#include <bits/stdc++.h>
// #include <tr2/dynamic_bitset>
using namespace std;
// using namespace tr2;
#pragma GCC optimize("O3,unroll-loops,Ofast")
//#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
const long double eps = 1e-9;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int randgen(int left, int right) {
return uniform_int_distribution<int>(left, right)(rng);
}
long long randgenll(long long left, long long right) {
return uniform_int_distribution<long long>(left, right)(rng);
}
typedef long long ll;
typedef long double ld;
const int mod = 1e9 + 7;
struct Mint
{
int val;
Mint(int x = 0)
{
val = x % mod;
}
Mint(long long x)
{
val = x % mod;
}
Mint operator+(Mint oth)
{
return val + oth.val;
}
Mint operator*(Mint oth)
{
return 1LL * val * oth.val;
}
Mint operator-(Mint oth)
{
return val - oth.val + mod;
}
Mint fp(Mint a, long long n){
Mint p = 1;
while(n){
if(n & 1){
p = p * a;
}
a = a * a;
n /= 2;
}
return p;
}
Mint operator/(Mint oth){
Mint invers = fp(oth, mod - 2);
return 1LL * val * invers.val;
}
friend ostream& operator << (ostream& os, const Mint& lol){
os << lol.val;
return os;
}
};
struct AINT{
vector<pair<ll,Mint>> aint;
vector<pair<ll,Mint>> lazy;
pair<ll,Mint> b;
AINT(int n){
b = {1e18,Mint(0)};
aint.assign(n * 4 + 1,make_pair(1e18,Mint(0)));
lazy.assign(n * 4 + 1, make_pair(1e18, Mint(0)));
}
void update(int v, int tl, int tr, int l, int r, pair<ll,Mint> val){
if(lazy[v].first != 1e18){
if(aint[v].first == lazy[v].first){
aint[v].second = aint[v].second + lazy[v].second;
}else if(aint[v].first > lazy[v].first) aint[v] = lazy[v];
if(tl != tr){
if(lazy[v * 2].first == lazy[v].first){
lazy[v * 2].second = lazy[v * 2].second + lazy[v].second;
}else if(lazy[v * 2].first > lazy[v].first) lazy[v * 2] = lazy[v];
if(lazy[v * 2 + 1].first == lazy[v].first){
lazy[v * 2 + 1].second = lazy[v * 2 + 1].second + lazy[v].second;
}else if(lazy[v * 2 + 1].first > lazy[v].first){
lazy[v * 2 + 1] = lazy[v];
}
}
lazy[v] = b;
}
if(l <= tl && r >= tr){
if(aint[v].first == val.first){
aint[v].second = aint[v].second + val.second;
}else if(aint[v].first > val.first){
aint[v] = val;
}
if(tl != tr){
if(lazy[v * 2].first == val.first){
lazy[v * 2].second = lazy[v * 2].second + val.second;
}else if(lazy[v * 2].first > val.first){
lazy[v * 2] = val;
}
if(lazy[v * 2 + 1].first == val.first){
lazy[v * 2 + 1].second = lazy[v * 2 + 1].second + val.second;
}else if(lazy[v * 2 + 1].first > val.first){
lazy[v * 2 + 1] = val;
}
}
return;
}
if(l > tr || r < tl) return;
int tm = (tl + tr) / 2;
update(v * 2, tl, tm, l,r , val);
update(v * 2 + 1, tm + 1, tr, l, r, val);
if(aint[v * 2].first == aint[v * 2 + 1].first){
aint[v] = aint[v * 2];
aint[v].second = aint[v].second + aint[v * 2 + 1].second;
}else{
if(aint[v * 2].first < aint[v * 2 + 1].first) aint[v] = aint[v * 2];
else aint[v] = aint[v * 2 + 1];
}
}
pair<ll,Mint> query(int v, int tl, int tr, int l, int r){
if(lazy[v].first != 1e18){
if(aint[v].first == lazy[v].first){
aint[v].second = aint[v].second + lazy[v].second;
}else if(aint[v].first > lazy[v].first) aint[v] = lazy[v];
if(tl != tr){
if(lazy[v * 2].first == lazy[v].first){
lazy[v * 2].second = lazy[v * 2].second + lazy[v].second;
}else if(lazy[v * 2].first > lazy[v].first) lazy[v * 2] = lazy[v];
if(lazy[v * 2 + 1].first == lazy[v].first){
lazy[v * 2 + 1].second = lazy[v * 2 + 1].second + lazy[v].second;
}else if(lazy[v * 2 + 1].first > lazy[v].first){
lazy[v * 2 + 1] = lazy[v];
}
}
lazy[v] = b;
}
if(l <= tl && r >= tr) return aint[v];
if(l > tr || r < tl) return make_pair(1e18,Mint(0));
int tm = (tl + tr) / 2;
pair<ll,Mint> p1 = query(v * 2, tl ,tm, l, r);
pair<ll,Mint> p2 = query(v * 2 + 1, tm + 1, tr, l,r);
if(p1.first == p2.first){
p1.second = p1.second + p2.second;
return p1;
}else if(p1.first < p2.first) return p1;
return p2;
// int tm = (tl + tr) / 2;
// if(l <= tl && r >= tr) return aint[v];
// if(l > tr || r < tl) return 0;
// return max(query(v * 2, tl, tm,l,r), query(v * 2 + 1, tm + 1, tr, l,r));
}
};
struct AIB{
vector<int> aib;
AIB(int n){
aib.assign(n + 1,0);
}
void update(int pos, int val){
for(; pos < aib.size(); pos += (pos & -pos)){
aib[pos] += val;
}
}
int query(int pos){
int pl = 0;
for(; pos > 0; pos -= (pos & -pos)) pl += aib[pos];
return pl;
}
};
int red = 1;
int c;
int ______________________________________________________________________________________________________________________________________________;
void solve(){
if(c == 1){
string s;
cin >> s;
int n = s.size();
s = '.' + s;
vector<int> stiva;
vector<int> color(n + 1);
for(int i = 1; i <= n; i++){
if(s[i] == ')'){
if(stiva.size() == 0){
color[i] = 2;
}else{
color[i] = 1;
stiva.pop_back();
}
}else{
color[i] =1 ;
stiva.push_back(i);
}
}
if(stiva.size()){
for(auto i : stiva){
color[i] = 2;
}
}
stiva.clear();
vector<int> stiva1;
for(int i = 1; i <= n; i++){
if(s[i] == ')'){
if(color[i] == 2){
if(stiva.size()){
color[stiva.back()] = 3;
stiva.pop_back();
}else{
cout << "impossible" << '\n';
return;
}
}else{
if(stiva1.size()){
color[i] =3;
stiva1.pop_back();
}
}
}else{
if(color[i] == 2){
stiva1.push_back(i);
}else{
stiva.push_back(i);
}
}
}
if(stiva1.size()){
cout << "impossible" << '\n';
return;
}
for(int i = 1; i <= n; i++){
if(color[i] == 1){
cout << 'R';
}else if(color[i] == 2){
cout << 'B';
}else cout << 'G';
}
cout << '\n';
}else{
}
}
int32_t main(){
cin.tie(0)->sync_with_stdio(0);
cin >> c;
int t = 1;
if(red) cin >> t;
while(t--){
solve();
}
}
/*
2 2 2 2 4
1 3 5
1 30
1 40
120 2
2 430
100 3
3 30
100 4
4 490
100 5
5 440
40 6
6 290
50 7
7 190
290 8
8 430
50 9
9 60
190 10
10 490
10
4 10 2
1 2 21
1 3 13
6 7 1
7 9 5
2 4 3
2 5 8
1 6 55
6 8 34
*/
Compilation message
parentrises.cpp: In member function 'void AIB::update(int, int)':
parentrises.cpp:176:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
176 | for(; pos < aib.size(); pos += (pos & -pos)){
| ~~~~^~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
464 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
464 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
336 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
464 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
336 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
2 ms |
472 KB |
Output is correct |
12 |
Correct |
1 ms |
540 KB |
Output is correct |
13 |
Correct |
2 ms |
336 KB |
Output is correct |
14 |
Correct |
1 ms |
336 KB |
Output is correct |
15 |
Correct |
2 ms |
592 KB |
Output is correct |
16 |
Correct |
4 ms |
592 KB |
Output is correct |
17 |
Correct |
5 ms |
1364 KB |
Output is correct |
18 |
Correct |
4 ms |
592 KB |
Output is correct |
19 |
Correct |
4 ms |
844 KB |
Output is correct |
20 |
Correct |
5 ms |
1356 KB |
Output is correct |
21 |
Correct |
28 ms |
2212 KB |
Output is correct |
22 |
Correct |
35 ms |
10264 KB |
Output is correct |
23 |
Correct |
23 ms |
3152 KB |
Output is correct |
24 |
Correct |
30 ms |
6072 KB |
Output is correct |
25 |
Correct |
41 ms |
10256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
336 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
336 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
336 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |