#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
const int N = 1e6+5;
pair<ll,ll> dp[N];
int Bpa[N];
ll Bpasum[N];
int Bpaj[N];
int n,K;
ll cost(int i,int j){
int r = min(Bpaj[j],j);
int l = i+1;
if(r<l) return 0;
return (1LL*j*(r-l+1))-(Bpasum[r]-Bpasum[l-1]);
}
struct seg{
int pos;int l;int r;
seg(int _pos,int _l,int _r):pos(_pos),l(_l),r(_r){}
};
bool ok(ll 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();
ll l = pseg.l;ll r = pseg.r+1;
while(r-l>1){
ll 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));
}
}
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') Bpaj[pa++]=pb;
if(s[i-1]=='B') Bpa[++pb]=pa;
}
for(int i=pa;i<=n;i++) Bpaj[i]=n;
for(int i=1;i<=n;i++){
Bpasum[i] = Bpasum[i-1]+Bpa[i];
}
ll l = -1;ll r = 1LL*n*n+2;
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-(1LL*r*K)<<"\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 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 |
4440 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 |
4504 KB |
Output is correct |
11 |
Correct |
1 ms |
4440 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 |
4444 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 |
4440 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 |
4440 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 |
4504 KB |
Output is correct |
11 |
Correct |
1 ms |
4440 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 |
4444 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
2 ms |
4580 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
2 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4696 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
2 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4440 KB |
Output is correct |
28 |
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 |
4440 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 |
4440 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 |
4504 KB |
Output is correct |
11 |
Correct |
1 ms |
4440 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 |
4444 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
2 ms |
4580 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
2 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4696 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
2 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4440 KB |
Output is correct |
28 |
Correct |
1 ms |
4444 KB |
Output is correct |
29 |
Correct |
14 ms |
4440 KB |
Output is correct |
30 |
Correct |
13 ms |
4440 KB |
Output is correct |
31 |
Correct |
12 ms |
4444 KB |
Output is correct |
32 |
Correct |
17 ms |
4656 KB |
Output is correct |
33 |
Correct |
10 ms |
4444 KB |
Output is correct |
34 |
Correct |
15 ms |
4668 KB |
Output is correct |
35 |
Correct |
14 ms |
4664 KB |
Output is correct |
36 |
Correct |
12 ms |
4444 KB |
Output is correct |
37 |
Correct |
13 ms |
4664 KB |
Output is correct |
38 |
Correct |
14 ms |
4444 KB |
Output is correct |
39 |
Correct |
14 ms |
4664 KB |
Output is correct |
40 |
Correct |
10 ms |
4444 KB |
Output is correct |
41 |
Correct |
11 ms |
4444 KB |
Output is correct |
42 |
Correct |
10 ms |
4440 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 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 |
4440 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 |
4504 KB |
Output is correct |
11 |
Correct |
1 ms |
4440 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 |
4444 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
2 ms |
4580 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
2 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4696 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
2 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4440 KB |
Output is correct |
28 |
Correct |
1 ms |
4444 KB |
Output is correct |
29 |
Correct |
14 ms |
4440 KB |
Output is correct |
30 |
Correct |
13 ms |
4440 KB |
Output is correct |
31 |
Correct |
12 ms |
4444 KB |
Output is correct |
32 |
Correct |
17 ms |
4656 KB |
Output is correct |
33 |
Correct |
10 ms |
4444 KB |
Output is correct |
34 |
Correct |
15 ms |
4668 KB |
Output is correct |
35 |
Correct |
14 ms |
4664 KB |
Output is correct |
36 |
Correct |
12 ms |
4444 KB |
Output is correct |
37 |
Correct |
13 ms |
4664 KB |
Output is correct |
38 |
Correct |
14 ms |
4444 KB |
Output is correct |
39 |
Correct |
14 ms |
4664 KB |
Output is correct |
40 |
Correct |
10 ms |
4444 KB |
Output is correct |
41 |
Correct |
11 ms |
4444 KB |
Output is correct |
42 |
Correct |
10 ms |
4440 KB |
Output is correct |
43 |
Correct |
217 ms |
11512 KB |
Output is correct |
44 |
Correct |
408 ms |
11576 KB |
Output is correct |
45 |
Correct |
386 ms |
11592 KB |
Output is correct |
46 |
Correct |
591 ms |
11492 KB |
Output is correct |
47 |
Correct |
330 ms |
12140 KB |
Output is correct |
48 |
Correct |
497 ms |
11712 KB |
Output is correct |
49 |
Correct |
497 ms |
11708 KB |
Output is correct |
50 |
Correct |
391 ms |
11496 KB |
Output is correct |
51 |
Correct |
405 ms |
11492 KB |
Output is correct |
52 |
Correct |
499 ms |
11592 KB |
Output is correct |
53 |
Correct |
495 ms |
11708 KB |
Output is correct |
54 |
Correct |
392 ms |
11656 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4440 KB |
Output is correct |
2 |
Correct |
1 ms |
4440 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 |
4440 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 |
4504 KB |
Output is correct |
11 |
Correct |
1 ms |
4440 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 |
4444 KB |
Output is correct |
16 |
Correct |
1 ms |
4444 KB |
Output is correct |
17 |
Correct |
1 ms |
4444 KB |
Output is correct |
18 |
Correct |
2 ms |
4580 KB |
Output is correct |
19 |
Correct |
1 ms |
4444 KB |
Output is correct |
20 |
Correct |
2 ms |
4444 KB |
Output is correct |
21 |
Correct |
1 ms |
4696 KB |
Output is correct |
22 |
Correct |
1 ms |
4444 KB |
Output is correct |
23 |
Correct |
2 ms |
4444 KB |
Output is correct |
24 |
Correct |
1 ms |
4444 KB |
Output is correct |
25 |
Correct |
1 ms |
4444 KB |
Output is correct |
26 |
Correct |
1 ms |
4444 KB |
Output is correct |
27 |
Correct |
1 ms |
4440 KB |
Output is correct |
28 |
Correct |
1 ms |
4444 KB |
Output is correct |
29 |
Correct |
14 ms |
4440 KB |
Output is correct |
30 |
Correct |
13 ms |
4440 KB |
Output is correct |
31 |
Correct |
12 ms |
4444 KB |
Output is correct |
32 |
Correct |
17 ms |
4656 KB |
Output is correct |
33 |
Correct |
10 ms |
4444 KB |
Output is correct |
34 |
Correct |
15 ms |
4668 KB |
Output is correct |
35 |
Correct |
14 ms |
4664 KB |
Output is correct |
36 |
Correct |
12 ms |
4444 KB |
Output is correct |
37 |
Correct |
13 ms |
4664 KB |
Output is correct |
38 |
Correct |
14 ms |
4444 KB |
Output is correct |
39 |
Correct |
14 ms |
4664 KB |
Output is correct |
40 |
Correct |
10 ms |
4444 KB |
Output is correct |
41 |
Correct |
11 ms |
4444 KB |
Output is correct |
42 |
Correct |
10 ms |
4440 KB |
Output is correct |
43 |
Correct |
217 ms |
11512 KB |
Output is correct |
44 |
Correct |
408 ms |
11576 KB |
Output is correct |
45 |
Correct |
386 ms |
11592 KB |
Output is correct |
46 |
Correct |
591 ms |
11492 KB |
Output is correct |
47 |
Correct |
330 ms |
12140 KB |
Output is correct |
48 |
Correct |
497 ms |
11712 KB |
Output is correct |
49 |
Correct |
497 ms |
11708 KB |
Output is correct |
50 |
Correct |
391 ms |
11496 KB |
Output is correct |
51 |
Correct |
405 ms |
11492 KB |
Output is correct |
52 |
Correct |
499 ms |
11592 KB |
Output is correct |
53 |
Correct |
495 ms |
11708 KB |
Output is correct |
54 |
Correct |
392 ms |
11656 KB |
Output is correct |
55 |
Correct |
3284 ms |
29944 KB |
Output is correct |
56 |
Correct |
6166 ms |
36396 KB |
Output is correct |
57 |
Correct |
5292 ms |
35992 KB |
Output is correct |
58 |
Execution timed out |
7036 ms |
33788 KB |
Time limit exceeded |
59 |
Halted |
0 ms |
0 KB |
- |