POJ1068
2016-05-27 22:58
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日常刷水题
Parencodings
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.
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
Sample Output
#include <iostream>
using namespace std;
int a[10000],b[10000],l;
void huanyuan(){
int i,j,k=0;
for(i=0;i<a[0];i++){
b[k]=1;
k++;
}
b[k]=2;
k++;
for(i=1;i<l;i++){
if(a[i]==a[i-1]){
b[k]=2;
k++;
}
else{
for(j=0;j<a[i]-a[i-1];j++){
b[k]=1;
k++;
}
b[k]=2;
k++;
}
}
/*for(i=0;i<l*2;i++){
if(b[i]==1)
cout<<"(";
else
cout<<")";
}*/
}
void jisuan(){
int i,j,k,m;
for(i=0;i<l*2;i++){
if(b[i]==2){
k=1;
m=0;
for(j=i-1;j>=0;j--){
if(b[j]==1){
k--;
m++;
}
else{
k++;
}
if(k==0)
break;
}
cout<<m<<" ";
}
}
cout<<endl;
}
int main(){
int n,i,k=0;
cin>>n;
while(n>0){
n--;
cin>>l;
for(i=0;i<l;i++)
cin>>a[i];
huanyuan();
jisuan();
}
return 0;
}
Parencodings
Time Limit: 1000MS | Memory Limit: 10000K | |
Total Submissions: 24313 | Accepted: 14277 |
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
#include <iostream>
using namespace std;
int a[10000],b[10000],l;
void huanyuan(){
int i,j,k=0;
for(i=0;i<a[0];i++){
b[k]=1;
k++;
}
b[k]=2;
k++;
for(i=1;i<l;i++){
if(a[i]==a[i-1]){
b[k]=2;
k++;
}
else{
for(j=0;j<a[i]-a[i-1];j++){
b[k]=1;
k++;
}
b[k]=2;
k++;
}
}
/*for(i=0;i<l*2;i++){
if(b[i]==1)
cout<<"(";
else
cout<<")";
}*/
}
void jisuan(){
int i,j,k,m;
for(i=0;i<l*2;i++){
if(b[i]==2){
k=1;
m=0;
for(j=i-1;j>=0;j--){
if(b[j]==1){
k--;
m++;
}
else{
k++;
}
if(k==0)
break;
}
cout<<m<<" ";
}
}
cout<<endl;
}
int main(){
int n,i,k=0;
cin>>n;
while(n>0){
n--;
cin>>l;
for(i=0;i<l;i++)
cin>>a[i];
huanyuan();
jisuan();
}
return 0;
}
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