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 <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <bits/stdc++.h>
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define ff(i,a,b) for(int i=a;i<=b;i++)
#define fb(i,b,a) for(int i=b;i>=a;i--)
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef pair<int,int> pii;
const int maxn = 100005;
const int inf = 1e9 + 5;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
// os.order_of_key(k) the number of elements in the os less than k
// *os.find_by_order(k) print the k-th smallest number in os(0-based)
int n;
int niz[maxn];
string s;
int dp[4][4][4][4];
int pomdp[4][4][4][4];
int pom[4][4][4];
int calc(int x, int y, int z){
set<int> poms;
if(x)poms.insert(x);
if(y)poms.insert(y);
if(z)poms.insert(z);
return sz(poms);
}
int main()
{
ios::sync_with_stdio(false);
cout.tie(nullptr);
cin.tie(nullptr);
cin >> n >> s;
s = ' ' + s;
ff(i,1,n)niz[i] = (s[i] == 'M' ? 1 : (s[i] == 'B' ? 2 : 3));
ff(a,0,3)ff(b,0,3)ff(c,0,3)ff(d,0,3)dp[a][b][c][d] = -inf;
ff(a,0,3)ff(b,0,3)ff(c,0,3)pom[a][b][c] = calc(a, b, c);
dp[0][0][0][0] = 0;
ff(i,1,n){
ff(a,0,3)ff(b,0,3)ff(c,0,3)ff(d,0,3)pomdp[a][b][c][d] = -inf;
int x = niz[i];
ff(a,0,3){
ff(b,0,3){
ff(c,0,3){
ff(d,0,3){
pomdp[a][b][d][x] = max(pomdp[a][b][d][x], dp[a][b][c][d] + pom[c][d][x]);
pomdp[b][x][c][d] = max(pomdp[b][x][c][d], dp[a][b][c][d] + pom[a][b][x]);
}
}
}
}
ff(a,0,3)ff(b,0,3)ff(c,0,3)ff(d,0,3)dp[a][b][c][d] = pomdp[a][b][c][d];
}
int rez = -inf;
ff(a,0,3){
ff(b,0,3){
ff(c,0,3){
ff(d,0,3)rez = max(rez, dp[a][b][c][d]);
}
}
}
cout << rez << endl;
return 0;
}
/**
6
MBMFFB
16
MMBMBBBBMMMMMBMB
// probati bojenje sahovski ili slicno
**/
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