POJ 1068 Parencodings <模拟>
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Parencodings
Time Limit: 1000MS Memory Limit: 10000KTotal Submissions: 19352 Accepted: 11675
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 6666W-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
264 5 6 6 6 69 4 6 6 6 6 8 9 9 9
Sample Output
1 1 1 4 5 61 1 2 4 5 1 1 3 9
Source
Tehran 2001
题目大意:p代表,每一个右括号前有几个左括号,w代表每一个右括号和他前面的第几个括号匹配。
我们可以直接用数组来存,1代表左括号,0代表右括号,然后循环去找每一个右括号出现的位置前的左括号,如果这个左括号被使用过了
就标记为-1,下一个右括号匹配到这的时候步数加一即可
#include <iostream>#include <cstring>#include <stack>#include <cstdio>#include <cmath>#include <queue>#include <algorithm>#include <vector>#include <set>#include <map>const double eps=1e-8;const double PI=acos(-1.0);using namespace std;int main(){ int t; scanf("%d",&t); while(t--) { int n,a,a1=0; int s[50];//数字1代表左括号,0代表右括号; scanf("%d",&n); int j=0; for(int i=0; i<n; i++) { scanf("%d",&a); int tt=a-a1; while(tt--) { s[j++]=1; } a1=a; s[j++]=0; } int flag=0; /* for(int i=0; i<=2*n-1; i++) cout<<s[i]<<" "; cout<<endl;*/ for(int i=0; i<=2*n-1; i++) { if(s[i]==0) { int cou=1; for(int k=i-1; k>=0; k--) { if(s[k]==0)continue; if(s[k]==-1) cou++; else if(s[k]==1) { if(!flag) { printf("%d",cou); flag=1; } else printf(" %d",cou); s[k]=-1; break; } } } } printf("\n"); } return 0;}
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