#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
const int N = 1e6 + 5, M = 305, MOD = 1e9 + 7;
int n, ans[N], dp[M][M * 2][M * 2], mark[N];
string s;
void solve() {
cin >> s;
n = s.size();
stack <int> open; while (!open.empty()) open.pop();
int balance = 0;
for (int i = 0; i < s.size(); ++i) {
if (s[i] == '(') {
balance++;
open.push(i);
ans[i] = 1;
} else {
balance--;
ans[i] = 1;
if (balance < 0) {
balance = 0;
ans[i] = 2;
if (open.empty()) {
cout << "impossible" << endl;
return;
}
int j = open.top(); open.pop();
ans[j] = 0;
}
}
}
while (!open.empty()) open.pop();
for (int i = 0; i < n; ++i) if (ans[i] == 0 || ans[i] == 1) {
if (s[i] == '(') {
open.push(i);
} else {
open.pop();
}
}
// for (int i = 0; i < n; ++i) {
// if (ans[i] == 0 || ans[i] == 1) cerr << s[i];
// } cerr << endl;
// for (int i = 0; i < n; ++i) {
// if (ans[i] == 0 || ans[i] == 2) cerr << s[i];
// } cerr << endl;
// cerr << balance << endl;
int pre = n - 1;
stack <int> close; while (!close.empty()) close.pop();
while (!open.empty()) {
if (balance == 0) break;
int i = open.top();
for (int j = pre; j > i; --j) if (s[j] == ')' && ans[j] == 1)
close.push(j);
pre = i;
open.pop();
if (close.empty()) {
continue;
}
balance--;
int j = close.top(); close.pop();
ans[i] = 2;
ans[j] = 0;
if (balance == 0) break;
}
if (balance != 0) {
cout << "impossible" << endl;
return;
}
for (int i = 0; i < n; ++i) {
if (ans[i] == 0) cout << 'G';
else if (ans[i] == 1) cout << 'R';
else cout << 'B';
}
cout << endl;
// cout << s << endl;
}
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0);
int p;
cin >> p;
if (p == 1) {
int tc;
cin >> tc;
while (tc--) {
solve();
}
} else {
dp[0][0][0]=1;
for(int i=0;i<M-1;i++){
for(int j=0;j<=2*i;j++){
for(int k=0;k<=2*i;k++){
dp[i+1][j+2][k+1]+=dp[i][j][k];
if(dp[i+1][j+2][k+1]>=MOD)dp[i+1][j+2][k+1]-=MOD;
if(j>0){
dp[i+1][j-1][max(k-2,0)]+=dp[i][j][k];
if(dp[i+1][j-1][max(k-2,0)]>=MOD)dp[i+1][j-1][max(k-2,0)]-=MOD;
}
}
}
}
int tc;
cin >> tc;
while (tc--) {
int d;
cin >> d;
int r = 0;
for (int j = 0; j <= 2 * d; ++j) {
(r += dp[d][j][0]) %= MOD;
}
cout << r << endl;
}
}
return 0;
}
Compilation message
parentrises.cpp: In function 'void solve()':
parentrises.cpp:15:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
15 | for (int i = 0; i < s.size(); ++i) {
| ~~^~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
0 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
492 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
492 KB |
Output is correct |
16 |
Correct |
4 ms |
492 KB |
Output is correct |
17 |
Correct |
6 ms |
1260 KB |
Output is correct |
18 |
Correct |
4 ms |
620 KB |
Output is correct |
19 |
Correct |
6 ms |
876 KB |
Output is correct |
20 |
Correct |
6 ms |
1260 KB |
Output is correct |
21 |
Correct |
34 ms |
2156 KB |
Output is correct |
22 |
Correct |
56 ms |
9352 KB |
Output is correct |
23 |
Correct |
45 ms |
2760 KB |
Output is correct |
24 |
Correct |
49 ms |
5140 KB |
Output is correct |
25 |
Correct |
55 ms |
9352 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
267 ms |
223768 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
267 ms |
223768 KB |
Output is correct |
2 |
Correct |
223 ms |
223724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
267 ms |
223768 KB |
Output is correct |
2 |
Correct |
223 ms |
223724 KB |
Output is correct |
3 |
Correct |
226 ms |
223724 KB |
Output is correct |