This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
// #include <atcoder/all>
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define blt(x) __builtin_popcount(x)
#define uniq(x) x.resize(unique(all(x)) - x.begin());
// #define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
#define ll long long
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
void print(long double t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T> void print(T v[],T n) {cerr << "["; for(int i = 0; i < n; i++) {cerr << v[i] << " ";} cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for random generations
mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
// mt19937 myrand(131);
// for grid problems
int dx[8] = {1,0,-1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
char ch[4] = {'v', '>', '^', '<'};
long long ka() {
long long x = 0;
bool z = false;
while (1)
{
char y = getchar();
if (y == '-')
z = true;
else if ('0' <= y && y <= '9')
x = x * 10 + y - '0';
else
{
if (z)
x *= -1;
return x;
}
}
}
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if (str != "") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
} else if(str == "input") {
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const long long mod = 1e9 + 7;
const int N = 105;
long long dp[N][2 * N + 2][2 * N + 2];
long long add(long long a, long long b) {
return (a + b) % mod;
}
long long mult(long long a, long long b) {
return (a * b) % mod;
}
long long sub(long long a, long long b) {
return (a - b + 2 * mod) % mod;
}
bool check(string s) {
int n = sz(s);
string ans(n, '.');
int a = 0, b = 0;
int ok = 1;
for(int i = 0; i < n; i++) {
if(s[i] == '(') {
a++, b++;
ans[i] = 'G';
} else {
if(a > b) {
a--;
ans[i] = 'R';
} else {
b--;
ans[i] = 'B';
}
}
if(a < 0 || b < 0) {
ok = 0;
break;
}
}
int mn_a = a, mn_b = b;
if(mn_a || mn_b) {
for(int i = n - 1; i >= 0; i--) {
int wh = 0;
if(ans[i] == 'G') {
if(mn_a > mn_b) {
ans[i] = 'B';
mn_a--;
} else {
mn_b--;
ans[i] = 'R';
}
} else {
if(ans[i] == 'R' && mn_b) {
mn_b--;
ans[i] = 'G';
} else if(ans[i] == 'B' && mn_a) {
mn_a--;
ans[i] = 'G';
}
}
if(mn_a == 0 && mn_b == 0) {
break;
}
}
a = 0, b = 0;
for(int i = 0; i < n; i++) {
if(ans[i] == 'G') {
if(s[i] == '(') {
a++, b++;
} else {
a--, b--;
}
} else if(ans[i] == 'R') {
if(s[i] == '(') {
a++;
} else {
a--;
}
} else {
if(s[i] == '(') {
b++;
} else {
b--;
}
}
if(a < 0 || b < 0) {
ok = 0;
}
}
if(a != 0 || b != 0) {
ok = 0;
}
}
if(!ok) {
return false;
} else {
return true;
}
}
vector<long long> pte = {0,1,2,2,6,12,18,43,86,148,326,652,1194,2531,5062};
void solve_() {
int t; cin >> t;
if(t == 1) {
int q; cin >> q;
while(q--) {
string s; cin >> s;
int n = sz(s);
int a = 0, b = 0;
string ans(n, '.');
int ok = 1;
for(int i = 0; i < n; i++) {
if(s[i] == '(') {
a++, b++;
ans[i] = 'G';
} else {
if(a > b) {
a--;
ans[i] = 'R';
} else {
b--;
ans[i] = 'B';
}
}
if(a < 0 || b < 0) {
ok = 0;
break;
}
}
int mn_a = a, mn_b = b;
if(mn_a || mn_b) {
for(int i = n - 1; i >= 0; i--) {
int wh = 0;
if(ans[i] == 'G') {
if(mn_a > mn_b) {
ans[i] = 'B';
mn_a--;
} else {
mn_b--;
ans[i] = 'R';
}
} else {
if(ans[i] == 'R' && mn_b) {
mn_b--;
ans[i] = 'G';
} else if(ans[i] == 'B' && mn_a) {
mn_a--;
ans[i] = 'G';
}
}
if(mn_a == 0 && mn_b == 0) {
break;
}
}
a = 0, b = 0;
for(int i = 0; i < n; i++) {
if(ans[i] == 'G') {
if(s[i] == '(') {
a++, b++;
} else {
a--, b--;
}
} else if(ans[i] == 'R') {
if(s[i] == '(') {
a++;
} else {
a--;
}
} else {
if(s[i] == '(') {
b++;
} else {
b--;
}
}
if(a < 0 || b < 0) {
ok = 0;
}
}
if(a != 0 || b != 0) {
ok = 0;
}
}
if(!ok) {
cout << "impossible" << '\n';
} else {
cout << ans << '\n';
}
}
} else {
int q; cin >> q;
while(q--){
int n; cin >> n;
cout << pte[n - 1] << '\n';
}
}
}
int main() {
setIO();
// vector<long long> dp(32);
// for(int i = 1; i <= 15; i++) {
// dbg(i)
// for(int mask = 0; mask < (1 << i); mask++) {
// string si = "";
// for(int j = 0; j < i; j++) {
// if(mask & (1 << j)) {
// si += ")";
// } else {
// si += "(";
// }
// }
// dp[i] += check(si);
// }
// }
// cout << "{";
// for(int i = 1; i <= 15; i++) {
// cout << dp[i] << ",";
// }
// cout << "}";
// cout << endl;
// exit(0);
auto solve = [&](int test_case)-> void {
while(test_case--) {
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
Compilation message (stderr)
parentrises.cpp: In function 'bool check(std::string)':
parentrises.cpp:145:11: warning: unused variable 'wh' [-Wunused-variable]
145 | int wh = 0;
| ^~
parentrises.cpp: In function 'void solve_()':
parentrises.cpp:245:15: warning: unused variable 'wh' [-Wunused-variable]
245 | int wh = 0;
| ^~
parentrises.cpp: In function 'void setIO(std::string)':
parentrises.cpp:90:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
90 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
parentrises.cpp:91:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
91 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
parentrises.cpp:93:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
93 | freopen("input.txt", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
parentrises.cpp:94:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
94 | freopen("output.txt", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
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