This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Never stop trying
/*#pragma GCC target ("avx2")
#pragma GCC optimize ("Ofast")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")*/
#include "bits/stdc++.h"
using namespace std;
#define boost ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)
typedef long long ll;
typedef string str;
typedef double db;
typedef long double ld;
typedef pair<int, int> pi;
#define fi first
#define se second
typedef vector<int> vi;
typedef vector<pi> vpi;
typedef vector<str> vs;
typedef vector<ld> vd;
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define endl "\n"
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
const int MOD = 1e9 + 7; //998244353
const ll INF = 2e9;
const int MX = 2e5 + 10;
const int nx[4] = {0, 0, 1, -1}, ny[4] = {1, -1, 0, 0}; //right left down up
template<class T> using V = vector<T>;
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded up
//constexpr int log2(int x) { return 31 - __builtin_clz(x); } // floor(log2(x))
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
//mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());
ll random(ll a, ll b){
return a + rng() % (b - a + 1);
}
#ifndef LOCAL
#define cerr if(false) cerr
#endif
#define dbg(x) cerr << #x << " : " << x << endl;
#define dbgs(x,y) cerr << #x << " : " << x << " / " << #y << " : " << y << endl;
#define dbgv(v) cerr << #v << " : " << "[ "; for(auto it : v) cerr << it << ' '; cerr << ']' << endl;
#define here() cerr << "here" << endl;
void IO() {
#ifdef LOCAL
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
}
int N;
vi a;
int cnvrt(vi v){
vi cnt(4,0);
for(auto x: v) cnt[x]++;
int ans=0;
FOR(i,1,4) if(cnt[i]) ans++;
return ans;
}
int main() {
boost; IO();
str s;
cin>>N>>s;
for(auto x: s){
if(x=='M') a.pb(1);
else if(x=='F') a.pb(2);
else a.pb(3);
}
int v[4][4][4];
FOR(i,0,4) FOR(j,0,4) FOR(k,0,4) v[i][j][k]=cnvrt(vi{i,j,k});
int dp[4][4][4][4];
FOR(j,0,4) FOR(k,0,4) FOR(l,0,4) FOR(m,0,4) dp[j][k][l][m]=-INF;
dp[0][0][0][0]=0;
int ans=0;
FOR(i,0,N){
int nw[4][4][4][4];
FOR(j,0,4) FOR(k,0,4) FOR(l,0,4) FOR(m,0,4) nw[j][k][l][m]=-INF;
FOR(j,0,4) FOR(k,0,4){
if(k && !j) break;
FOR(l,0,4) FOR(m,0,4){
if(m && !l) break;
int n=a[i];
ckmax(nw[n][j][l][m],dp[j][k][l][m]+v[k][j][n]);
ckmax(nw[j][k][n][l],dp[j][k][l][m]+v[m][l][n]);
}
}
FOR(j,0,4) FOR(k,0,4) FOR(l,0,4) FOR(m,0,4){
dp[j][k][l][m]=nw[j][k][l][m];
ckmax(ans,dp[j][k][l][m]);
}
}
cout << ans << endl;
return 0;
}
/* Careful!!!
.Array bounds
.Infinite loops
.Uninitialized variables / empty containers
.Multisets are shit
Some insights:
.Binary search
.Graph representation
.Write brute force code
.Change your approach
*/
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