#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define sz(v) (int)v.size()
#define all(v) v.begin(), v.end()
#define filter(v) v.resize(unique(all(v)) - v.begin())
#define dbg(x) "[" #x " = " << (x) << "]"
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template<typename T> bool maximize(T &a, T b) {
if(a < b) {
a = b;
return true;
}else return false;
}
template<typename T> bool minimize(T &a, T b) {
if(a > b) {
a = b;
return true;
}else return false;
}
template<typename T> T random_int(T a, T b) {
return uniform_int_distribution<T>(a, b)(rng);
}
typedef long long ll;
typedef pair<int, int> ii;
typedef pair<ll, int> li;
const int N = 2e5 + 3;
int n;
char c[N];
namespace bruteforce {
void solve() {
int best = 0;
for(int mask = 0; mask < (1 << n); mask++) {
int answer = 0;
ii lastOne = {-1, -1}, lastTwo = {-1, -1};
for(int i = 0; i < n; i++) {
char current = c[i + 1];
if(mask >> i & 1) {
if(lastOne.first == -1 && lastOne.second == -1) {
answer++;
lastOne.first = i;
}else if(lastOne.second == -1) {
answer += (c[lastOne.first + 1] == current ? 1 : 2);
lastOne.second = lastOne.first;
lastOne.first = i;
}else {
if(c[lastOne.first + 1] != c[lastOne.second + 1] && c[lastOne.first + 1] != current && c[lastOne.second + 1] != current)
answer += 3;
else if(c[lastOne.first + 1] == c[lastOne.second + 1] && c[lastOne.first + 1] == current)
answer += 1;
else answer += 2;
lastOne.second = lastOne.first;
lastOne.first = i;
}
}else {
if(lastTwo.first == -1 && lastTwo.second == -1) {
answer++;
lastTwo.first = i;
}else if(lastTwo.second == -1) {
answer += (c[lastTwo.first + 1] == current ? 1 : 2);
lastTwo.second = lastTwo.first;
lastTwo.first = i;
}else {
if(c[lastTwo.first + 1] != c[lastTwo.second + 1] && c[lastTwo.first + 1] != current && c[lastTwo.second + 1] != current)
answer += 3;
else if(c[lastTwo.first + 1] == c[lastTwo.second + 1] && c[lastTwo.first + 1] == current)
answer += 1;
else answer += 2;
lastTwo.second = lastTwo.first;
lastTwo.first = i;
}
}
}
maximize(best, answer);
// if(answer == 26) {
// for(int j = 0; j < n; j++) {
// cout << (mask >> j & 1);
// }
// cout << endl;
// }
}
cout << best << endl;
}
}
namespace solution {
int a[N];
int dp[N][4][4][4][4];
int cost(int x, int y, int z) {
if(y == 0 && z == 0) return 1;
else if(z == 0) return (x == y ? 1 : 2);
else {
if(x == y && x == z) return 1;
else if(x != y && x != z && y != z) return 3;
else return 2;
}
}
void solve() {
for(int i = 1; i <= n; i++) {
if(c[i] == 'M') a[i] = 1;
if(c[i] == 'F') a[i] = 2;
if(c[i] == 'B') a[i] = 3;
}
for(int i = 0; i <= n; i++) for(int x = 0; x <= 3; x++) for(int y = 0; y <= 3; y++) for(int u = 0; u <= 3; u++) for(int v = 0; v <= 3; v++) {
dp[i][x][y][u][v] = INT_MIN;
}
dp[0][0][0][0][0] = 0;
for(int i = 0; i < n; i++) {
for(int x = 0; x <= 3; x++) {
for(int y = 0; y <= 3; y++) {
for(int u = 0; u <= 3; u++) {
for(int v = 0; v <= 3; v++) {
if(dp[i][x][y][u][v] == INT_MIN) continue;
// add i + 1 into mine 1
maximize(dp[i + 1][a[i + 1]][x][u][v], dp[i][x][y][u][v] + cost(a[i + 1], x, y));
// add i + 1 into mine 2
maximize(dp[i + 1][x][y][a[i + 1]][u], dp[i][x][y][u][v] + cost(a[i + 1], u, v));
}
}
}
}
}
int best = 0;
for(int x = 0; x <= 3; x++) for(int y = 0; y <= 3; y++) for(int u = 0; u <= 3; u++) for(int v = 0; v <= 3; v++) {
maximize(best, dp[n][x][y][u][v]);
}
cout << best << endl;
}
}
void process() {
// if(n <= 20) return bruteforce::solve(), void();
return solution::solve(), void();
assert(false);
}
void input() {
cin >> n;
for(int i = 1; i <= n; i++) {
cin >> c[i];
}
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
#define task "MINERS"
if(fopen(task".inp", "r")) {
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int testcase = 1; // cin >> testcase;
for(int i = 1; i <= testcase; i++) {
input();
process();
}
cerr << "Saa, watashtachi no deito hajimemashou" << endl;
return 0;
}
/*
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*/
Compilation message (stderr)
miners.cpp: In function 'int main()':
miners.cpp:172:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
172 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
miners.cpp:173:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
173 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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