/* Author : Tr3nity */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define mod1 (1000000000+7)
#define mod (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
const int N = 1e6+100, M = 1e5+10, K = 18;
ll n, dp[5005][5005], S[N], SB[N], fp[N], mn[N], sz[N], szpref[N], ans = 0;
string s;
int k;
void solve(){
cin >> n >> k >> s;
vector<pair<int, int>> v;
int a = 0, b = 0;
string t = "";
for(int i = 0; i < 2*n; ++i){
if(s[i] == 'A'){
if(a == v.size())
v.pb({i, 0}), a++;
else
v[a].first = i, a++;
}else{
if(b == v.size())
v.pb({0, i}), b++;
else
v[b].second = i, b++;
}
t += "0";
}
deque<int> rem;
for(auto p: v){
if(p.first > p.second){
while(!rem.empty() && rem.front() < p.second) rem.pop_front();
p.second += rem.size();
ans += p.first - p.second;
t[p.second] = 'A';
rem.pb(p.first);
}else{
t[p.first] = 'A';
}
}
v.clear();
a = b = 0;
for(int i = 0; i < 2*n; ++i){
if(t[i] == 'A'){
if(a == v.size())
v.pb({i, 0}), a++;
else
v[a].first = i, a++;
}else{
if(b == v.size())
v.pb({0, i}), b++;
else
v[b].second = i, b++;
}
}
int m = 1;
S[m] += v[0].first;
fp[m] += v[0].second;
sz[m]++;
for(int i = 1; i < n; ++i){
if(v[i].first > fp[m]){
m++;
fp[m] = v[i].second;
}
sz[m]++;
S[m] += v[i].first;
}
if(m <= k){
cout << ans;
return;
}
for(int i = 0; i <= m; ++i) for(int j = 0; j <= k; ++j) dp[i][j] = 0;
szpref[0] = 0;
for(int i = 1; i <= m; ++i) szpref[i] = szpref[i - 1] + sz[i];
for(int i = 2; i <= m; ++i){
for(int j = 2; j <= k; ++j){
ll x = 1e18;
if(j > 2)
for(int l = 1; l < i; ++l) x = min(x, dp[l][j - 1]);
else
x = dp[1][1];
dp[i][j] = x;
}
for(int j = 1; j < i; ++j)
for(int l = 1; l <= k; ++l){
dp[j][l] += -sz[i] * (fp[j] + szpref[i - 1] - szpref[j]) + S[i] - (sz[i] - 1) * sz[i] / 2;
}
}
ll best = 1e18;
if(k > 1)
for(int i = k; i <= m; ++i) best = min(best, dp[i][k]);
else
best = dp[1][1];
assert(best < 1e18);
cout << best + ans;
}
int main(){
cin.tie(0); ios::sync_with_stdio(0);
int T = 1, aa;
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
// cin >> T;aa=T;
while(T--){
solve();
}
cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
return 0;
}
Compilation message
chorus.cpp: In function 'void solve()':
chorus.cpp:24:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
24 | if(a == v.size())
| ~~^~~~~~~~~~~
chorus.cpp:29:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
29 | if(b == v.size())
| ~~^~~~~~~~~~~
chorus.cpp:52:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
52 | if(a == v.size())
| ~~^~~~~~~~~~~
chorus.cpp:57:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
57 | if(b == v.size())
| ~~^~~~~~~~~~~
chorus.cpp: In function 'int main()':
chorus.cpp:113:14: warning: unused variable 'aa' [-Wunused-variable]
113 | int T = 1, aa;
| ^~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
6 ms |
2380 KB |
Output is correct |
21 |
Correct |
2 ms |
2388 KB |
Output is correct |
22 |
Correct |
88 ms |
4356 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Incorrect |
1 ms |
724 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
6 ms |
2380 KB |
Output is correct |
21 |
Correct |
2 ms |
2388 KB |
Output is correct |
22 |
Correct |
88 ms |
4356 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Incorrect |
1 ms |
724 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
6 ms |
2380 KB |
Output is correct |
21 |
Correct |
2 ms |
2388 KB |
Output is correct |
22 |
Correct |
88 ms |
4356 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Incorrect |
1 ms |
724 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
0 ms |
340 KB |
Output is correct |
3 |
Correct |
0 ms |
340 KB |
Output is correct |
4 |
Correct |
0 ms |
340 KB |
Output is correct |
5 |
Correct |
0 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
0 ms |
340 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
0 ms |
340 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
0 ms |
340 KB |
Output is correct |
16 |
Correct |
0 ms |
340 KB |
Output is correct |
17 |
Correct |
0 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
6 ms |
2380 KB |
Output is correct |
21 |
Correct |
2 ms |
2388 KB |
Output is correct |
22 |
Correct |
88 ms |
4356 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Incorrect |
1 ms |
724 KB |
Output isn't correct |
25 |
Halted |
0 ms |
0 KB |
- |