#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 1000001;
int P,T,dp[301][601][301];
void AD(int& a, int b) { a = (a+b)%MOD; }
void gen() {
dp[0][0][0] = 1;
F0R(i,300) F0R(j,601) F0R(k,301) {
if (j+2 < 601 && k+1 < 301) AD(dp[i+1][j+2][k+1],dp[i][j][k]);
if (j-1 >= 0) AD(dp[i+1][j-1][max(k-2,0)],dp[i][j][k]);
}
}
int num[MX];
string solve1(string s) {
vi a, b;
F0R(i,sz(s)) {
if (s[i] == '(') a.pb(i);
else b.pb(i);
}
int dif = sz(a)-sz(b);
int i0 = max(-dif,0), i1 = max(dif,0);
while (i0 < sz(a) && sz(b)-1-i1 >= 0 && a[i0] < b[sz(b)-1-i1]) i0 ++, i1 ++;
if (i0 > sz(a) || i1 > sz(b)) return "impossible";
for (int i: a) num[i] = 1;
F0R(i,i0) num[a[i]] = 2;
for (int i: b) num[i] = -1;
F0R(i,i1) num[b[sz(b)-1-i]] = -2;
/*cout << s << "\n";
F0R(i,sz(s)) cout << num[i] << " ";
cout << "\n";*/
pi cur = {0,0};
string res;
F0R(i,sz(s)) {
if (num[i] == 2) {
cur.f ++, cur.s ++;
res += 'G';
} else if (num[i] == -2) {
cur.f --, cur.s --;
res += 'G';
if (cur.s < 0) return "impossible";
} else if (num[i] == 1) {
if (cur.f > cur.s) cur.s ++, res += 'B';
else cur.f ++, res += 'R';
} else {
if (cur.f > cur.s) cur.f --, res += 'R';
else cur.s --, res += 'B';
if (cur.s < 0) return "impossible";
}
}
if (cur != mp(0,0)) return "impossible";
return res;
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> P >> T;
if (P == 1) {
F0R(i,T) {
string s; cin >> s;
cout << solve1(s) << "\n";
}
} else {
gen();
F0R(i,T) {
int x; cin >> x;
int ans = 0;
F0R(i,601) AD(ans,dp[x][i][0]);
cout << ans << "\n";
}
}
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
248 KB |
Output is correct |
2 |
Correct |
3 ms |
484 KB |
Output is correct |
3 |
Correct |
3 ms |
484 KB |
Output is correct |
4 |
Correct |
2 ms |
484 KB |
Output is correct |
5 |
Correct |
3 ms |
508 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
588 KB |
Output is correct |
2 |
Correct |
2 ms |
712 KB |
Output is correct |
3 |
Correct |
3 ms |
712 KB |
Output is correct |
4 |
Correct |
3 ms |
712 KB |
Output is correct |
5 |
Correct |
2 ms |
712 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
588 KB |
Output is correct |
2 |
Correct |
2 ms |
712 KB |
Output is correct |
3 |
Correct |
3 ms |
712 KB |
Output is correct |
4 |
Correct |
3 ms |
712 KB |
Output is correct |
5 |
Correct |
2 ms |
712 KB |
Output is correct |
6 |
Correct |
3 ms |
712 KB |
Output is correct |
7 |
Correct |
3 ms |
712 KB |
Output is correct |
8 |
Correct |
2 ms |
712 KB |
Output is correct |
9 |
Correct |
3 ms |
712 KB |
Output is correct |
10 |
Correct |
3 ms |
712 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
588 KB |
Output is correct |
2 |
Correct |
2 ms |
712 KB |
Output is correct |
3 |
Correct |
3 ms |
712 KB |
Output is correct |
4 |
Correct |
3 ms |
712 KB |
Output is correct |
5 |
Correct |
2 ms |
712 KB |
Output is correct |
6 |
Correct |
3 ms |
712 KB |
Output is correct |
7 |
Correct |
3 ms |
712 KB |
Output is correct |
8 |
Correct |
2 ms |
712 KB |
Output is correct |
9 |
Correct |
3 ms |
712 KB |
Output is correct |
10 |
Correct |
3 ms |
712 KB |
Output is correct |
11 |
Correct |
4 ms |
712 KB |
Output is correct |
12 |
Correct |
3 ms |
748 KB |
Output is correct |
13 |
Correct |
4 ms |
748 KB |
Output is correct |
14 |
Correct |
2 ms |
748 KB |
Output is correct |
15 |
Correct |
3 ms |
796 KB |
Output is correct |
16 |
Correct |
9 ms |
796 KB |
Output is correct |
17 |
Correct |
6 ms |
1832 KB |
Output is correct |
18 |
Correct |
4 ms |
1832 KB |
Output is correct |
19 |
Correct |
6 ms |
1832 KB |
Output is correct |
20 |
Correct |
7 ms |
1832 KB |
Output is correct |
21 |
Correct |
72 ms |
1832 KB |
Output is correct |
22 |
Correct |
42 ms |
13372 KB |
Output is correct |
23 |
Correct |
26 ms |
13372 KB |
Output is correct |
24 |
Correct |
34 ms |
13372 KB |
Output is correct |
25 |
Correct |
39 ms |
13372 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
619 ms |
213208 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
619 ms |
213208 KB |
Output is correct |
2 |
Correct |
649 ms |
213208 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
619 ms |
213208 KB |
Output is correct |
2 |
Correct |
649 ms |
213208 KB |
Output is correct |
3 |
Correct |
750 ms |
213208 KB |
Output is correct |