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::sync_with_stdio(false);
cin.tie(nullptr);
int N;
cin >> N;
string S;
cin >> S;
vector<int> A(N);
for (int i = 0; i < N; i++) {
if (S[i] == 'M') A[i] = 1;
if (S[i] == 'F') A[i] = 2;
if (S[i] == 'B') A[i] = 3;
}
auto count_diff = [&](int x, int y, int z) -> int {
set<int> values;
if (x != 0) values.insert(x);
if (y != 0) values.insert(y);
if (z != 0) values.insert(z);
return (int) values.size();
};
int dp[2][4][4][4][4], val = A[0];
auto clear_dp = [&](int par) -> void {
for (int d1 = 0; d1 <= 3; d1++)
for (int d2 = 0; d2 <= 3; d2++)
for (int d3 = 0; d3 <= 3; d3++)
for (int d4 = 0; d4 <= 3; d4++)
dp[par][d1][d2][d3][d4] = -1e9;
};
clear_dp(0);
dp[0][val][val][0][0] = 1;
dp[0][0][0][val][val] = 1;
for (int i = 1; i < N; i++) {
int curr = i & 1, prev = curr ^ 1, d = A[i];
clear_dp(curr);
for (int d1 = 0; d1 <= 3; d1++)
for (int d2 = 0; d2 <= 3; d2++)
for (int d3 = 0; d3 <= 3; d3++)
for (int d4 = 0; d4 <= 3; d4++) {
dp[curr][d][d1][d3][d4] = max(dp[curr][d][d1][d3][d4], dp[prev][d1][d2][d3][d4] + count_diff(d, d1, d2));
dp[curr][d1][d2][d][d3] = max(dp[curr][d1][d2][d][d3], dp[prev][d1][d2][d3][d4] + count_diff(d, d3, d4));
}
}
int answer = 0;
for (int d1 = 1; d1 <= 3; d1++)
for (int d2 = 1; d2 <= 3; d2++)
for (int d3 = 1; d3 <= 3; d3++)
for (int d4 = 1; d4 <= 3; d4++)
answer = max(answer, dp[(N - 1) & 1][d1][d2][d3][d4]);
cout << answer << '\n';
return 0;
}
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