| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 855331 |
2023-10-01T05:44:35 Z |
willychan |
Chorus (JOI23_chorus) |
C++14 |
|
7000 ms |
4180 KB |
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
//#include<bits/extc++.h>
//__gnu_pbds
#define int ll
const int N = 1e5+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;
}
ll 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 = 1e12;
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;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2552 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
0 ms |
2396 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2552 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
3 ms |
2396 KB |
Output is correct |
| 18 |
Correct |
9 ms |
2516 KB |
Output is correct |
| 19 |
Correct |
10 ms |
2392 KB |
Output is correct |
| 20 |
Correct |
11 ms |
2524 KB |
Output is correct |
| 21 |
Correct |
10 ms |
2516 KB |
Output is correct |
| 22 |
Correct |
10 ms |
2524 KB |
Output is correct |
| 23 |
Correct |
10 ms |
2524 KB |
Output is correct |
| 24 |
Correct |
10 ms |
2516 KB |
Output is correct |
| 25 |
Correct |
9 ms |
2520 KB |
Output is correct |
| 26 |
Correct |
10 ms |
2396 KB |
Output is correct |
| 27 |
Correct |
9 ms |
2520 KB |
Output is correct |
| 28 |
Correct |
9 ms |
2396 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2552 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
3 ms |
2396 KB |
Output is correct |
| 18 |
Correct |
9 ms |
2516 KB |
Output is correct |
| 19 |
Correct |
10 ms |
2392 KB |
Output is correct |
| 20 |
Correct |
11 ms |
2524 KB |
Output is correct |
| 21 |
Correct |
10 ms |
2516 KB |
Output is correct |
| 22 |
Correct |
10 ms |
2524 KB |
Output is correct |
| 23 |
Correct |
10 ms |
2524 KB |
Output is correct |
| 24 |
Correct |
10 ms |
2516 KB |
Output is correct |
| 25 |
Correct |
9 ms |
2520 KB |
Output is correct |
| 26 |
Correct |
10 ms |
2396 KB |
Output is correct |
| 27 |
Correct |
9 ms |
2520 KB |
Output is correct |
| 28 |
Correct |
9 ms |
2396 KB |
Output is correct |
| 29 |
Correct |
166 ms |
2804 KB |
Output is correct |
| 30 |
Correct |
158 ms |
2572 KB |
Output is correct |
| 31 |
Correct |
156 ms |
2552 KB |
Output is correct |
| 32 |
Correct |
211 ms |
2556 KB |
Output is correct |
| 33 |
Correct |
175 ms |
2900 KB |
Output is correct |
| 34 |
Correct |
171 ms |
2592 KB |
Output is correct |
| 35 |
Correct |
167 ms |
2396 KB |
Output is correct |
| 36 |
Correct |
170 ms |
2392 KB |
Output is correct |
| 37 |
Correct |
154 ms |
2396 KB |
Output is correct |
| 38 |
Correct |
169 ms |
2568 KB |
Output is correct |
| 39 |
Correct |
162 ms |
2392 KB |
Output is correct |
| 40 |
Correct |
147 ms |
2396 KB |
Output is correct |
| 41 |
Correct |
140 ms |
2392 KB |
Output is correct |
| 42 |
Correct |
202 ms |
2396 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2552 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
3 ms |
2396 KB |
Output is correct |
| 18 |
Correct |
9 ms |
2516 KB |
Output is correct |
| 19 |
Correct |
10 ms |
2392 KB |
Output is correct |
| 20 |
Correct |
11 ms |
2524 KB |
Output is correct |
| 21 |
Correct |
10 ms |
2516 KB |
Output is correct |
| 22 |
Correct |
10 ms |
2524 KB |
Output is correct |
| 23 |
Correct |
10 ms |
2524 KB |
Output is correct |
| 24 |
Correct |
10 ms |
2516 KB |
Output is correct |
| 25 |
Correct |
9 ms |
2520 KB |
Output is correct |
| 26 |
Correct |
10 ms |
2396 KB |
Output is correct |
| 27 |
Correct |
9 ms |
2520 KB |
Output is correct |
| 28 |
Correct |
9 ms |
2396 KB |
Output is correct |
| 29 |
Correct |
166 ms |
2804 KB |
Output is correct |
| 30 |
Correct |
158 ms |
2572 KB |
Output is correct |
| 31 |
Correct |
156 ms |
2552 KB |
Output is correct |
| 32 |
Correct |
211 ms |
2556 KB |
Output is correct |
| 33 |
Correct |
175 ms |
2900 KB |
Output is correct |
| 34 |
Correct |
171 ms |
2592 KB |
Output is correct |
| 35 |
Correct |
167 ms |
2396 KB |
Output is correct |
| 36 |
Correct |
170 ms |
2392 KB |
Output is correct |
| 37 |
Correct |
154 ms |
2396 KB |
Output is correct |
| 38 |
Correct |
169 ms |
2568 KB |
Output is correct |
| 39 |
Correct |
162 ms |
2392 KB |
Output is correct |
| 40 |
Correct |
147 ms |
2396 KB |
Output is correct |
| 41 |
Correct |
140 ms |
2392 KB |
Output is correct |
| 42 |
Correct |
202 ms |
2396 KB |
Output is correct |
| 43 |
Correct |
2582 ms |
3316 KB |
Output is correct |
| 44 |
Correct |
4641 ms |
4180 KB |
Output is correct |
| 45 |
Correct |
4573 ms |
4068 KB |
Output is correct |
| 46 |
Execution timed out |
7059 ms |
4064 KB |
Time limit exceeded |
| 47 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2552 KB |
Output is correct |
| 2 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 3 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 7 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 10 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
1 ms |
2392 KB |
Output is correct |
| 13 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 14 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 15 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
0 ms |
2396 KB |
Output is correct |
| 17 |
Correct |
3 ms |
2396 KB |
Output is correct |
| 18 |
Correct |
9 ms |
2516 KB |
Output is correct |
| 19 |
Correct |
10 ms |
2392 KB |
Output is correct |
| 20 |
Correct |
11 ms |
2524 KB |
Output is correct |
| 21 |
Correct |
10 ms |
2516 KB |
Output is correct |
| 22 |
Correct |
10 ms |
2524 KB |
Output is correct |
| 23 |
Correct |
10 ms |
2524 KB |
Output is correct |
| 24 |
Correct |
10 ms |
2516 KB |
Output is correct |
| 25 |
Correct |
9 ms |
2520 KB |
Output is correct |
| 26 |
Correct |
10 ms |
2396 KB |
Output is correct |
| 27 |
Correct |
9 ms |
2520 KB |
Output is correct |
| 28 |
Correct |
9 ms |
2396 KB |
Output is correct |
| 29 |
Correct |
166 ms |
2804 KB |
Output is correct |
| 30 |
Correct |
158 ms |
2572 KB |
Output is correct |
| 31 |
Correct |
156 ms |
2552 KB |
Output is correct |
| 32 |
Correct |
211 ms |
2556 KB |
Output is correct |
| 33 |
Correct |
175 ms |
2900 KB |
Output is correct |
| 34 |
Correct |
171 ms |
2592 KB |
Output is correct |
| 35 |
Correct |
167 ms |
2396 KB |
Output is correct |
| 36 |
Correct |
170 ms |
2392 KB |
Output is correct |
| 37 |
Correct |
154 ms |
2396 KB |
Output is correct |
| 38 |
Correct |
169 ms |
2568 KB |
Output is correct |
| 39 |
Correct |
162 ms |
2392 KB |
Output is correct |
| 40 |
Correct |
147 ms |
2396 KB |
Output is correct |
| 41 |
Correct |
140 ms |
2392 KB |
Output is correct |
| 42 |
Correct |
202 ms |
2396 KB |
Output is correct |
| 43 |
Correct |
2582 ms |
3316 KB |
Output is correct |
| 44 |
Correct |
4641 ms |
4180 KB |
Output is correct |
| 45 |
Correct |
4573 ms |
4068 KB |
Output is correct |
| 46 |
Execution timed out |
7059 ms |
4064 KB |
Time limit exceeded |
| 47 |
Halted |
0 ms |
0 KB |
- |
