#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("arch=skylake")
#include<bits/stdc++.h>
#define ll int
#define pll pair<ll, ll>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define ld long double
using namespace std;
const long long inf=2e6, maxn=1e6+5;
ll n, k, cnt[maxn], to[maxn];
long long dp[maxn], pre[maxn];
struct Line
{
long long a=inf, b=inf;
ll idx=0;
Line(){}
Line(long long a, long long b, ll idx): a(a), b(b), idx(idx){}
inline pair<long long, ll> ask(long long x)
{
if (a==inf) return {inf*inf, idx};
return {a*x+b, idx};
}
};
struct Node
{
Line A;
Node *l, *r;
};
struct Lichao
{
Node *root=new Node();
inline void addline(Line A)
{
ll Start=-inf, End=inf;
Node *i=root;
while (1)
{
if (A.a==inf) break;
ll mid=(Start+End)/2;
bool l=A.ask(Start).fi<i->A.ask(Start).fi;
bool m=A.ask(mid).fi<i->A.ask(mid).fi;
if (m) swap(A, i->A);
if (Start+1!=End)
{
if (l!=m)
{
if (!i->l)
i->l=new Node();
i=i->l;
End=mid;
}
else
{
if (!i->r)
i->r=new Node();
i=i->r;
Start=mid;
}
}
else break;
}
}
inline pair<long long, ll> query(long long x)
{
Node *i=root;
ll Start=-inf, End=inf;
pair<long long, ll> ans={inf*inf, 0};
while (1)
{
ll mid=(Start+End)/2;
ans=min(ans, i->A.ask(x));
if (x<mid && i->l)
{
i=i->l;
End=mid;
}
else if (x>=mid && i->r)
{
i=i->r;
Start=mid;
}
else break;
}
return ans;
}
void destroy(Node *p)
{
if (p->l) destroy(p->l);
if (p->r) destroy(p->r);
delete(p);
}
};
pair<long long, ll> solve(long long C)
{
ll crr=1;
Lichao A; A.addline(Line(0, -pre[to[0]-1], 0));
for (ll i=1; i<=n; i++)
dp[i]=inf*inf, cnt[i]=0;
for (ll i=1; i<=n; i++)
{
while (crr<i && to[crr]<=i)
A.addline(Line(-crr, -(pre[to[crr]-1]-(to[crr]-1)*crr)+dp[crr], cnt[crr])), crr++;
tie(dp[i], cnt[i])=A.query(i);
dp[i]+=C+pre[i], cnt[i]++;
if (crr<i && dp[crr]+C<dp[i])
dp[i]=dp[crr]+C, cnt[i]=cnt[crr]+1;
}
A.destroy(A.root);
return {dp[n], cnt[n]};
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n >> k;
string s; cin >> s;
ll x=0, y=0, crr=1;
for (ll i=0; i<n*2; i++)
{
if (s[i]=='A')
x++, pre[x]=pre[x-1]+y;
else y++;
}
for (ll i=1; i<=n; i++)
while (crr<=pre[i]-pre[i-1])
to[crr]=i, crr++;
while (crr<=n) to[crr]=n+1, crr++;
for (ll i=0; i<=n; i++)
if (to[i]<=i)
to[i]=i+1;
long long lo=0, hi=n*n;
while (hi>lo)
{
ll mid=(lo+hi)/2;
if (solve(mid).se<=k)
hi=mid;
else lo=mid+1;
}
cout << solve(lo).fi-k*lo;
}
Compilation message
In file included from /usr/include/x86_64-linux-gnu/c++/10/bits/gthr.h:148,
from /usr/include/c++/10/ext/atomicity.h:35,
from /usr/include/c++/10/bits/ios_base.h:39,
from /usr/include/c++/10/ios:42,
from /usr/include/c++/10/istream:38,
from /usr/include/c++/10/sstream:38,
from /usr/include/c++/10/complex:45,
from /usr/include/c++/10/ccomplex:39,
from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:54,
from chorus.cpp:3:
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:102:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
102 | __gthrw(pthread_once)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:102:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:103:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
103 | __gthrw(pthread_getspecific)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:103:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:104:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
104 | __gthrw(pthread_setspecific)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:104:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:106:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
106 | __gthrw(pthread_create)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:106:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:107:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
107 | __gthrw(pthread_join)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:107:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:108:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
108 | __gthrw(pthread_equal)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:108:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:109:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
109 | __gthrw(pthread_self)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:109:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:110:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
110 | __gthrw(pthread_detach)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:110:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:112:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
112 | __gthrw(pthread_cancel)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:112:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:114:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
114 | __gthrw(sched_yield)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:114:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:116:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
116 | __gthrw(pthread_mutex_lock)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:116:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:117:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
117 | __gthrw(pthread_mutex_trylock)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:117:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:119:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
119 | __gthrw(pthread_mutex_timedlock)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:119:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:121:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
121 | __gthrw(pthread_mutex_unlock)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:121:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:122:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
122 | __gthrw(pthread_mutex_init)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:122:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:123:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
123 | __gthrw(pthread_mutex_destroy)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:123:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:125:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
125 | __gthrw(pthread_cond_init)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:125:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:126:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
126 | __gthrw(pthread_cond_broadcast)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:126:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:127:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
127 | __gthrw(pthread_cond_signal)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:127:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:128:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
128 | __gthrw(pthread_cond_wait)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:128:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:129:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
129 | __gthrw(pthread_cond_timedwait)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:129:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:130:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
130 | __gthrw(pthread_cond_destroy)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:130:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:132:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
132 | __gthrw(pthread_key_create)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:132:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:133:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
133 | __gthrw(pthread_key_delete)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:133:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:134:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
134 | __gthrw(pthread_mutexattr_init)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:134:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:135:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
135 | __gthrw(pthread_mutexattr_settype)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:135:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:136:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
136 | __gthrw(pthread_mutexattr_destroy)
| ^~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:136:1: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:237:10: error: attribute value 'arch=skylake' was already specified in 'target' attribute
237 | __gthrw2(__gthrw_(__pthread_key_create),
| ^~~~~~~~
/usr/include/x86_64-linux-gnu/c++/10/bits/gthr-default.h:237:10: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/c++/10/shared_mutex:73:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
73 | _GLIBCXX_GTHRW(rwlock_rdlock)
| ^~~~~~~~~~~~~~
/usr/include/c++/10/shared_mutex:73:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/c++/10/shared_mutex:74:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
74 | _GLIBCXX_GTHRW(rwlock_tryrdlock)
| ^~~~~~~~~~~~~~
/usr/include/c++/10/shared_mutex:74:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/c++/10/shared_mutex:75:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
75 | _GLIBCXX_GTHRW(rwlock_wrlock)
| ^~~~~~~~~~~~~~
/usr/include/c++/10/shared_mutex:75:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/c++/10/shared_mutex:76:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
76 | _GLIBCXX_GTHRW(rwlock_trywrlock)
| ^~~~~~~~~~~~~~
/usr/include/c++/10/shared_mutex:76:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/c++/10/shared_mutex:77:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
77 | _GLIBCXX_GTHRW(rwlock_unlock)
| ^~~~~~~~~~~~~~
/usr/include/c++/10/shared_mutex:77:3: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/c++/10/shared_mutex:91:4: error: attribute value 'arch=skylake' was already specified in 'target' attribute
91 | __gthrw(pthread_rwlock_timedrdlock);
| ^~~~~~~
/usr/include/c++/10/shared_mutex:91:4: error: attribute value 'arch=skylake' was already specified in 'target' attribute
/usr/include/c++/10/shared_mutex:101:4: error: attribute value 'arch=skylake' was already specified in 'target' attribute
101 | __gthrw(pthread_rwlock_timedwrlock);
| ^~~~~~~
/usr/include/c++/10/shared_mutex:101:4: error: attribute value 'arch=skylake' was already specified in 'target' attribute
