String Matching

It‘s easy to tell if two words are identical - just check the letters. But how do you tell if two words are almost identical? And how close is "almost"? 

There are lots of techniques for approximate word matching. One is to determine the best substring match, which is the number of common letters when the words are compared letter-byletter. 

The key to this approach is that the words can overlap in any way. For example, consider the words CAPILLARY and MARSUPIAL. One way to compare them is to overlay them: 

CAPILLARY 
MARSUPIAL 

There is only one common letter (A). Better is the following overlay: 

CAPILLARY

     MARSUPIAL

with two common letters (A and R), but the best is: 

   CAPILLARY

MARSUPIAL

Which has three common letters (P, I and L). 

The approximation measure appx(word1, word2) for two words is given by: 
common letters * 2 
----------------------------- 
length(word1) + length(word2)
Thus, for this example, appx(CAPILLARY, MARSUPIAL) = 6 / (9 + 9) = 1/3. Obviously, for any word W appx(W, W) = 1, which is a nice property, while words with no common letters have an appx value of 0.

The input for your program will be a series of words, two per line, until the end-of-file flag of -1. 
Using the above technique, you are to calculate appx() for the pair of words on the line and print the result. 
The words will all be uppercase.

Print the value for appx() for each pair as a reduced fraction,Fractions reducing to zero or one should have no denominator.

CAR CART
TURKEY CHICKEN
MONEY POVERTY
ROUGH PESKY
A A
-1

appx(CAR,CART) = 6/7
appx(TURKEY,CHICKEN) = 4/13
appx(MONEY,POVERTY) = 1/3
appx(ROUGH,PESKY) = 0
appx(A,A) = 1

Pacific Northwest 1999

思路：

就是简单地 一个暴力遍历。

体会：

细节很重要，团队默契很重要。因为与队友的对题意理解的分歧，导致这道水题到最后愣是没有AC出来。虽说最后是我的理解正确，但是因为这个分歧，直接影响了团队配合的默契，还是要提高自身能力，提高团队配合力度。心向往之，行而不止。加油！

代码如下：

#include<stdio.h>
#include<string.h>
int gcd(int a,int b)
{
	return !b?a:gcd(b,a%b);
}
char a[1010],b[1010],temp[2022];
int main()
{
	int i,j,i1,j1;
	while(~scanf("%s",a),strcmp(a,"-1"))
	{
		scanf("%s",b);
		int len1=strlen(a);
		int len2=strlen(b);
		int max=0;
		for(i=0;i<len1;i++)
		{
			for(j=0;j<len2;j++)
			{
				int m=0;
				for(i1=i,j1=j;i1<len1&&j1<len2;i1++,j1++)
				{
					if(a[i1]==b[j1])
					++m;
				}
				if(max<m)
				max=m;
			}
		}
		if(max==0)
		printf("appx(%s,%s) = 0\n",a,b);
		else
		{
			int s;
			s=len1+len2;
			max*=2;
			if(s==(max))
			printf("appx(%s,%s) = 1\n",a,b);
			else
			{
				int f;
				f=gcd(s,max);
				printf("appx(%s,%s) = %d/%d\n",a,b,max/f,s/f);
			}
		}
	}	
	return 0;
}