#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
#define int ll
const int N = 1e6+5;
pair<ll,int> dp[N];
int Bpa[N];
ll Bpasum[N];
int n,K;
ll cost(int i,int j){
int l = i;
int r = j+1;
while(r-l>1){
int mid = (l+r)/2;
if(Bpa[mid]<j) l = mid;
else r = mid;
}
int cnt = l-i;
ll ans = Bpasum[l]-Bpasum[i];
return cnt*j-ans;
}
struct seg{
int pos;int l;int r;
seg(int _pos,int _l,int _r):pos(_pos),l(_l),r(_r){}
};
bool ok(int v){
for(int i=0;i<=n;i++) dp[i] = {1e18,0};
dp[0]={0,0};
dp[n+1] = {1e15,0};
deque<seg> dq;
dq.push_back(seg(0,1,n));
for(int i=1;i<=n;i++){
while(dq.size()){
if(dq[0].r<i) dq.pop_front();
else break;
}
dp[i] = {dp[dq[0].pos].first+cost(dq[0].pos,i)+v,dp[dq[0].pos].second+1};
while(dq.size()){
if(dp[dq.back().pos].first+cost(dq.back().pos,dq.back().l)>dp[i].first+cost(i,dq.back().l)) dq.pop_back();
else break;
}
if(dq.empty()) dq.push_back(seg(i,i+1,n));
else{
seg pseg = dq.back();
dq.pop_back();
int l = pseg.l;int r = pseg.r+1;
while(r-l>1){
int mid = (l+r)/2;
if(dp[pseg.pos].first+cost(pseg.pos,mid)>dp[i].first+cost(i,mid)) r=mid;
else l = mid;
}
dq.push_back(seg(pseg.pos,pseg.l,l));
if(l!=n) dq.push_back(seg(i,l+1,n));
}
}
//cout<<(dp[n].second<=K)<<" "<<dp[n].first<<" "<<v<<"\n";
return (dp[n].second<=K);
}
signed main(){
ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
cin>>n>>K;
string s;cin>>s;
int pa = 0;
int pb = 0;
for(int i=1;i<=2*n;i++){
if(s[i-1]=='A') pa++;
if(s[i-1]=='B') Bpa[++pb]=pa;
}
for(int i=1;i<=n;i++){
Bpasum[i] = Bpasum[i-1]+Bpa[i];
}
ll l = -1;ll r = 1e15;
while(r-l>1){
ll mid = l+((r-l)/2);
if(ok(mid)) r = mid;
else l = mid;
}
ok(r);
//cout<<r<<"\n";
cout<<dp[n].first-r*K<<"\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4444 KB |
Output is correct |
13 |
Correct |
1 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4444 KB |
Output is correct |
13 |
Correct |
1 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
4 ms |
4444 KB |
Output is correct |
18 |
Correct |
12 ms |
4572 KB |
Output is correct |
19 |
Correct |
12 ms |
4700 KB |
Output is correct |
20 |
Correct |
14 ms |
4444 KB |
Output is correct |
21 |
Correct |
13 ms |
4444 KB |
Output is correct |
22 |
Correct |
12 ms |
4572 KB |
Output is correct |
23 |
Correct |
12 ms |
4444 KB |
Output is correct |
24 |
Correct |
12 ms |
4440 KB |
Output is correct |
25 |
Correct |
12 ms |
4440 KB |
Output is correct |
26 |
Correct |
13 ms |
4444 KB |
Output is correct |
27 |
Correct |
12 ms |
4572 KB |
Output is correct |
28 |
Correct |
12 ms |
4572 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4444 KB |
Output is correct |
13 |
Correct |
1 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
4 ms |
4444 KB |
Output is correct |
18 |
Correct |
12 ms |
4572 KB |
Output is correct |
19 |
Correct |
12 ms |
4700 KB |
Output is correct |
20 |
Correct |
14 ms |
4444 KB |
Output is correct |
21 |
Correct |
13 ms |
4444 KB |
Output is correct |
22 |
Correct |
12 ms |
4572 KB |
Output is correct |
23 |
Correct |
12 ms |
4444 KB |
Output is correct |
24 |
Correct |
12 ms |
4440 KB |
Output is correct |
25 |
Correct |
12 ms |
4440 KB |
Output is correct |
26 |
Correct |
13 ms |
4444 KB |
Output is correct |
27 |
Correct |
12 ms |
4572 KB |
Output is correct |
28 |
Correct |
12 ms |
4572 KB |
Output is correct |
29 |
Correct |
227 ms |
4604 KB |
Output is correct |
30 |
Correct |
215 ms |
4440 KB |
Output is correct |
31 |
Correct |
212 ms |
4620 KB |
Output is correct |
32 |
Correct |
266 ms |
4692 KB |
Output is correct |
33 |
Correct |
235 ms |
4604 KB |
Output is correct |
34 |
Correct |
229 ms |
4440 KB |
Output is correct |
35 |
Correct |
226 ms |
4636 KB |
Output is correct |
36 |
Correct |
224 ms |
4624 KB |
Output is correct |
37 |
Correct |
214 ms |
4604 KB |
Output is correct |
38 |
Correct |
231 ms |
4632 KB |
Output is correct |
39 |
Correct |
228 ms |
4604 KB |
Output is correct |
40 |
Correct |
208 ms |
4608 KB |
Output is correct |
41 |
Correct |
197 ms |
4608 KB |
Output is correct |
42 |
Correct |
262 ms |
4864 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4444 KB |
Output is correct |
13 |
Correct |
1 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
4 ms |
4444 KB |
Output is correct |
18 |
Correct |
12 ms |
4572 KB |
Output is correct |
19 |
Correct |
12 ms |
4700 KB |
Output is correct |
20 |
Correct |
14 ms |
4444 KB |
Output is correct |
21 |
Correct |
13 ms |
4444 KB |
Output is correct |
22 |
Correct |
12 ms |
4572 KB |
Output is correct |
23 |
Correct |
12 ms |
4444 KB |
Output is correct |
24 |
Correct |
12 ms |
4440 KB |
Output is correct |
25 |
Correct |
12 ms |
4440 KB |
Output is correct |
26 |
Correct |
13 ms |
4444 KB |
Output is correct |
27 |
Correct |
12 ms |
4572 KB |
Output is correct |
28 |
Correct |
12 ms |
4572 KB |
Output is correct |
29 |
Correct |
227 ms |
4604 KB |
Output is correct |
30 |
Correct |
215 ms |
4440 KB |
Output is correct |
31 |
Correct |
212 ms |
4620 KB |
Output is correct |
32 |
Correct |
266 ms |
4692 KB |
Output is correct |
33 |
Correct |
235 ms |
4604 KB |
Output is correct |
34 |
Correct |
229 ms |
4440 KB |
Output is correct |
35 |
Correct |
226 ms |
4636 KB |
Output is correct |
36 |
Correct |
224 ms |
4624 KB |
Output is correct |
37 |
Correct |
214 ms |
4604 KB |
Output is correct |
38 |
Correct |
231 ms |
4632 KB |
Output is correct |
39 |
Correct |
228 ms |
4604 KB |
Output is correct |
40 |
Correct |
208 ms |
4608 KB |
Output is correct |
41 |
Correct |
197 ms |
4608 KB |
Output is correct |
42 |
Correct |
262 ms |
4864 KB |
Output is correct |
43 |
Correct |
3818 ms |
9304 KB |
Output is correct |
44 |
Correct |
6950 ms |
11576 KB |
Output is correct |
45 |
Correct |
6766 ms |
11252 KB |
Output is correct |
46 |
Execution timed out |
7015 ms |
11208 KB |
Time limit exceeded |
47 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4696 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Correct |
1 ms |
4444 KB |
Output is correct |
6 |
Correct |
1 ms |
4444 KB |
Output is correct |
7 |
Correct |
1 ms |
4444 KB |
Output is correct |
8 |
Correct |
1 ms |
4444 KB |
Output is correct |
9 |
Correct |
1 ms |
4444 KB |
Output is correct |
10 |
Correct |
1 ms |
4444 KB |
Output is correct |
11 |
Correct |
1 ms |
4444 KB |
Output is correct |
12 |
Correct |
1 ms |
4444 KB |
Output is correct |
13 |
Correct |
1 ms |
4444 KB |
Output is correct |
14 |
Correct |
1 ms |
4444 KB |
Output is correct |
15 |
Correct |
1 ms |
4440 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
4 ms |
4444 KB |
Output is correct |
18 |
Correct |
12 ms |
4572 KB |
Output is correct |
19 |
Correct |
12 ms |
4700 KB |
Output is correct |
20 |
Correct |
14 ms |
4444 KB |
Output is correct |
21 |
Correct |
13 ms |
4444 KB |
Output is correct |
22 |
Correct |
12 ms |
4572 KB |
Output is correct |
23 |
Correct |
12 ms |
4444 KB |
Output is correct |
24 |
Correct |
12 ms |
4440 KB |
Output is correct |
25 |
Correct |
12 ms |
4440 KB |
Output is correct |
26 |
Correct |
13 ms |
4444 KB |
Output is correct |
27 |
Correct |
12 ms |
4572 KB |
Output is correct |
28 |
Correct |
12 ms |
4572 KB |
Output is correct |
29 |
Correct |
227 ms |
4604 KB |
Output is correct |
30 |
Correct |
215 ms |
4440 KB |
Output is correct |
31 |
Correct |
212 ms |
4620 KB |
Output is correct |
32 |
Correct |
266 ms |
4692 KB |
Output is correct |
33 |
Correct |
235 ms |
4604 KB |
Output is correct |
34 |
Correct |
229 ms |
4440 KB |
Output is correct |
35 |
Correct |
226 ms |
4636 KB |
Output is correct |
36 |
Correct |
224 ms |
4624 KB |
Output is correct |
37 |
Correct |
214 ms |
4604 KB |
Output is correct |
38 |
Correct |
231 ms |
4632 KB |
Output is correct |
39 |
Correct |
228 ms |
4604 KB |
Output is correct |
40 |
Correct |
208 ms |
4608 KB |
Output is correct |
41 |
Correct |
197 ms |
4608 KB |
Output is correct |
42 |
Correct |
262 ms |
4864 KB |
Output is correct |
43 |
Correct |
3818 ms |
9304 KB |
Output is correct |
44 |
Correct |
6950 ms |
11576 KB |
Output is correct |
45 |
Correct |
6766 ms |
11252 KB |
Output is correct |
46 |
Execution timed out |
7015 ms |
11208 KB |
Time limit exceeded |
47 |
Halted |
0 ms |
0 KB |
- |