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C.cpp
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71 lines (70 loc) · 1.59 KB
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/*
© 2020-09-30 09:35:01 Franco1010 All Rights Reserved
*/
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
#pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
#define f first
#define s second
#define fore(i,a,b) for(int i = (a), ThxMK = (b); i < ThxMK; ++i)
#define pb push_back
#define all(s) begin(s), end(s)
#define _ ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define sz(s) int(s.size())
#define ENDL '\n'
using namespace std;
typedef long double ld;
typedef long long lli;
typedef pair<lli,lli> ii;
typedef vector<lli> vi;
#define deb(x) cout << #x": " << (x) << endl;
const ld EPS = 1e-6;
bool geq(ld a, ld b){ return a - b >= -EPS; }
bool leq(ld a, ld b){ return b - a >= -EPS; }
ld f(vi &v, ld len, ld time){
ld l = 0, r = len;
ld t = time, ac = 1;
for(auto i : v){
if(geq(l + (t * ac), i)){
t -= (i - l) / ac;
l = i;
ac++;
}else break;
}
l += t * ac;
t = time, ac = 1;
for(lli i = sz(v) - 1; i >= 0; i--){
if(leq(r - (t * ac), v[i])){
t -= (r - v[i]) / ac;
r = v[i];
ac++;
}else break;
}
r -= t * ac;
// cout << l << ' ' << r << ENDL;
return fabs(l - r);
}
ld ts(vi &v, ld len){
ld l = 0, r = 2e9 + 1;
fore(i, 0, 200){
ld m1 = l + (r - l) / 3;
ld m2 = r - (r - l) / 3;
if(f(v, len, m1) < f(v, len, m2)) r = m2;
else l = m1;
}
return l;
}
int main(){ _
lli t; cin >> t;
while(t--){
lli n, l; cin >> n >> l;
vi v(n);
fore(i, 0, n){
cin >> v[i];
}
cout << fixed << setprecision(6);
cout << ts(v, l) << ENDL;
// deb(f(v, l, 3));
}
return 0;
}