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;
using ll = long long;
const int N = 5e5 + 5;
const int M = 19;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int n;
cin >> n;
vector<int> a(n + 1);
for (int i = 1; i <= n; i++) {
char c;
cin >> c;
a[i] = 1 - 2 * (c == 'T');
}
vector<int> pre(n + 1), suf(n + 2);
for (int i = 1; i <= n; i++) {
pre[i] = pre[i - 1] + a[i];
}
for (int i = n; i; i--) {
suf[i] = suf[i + 1] + a[i];
}
vector<int> pos(2 * n + 5, n + 1);
vector<vector<int>> nxt(n + 2, vector<int>(M, n + 1));
for (int i = n; i >= 0; i--) {
int tar = pre[i] - 1 - (a[i] == 1);
nxt[i][0] = pos[tar + n + 2];
pos[pre[i] + n + 2] = i;
}
for (int j = 1; j < M; j++) {
for (int i = 0; i <= n; i++) {
nxt[i][j] = nxt[nxt[i][j - 1]][j - 1];
}
}
pos.assign(2 * n + 5, 0);
vector<vector<int>> prev(n + 2, vector<int>(M));
for (int i = 1; i <= n + 1; i++) {
int tar = suf[i] - 1 - (a[i] == 1);
prev[i][0] = pos[tar + n + 2];
pos[suf[i] + n + 2] = i;
}
for (int j = 1; j < M; j++) {
for (int i = 1; i <= n + 1; i++) {
prev[i][j] = prev[prev[i][j - 1]][j - 1];
}
}
auto get_l_info = [&](int l, int r) -> array<int, 2> {
if (a[l] == 1)
l = nxt[l][0];
int cnt = 0;
for (int i = M - 1; i >= 0; i--) {
if (nxt[l][i] <= r) {
l = nxt[l][i];
cnt += 1 << i;
}
}
return {l, cnt + (l <= r)};
};
auto get_r_info = [&](int l, int r) -> array<int, 2> {
if (a[r] == 1)
r = prev[r][0];
int cnt = 0;
for (int i = M - 1; i >= 0; i--) {
if (prev[r][i] >= l) {
r = prev[r][i];
cnt += 1 << i;
}
}
return {r, cnt + (l <= r)};
};
int q;
cin >> q;
while (q--) {
int l, r;
cin >> l >> r;
auto l1 = get_l_info(l, r);
auto r1 = get_r_info(l, r);
auto l2 = get_l_info(l, min(l1[0], r1[0]) - 1);
auto r2 = get_r_info(max(l1[0], r1[0]) + 1, r);
int ans = l2[1] + r2[1];
ans += max(l1[1] - l2[1], r1[1] - r2[1]);
cout << ans << "\n";
}
}
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