The programming design---The Triangle Game
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In the triangle game you start off with six triangles numbered on each edge,as in the example above.You can slideand rotate the triangles so they form a hexagon,but the hexagon is only legal if edges common to two triangles have the same number on them.You may not flip any triangle over.The score for a legal hexagon is to find the highest score that can be achieved with
any six particular triangles.
Input Specification
The input file will contain one or more data sets.Each data set is a sequence of six lines with three integers from 1 to 100 separated by blanks on each line.Each line contains the numbers on the triangles in clockwise orde.Data sets are sepatated by a line containing only an asterisk.The last data set is followed by a line containing only a dollar sign.
Output Specification
For each input data set,the output is a line containing only the word "none" if there are no legal hexagons or the highest score if there is a legal hexagon.
My program:
#include<stdio.h>
#include<iostream.h>
#include<string.h>
int score_highest=0; //the highest score of each set
int first=1; //first time output;
//decide the all triangles are use,if all use return false,else return true
bool usable(int use[])
{
int sum=0;
for(int i=0;i<6;i++)
{
sum+=use[i];
}
if(sum==6)
return false;
else
return true;
}
//loop depend integer n;
int circle(int i,int n)
{
if(i+n>2)
i+=n-3;
else
i+=n;
return i;
}
//clear file
void clearfile()
{
FILE *pt;
pt=fopen("output.txt","w");
fclose(pt);
}
/*
void print(int six[],int use[])
{
FILE *pt;
pt=fopen("output.txt","a");
int i;
for(i=0;i<6;i++)
fprintf(pt,"%d ",use[i]);
fprintf(pt,"/n");
for(i=0;i<18;i++)
fprintf(pt,"%d ",six[i]);
fprintf(pt,"/n");
fclose(pt);
}*/
//get the score
int score(int six[])
{
int i;
int sum=0;
for(i=1;i<17;i++)
{
sum+=six[i];
i+=2;
}
return sum;
}
//output
void mywrite(int n,int first)
{
FILE *pt;
pt=fopen("output.txt","a");
if(!first)
fprintf(pt,"/n");
if(n==0)
fprintf(pt,"None");
else
fprintf(pt,"%d",n);
fclose(pt);
}
//sort the triangle
void hexagon(int triangle[][3],int use[],int next,int six[],int index)
{
int i,j,temp;
if(!usable(use) && six[0]==six[17])
{
if(score_highest<score(six))
{
score_highest=score(six);
}
}
else
{
for(i=0;i<6;i++)
{
if(use[i]==0)
{
for(j=0;j<3;j++)
{
if(triangle[i][j]==next)
{
six[index++]=triangle[i][j];
six[index++]=triangle[i][circle(j,1)];
six[index++]=triangle[i][circle(j,2)];
use[i]=1;
temp=next;
next=triangle[i][circle(j,2)];
hexagon(triangle,use,next,six,index);
next=temp;
index-=3;
use[i]=0;
}
}
}
}
}
}
void main()
{
clearfile();
FILE *pt;
int triangle[6][3];//define the six triangles
int use[6]; //define the status of six triangles
int six[18]; //define the temp of hexagon
char temp[5];
int setNum; //define the num of sets
int index;
int i,j,k;
if(NULL==(pt=fopen("input.txt","r")))
{
cout<<"can't open input.txt"<<endl;
}
else
{
setNum=1;
while(fscanf(pt,"%s",temp)!=EOF)
{
if(temp[0]=='*')
setNum++;
}
rewind(pt);
for(k=0;k<setNum;k++)
{
memset(use,0,sizeof(use));
memset(six,0,sizeof(six));
score_highest=0;
for(i=0;i<6;i++)
{
for(j=0;j<3;j++)
{
fscanf(pt,"%d",&triangle[i][j]);
}
}
fscanf(pt,"%s",temp);
use[0]=1;
index=0;
for(i=0;i<3;i++)
{
six[index++]=triangle[0][i];
six[index++]=triangle[0][circle(i,1)];
six[index++]=triangle[0][circle(i,2)];
hexagon(triangle,use,six[index-1],six,index);
index-=3;
}
mywrite(score_highest,first);
first=0;
}
fclose(pt);
}
}
Input:
1 4 20
3 1 5
50 2 3
5 2 7
7 5 20
4 7 50
*
10 1 20
20 2 30
30 3 40
40 4 50
50 5 60
60 6 10
*
10 1 20
20 2 30
30 3 40
40 4 50
50 5 60
10 6 60
$
Output:
152
21
None