说说这个题目,大家一般都将这个问题抽象成了数学问题来解决,但是我的解法是最直接的枚举,观察题意可知,对每一组数据应该有两种 天平的出解情况,a*x==b*y+d和a*x+d==b*y
对每一种情况按照人放东西的方法来枚举,如果天平的一边重了,就在另一边放上那个a或者b
最后比较两组解哪个更满足题目的答案并输出即可。
附上AC代码
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Problem: 2142 User: hongtaozhy
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Memory: 288K Time: 0MS
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Language: G++ Result: Accepted
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Source Code
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#include<stdio.h>
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int x,y;
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void meiju(int a , int b , int d )
{
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x=0;y=0;
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while(1)
{
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if(a*x<b*y+d)
{
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if (y==0&&(d-a*x)%b==0)
{
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y=(d-a*x)/b;
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break;
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}
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x++;
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continue ;
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}
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if(a*x==b*y+d)
{
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break;
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}
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else
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y++;
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}
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}
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int main()
{
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int a , b , d;
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int xx,yy;
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while(scanf("%d%d%d",&a,&b,&d)&&a&&b&&d)
{
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meiju(a,b,d);
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xx=x;yy=y;
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// printf("1:%d %d\n",x,y);
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meiju(b,a,d);
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// printf("2:%d %d\n",y,x);
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if(x+y<xx+yy)
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printf("%d %d\n",y,x);
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else
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if((x+y==xx+yy)&&a*x+b*y<a*xx+b*yy)
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printf("%d %d\n",y,x);
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else
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printf("%d %d\n",xx,yy);
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}
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return 0;
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}
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