#include <bits/stdc++.h>
using namespace std;
int dp[305][305][305];
const int MOD = 1e9 + 7;
int rek(int at, int open, int closed){
if(at == 0){
if(closed == 0){
return 1;
}
return 0;
}
if(dp[at][open][closed] != -1){
return dp[at][open][closed];
}
int ret = 0;
ret += rek(at - 1, open + 2, closed + 1);
if(open > 0){
ret += rek(at - 1, open - 1, max(closed - 2, 0));
}
return dp[at][open][closed] = ret % MOD;
}
void solve(string s){
string ret = s;
for(int i = 0; i < s.size(); i ++){
ret[i] = '?';
}
stack<int> st;
int cnt = 0;
for(int i = 0; i < (int)s.size(); i ++){
if(s[i] == '('){
++cnt;
ret[i] = 'G';
}
else{
if(cnt == 0){
if(st.empty()) {
cout << "impossible\n";
return;
}
ret[st.top()] = 'R';
ret[i] = 'B';
st.pop();
}
else{
cnt --;
ret[i] = 'G';
st.push(i);
}
}
}
stack<int> st2;
cnt = 0;
for(int i = (int)s.size() - 1; i >= 0; i --){
if(s[i] == ')'){
++cnt;
}
else{
if(cnt == 0){
if(st2.empty()) {
cout << "impossible\n";
return;
}
ret[st2.top()] = 'B';
ret[i] = 'R';
st2.pop();
}
else{
cnt --;
st2.push(i);
}
}
}
cout << ret << endl;
}
int main()
{
ios_base::sync_with_stdio(false);
int t_case;
cin >> t_case;
if(t_case == 1){
int t;
cin >> t;
string s;
while(t --){
cin >> s;
solve(s);
}
}
else if(t_case == 2){
int t;
cin >> t;
memset(dp, -1, sizeof dp);
while(t --){
int n;
cin >> n;
cout << rek(n, 0, 0) << endl;
}
}
return 0;
}
Compilation message
parentrises.cpp: In function 'void solve(std::__cxx11::string)':
parentrises.cpp:25:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for(int i = 0; i < s.size(); i ++){
~~^~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
420 KB |
Output is correct |
5 |
Correct |
2 ms |
380 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
380 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
380 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
380 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
380 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
380 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
380 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
2 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
3 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
504 KB |
Output is correct |
13 |
Correct |
2 ms |
504 KB |
Output is correct |
14 |
Correct |
3 ms |
376 KB |
Output is correct |
15 |
Correct |
3 ms |
376 KB |
Output is correct |
16 |
Correct |
16 ms |
556 KB |
Output is correct |
17 |
Correct |
5 ms |
1272 KB |
Output is correct |
18 |
Correct |
3 ms |
632 KB |
Output is correct |
19 |
Correct |
4 ms |
760 KB |
Output is correct |
20 |
Correct |
4 ms |
1272 KB |
Output is correct |
21 |
Correct |
107 ms |
2140 KB |
Output is correct |
22 |
Correct |
25 ms |
9360 KB |
Output is correct |
23 |
Correct |
13 ms |
2668 KB |
Output is correct |
24 |
Correct |
22 ms |
5124 KB |
Output is correct |
25 |
Correct |
25 ms |
9360 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
88 ms |
111492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
88 ms |
111492 KB |
Output is correct |
2 |
Correct |
92 ms |
111352 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
88 ms |
111492 KB |
Output is correct |
2 |
Correct |
92 ms |
111352 KB |
Output is correct |
3 |
Correct |
239 ms |
111352 KB |
Output is correct |