# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1063605 | TimDee | Seesaw (JOI22_seesaw) | C++17 | 0 ms | 344 KiB |
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 forn(i,n) for(int i=0; i<n; ++i)
#define vii(a,n) vector<int> a(n); forn(i,n) cin>>a[i];
#define f first
#define s second
#define pb push_back
#define all(x) x.begin(),x.end()
const int N=1005;
double med[N][N];
int a[N];
double bad(int n) {
vector<pair<double,int>> v;
forn(i,n) {
int s=0;
for(int j=i; j<n; ++j) {
s+=a[j];
double z = 1.0*s/(j-i+1);
v.pb({z,j-i});
}
}
sort(all(v));
vector<int> cnt(n);
int tot=0;
int r=0;
double ans=a[n-1]-a[0];
forn(i,v.size()) {
while (r<v.size() && tot<n) {
tot+=!cnt[v[r].s];
++cnt[v[r].s];
++r;
}
if (tot==n) ans=min(ans,v[r-1].f - v[i].f);
--cnt[v[i].s];
tot-=!cnt[v[i].s];
}
return ans;
cout<<fixed<<setprecision(10)<<ans<<'\n';
}
double good(int n) {
int sum=0; forn(i,n) sum+=a[i];
double ans = 100;
forn(mask,1<<(n-1)) {
int l=0, r=n-1;
double lx=1.0*sum/n, rx=1.0*sum/n;
int s=sum;
forn(i,n-1) {
if ((mask>>i)&1) {
s-=a[l++];
} else {
s-=a[r--];
}
lx = min(lx,1.0*s/(r-l+1));
rx = max(rx,1.0*s/(r-l+1));
}
//cout<<"??? "<<mask<<" "<<lx<<' '<<rx<<'\n';
ans=min(ans,rx-lx);
}
return ans;
}
void solve() {
int n; cin>>n;
forn(i,n) cin>>a[i];
cout<<fixed<<setprecision(10)<<good(n)<<'\n';
}
mt19937 rng(1337);
int rand(int a, int b) {
return a + rng()%(b-a+1);
}
void gen() {
int n=rand(2,6);
a[0]=rand(1,10);
for(int i=1; i<n; ++i) a[i]=rand(a[i-1]+1,10+i);
auto f = good(n);
auto s = bad(n);
const double eps = 1e-9;
if (abs(f-s)>eps) {
cout<<"WA\n";
cout<<n<<'\n';
forn(i,n) cout<<a[i]<<' '; cout<<'\n';
cout<<fixed<<setprecision(10)<<"AC: "<<f<<" , WA: "<<s<<'\n';
exit(0);
}
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
//while (1) gen();
solve();
}
Compilation message (stderr)
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