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 vector<ll> vi;
typedef vector<vi> vvi;
typedef pair<int, int> pii;
typedef vector<pii> vpii;
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
const ll INF = 1LL << 60;
int N, K;
vi S;
int cnt[2];
vi pos[2];
vvi dp;
vvi trans;
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cin >> N >> K;
string SS;
cin >> SS;
S.resize(2 * N);
for (int foo = 0; foo < 2; ++foo)
pos[foo].assign(N, -1);
for (int i = 0; i < 2 * N; ++i)
{
S[i] = (SS[i] == 'B');
pos[S[i]][cnt[S[i]]++] = i;
}
trans = vvi(N + 1, vi(N + 1, INF));
for (int i = 1; i <= N; ++i)
{
trans[i][i] = 0;
int border = 2 * i;
for (int j = i; j < N; ++j)
trans[i][j + 1] = trans[i][j] + max(0LL, pos[0][j] - border++);
}
dp = vvi(N + 1, vi(K + 1, INF));
dp[0][0] = 0;
dp[0][1] = 0;
for (int i = 0; i < N; ++i)
dp[i + 1][1] = dp[i][1] + pos[0][i] - i;
for (int k = 2; k <= K; ++k)
{
int idx = k - 1;
for (int j = k; j <= N; ++j)
{
for (int i = idx; i < j && dp[idx][k - 1] <= dp[i][k - 1] + trans[i][j]; ++i)
if (dp[i][k - 1] + trans[i][j] <= dp[idx][k - 1] + trans[idx][j])
idx = i;
// while (idx + 1 < j && dp[idx][k - 1] + trans[idx][j] >= dp[idx + 1][k - 1] + trans[idx + 1][j])
// ++idx;
dp[j][k] = dp[idx][k - 1] + trans[idx][j];
}
}
cout << dp[N][K] << endl;
return 0;
}
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