#include "overtaking.h"
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define ll long long
#define endl "\n"
using namespace std;
using namespace __gnu_pbds;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T, typename key = less<T>>
using ordered_set = tree<T, null_type, key, rb_tree_tag, tree_order_statistics_node_update>;
const ll N = 1005, inf = 9e18;
pair<ll, ll> mx[N][N];
vector<pair<ll, ll>> tmp[N];
set<array<ll, 3>> st;
ll dp[N][N];
ll t[N][N];
ll v[N], s[N];
ll n, m, X;
void add(ll l, ll r, ll x)
{
if (l > r)
return;
set<array<ll, 3>>::iterator it;
while ((it = st.lower_bound({l, -inf, -inf})) != st.end() and (*it)[1] <= r)
st.erase(it);
if (it != st.end() and (*it)[0] <= r)
{
auto [l1, r1, x1] = *it;
st.erase(it);
st.insert({r + 1, r1, x1});
assert(r + 1 <= r1);
}
it = st.lower_bound({l, -inf, -inf});
if (it != st.begin())
{
it--;
if ((*it)[1] >= l)
{
auto [l1, r1, x1] = *it;
st.erase(it);
st.insert({l1, l - 1, x1});
if (r1 >= r) st.insert({r + 1, r1, x1});
assert(l1 <= l - 1);
}
}
st.insert({l, r, x});
}
ll getpoint(ll x)
{
auto it = st.upper_bound({x, inf, inf});
if (it != st.begin())
{
it--;
if (it->operator[](1) >= x)
return it->operator[](2);
}
return -1;
}
void init(int L, int N, std::vector<long long> T, std::vector<int> W, int x_, int M, std::vector<int> S)
{
X = x_;
n = N, m = M;
for (ll i = 0; i < n; i++)
t[i][0] = T[i];
for (ll i = 0; i < n; i++)
v[i] = W[i];
v[n] = X;
for (ll i = 0; i < m; i++)
s[i] = S[i];
for (ll i = 0; i < n; i++)
tmp[0].push_back(make_pair(t[i][0], i));
sort(tmp[0].begin(), tmp[0].end());
for (ll i = 1; i < m; i++)
{
for (ll x = 0; x < n; x++)
{
ll j = tmp[i - 1][x].second;
t[j][i] = t[j][i - 1] + v[j] * (s[i] - s[i - 1]);
mx[i][x] = max(x > 0 ? mx[i][x - 1] : make_pair(0ll, 0ll), make_pair(t[j][i], j));
ll pos = 0ll + lower_bound(tmp[i - 1].begin(), tmp[i - 1].end(), make_pair(t[j][i - 1], -1ll)) - tmp[i - 1].begin() - 1;
if (pos >= 0)
t[j][i] = max(t[j][i], mx[i][pos].first);
}
for (ll j = 0; j < n; j++)
tmp[i].push_back(make_pair(t[j][i], j));
sort(tmp[i].begin(), tmp[i].end());
}
for (ll i = m - 1; i >= 0; i--)
{
for (ll j = 0, pt, last, pos; j < n; j++)
{
pt = getpoint(t[j][i] - s[i] * X);
if (pt == -1)
dp[i][j] = t[j][i] + (L - s[i]) * X;
else
{
last = t[j][i] + (s[pt - 1] - s[i]) * X;
pos = lower_bound(tmp[pt - 1].begin(), tmp[pt - 1].end(), make_pair(last, -1ll)) - tmp[pt - 1].begin() - 1;
if (pos >= 0)
dp[i][j] = dp[pt][mx[pt][pos].second];
else
assert(0 == 1);
}
}
if (i)
for (ll j = 0; j < n; j++)
add(t[j][i - 1] - s[i - 1] * X + 1, t[j][i] - s[i] * X, i);
}
}
long long arrival_time(long long cur)
{
ll pt = getpoint(cur);
if (pt == -1)
return cur + s[m - 1] * X;
ll last = cur + s[pt - 1] * X;
ll pos = lower_bound(tmp[pt - 1].begin(), tmp[pt - 1].end(), make_pair(last, -1ll)) - tmp[pt - 1].begin() - 1;
return dp[pt][mx[pt][pos].second];
}
