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;
const int MAXN = 500000 + 100;
int a[MAXN];
int sum[MAXN][3];
int type_last[MAXN][3];
int type_first[3];
bool can[2][MAXN];
map<char, int> cv = {{'r', 0}, {'s', 1}, {'p', 2}};
string solve_t0(int t, string s) {
int n = s.size();
for (int i = 0; i < n; ++i) {
a[i] = cv[s[i]];
}
for (int dir = 0; dir < 2; ++dir) {
sum[0][0] = sum[0][1] = sum[0][2] = 0;
type_first[0] = type_first[1] = type_first[2] = -1;
for (int i = 0; i < n; ++i) {
for (int k = 0; k < 3; ++k) {
sum[i + 1][k] = sum[i][k];
}
++sum[i + 1][a[i]];
if (type_first[a[i]] == -1) {
type_first[a[i]] = i;
}
}
for (int i = 0; i < n; ++i) {
can[dir][i] = 1;
if (sum[i][(a[i] + 2) % 3] > 0 && sum[i][(a[i] + 1) % 3] == 0) {
can[dir][i] = 0;
}
}
reverse(a, a + n);
}
string ans;
for (int i = 0; i < n; ++i) {
if (can[0][i] && can[1][n - 1 - i]) {
ans.push_back('1');
} else {
ans.push_back('0');
}
}
return ans;
}
string solve_t1(int t, string s) {
int n = s.size();
for (int i = 0; i < n; ++i) {
a[i] = cv[s[i]];
}
for (int dir = 0; dir < 2; ++dir) {
sum[0][0] = sum[0][1] = sum[0][2] = 0;
type_first[0] = type_first[1] = type_first[2] = -1;
type_last[0][0] = type_last[0][1] = type_last[0][2] = -1;
for (int i = 0; i < n; ++i) {
for (int k = 0; k < 3; ++k) {
sum[i + 1][k] = sum[i][k];
type_last[i + 1][k] = type_last[i][k];
}
++sum[i + 1][a[i]];
type_last[i + 1][a[i]] = i;
if (type_first[a[i]] == -1) {
type_first[a[i]] = i;
}
}
for (int i = 0; i < n; ++i) {
can[dir][i] = 1;
int zero = a[i];
int one = (a[i] + 1) % 3;
int two = (a[i] + 2) % 3;
if (sum[i][two] > 0 && sum[i][one] == 0) {
can[dir][i] = 0;
continue;
}
if (sum[i][zero] > 0 && sum[i][two] == 0) {
can[dir][i] = 0;
continue;
}
if (type_first[one] == -1 || type_first[one] >= i) {
if (sum[i][zero] + sum[i][two] > 0) {
can[dir][i] = 0;
}
continue;
} else {
int pos = type_first[one];
int pos1 = type_last[i][one];
if (sum[pos][zero] > 0 && sum[pos][two] == 0) {
can[dir][i] = 0;
continue;
}
if ((sum[i][two] - sum[pos + 1][two] > 0)
|| (sum[i][zero] - sum[pos + 1][zero] == 0)) {
//allright
} else {
if ((sum[pos1][two] > 0 || sum[pos1][zero] == 0)
&& ((sum[i][two] - sum[pos1 + 1][two] > 0)
|| (sum[i][zero] - sum[pos1 + 1][zero] == 0))) {
//allright
} else {
can[dir][i] = 0;
continue;
}
}
}
}
}
string ans;
for (int i = 0; i < n; ++i) {
if (can[0][i] && can[1][n - 1 - i]) {
ans.push_back('1');
} else {
ans.push_back('0');
}
}
return ans;
}
string solve(int t, string s) {
if (t == 0) {
return solve_t0(t, s);
} else {
return solve_t1(t, s);
}
}
int main() {
int tests;
cin >> tests;
for (int i = 0; i < tests; ++i) {
int t;
cin >> t;
string s;
cin >> s;
cout << solve(t - 1, s) << '\n';
}
}
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