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;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define X first
#define Y second
#define SZ(a) ((int)a.size())
#define ALL(v) v.begin(), v.end()
#define pb push_back
int lft[1000005], lst[1000005];
ll prv[1000005];
int main() {
ios::sync_with_stdio(0), cin.tie(0);
int n, k;
string s;
cin >> n >> k >> s;
if (n > 500) return 0;
int cntA = 0, cntB = 0;
for (int i = 0; i < n + n; ++i) {
if (s[i] == 'B') ++cntB;
else lft[++cntA] = cntB;
}
for (int i = 1; i <= n; ++i)
prv[i] = prv[i - 1] + lft[i];
for (int i = 0; i <= n; ++i)
lst[lft[i]] = i;
for (int i = 1; i <= n; ++i)
lst[i] = max(lst[i], lst[i - 1]);
for (int i = 0; i <= n; ++i)
lst[i] = max(i, lst[i]);
const ll INF = 1e18;
vector<vector<ll>> dp(k + 1, vector<ll>(n + 1, INF));
ll fin = INF;
dp[0][0] = 0;
for (int i = 1; i <= k; ++i) {
for (int j = 1, p = 0; j <= n; ++j) {
while (lst[p] <= j && p < j) ++p;
if (p < j)
dp[i][j] = min(dp[i][j], dp[i - 1][p]);
for (int q = 0; q < p; ++q)
dp[i][j] = min(dp[i][j], dp[i - 1][q] + prv[j] - prv[lst[q]] - q * (j - lst[q]));
}
fin = min(fin, dp[i][n]);
}
cout << fin << "\n";
}
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