# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
64394 | Just_Solve_The_Problem | parentrises (BOI18_parentrises) | C++11 | 163 ms | 13408 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>
using namespace std;
#define pb push_back
#define sz(s) (int)s.size()
#define all(s) s.begin(), s.end()
const int N = (int)1e6 + 7;
const int inf = (int)1e9 + 7;
int b[N];
vector < int > stk;
int a[N];
int mod = (int)1e9 + 7;
bool solve1(string &s) {
a[0] = 1;
b[0] = ((s[0] == '(') ? 1 : -1);
for (int i = 1; i < sz(s); i++) {
b[i] = b[i - 1] + ((s[i] == '(') ? 1 : -1);
a[i] = 1;
}
int cur = 0;
stk.clear();
for (int i = 0; i < sz(s); i++) {
if (s[i] == ')') stk.pb(i);
if (b[i] + cur < 0) {
// cout << i << ' ' << b[i] + cur << ' ' << sz(stk) << endl;
while (b[i] + cur < 0 && sz(stk) > 1) {
a[stk.back()] = 0;
stk.pop_back();
a[stk.back()] = 2;
stk.pop_back();
cur++;
}
if (b[i] + cur < 0) {
return 0;
}
}
}
cur = 0;
stk.clear();
for (int i = 0; i < sz(s); i++) {
s[i] = ((s[i] == '(') ? ')' : '(');
}
reverse(all(s));
b[0] = ((s[0] == '(') ? 1 : -1);
for (int i = 1; i < sz(s); i++) {
b[i] = b[i - 1] + ((s[i] == '(') ? 1 : -1);
}
for (int i = 0; i < sz(s); i++) {
if (a[sz(s) - i - 1] == 2) continue;
if (s[i] == ')') stk.pb(i);
if (b[i] + cur < 0) {
// cout << i << ' ' << b[i] + cur << ' ' << sz(stk) << endl;
while (b[i] + cur < 0 && sz(stk) > 1) {
a[sz(s) - stk.back() - 1] = 0;
stk.pop_back();
a[sz(s) - stk.back() - 1] = 2;
stk.pop_back();
cur++;
}
if (b[i] + cur < 0) {
return 0;
}
}
}
stk.clear();
reverse(all(s));
for (int i = 0; i < sz(s); i++) {
s[i] = ((s[i] == '(') ? ')' : '(');
}
int b1 = 0;
int b2 = 0;
bool fl = 0;
for (int i = 0; i < sz(s); i++) {
if (a[i] <= 1) {
b1 += ((s[i] == '(') ? 1 : -1);
}
if (a[i] >= 1) {
b2 += ((s[i] == '(') ? 1 : -1);
}
fl |= (b1 < 0 || b2 < 0);
}
fl |= (b1 != 0 || b2 != 0);
if (fl) {
return 0;
}
return 1;
}
int n;
int add(int a, int b) {
return (a + b) % mod;
}
int dp[2][303][303];
int ans[303];
void solve2() {
dp[1][0][0] = 1;
for (int i = 0; i <= 300; i++) {
for (int j = 0; j <= i; j++) {
for (int k = 0; k <= j; k++) {
if (j * 2 < i - j) dp[1][j][k] = 0;
dp[0][j][k] = dp[1][j][k];
if (k == 0) ans[i] = add(ans[i], dp[0][j][k]);
}
}
memset(dp[1], 0, sizeof dp[1]);
for (int j = 0; j <= i; j++) {
for (int k = 0; k <= j; k++) {
dp[1][j + 1][k + 1] = add(dp[1][j + 1][k + 1], dp[0][j][k]);
dp[1][j][max(k - 2, 0)] = add(dp[1][j][max(k - 2, 0)], dp[0][j][k]);
}
}
}
}
main() {
int p = 1;
scanf("%d", &p);
int test;
scanf("%d", &test);
if (p == 1) {
while (test--) {
string s;
cin >> s;
if (solve1(s) == 0) {
puts("impossible");
} else {
for (int i = 0; i < sz(s); i++) {
if (a[i] == 0) printf("R");
else if (a[i] == 1) printf("G");
else printf("B");
}
puts("");
}
}
} else {
solve2();
while (test--) {
int x;
scanf("%d", &x);
printf("%d\n", ans[x]);
}
}
}
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