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 nl "\n"
#define no "NO"
#define yes "YES"
#define fi first
#define se second
#define vec vector
#define task "main"
#define _mp make_pair
#define ii pair<int, int>
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define evoid(val) return void(std::cout << val)
#define FOR(i, a, b) for(int i = (a); i <= (b); ++i)
#define FOD(i, b, a) for(int i = (b); i >= (a); --i)
#define unq(x) sort(all(x)); x.resize(unique(all(x)) - x.begin())
using namespace std;
template<typename U, typename V> bool maxi(U &a, V b) {
if (a < b) { a = b; return 1; } return 0;
}
template<typename U, typename V> bool mini(U &a, V b) {
if (a > b) { a = b; return 1; } return 0;
}
const int N = (int)2e5 + 9;
const int mod = (int)1e9 + 7;
void prepare(); void main_code();
int main() {
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if (fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
const bool MULTITEST = 0; prepare();
int num_test = 1; if (MULTITEST) cin >> num_test;
while (num_test--) { main_code(); }
}
void prepare() {};
int dir[N], p[N];
vector<int> pos[26];
template<typename T>
struct fenwick {
int n; vector<T> bit; bool up = 0;
fenwick() {};
fenwick(int _n, bool _up) { n = _n; bit.resize(n + 7); up = _up; }
void upd(int id, T val) {
if (up) for(; id <= n; id += id & -id) bit[id] += val;
else for(; id > 0; id -= id & -id) bit[id] += val;
}
T get(int id) {
T ans = 0;
if (up) for(; id > 0; id -= id & -id) ans += bit[id];
else for(; id <= n; id += id & -id) ans += bit[id];
return ans;
}
};
void main_code() {
int n; cin >> n;
string s; cin >> s;
FOR(i, 0, sz(s) - 1) pos[s[i]-'a'].push_back(i);
long long ans = 0;
vec<int> cnt(2, 0);
FOR(i, 0, 25) {
int j = sz(pos[i]);
for(int t = 0; t < j; ++t) {
if (t < j / 2 and pos[i][t] >= n) {
++cnt[1]; // qua ben phai
dir[pos[i][t]] = 2;
}
if (t >= j / 2 and pos[i][t] < n) {
++cnt[0];
dir[pos[i][t]] = 1;
}
}
}
ans += 1LL * cnt[0] * cnt[1];
vector<int> p1, p2;
FOR(i, 0, sz(s) - 1) {
if (dir[i] != 1 and (i < n or dir[i] == 2))
p1.push_back(i);
else
p2.push_back(i);
}
int cx = 0;
FOR(i, 0, sz(p1) - 1) {
if (p1[i] >= n) {
ans += abs(p1[i] - n - cx);
++cx;
}
}
cx = 0;
FOD(i, sz(p2) - 1, 0) {
if (p2[i] < n) {
ans += abs(p2[i] - (n - 1 - cx));
++cx;
}
}
FOR(i, 0, 25) pos[i].clear();
FOR(i, 0, sz(p1) - 1) {
pos[s[p1[i]] - 'a'].push_back(i);
}
fenwick<int> bit(n, 0);
FOR(i, 0, 25) reverse(all(pos[i]));
FOR(i, 0, sz(p2) - 1) {
p[i] = pos[s[p2[i]] - 'a'].back();
pos[s[p2[i]] - 'a'].pop_back();
ans += bit.get(p[i] + 1);
bit.upd(p[i] + 1, 1);
}
cout << ans;
}
/* Let the river flows naturally */
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:36:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
36 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:37:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
37 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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