結果

問題 No.1826 Fruits Collecting
ユーザー ei1333333
提出日時 2022-01-28 22:30:10
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
実行時間 -
コード長 7,389 bytes
コンパイル時間 5,300 ms
コンパイル使用メモリ 279,804 KB
最終ジャッジ日時 2025-01-27 16:57:08
ジャッジサーバーID
(参考情報)
judge1 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 29 TLE * 14
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using int64 = long long;
// const int mod = 1e9 + 7;
const int mod = 998244353;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 > &p) {
os << p.first << " " << p.second;
return os;
}
template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
is >> p.first >> p.second;
return is;
}
template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
for(int i = 0; i < (int) v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
for(T &in: v) is >> in;
return is;
}
template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }
template< typename T = int64 >
vector< T > make_v(size_t a) {
return vector< T >(a);
}
template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}
template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
t = v;
}
template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
for(auto &e: t) fill_v(e, v);
}
template< typename F >
struct FixPoint : F {
FixPoint(F &&f) : F(forward< F >(f)) {}
template< typename... Args >
decltype(auto) operator()(Args &&... args) const {
return F::operator()(*this, forward< Args >(args)...);
}
};
template< typename F >
inline decltype(auto) MFP(F &&f) {
return FixPoint< F >{forward< F >(f)};
}
/**
* @brief Binary-Indexed-Tree(BIT)
* @docs docs/binary-indexed-tree.md
*/
struct BinaryIndexedTree {
private:
vector< int64 > data;
public:
explicit BinaryIndexedTree(size_t sz) : data(sz + 1, -infll) {}
void add(int k, const int64 &x) {
for(++k; k < (int) data.size(); k += k & -k) chmax(data[k], x);
}
int64 fold(int r) const {
int64 ret = -infll;
for(; r > 0; r -= r & -r) chmax(ret, data[r]);
return ret;
}
};
template< typename structure_t, typename get_t, typename update_t, typename merge_f, typename range_get_f, typename update_f >
struct SegmentTree2DCompressed {
int sz;
vector< structure_t > seg;
const merge_f f;
const range_get_f g;
const update_f h;
const get_t identity;
vector< vector< int > > LL, RR;
vector< vector< int > > beet;
SegmentTree2DCompressed(int n, const merge_f &f, const range_get_f &g, const update_f &h, const get_t &identity)
: f(f), g(g), h(h), identity(identity) {
sz = 1;
while(sz < n) sz <<= 1;
beet.resize(2 * sz);
LL.resize(2 * sz);
RR.resize(2 * sz);
}
void update(int a, int x, update_t z, int k, int l, int r) {
if(r <= a || a + 1 <= l) return;
if(a <= l && r <= a + 1) return h(seg[k], x, z);
update(a, LL[k][x], z, 2 * k + 0, l, (l + r) >> 1);
update(a, RR[k][x], z, 2 * k + 1, (l + r) >> 1, r);
return h(seg[k], x, z);
}
void update(int x, int y, update_t z) {
y = lower_bound(begin(beet[1]), end(beet[1]), y) - begin(beet[1]);
return update(x, y, z, 1, 0, sz);
}
get_t query(int a, int b, int x, int y, int k, int l, int r) {
if(a >= r || b <= l) return identity;
if(a <= l && r <= b) return g(seg[k], x, y);
return f(query(a, b, LL[k][x], LL[k][y], 2 * k + 0, l, (l + r) >> 1),
query(a, b, RR[k][x], RR[k][y], 2 * k + 1, (l + r) >> 1, r));
}
get_t query(int a, int b, int x, int y) {
x = lower_bound(begin(beet[1]), end(beet[1]), x) - begin(beet[1]);
y = lower_bound(begin(beet[1]), end(beet[1]), y) - begin(beet[1]);
return query(a, b, x, y, 1, 0, sz);
}
void build() {
for(int k = (int) beet.size() - 1; k >= sz; k--) {
sort(begin(beet[k]), end(beet[k]));
beet[k].erase(unique(begin(beet[k]), end(beet[k])), end(beet[k]));
}
for(int k = sz - 1; k > 0; k--) {
beet[k].resize(beet[2 * k + 0].size() + beet[2 * k + 1].size());
merge(begin(beet[2 * k + 0]), end(beet[2 * k + 0]), begin(beet[2 * k + 1]), end(beet[2 * k + 1]), begin(beet[k]));
beet[k].erase(unique(begin(beet[k]), end(beet[k])), end(beet[k]));
LL[k].resize(beet[k].size() + 1);
RR[k].resize(beet[k].size() + 1);
int tail1 = 0, tail2 = 0;
for(int i = 0; i < beet[k].size(); i++) {
while(tail1 < beet[2 * k + 0].size() && beet[2 * k + 0][tail1] < beet[k][i]) ++tail1;
while(tail2 < beet[2 * k + 1].size() && beet[2 * k + 1][tail2] < beet[k][i]) ++tail2;
LL[k][i] = tail1, RR[k][i] = tail2;
}
LL[k][beet[k].size()] = (int) beet[2 * k + 0].size();
RR[k][beet[k].size()] = (int) beet[2 * k + 1].size();
}
for(int k = 0; k < beet.size(); k++) {
seg.emplace_back(beet[k].size());
}
}
void preupdate(int x, int y) {
beet[x + sz].push_back(y);
}
};
int main() {
int N;
cin >> N;
vector< tuple< int, int, int > > ds;
ds.reserve(N + 1);
for(int i = 0; i < N; i++) {
int t, x, v;
cin >> t >> x >> v;
ds.emplace_back(t, x, v);
}
ds.emplace_back(0, 0, 0);
sort(begin(ds), end(ds));
vector< int64 > dp(ds.size(), -infll);
dp[0] = 0;
vector< int > l, r, m;
l.reserve(N + 1);
r.reserve(N + 1);
m.reserve(N + 1);
for(auto&[t, x, v]: ds) {
l.emplace_back(t + x);
r.emplace_back(t - x);
m.emplace_back(x);
}
sort(begin(l), end(l));
l.erase(unique(begin(l), end(l)), end(l));
sort(begin(r), end(r));
r.erase(unique(begin(r), end(r)), end(r));
sort(begin(m), end(m));
m.erase(unique(begin(m), end(m)), end(m));
vector< int > ldx(ds.size()), rdx(ds.size()), mdx(ds.size());
for(int i = 0; i < (int) ds.size(); i++) {
auto[t, x, v]=ds[i];
ldx[i] = lower_bound(begin(l), end(l), t + x) - begin(l);
rdx[i] = lower_bound(begin(r), end(r), t - x) - begin(r);
mdx[i] = lower_bound(begin(m), end(m), x) - begin(m);
}
auto f = [](int64 a, int64 b) { return max(a, b); };
// 2D segment tree
using BIT = BinaryIndexedTree;
auto g = [](BIT &k, int x, int y) { return k.fold(y); };
auto h = [](BIT &k, int x, int64 y) { k.add(x, y); };
SegmentTree2DCompressed< BIT, int64, int64, decltype(f), decltype(g), decltype(h) > lseg(m.size(), f, g, h, -infll);
SegmentTree2DCompressed< BIT, int64, int64, decltype(f), decltype(g), decltype(h) > rseg(m.size(), f, g, h, -infll);
for(int i = 0; i < (int) ds.size(); i++) {
lseg.preupdate(mdx[i], ldx[i]);
rseg.preupdate(mdx[i], rdx[i]);
}
lseg.build();
rseg.build();
lseg.update(mdx[0], ldx[0], 0);
rseg.update(mdx[0], rdx[0], 0);
int64 ret = 0;
for(int i = 1; i < (int) ds.size(); i++) {
auto[t2, x2, v2] = ds[i];
auto v = max(lseg.query(mdx[i], m.size(), 0, ldx[i] + 1), rseg.query(0, mdx[i], 0, rdx[i] + 1));
v += v2;
chmax(ret, v);
lseg.update(mdx[i], ldx[i], v);
rseg.update(mdx[i], rdx[i], v);
}
cout << ret << "\n";
}
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