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POJ 1068-Parencodings(模拟)

2024-10-27 17:50:02   208人阅读

Parencodings
Time Limit: 1000MS Memory Limit: 10000K
Total Submissions: 20444 Accepted: 12303

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

思路：b[i]表示第i和i+1个右括号之间有多少个括号，然后逐渐找和右括号匹配的左括号的位置。

#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <algorithm>
using namespace std;
int main()
{
        int T,n,i,j;
        int a[110],b[110],c[110];
        scanf("%d",&T);
        while(T--) {
                scanf("%d",&n);
                for(i=1; i<=n; i++) {
                        scanf("%d",&a[i]);
                }
                b[0]=a[1];
                for(i=1; i<n; i++) {
                        b[i]=a[i+1]-a[i];
                }
                for(i=1; i<=n; i++) {
                        for(j=i-1; j>=0; j--) {
                                if(b[j]>0) {
                                        b[j]--;
                                        break;
                                }
                        }
                        c[i]=i-j;
                }
                for(i=1; i<n; i++)
                        printf("%d ",c[i]);
                printf("%d\n",c[i]);
        }
        return 0;
}


POJ 1068-Parencodings(模拟)


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