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| #include <algorithm>
#include <iostream>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <cstring>
#include <stack>
#include <cmath>
// #include <bits/stdc++.h>
using namespace std;
#define FASTIO ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define command_param int argc, char *argv[]
#define for0(i, n) for(int i = 0; i < n; i++)
#define for1(i, n) for(int i = 1; i < n; i++)
#define fori(s, e) for(int i = s; i < e; i++)
#define ll long long
#define endl "\n"
#define nulls '\0'
#define dkdk " "
const int MAX = 2002;
const int INF = 987654321;
int x, y, d, t, p;
int main() {
FASTIO;
cin >> x >> y >> d >> t;
cout<<fixed; cout.precision(11);
double dis = sqrt(pow(x, 2) + pow(y, 2)), r;
int p = (int)dis / d; r = dis - p*d;
if(p) cout << min({ dis, t * p + r, (double)t * (p - 1) + 2 * t, t * (p + 1) + abs(r - d) });
else cout << min({ dis, t + abs(d - r), (double)2 * t });
return 0;
}
|