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:
Write a program to convert P-sequence of a well-formed string to the W-sequence of the same string.
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
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
View Code
#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(" ");*/ //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(" "); } return 0; }