#include "overtaking.h"
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
typedef long long llong;
const int MAXN = 1000 + 10;
const int MAXQ = 5000 + 10;
llong x;
int n, m, l;
std::vector <int> s;
std::vector <std::pair <llong,int>> buses;
std::vector <std::pair <llong,llong>> t[MAXN];
std::vector <llong> ifBegining[MAXN];
llong min[MAXN];
int findIntersection(int pos, llong time)
{
int l = 0, r = t[pos].size(), mid;
while (l < r - 1)
{
mid = l + r >> 1;
if (t[pos][mid].first < time) l = mid;
else r = mid;
}
return l;
}
long long my_arrival_time(int pos, llong time)
{
for (int i = pos ; i + 1 < m ; ++i)
{
int l = 0, r = t[i].size(), mid;
while (l < r - 1)
{
mid = l + r >> 1;
if (t[i][mid].first < time) l = mid;
else r = mid;
}
time = std::max(time + 1LL * x * (s[i + 1] - s[i]), t[i][l].second);
}
return time;
}
void init(int L, int N, std::vector <long long> T, std::vector <int> W, int X, int M, std::vector <int> S)
{
n = N;
m = M;
s = S;
x = X;
for (int i = 0 ; i < n ; ++i)
{
buses.push_back({T[i], W[i]});
}
for (int i = 0 ; i + 1 < m ; ++i)
{
t[i].push_back({-1, 0});
std::vector <std::pair <llong,int>> newBuses;
std::sort(buses.begin(), buses.end());
for (const auto &[time, w] : buses)
{
llong arrive = 1LL * (s[i + 1] - s[i]) * w + time;
if (arrive > t[i].back().second)
{
t[i].push_back({time, arrive});
}
newBuses.push_back({t[i].back().second, w});
}
buses = newBuses;
}
std::vector <std::pair <int,int>> v;
for (int i = 0 ; i + 1 < m ; ++i)
{
for (int j = 1 ; j < t[i].size() ; ++j)
{
v.push_back({i, j});
}
}
std::sort(v.begin(), v.end(), [&](auto &a, auto &b)
{
return t[a.first][a.second].second - 1LL * s[a.first + 1] * x > t[b.first][b.second].second - 1LL * s[b.first + 1] * x;
});
for (int i = 0 ; i + 1 < m ; ++i)
{
ifBegining[i].resize(t[i].size());
}
std::fill(min, min + m, 1e18);
for (const auto &[i, j] : v)
{
bool done = false;
ifBegining[i][j] = 1LL * (s[m - 1] - s[i + 1]) * x + t[i][j].second;
for (int u = i + 1 ; u + 1 < m ; ++u)
{
if (min[u] >= t[i][j].second - 1LL * s[i + 1] * x)
{
continue;
}
int l = 0, r = t[u].size(), mid;
while (l < r - 1)
{
mid = l + r >> 1;
if (t[i][j].second - 1LL * s[i + 1] * x >= t[u][mid].second - 1LL * s[u + 1] * x ||
t[i][j].second - 1LL * s[i + 1] * x <= t[u][mid].first - 1LL * s[u] * x) l = mid;
else r = mid;
}
assert(r != t[u].size());
ifBegining[i][j] = ifBegining[u][r];
break;
}
min[i] = std::min(min[i], t[i][j].first - 1LL * s[i] * x);
}
}
long long arrival_time(llong time)
{
for (int i = 0 ; i + 1 < m ; ++i)
{
int l = 0, r = t[i].size(), mid;
while (l < r - 1)
{
mid = l + r >> 1;
if (t[i][mid].first < time) l = mid;
else r = mid;
}
if (l != 0 && time + 1LL * x * (s[i + 1] - s[i]) < t[i][l].second)
{
return ifBegining[i][l];
}
time += 1LL * x * (s[i + 1] - s[i]);
}
return time;
}
