poj 1068 Parencodings
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模拟的题型,基本难度不大,关键读懂题意:
对于给出的原括号串,存在两种数字密码串:
1.p序列:当出现匹配括号对时,从该括号对的右括号开始往左数,直到最前面的左括号数,就是pi的值。
2.w序列:当出现匹配括号对时,包含在该括号对中的所有右括号数(包括该括号对),就是wi的值。
题目的要求:对给出的p数字串,求出对应的s串。
串长限制均为20
提示:在处理括号序列时可以使用一个小技巧,把括号序列转化为01序列,左0右1,处理时比较方便
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
#include<stdio.h>#include<string.h>int main(){ int t,m,n,i,j,k; int a[40],b[40],c[40]; while(~scanf("%d",&t)) { while(t--) { memset(b,0,sizeof(b)); scanf("%d",&m); a[0]=0; c[0]=0; k=1; for(i=1; i<=m; i++) { scanf("%d",&a[i]); c[i]=a[i]; for(j=1; j<=a[i]-a[i-1]; j++) { b[k++]=0; } b[k++]=1; c[i]=c[i-1]+j; } for(i=1; i<=m; i++) { for(j=c[i]-1; j>=0; j--) { if(b[j]==0) { b[c[i]]++; b[j]=1; break; } else b[c[i]]++; } b[c[i]]--; } for(i=1; i<=m; i++) printf("%d ",(b[c[i]]+1)/2); printf("\n"); } } return 0;}这道题目竟然没调试一遍AC,主要步骤是先把运来的图像模拟出来然后找就行
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