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;
const int N = 1e5;
int n, a[N], dp[N][4][4][4][4];
// max(mine 1, mine 2)
int rek(int pos, int p1, int p2, int p1_, int p2_){
if(dp[pos][p1][p2][p1_][p2_] != -1) return dp[pos][p1][p2][p1_][p2_];
set<int> _1, _2;
if(p1 > 0)
_1.insert(p1);
if(p2 > 0)
_1.insert(p2);
_1.insert(a[pos]);
if(p1_ > 0)
_2.insert(p1_);
if(p2_ > 0)
_2.insert(p2_);
_2.insert(a[pos]);
int a1 = _1.size(), a2 = _2.size();
if(pos == n - 1)
{
return max(a1,a2);
}
// cout << pos <<' '<<p1<<' '<<p2<<' '<<p1_<<' '<<p2_<< " " << a1 << " " << a2 << ": " << a[pos] << '\n';
return dp[pos][p1][p2][p1_][p2_]=max(rek(pos+1,p2,a[pos],p1_,p2_)+a1,rek(pos+1,p1,p2,p2_,a[pos])+a2);
}
int main(){
cin.tie(0) -> ios_base::sync_with_stdio(0);
for(int i=0;i<N;i++)
for(int j=0;j<4;j++)
for(int k=0;k<4;k++)
for(int p=0;p<4;p++)
for(int r=0;r<4;r++)
dp[i][j][k][p][r] = -1;
cin >> n;
for(int i=0;i<n;i++)
{
char c;
cin >> c;
if(c == 'M') {
a[i] = 1;
}
else if(c == 'B') {
a[i] = 2;
}
else {
a[i] = 3;
}
}
cout << rek(0,0,0,0,0);
}
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