#include <bits/stdc++.h>
using namespace std;
#define int long long
const int INF = 1e13;
struct fenwick{
vector<int> tree;
int n;
fenwick(int n):n(n),tree(n+1){}
void add(int k,int x){
while(k<=n){
tree[k]+=x;
k+=k&-k;
}
}
int get(int k){
int ans = 0;
while(k){
ans+=tree[k];
k-=k&-k;
}
return ans;
}
};
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n,k;
cin >> n >> k;
string s;
cin >> s;
s.insert(s.begin(),'$');
vector<int> posA(n+1);
vector<int> posB(n+1);
int cntA = 0,cntB = 0;
for(int i=1;i<=2*n;i++){
if(s[i]=='A'){
posA[++cntA]=i;
} else {
posB[++cntB]=i;
}
}
vector<int> costA(n+1);
vector<int> costB(n+1);
vector<int> lastB(n+1);
{
fenwick temp(2*n);
for(int i=n;i;i--){
temp.add(posB[i],1);
costA[i] = temp.get(posA[i]);
}
for(int i=1;i<=n;i++)costA[i]+=costA[i-1];
}
{
fenwick temp(2*n);
for(int i=n;i;i--){
costB[i] = n-i-temp.get(posB[i]);
temp.add(posA[i],1);
}
for(int i=1;i<=n;i++)costB[i]+=costB[i-1];
}
{
int currlast = 0;
for(int i=1;i<=n;i++){
while(currlast!=n and posB[currlast+1]<posA[i])currlast++;
lastB[i] = min(currlast,i);
}
}
auto cost = [&](int a,int b){
assert(a<=b);
int Ac = costA[b]-costA[a-1];
if(lastB[b]<a)return Ac;
int amt = lastB[b]-a+1;;
int Bc = costB[lastB[b]]-costB[a-1]-amt*(n-b);
return Ac+Bc;
};
auto solve = [&](int penalty){
vector<pair<int,int>> DP(n+1,{INF,INF});
DP[0]={0,0};
for(int i=1;i<=n;i++){
for(int j=i;j;j--){
DP[i]=min(DP[i],{DP[j-1].first+cost(j,i)+penalty,DP[j-1].second+1});
}
}
return DP[n];
};
int best_penalty = -1;
for(int jump=(1ll<<40);jump;jump/=2ll){
if(solve(best_penalty+jump).second>k)best_penalty+=jump;
}
best_penalty++;
cout << solve(best_penalty).first-k*best_penalty << '\n';
}
Compilation message
chorus.cpp: In constructor 'fenwick::fenwick(long long int)':
chorus.cpp:10:6: warning: 'fenwick::n' will be initialized after [-Wreorder]
10 | int n;
| ^
chorus.cpp:9:14: warning: 'std::vector<long long int> fenwick::tree' [-Wreorder]
9 | vector<int> tree;
| ^~~~
chorus.cpp:11:2: warning: when initialized here [-Wreorder]
11 | fenwick(int n):n(n),tree(n+1){}
| ^~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
456 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
456 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
456 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
456 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
3 ms |
344 KB |
Output is correct |
18 |
Correct |
14 ms |
348 KB |
Output is correct |
19 |
Correct |
14 ms |
348 KB |
Output is correct |
20 |
Correct |
14 ms |
348 KB |
Output is correct |
21 |
Correct |
14 ms |
348 KB |
Output is correct |
22 |
Correct |
14 ms |
488 KB |
Output is correct |
23 |
Correct |
14 ms |
344 KB |
Output is correct |
24 |
Correct |
14 ms |
348 KB |
Output is correct |
25 |
Correct |
14 ms |
344 KB |
Output is correct |
26 |
Correct |
14 ms |
348 KB |
Output is correct |
27 |
Correct |
14 ms |
348 KB |
Output is correct |
28 |
Correct |
20 ms |
344 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
456 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
456 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
3 ms |
344 KB |
Output is correct |
18 |
Correct |
14 ms |
348 KB |
Output is correct |
19 |
Correct |
14 ms |
348 KB |
Output is correct |
20 |
Correct |
14 ms |
348 KB |
Output is correct |
21 |
Correct |
14 ms |
348 KB |
Output is correct |
22 |
Correct |
14 ms |
488 KB |
Output is correct |
23 |
Correct |
14 ms |
344 KB |
Output is correct |
24 |
Correct |
14 ms |
348 KB |
Output is correct |
25 |
Correct |
14 ms |
344 KB |
Output is correct |
26 |
Correct |
14 ms |
348 KB |
Output is correct |
27 |
Correct |
14 ms |
348 KB |
Output is correct |
28 |
Correct |
20 ms |
344 KB |
Output is correct |
29 |
Correct |
1233 ms |
728 KB |
Output is correct |
30 |
Correct |
1325 ms |
740 KB |
Output is correct |
31 |
Correct |
1263 ms |
732 KB |
Output is correct |
32 |
Correct |
1274 ms |
732 KB |
Output is correct |
33 |
Correct |
1206 ms |
740 KB |
Output is correct |
34 |
Correct |
1301 ms |
740 KB |
Output is correct |
35 |
Correct |
1335 ms |
736 KB |
Output is correct |
36 |
Correct |
1222 ms |
848 KB |
Output is correct |
37 |
Correct |
1280 ms |
604 KB |
Output is correct |
38 |
Correct |
1281 ms |
856 KB |
Output is correct |
39 |
Correct |
1264 ms |
736 KB |
Output is correct |
40 |
Correct |
1182 ms |
736 KB |
Output is correct |
41 |
Correct |
1118 ms |
604 KB |
Output is correct |
42 |
Correct |
992 ms |
600 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
456 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
456 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
3 ms |
344 KB |
Output is correct |
18 |
Correct |
14 ms |
348 KB |
Output is correct |
19 |
Correct |
14 ms |
348 KB |
Output is correct |
20 |
Correct |
14 ms |
348 KB |
Output is correct |
21 |
Correct |
14 ms |
348 KB |
Output is correct |
22 |
Correct |
14 ms |
488 KB |
Output is correct |
23 |
Correct |
14 ms |
344 KB |
Output is correct |
24 |
Correct |
14 ms |
348 KB |
Output is correct |
25 |
Correct |
14 ms |
344 KB |
Output is correct |
26 |
Correct |
14 ms |
348 KB |
Output is correct |
27 |
Correct |
14 ms |
348 KB |
Output is correct |
28 |
Correct |
20 ms |
344 KB |
Output is correct |
29 |
Correct |
1233 ms |
728 KB |
Output is correct |
30 |
Correct |
1325 ms |
740 KB |
Output is correct |
31 |
Correct |
1263 ms |
732 KB |
Output is correct |
32 |
Correct |
1274 ms |
732 KB |
Output is correct |
33 |
Correct |
1206 ms |
740 KB |
Output is correct |
34 |
Correct |
1301 ms |
740 KB |
Output is correct |
35 |
Correct |
1335 ms |
736 KB |
Output is correct |
36 |
Correct |
1222 ms |
848 KB |
Output is correct |
37 |
Correct |
1280 ms |
604 KB |
Output is correct |
38 |
Correct |
1281 ms |
856 KB |
Output is correct |
39 |
Correct |
1264 ms |
736 KB |
Output is correct |
40 |
Correct |
1182 ms |
736 KB |
Output is correct |
41 |
Correct |
1118 ms |
604 KB |
Output is correct |
42 |
Correct |
992 ms |
600 KB |
Output is correct |
43 |
Execution timed out |
7057 ms |
4056 KB |
Time limit exceeded |
44 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
456 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
456 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
3 ms |
344 KB |
Output is correct |
18 |
Correct |
14 ms |
348 KB |
Output is correct |
19 |
Correct |
14 ms |
348 KB |
Output is correct |
20 |
Correct |
14 ms |
348 KB |
Output is correct |
21 |
Correct |
14 ms |
348 KB |
Output is correct |
22 |
Correct |
14 ms |
488 KB |
Output is correct |
23 |
Correct |
14 ms |
344 KB |
Output is correct |
24 |
Correct |
14 ms |
348 KB |
Output is correct |
25 |
Correct |
14 ms |
344 KB |
Output is correct |
26 |
Correct |
14 ms |
348 KB |
Output is correct |
27 |
Correct |
14 ms |
348 KB |
Output is correct |
28 |
Correct |
20 ms |
344 KB |
Output is correct |
29 |
Correct |
1233 ms |
728 KB |
Output is correct |
30 |
Correct |
1325 ms |
740 KB |
Output is correct |
31 |
Correct |
1263 ms |
732 KB |
Output is correct |
32 |
Correct |
1274 ms |
732 KB |
Output is correct |
33 |
Correct |
1206 ms |
740 KB |
Output is correct |
34 |
Correct |
1301 ms |
740 KB |
Output is correct |
35 |
Correct |
1335 ms |
736 KB |
Output is correct |
36 |
Correct |
1222 ms |
848 KB |
Output is correct |
37 |
Correct |
1280 ms |
604 KB |
Output is correct |
38 |
Correct |
1281 ms |
856 KB |
Output is correct |
39 |
Correct |
1264 ms |
736 KB |
Output is correct |
40 |
Correct |
1182 ms |
736 KB |
Output is correct |
41 |
Correct |
1118 ms |
604 KB |
Output is correct |
42 |
Correct |
992 ms |
600 KB |
Output is correct |
43 |
Execution timed out |
7057 ms |
4056 KB |
Time limit exceeded |
44 |
Halted |
0 ms |
0 KB |
- |