POJ1068——模拟——Parencodings

Description

Let S = s1 s2...s2n be a well-formed string of parentheses. S can be encoded in two different ways: 
q By an integer sequence P = p1 p2...pn where pi is the number of left parentheses before the ith right parenthesis in S (P-sequence). 
q By an integer sequence W = w1 w2...wn where for each right parenthesis, say a in S, we associate an integer which is the number of right parentheses counting from the matched left parenthesis of a up to a. (W-sequence). 

Following is an example of the above encodings: 

	S		(((()()())))


	P-sequence	    4 5 6666


	W-sequence	    1 1 1456

Write a program to convert P-sequence of a well-formed string to the W-sequence of the same string. 

Input

The first line of the input contains a single integer t (1 <= t <= 10), the number of test cases, followed by the input data for each test case. The first line of each test case is an integer n (1 <= n <= 20), and the second line is the P-sequence of a well-formed string. It contains n positive integers, separated with blanks, representing the P-sequence.

Output

The output file consists of exactly t lines corresponding to test cases. For each test case, the output line should contain n integers describing the W-sequence of the string corresponding to its given P-sequence.

Sample Input

2

6

4 5 6 6 6 6

9 

4 6 6 6 6 8 9 9 9

Sample Output

1 1 1 4 5 6

1 1 2 4 5 1 1 3 9

Source

Tehran 2001

题意：括弧编码，模拟，将左括号看作-1，右括号看作1，然后搜为1的再向前找为1的值有几个，即右括号有几个，记录下来就是答案，详见代码

#include<stdio.h>

int main()

{

    int a[1000],b[10000],c[20000],i,j,n,m,k,e;

    scanf("%d",&n);

    for(e=1;e<=n;e++){

        scanf("%d",&m);

        for(j=0;j<m;j++)

            scanf("%d",&a[j]);

        //将左括号定义为-1右括号定义为1

        for(i=0;i<2*m;i++)

            b[i]=-1;

        for(i=0;i<m;i++){

            b[a[i]+i]=1;

          }

 

        /*for(i=0;i<2*m;i++)

            printf("%d ",b[i]);

        printf("\n");*/

        //找到为1的左边为-1的数大于1的数的那个值

        int p=0;

        for(i=0;i<2*m;i++){

        int count=0;int flag=0;

        if(b[i]==1){

 

                     for(k=i;k>0;k--){

                      flag=flag+b[k];

                       if(flag==0) break;

                       else if(b[k]==1) count++;}

 

 

                    c[p]=count;p++;

             }

           }

      for(i=0;i<p;i++)

        printf("%d ",c[i]);

        printf("\n");

    }

      return 0;

}

View Code