#include "overtaking.h"
#include<bits/stdc++.h>
#define int long long
#define f0r(i,n) for(int i = 0; i<n; i++)
#define pb push_back
#define mp make_pair
#define vi vector<int>
#define mii map<int,int>
#define pii pair<int,int>
#define vpii vector<pii>
#define FOR(i, k, n) for(int i = k; i<n; i++)
#define vb vector<bool>
#define vout(v) for(auto u : v)cout<<u<<' '; cout<<endl;
using namespace std;
int l, n, nspeed, m;
vi t, speed, s;
void init(signed L, signed N, std::vector<long long> T, std::vector<signed> W, signed X, signed M, std::vector<signed> S)
{
l=L; n=N; t=T; nspeed=X; m=M;
speed.resize(n); f0r(i,n)speed[i] = W[i];
s.resize(n); f0r(i,n)s[i] = S[i];
return;
}
long long arrival_time(long long y)
{
if(n == 1){
if(nspeed <= speed[0])return y + l * nspeed;
else{
if(y <= t[0])return y + l * nspeed;
else{
double dif = (y - t[0]) / (speed[0] + 0.0); //position of 0 when 1 departs
double nxtp = dif * (nspeed - speed[0]); // time taken to catch up
double pos = nxtp / (nspeed + 0.0);
int lo = 0; int hi = m; //find first sorting station >= pos
while(lo < hi){
int mid = lo + (hi - lo) / 2;
if(s[mid] >= pos){
hi = mid;
}
else{
lo = mid + 1;
}
}
if(lo == m)return y + l * nspeed;
else{
return t[0] + speed[0] * s[lo] + (s[m-1] - s[lo]) * nspeed;
}
}
}
}
return 0;
}
