设有n座山
,计算机与人为比赛的双方
,轮流搬山
。规定每次搬山的数止不能超 过k座,谁搬最后一座谁输
。游戏开始时。计算机请人输入山的总数(n)和每次允许搬山的最大数止(k)。然后请人开始,等人输入了需要搬走的山的数目后,计算机马上打印出它搬多少座山,并提示尚余多少座山。双方轮流搬山直到最后一座山搬完为止。计算机会显示谁是赢家,并问人是否要继续比赛。若人不想玩了,计算机便会统计出共玩了几局,双方胜负如何。
*问题分析与算法设计
计算机参加
游戏时应遵循下列原则:
1) 当:
剩余山数目-1<=可移动的最大数k 时计算机要移(剩余山数目-1)座,以便将最后一座山留给人。
2)对于任意正整数x,y,一定有:
0<=x%(y+1)<=y
在有n座山的情况下,计算机为了将最后一座山留给人,而且又要控制每次搬山的数目不超过最大数k,它应搬山的数目要满足下列关系:
(n-1)%(k+1)
如果算出结果为0,即整除无余数,则规定只搬1座山,以防止冒进后发生问题。
按照这样的规律,可编写出游戏程序如下:
#include
int main()
{
int n,k,x,y,cc,pc,g;
printf("More Mountain Game
");
printf("Game Begin
");
pc=cc=0;
g=1;
for(;;)
{
printf("No.%2d game
",g++);
printf("---------------------------------------
");
printf("How many mpuntains are there?");
scanf("%d",&n);
if(!n) break;
printf("How many mountains are allowed to each time?");
do{
scanf("%d",&k);
if(k>n||k<1) printf("Repeat again!
");
}while(k>n||k<1);
do{
printf("How many mountains do you wish movw away?");
scanf("%d",&x);
if(x<1||x>k||x>n) /*判断搬山数是否符合要求*/
{
printf("IIIegal,again please!
");
continue;
}
n-=x;
printf("There are %d mountains left now.
",n);
if(!n)
{
printf("...............I win. You are failure...............
");cc++;
}
else
{
y=(n-1)%(k+1); /*求出最佳搬山数*/
if(!y) y=1;
n-=y;
printf("Copmputer move %d mountains away.
",y);
if(n) printf(" There are %d mountains left now.
",n);
else
{
printf("...............I am failure. You win..................
");
pc++;
}
}
}while(n);
}
printf("Games in total have been played %d.
",cc+pc);
printf("You score is win %d,lose %d.
",pc,cc);
printf("My score is win %d,lose %d.
",cc,pc);
}