| # | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
|---|---|---|---|---|---|---|---|
| 583426 | 2022-06-25T10:48:19 Z | AriaH | Bodyguard (JOI21_bodyguard) | C++17 | 0 ms | 0 KB |
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair < int, int > pii;
typedef pair < ll, ll > pll;
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define SZ(x) (int)x.size()
#define Mp make_pair
#define endl "\n"
#define fast_io ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define int ll
const int M = 3e3 + 10;
const int N = 2 * N;
const int N2 = 3e6 + 10;
const int LOG = 20;
const ll mod = 1e9 + 7;
const ll inf = 4e9;
typedef pair < ll , ll > Line;
struct CHT{
set < pair < Line , ll > > S;
set < pair < ll , Line > > I;
ll INF = 4e18;
inline void Add(Line X)
{
ll t = -INF;
auto it = S.lower_bound({X, -INF});
while ((int)S.size())
{
if (it == S.begin())
{t = -INF; break;}
it --; ll r = Intersection(it->first, X);
if (r <= it->second)
I.erase({it->second, it->first}), it = S.erase(it);
else
{t = r; break;}
}
it = S.lower_bound({X, -INF});
while ((int)S.size())
{
if (it == S.end())
break;
ll r = Intersection(X, it->first);
Line Y = it->first;
I.erase({it->second, it->first});
it = S.erase(it);
if (r <= t)
{
r = -INF;
if (it != S.begin())
it --, r = Intersection(it->first, Y);
S.insert({Y, r}); I.insert({r, Y}); return ;
}
if (it != S.end() && it->second <= r)
continue;
S.insert({Y, r}); I.insert({r, Y}); break;
}
S.insert({X, t}); I.insert({t, X});
}
inline ll GetMax(ll X)
{
auto it = I.upper_bound({X, {INF, INF}}); it --;
return (X * it->second.first + it->second.second);
}
inline ll Intersection(Line X, Line Y)
{
if (X.first == Y.first && X.second <= Y.second)
return (-INF);
if (X.first == Y.first)
return (INF);
return ((X.second - Y.second) / (Y.first - X.first)) + ((X.second - Y.second) % (Y.first - X.first) > 0);
}
};
CHT row[N], col[N];
int n, q, T[M], T2[M], fir[M], sec[M], C[M], dp[N][N], R[N][N], U[N][N], Qa[N2], Qb[N2], Ans[N2], EX[N2], EY[N2];
vector < int > cmx, cmy;
vector < int > vec[N][N];
void Add(int a, int b)
{
cmx.push_back(a);
cmy.push_back(b);
}
inline int lwrx(int a) { return lower_bound(all(cmx), a) - cmx.begin(); }
inline int lwry(int a) { return lower_bound(all(cmy), a) - cmy.begin(); }
pii ask(int a, int b)
{
return Mp(lwrx(a), lwry(b));
}
signed main()
{
fast_io;
cin >> n >> q;
for(int i = 1; i <= n; i ++)
{
cin >> T[i] >> fir[i] >> sec[i] >> C[i];
T2[i] = T[i] + abs(fir[i] - sec[i]);
C[i] /= 2;
Add(T[i] + fir[i], T[i] - fir[i]);
Add(T2[i] + sec[i], T2[i] - sec[i]);
}
Add(inf, inf);
Add(-inf, -inf);
sort(all(cmx));
sort(all(cmy));
cmx.resize(unique(all(cmx)) - cmx.begin());
cmy.resize(unique(all(cmy)) - cmy.begin());
for(int i = 1; i <= q; i ++)
{
cin >> Qa[i] >> Qb[i];
int a = lwrx(Qa[i] + Qb[i]), b = lwry(Qa[i] - Qb[i]);
vec[a][b].push_back(i);
EX[i] = cmx[a] - (Qa[i] + Qb[i]);
EY[i] = cmy[b] - (Qa[i] - Qb[i]);
}
int sz1 = SZ(cmx), sz2 = SZ(cmy);
for(int i = 1; i <= n; i ++)
{
pii A = ask(T[i] + fir[i], T[i] - fir[i]), B = ask(T2[i] + sec[i], T2[i] - sec[i]);
if(A.F == B.F) /// going up
{
for(int j = A.S; j < B.S; j ++)
{
U[A.F][j] = max(U[A.F][j], C[i]);
}
}
else /// going right
{
for(int j = A.F; j < B.F; j ++)
{
R[j][A.S] = max(R[j][A.S], C[i]);
}
}
}
for(int i = sz1 - 1; i > 0; i --)
{
for(int j = sz2 - 1; j > 0; j --)
{
if(i + 1 < sz1 && j + 1 < sz2)
{
dp[i][j] = max(dp[i][j], dp[i + 1][j] + R[i][j] * (cmx[i + 1] - cmx[i]));
dp[i][j] = max(dp[i][j], dp[i][j + 1] + U[i][j] * (cmy[j + 1] - cmy[j]));
}
col[i].Add({R[i - 1][j], dp[i][j]});
row[j].Add({U[i][j - 1], dp[i][j]});
for(auto id : vec[i][j])
{
Ans[id] = max(row[j].GetMax(EY[id]), col[i].GetMax(EX[id]));
}
}
}
for(int i = 1; i <= q; i ++)
{
cout << Ans[i] << endl;
}
return 0;
}