#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using pl = pair<ll,ll>;
const int N=1e6+5;
int n,k;
string s;
int a[N],b[N];
ll qs[N];
pl dp[N];
struct Line{
ll m,c,cnt;
Line(ll _m,ll _c,ll _cnt):m(_m),c(_c),cnt(_cnt){}
ll eval(ll x){
return m*x+c;
}
};
struct CHT{
deque<Line> hull;
bool bad(Line x,Line y,Line z){
return (x.c-y.c)*(z.m-x.m)>(x.c-z.c)*(y.m-x.m);
}
void insert(ll m,ll c,ll cnt){
Line v(m,c,cnt);
while(hull.size()>1&&bad(hull.end()[-2],hull.back(),v))hull.pop_back();
hull.emplace_back(v);
}
pl query(ll x){
while(hull.size()>1&&hull[0].eval(x)>hull[1].eval(x))hull.pop_front();
return pl(hull[0].eval(x),hull[0].cnt);
}
};
pl solve(ll lambda){
CHT cht;
cht.insert(0,0,0);
deque<int> dq;
for(int i=1;i<=n;i++){
while(!dq.empty()&&b[dq.front()]<i){
int j=dq.front();
dq.pop_front();
cht.insert(-j,dp[j].first-qs[b[j]]+1LL*j*b[j],dp[j].second);
}
dp[i]=cht.query(i);
dp[i].first+=qs[i];
dp[i]=min(dp[i],pl(qs[i],0));
if(!dq.empty())dp[i]=min(dp[i],dp[dq.front()]);
dp[i].first+=lambda;
dp[i].second++;
while(!dq.empty()&&dp[dq.back()]>dp[i])dq.pop_back();
dq.emplace_back(i);
}
return dp[n];
}
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n >> k >> s;
for(int i=0,ia=0,ib=0;i<2*n;i++){
if(s[i]=='A'){
a[++ia]=ib;
}else{
ib++;
b[ib]=max(ib,ia);
}
}
for(int i=1;i<=n;i++)qs[i]=qs[i-1]+a[i];
ll l=0,r=1LL*n*n,ans;
while(l<=r){
ll m=(l+r)/2;
auto [val,cnt]=solve(m);
if(cnt>=k)ans=val-m*k,l=m+1;
else r=m-1;
}
cout << ans;
}
Compilation message
chorus.cpp: In function 'int main()':
chorus.cpp:77:14: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
77 | auto [val,cnt]=solve(m);
| ^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 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 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 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 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 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 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 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 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 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 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
7 |
Halted |
0 ms |
0 KB |
- |