// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h>
using namespace std;
#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;
#ifndef DEBUG
#define cerr if (0) cerr
#endif
const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 2805;
const int MAXQ = 3000005;
struct thing {
int a, s, e, c;
};
struct line {
ll m, c;
bool operator< (const line &o) const {
return m < o.m;
}
ll isect(const line &o) const {
return (c - o.c) / (o.m - m);
}
ll eval(ll x) {
return m * x + c;
}
};
int n, q;
vector<thing> hor, ver;
vi vy, vx;
int adj[MAXN * 3][MAXN * 3][2];
ll dist[MAXN * 3][MAXN * 3];
iii qry[MAXQ];
ll ans[MAXQ];
viii dqry[MAXN * 3];
vector<pair<line, int>> dupd[MAXN * 3];
void dnc(viii qry, vector<pair<line, int>> upd, int lo, int hi) {
if (qry.empty()) {
return;
}
assert(!upd.empty());
if (lo == hi) {
assert(SZ(upd) == 1);
mxto(ans[get<2>(qry[0])], upd[0].FI.eval(get<0>(qry[0])));
return;
}
viii lqry, rqry;
vector<pair<line, int>> lupd, rupd;
int mid = lo + hi >> 1;
for (iii q : qry) {
if (get<1>(q) <= mid) {
lqry.pb(q);
} else {
rqry.pb(q);
}
}
for (pair<line, int> u : upd) {
if (u.SE <= mid) {
lupd.pb(u);
} else {
rupd.pb(u);
}
}
deque<line> hull;
auto insert = [&] (line l) {
if (!hull.empty() && l.m == hull.back().m) {
if (l.c >= hull.back().c) {
hull.pop_back();
} else {
return;
}
}
int n = SZ(hull);
while (n >= 2 && l.isect(hull[n - 1]) <= hull[n - 1].isect(hull[n - 2])) {
hull.pop_back();
n--;
}
hull.pb(l);
};
auto ask = [&] (ll x) {
while (SZ(hull) >= 2 && hull[1].eval(x) >= hull[0].eval(x)) {
hull.pop_front();
}
return hull[0].eval(x);
};
for (pair<line, int> u : rupd) {
insert(u.FI);
}
for (auto [x, _, id] : lqry) {
mxto(ans[id], ask(x));
}
dnc(lqry, lupd, lo, mid); dnc(rqry, rupd, mid + 1, hi);
}
int main() {
#ifndef DEBUG
ios::sync_with_stdio(0), cin.tie(0);
#endif
cin >> n >> q;
REP (i, 0, n) {
int t, a, b, c; cin >> t >> a >> b >> c;
if (a < b) {
hor.pb({t - a, a + t, b + t + (b - a), c / 2});
} else {
ver.pb({a + t, t - a, t + (a - b) - b, c / 2});
}
}
for (auto [a, s, e, c] : ver) {
vy.pb(s);
vy.pb(e);
}
for (auto [a, s, e, c] : hor) {
vy.pb(a);
}
sort(ALL(vy));
vy.resize(unique(ALL(vy)) - vy.begin());
for (auto [a, s, e, c] : hor) {
vx.pb(s);
vx.pb(e);
}
for (auto [a, s, e, c] : ver) {
vx.pb(a);
}
sort(ALL(vx));
vx.resize(unique(ALL(vx)) - vx.begin());
for (auto [a, s, e, c] : hor) {
int na = lower_bound(ALL(vy), a) - vy.begin(),
ns = lower_bound(ALL(vx), s) - vx.begin(),
ne = lower_bound(ALL(vx), e) - vx.begin();
REP (i, ns, ne) {
adj[na][i][0] = c;
}
}
for (auto [a, s, e, c] : ver) {
int na = lower_bound(ALL(vx), a) - vx.begin(),
ns = lower_bound(ALL(vy), s) - vy.begin(),
ne = lower_bound(ALL(vy), e) - vy.begin();
cerr << s << ' ' << e << ' ' << ns << ' ' << ne << '\n';
REP (i, ns, ne) {
adj[i][na][1] = c;
}
}
RREP (i, SZ(vy) - 1, 0) {
RREP (j, SZ(vx) - 1, 0) {
if (j + 1 < SZ(vx)) {
mxto(dist[i][j], dist[i][j + 1] +
(ll) adj[i][j][0] * (vx[j + 1] - vx[j]));
}
if (i + 1 < SZ(vy)) {
mxto(dist[i][j], dist[i + 1][j] +
(ll) adj[i][j][1] * (vy[i + 1] - vy[i]));
}
cerr << vy[i] << ' ' << vx[j] << ": " << dist[i][j] << '\n';
}
}
REP (i, 0, q) {
int t, x; cin >> t >> x;
qry[i] = {t + x, t - x, i};
}
REP (i, 0, q) {
auto [x, y, id] = qry[i];
int lby = lower_bound(ALL(vy), y) - vy.begin(),
lbx = lower_bound(ALL(vx), x) - vx.begin();
if (lby >= SZ(vy)) {
continue;
}
dqry[lby].pb({vy[lby] - y, lbx, id});
/*
while (ptr[lby] >= lbx) {
hulls[lby].insert({adj[lby][ptr[lby]][1], dist[lby][ptr[lby]]});
ptr[lby]--;
}
mxto(ans[id], hulls[lby].qry(vy[lby] - y));
*/
}
REP (i, 0, SZ(vy)) {
REP (j, 0, SZ(vx)) {
dupd[i].pb({line{i == 0 ? 0 : adj[i - 1][j][1], dist[i][j]}, j});
}
}
REP (i, 0, SZ(vy)) {
sort(ALL(dqry[i])); sort(ALL(dupd[i]));
dnc(dqry[i], dupd[i], 0, SZ(vx) - 1);
}
REP (i, 0, SZ(vx)) {
dqry[i].clear(); dupd[i].clear();
}
REP (i, 0, q) {
auto [x, y, id] = qry[i];
int lby = lower_bound(ALL(vy), y) - vy.begin(),
lbx = lower_bound(ALL(vx), x) - vx.begin();
if (lbx >= SZ(vx)) {
continue;
}
dqry[lbx].pb({vx[lbx] - x, lby, id});
/*
while (ptr[lbx] >= lby) {
hulls[lbx].insert({adj[lbx][ptr[lbx]][0], dist[lbx][ptr[lbx]]});
ptr[lbx]--;
}
mxto(ans[id], hulls[lbx].qry(vx[lbx] - x));
*/
}
REP (i, 0, SZ(vy)) {
REP (j, 0, SZ(vx)) {
dupd[j].pb({line{j == 0 ? 0 : adj[i][j - 1][0], dist[i][j]}, i});
}
}
REP (i, 0, SZ(vx)) {
sort(ALL(dqry[i])); sort(ALL(dupd[i]));
dnc(dqry[i], dupd[i], 0, SZ(vy) - 1);
}
REP (i, 0, q) {
cout << ans[i] << '\n';
}
return 0;
}
/*
2 2
1 2 1 4
3 1 3 2
1 2
3 3
*/
Compilation message
bodyguard.cpp: In function 'void dnc(viii, std::vector<std::pair<line, int> >, int, int)':
bodyguard.cpp:77:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
77 | int mid = lo + hi >> 1;
| ~~~^~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
8683 ms |
549412 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
2601 ms |
704048 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
2601 ms |
704048 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
2601 ms |
704048 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
8683 ms |
549412 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
