>=b)
 		{
 			a1=a;b1=b;
		 }
		 else
		 {
		 	a1=b;b1=a;
		 }
		 while(a1>0&&b1>0)
		 {
		 	if(a1==1&&b1==1)
		 	   break;
		 	if(a1==1||a1==2)
		 	{
		 		int temp=a1;
		 		a1=b1;
		 		b1=temp;
			 }
			 b1++;
			 a1-=2;
			 s++;
		 }
		 printf("%d\n",s);
	 }
	 return 0;
}

### Codeforces Div.2 比赛难度介绍 Codeforces Div.2 比赛主要面向的是具有基础编程技能到中级水平的选手。这类比赛通常吸引了大量来自全球不同背景的参赛者,包括大学生、高中生以及一些专业人士。 #### 参加资格 为了参加 Div.2 比赛,选手的评级应不超过 2099 分[^1]。这意味着该级别的竞赛适合那些已经掌握了一定算法知识并能熟练运用至少一种编程语言的人群参与挑战。 #### 题目设置 每场 Div.2 比赛一般会提供五至七道题目,在某些特殊情况下可能会更多或更少。这些题目按照预计解决难度递增排列: - **简单题(A, B 类型)**: 主要测试基本的数据结构操作和常见算法的应用能力;例如数组处理、字符串匹配等。 - **中等偏难题(C, D 类型)**: 开始涉及较为复杂的逻辑推理能力和特定领域内的高级技巧;比如图论中的最短路径计算或是动态规划入门应用实例。 - **高难度题(E及以上类型)**: 对于这些问题,则更加侧重考察深入理解复杂概念的能力,并能够灵活组合多种方法来解决问题;这往往需要较强的创造力与丰富的实践经验支持。 对于新手来说,建议先专注于理解和练习前几类较容易的问题,随着经验积累和技术提升再逐步尝试更高层次的任务。 ```cpp // 示例代码展示如何判断一个数是否为偶数 #include <iostream> using namespace std; bool is_even(int num){ return num % 2 == 0; } int main(){ int number = 4; // 测试数据 if(is_even(number)){ cout << "The given number is even."; }else{ cout << "The given number is odd."; } } ```
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