# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
365530 | lookcook | parentrises (BOI18_parentrises) | C++17 | 65 ms | 4360 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define int long long
using namespace std;
const int maxn = 1000005;
char res[maxn];
char s[maxn];
int n;
bool subtask1(bool type) {
bool ok = true;
bool turn = true;
int sr = 0;
int sb = 0;
for (int i = 0; i < n; i++) {
if (s[i] == '(') {
res[i] = 'G';
sr++;
sb++;
} else {
if (turn) {
res[i] = 'R';
sr--;
} else {
res[i] = 'B';
sb--;
}
turn = !turn;
}
if (sr < 0 || sb < 0) ok = false;
}
if (sb>sr) {
for (int i = n-1; i >= 0; i--) {
if (s[i] == '(') {
res[i] = 'R';
break;
}
if (s[i] == ')' && res[i] == 'R') {
res[i] = 'G';
break;
}
}
}
sr = 0;
sb = 0;
for (int i = 0; i < n; i++) {
if (s[i] == ')') {
if (res[i] == 'G') {
sr--;
sb--;
}
if (res[i] == 'R') sr--;
if (res[i] == 'B') sb--;
} else {
if (res[i] == 'G') {
sr++;
sb++;
}
if (res[i] == 'R') sr++;
if (res[i] == 'B') sb++;
}
if (sr < 0 || sb < 0) ok = false;
}
for (int i =n-1; i >= 0; i--) {
if (s[i] == '(' && res[i] == 'G') {
if (sr>=sb && sr>0) { // maybe swap order?
sr--;
res[i] = 'B';
} else if (sb > 0) {
sb--;
res[i] = 'R';
}
}
if (s[i] == ')') {
if (res[i] == 'R' && sb>0) {
res[i] = 'G';
sb--;
} else if (res[i] == 'B' && sr>0) {
res[i] = 'G';
sr--;
}
}
}
sr = 0;
sb = 0;
for (int i = 0; i < n; i++) {
if (s[i] == ')') {
if (res[i] == 'G') {
sr--;
sb--;
}
if (res[i] == 'R') sr--;
if (res[i] == 'B') sb--;
} else {
if (res[i] == 'G') {
sr++;
sb++;
}
if (res[i] == 'R') sr++;
if (res[i] == 'B') sb++;
}
if (sr < 0 || sb < 0) ok = false;
}
if (type) {
if (ok && sr == 0 && sb == 0) {
for (int i = 0; i < n; i++) cout << res[i];
cout << '\n';
} else {
cout << "impossible\n";
}
} else {
return ok&&sr==0&&sb==0;
}
return false;
}
int dp[31];
void brute(int pos) {
if (pos == n) {
if (subtask1(false)) {
dp[pos]++;
}
return;
}
s[pos] = '(';
brute(pos+1);
s[pos] = ')';
brute(pos+1);
}
void lmao() {
dp[1] = 0;
dp[2] = 1;
dp[3] = 2;
dp[4] = 2;
dp[5] = 6;
dp[6] = 12;
dp[7] = 18;
dp[8] = 43;
dp[9] = 86;
dp[10] = 148;
dp[11] = 326;
dp[12] = 652;
dp[13] = 1194;
dp[14] = 2531;
dp[15] = 5062;
dp[16] = 9578;
dp[17] = 19884;
dp[18] = 39768;
dp[19] = 76680;
dp[20] = 157236;
dp[21] = 314472;
dp[22] = 613440;
dp[23] = 1248198;
dp[24] = 2496396;
dp[25] = 4906266;
dp[26] = 9932707;
dp[27] = 19865414;
dp[28] = 39237478;
dp[29] = 79165646;
dp[30] = 158331292;
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int p, t;
cin >> p >> t;
if (p == 1) {
while (t--) {
string str;
cin >> str;
n = str.length();
for (int i = 0; i < str.length(); i++) s[i] = str[i];
subtask1(true);
}
} else {
lmao();
while (t--) {
cin >> n;
cout << dp[n] << '\n';
}
}
}
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