This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define int ll
#define pii pair<int, int>
#define ff first
#define ss second
#define ld long double
#define pb push_back
pii a[200100];
bool cmp(pii a, pii b){
return a.ss < b.ss;
}
void solve(){
int n, k;
cin>>n>>k;
int dmx = 0;
for(int i=1; i<=n; i++){
cin>>a[i].ff>>a[i].ss;
if(a[i].ss == -1){
a[i].ss = 1e9;
}
}
sort(a + 1, a + 1 + n, cmp);
//for(int i=1; i<=n; i++) cout<<a[i].ff<<' '<<a[i].ss<<'\n';
ld ans = 1e18;
for(ld D=1; D<=k+1; D++){
vector<int> d;
ld res = 0;
int m = k - D+1;
int ok = 1;
for(int i=1; i<=D-1; i++){
d.pb(i);
res += 1.0 * a[i].ss / i;
}
multiset<pii> dd, wl;
for(int i=D; i<=n; i++){
dd.insert({a[i].ff, i});
if(dd.size() > m){
wl.insert(*--(dd.end()));
dd.erase(--(dd.end()));
}
}
for(pii x: dd){
res += x.ff / D;
}
//cout<<"________________\n";
//cout<<D<<'\n';
ans = min(ans, res);
for(int i=D; i<=n; i++){
pair<ld, int> mn{1e18, -1};
res += a[i].ss / D;
d.pb(i);
int mx;
if(dd.find({a[i].ff, i}) != dd.end()){
dd.erase(dd.find({a[i].ff, i}));
res -= a[i].ff / D;
if(wl.size() == 0){
mx = 0;
}
else{
dd.insert(*wl.begin());
res += (*wl.begin()).ff / D;
wl.erase(wl.begin());
mx = (*dd.rbegin()).ff;
}
}
else{
mx = (dd.size() ?(*dd.rbegin()).ff :0);
}
ld g = 0;
for(int i=d.size() - 1; i>=0; i--){
int j = d[i];
if(mx == 0){
mn = min(mn, {-a[j].ss * 1.0 / (i + 1) + g + a[j].ff / D, j});
}
else{
if(a[j].ff < mx){
mn = min(mn, {-a[j].ss * 1.0 / (i + 1) + g - mx / D + a[j].ff / D, j});
}
else{
mn = min(mn, {-a[j].ss * 1.0 / (i + 1) + g, j});
}
}
if(i > 0) g += -a[j].ss * 1.0 / (i + 1) + a[j].ss * 1.0 / i;
}
res += mn.ff;
dd.insert({a[mn.ss].ff, mn.ss});
if(dd.size() > m){
wl.insert(*--(dd.end()));
dd.erase(--(dd.end()));
}
ans = min(ans, res);
vector<int> dq;
for(int x: d){
if(x != mn.ss) dq.pb(x);
}
d =dq;
//cout<<res<<'\n';
//for(pii x: dd) cout<<x.ff<<' '<<x.ss<<'\n';
}
}
cout<<fixed<<setprecision(6)<<ans<<'\n';
}
signed main(){
solve();
}
Compilation message (stderr)
Main.cpp: In function 'void solve()':
Main.cpp:45:26: warning: comparison of integer expressions of different signedness: 'std::multiset<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
45 | if(dd.size() > m){
| ~~~~~~~~~~^~~
Main.cpp:95:26: warning: comparison of integer expressions of different signedness: 'std::multiset<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} and 'long long int' [-Wsign-compare]
95 | if(dd.size() > m){
| ~~~~~~~~~~^~~
Main.cpp:37:13: warning: unused variable 'ok' [-Wunused-variable]
37 | int ok = 1;
| ^~
Main.cpp:23:9: warning: unused variable 'dmx' [-Wunused-variable]
23 | int dmx = 0;
| ^~~
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