POJ - 1068 Parencodings

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

将输入的P序列再模拟回括号(这里用01表示),再读出W序列
 1 #include<iostream>
 2 #include<stdio.h>
 3 #include<string.h>
 4 
 5 using namespace std;
 6 
 7 int c[45];
 8 int p[25],w[25];
 9 
10 int main()
11 {
12     int T,n,s1,s2;
13     scanf("%d",&T);
14     while(T--)
15     {
16         memset(c,0,sizeof(c));
17         memset(p,0,sizeof(p));
18         memset(w,0,sizeof(w));
19         s1=s2=0;
20         scanf("%d",&n);
21         for(int i=0;i<n;i++)
22             scanf("%d",&p[i]);
23         for(int i=0;i<n;i++)
24         {
25             for(int j=s2;j<p[i]-s1+s2;j++)
26                 c[j]=0;
27             s2+=p[i]-s1;
28             s1=p[i];
29             c[s2++]=1;
30         }
31         n=0;
32     /*    for(int i=0;i<40;i++)
33             cout<<c[i];*/
34         for(int i=0;i<40;i++)
35         {
36             if(c[i])
37             {
38                 //cout<<i<<" ";
39                 s1=s2=1;
40                 for(int j=i-1;j>=0;j--)    
41                 {
42                     if(c[j])
43                     {
44                         s1++;
45                         s2++;
46                     }    
47                         else
48                             s1--;
49                     if(!s1)
50                     {
51                         w[n++]=s2;
52                         break;
53                     }
54                 }
55             }
56         }
57         for(int i=0;i<n;i++)
58             printf("%d ",w[i]);
59         printf("\n");
60     }
61     
62     
63     return 0;
64 }

 

posted @ 2017-08-01 16:51  西北会法语  阅读(95)  评论(0编辑  收藏  举报