#include <bits/stdc++.h>
#include "overtaking.h"
using namespace std;
#define long long long
long l, n, x, m;
vector<long> w, s;
vector<vector<long>> t, e, v, pre;
void init(int L, int N, vector<long> T, vector<int> W, int X, int M, vector<int> S) {
l = L, x = X, m = M, n = N;
s.assign(S.begin(), S.end());
w.assign(W.begin(), W.end());
t.resize(m); t[0].assign(T.begin(), T.end());
w.push_back(X); t[0].push_back(0);
e.assign(m, vector<long>(n + 1));
v.assign(m, vector<long>(n));
pre.assign(m, vector<long>(n));
for (long i = 1; i < m; i++) {
t[i] = vector<long>(n + 1);
for (long j = 0; j < n; j++) {
v[i][j] = j;
e[i][j] = t[i - 1][j] + w[j] * (s[i] - s[i - 1]);
}
sort(v[i].begin(), v[i].end(),
[&](const long &a, const long &b) {
return t[i - 1][a] < t[i - 1][b];
}
);
pre[i][0] = e[i][v[i][0]];
for (long j = 1; j < n; j++) {
pre[i][j] = max(e[i][v[i][j]], pre[i][j - 1]);
}
for (long j = 0; j < n; j++) {
long L = 0, R = j - 1;
while (L < R) {
M = (L + R + 1) / 2;
if (t[i - 1][v[i][M]] < t[i - 1][v[i][j]]) L = M;
else R = M - 1;
}
if (t[i - 1][v[i][j]] == t[i - 1][v[i][0]]) t[i][v[i][j]] = e[i][v[i][j]];
else t[i][v[i][j]] = max(e[i][v[i][j]], pre[i][L]);
}
}
}
long arrival_time(long y) {
t[0][n] = y;
for (long i = 1; i < m; i++) {
e[i][n] = t[i - 1][n] + w[n] * (s[i] - s[i - 1]);
long L = 0, R = n - 1;
while (L < R) {
long M = (L + R + 1) / 2;
if (t[i - 1][v[i][M]] < t[i - 1][n]) L = M;
else R = M - 1;
}
if (t[i - 1][n] <= t[i - 1][v[i][0]]) t[i][n] = e[i][n];
else t[i][n] = max(e[i][n], pre[i][L]);
}
return t[m - 1][n];
}
