CodeForces 651A-Joysticks

红太狼 2022-08-21 00:21 4阅读 0赞

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 *a*1 percent and second one is charged at *a*2 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 *a*1 and *a*2 (1 ≤ *a*1, *a*2 ≤ 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

Input

4 4

Output

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.

解题思路：

有两个手柄，我们会给出他剩余的电量，每次充电一分钟会多百分之一的电量，不充点会掉百分之二的电，直接模拟就行。

#include<stdio.h>
    #include<string.h>
    #include<algorithm>
    using namespace std;
    int main()
    {
    	int n,m;
    	while(scanf("%d%d",&n,&m)!=EOF)
    	{
    		int ans=0;
    		int cong=1;
    		for(;;)
    		{
    			if(n==1||m==1||n==2||m==2)
    			{
    				if(n==2&&m==1)
    				{
    					m++;
    					cong=2;
    				}
    				else if(n==1&&m==2)
    				{
    					n++;
    					cong=1;
    				}
    				else
    				{
    					int cmp=0;
    					if(n==1||n==2)
    					{
    						cmp=1;
    						n++;
    						cong=1;
    					}
    					else if((m==1||m==2)&&cmp==0)
    					{
    						m++;
    						cong=2;
    					}
    				}
    				
    			}
    			else
    			{
    				n++;
    				cong=1;
    			}
    			if(n==1||m==1)
    			{
    				break;
    			}
    			ans++;
    			if(cong==1)
    			{
    				m-=2;
    			}
    			else if(cong==2)
    			{
    				n-=2;
    			}
    			if(n==0||m==0)
    			{
    				break;
    			}
    		}	
    		printf("%d\n",ans);
    	}
    	return 0;
    }