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;
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;cin>>n;
string s;cin>>s;
auto getid = [&](char u){
if (u == 'M')return 0;
else if (u == 'B')return 1;
return 2;
};
vector<int>a(2,-1),b(2,-1);
vector<map<vector<int>,map<vector<int>,int>>>dp(n + 1),came(n + 1);
function<int(int,vector<int>,vector<int>)>solve = [&](int u,vector<int>arr,vector<int>brr){
if (u == n)return 0;
if (came[u][arr][brr])return dp[u][arr][brr];
came[u][arr][brr] = true;
int temp = getid(s[u]);
vector<int>crr(2);
crr[0] = arr[1];
crr[1] = temp;
vector<int>drr(2);
drr[0] = brr[1];
drr[1] = temp;
int cnts = 0,cnts2 = 0;
if (arr[0] != -1)cnts++;
if (arr[1] != -1 && arr[1]!=arr[0])cnts++;
if (temp!=arr[0] && temp!=arr[1])cnts++;
if (brr[0] != -1)cnts2++;
if (brr[1] != -1 && brr[1]!=brr[0])cnts2++;
if (temp!=brr[0] && temp!=brr[1])cnts2++;
long long ans = max(solve(u + 1,crr,brr) + cnts , solve(u + 1,arr,drr) + cnts2);
return dp[u][arr][brr] = ans;
};
cout<<solve(0,a,b)<<'\n';
return 0;
}
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