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A.cpp
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50 lines (43 loc) · 1.39 KB
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#include <bits/stdc++.h>
#define int long long
#define FOR(i,a,b) for(int i=(a),_b=(b); i<=_b; ++i)
#define FORD(i,a,b) for(int i=(a),_b=(b); i>=_b; --i)
#define REP(i,a) for(int i=0,_a=(a); i < _a; ++i)
#define DEBUG(X) { cout << #X << " = " << (X) << endl; }
#define PR(A,n) { cout << #A << " = "; FOR(_,1,n) cout << A[_] << ' '; cout << endl; }
#define PR0(A,n) { cout << #A << " = "; REP(_,n) cout << A[_] << ' '; cout << endl; }
#define sqr(x) ((x) * (x))
#define ll long long
#define __builtin_popcount __builtin_popcountll
#define SZ(x) ((int) (x).size())
using namespace std;
double safe_sqrt(double x) {
return sqrt(max((double)0.0,x));
}
int GI(ll& x) {
return scanf("%lld", &x);
}
int n, l, v1, v2, k;
int group;
bool check(double t) {
double t2 = (l - t * v1) / (v2 - v1);
double dist = t2 * (v2 - v1);
double gap = dist / (v1 + v2);
return t2 * group + gap * (group - 1) <= t;
}
#undef int
int main() {
#define int long long
ios :: sync_with_stdio(0); cin.tie(0);
cout << (fixed) << setprecision(9);
while (cin >> n >> l >> v1 >> v2 >> k) {
group = (n + k - 1) / k;
double left = 0.0, right = l / (double) v1;
REP(turn,100) {
double mid = (left + right) / 2.0;
if (check(mid)) right = mid;
else left = mid;
}
cout << left << endl;
}
}