結果

問題 No.2859 Falling Balls
ユーザー 👑 binapbinap
提出日時 2024-08-25 16:00:01
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 519 ms / 3,000 ms
コード長 3,742 bytes
コンパイル時間 4,928 ms
コンパイル使用メモリ 277,700 KB
実行使用メモリ 40,948 KB
最終ジャッジ日時 2024-08-25 16:00:16
合計ジャッジ時間 13,479 ms
ジャッジサーバーID
(参考情報)
judge5 / judge4
このコードへのチャレンジ
(要ログイン)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
6,816 KB
testcase_01 AC 1 ms
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 2 ms
6,944 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 2 ms
6,944 KB
testcase_06 AC 2 ms
6,940 KB
testcase_07 AC 2 ms
6,940 KB
testcase_08 AC 2 ms
6,944 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 115 ms
13,028 KB
testcase_11 AC 438 ms
35,576 KB
testcase_12 AC 20 ms
6,944 KB
testcase_13 AC 413 ms
33,584 KB
testcase_14 AC 350 ms
30,056 KB
testcase_15 AC 115 ms
12,720 KB
testcase_16 AC 155 ms
16,612 KB
testcase_17 AC 149 ms
16,408 KB
testcase_18 AC 13 ms
6,944 KB
testcase_19 AC 227 ms
21,868 KB
testcase_20 AC 519 ms
40,948 KB
testcase_21 AC 484 ms
40,748 KB
testcase_22 AC 510 ms
40,944 KB
testcase_23 AC 478 ms
39,588 KB
testcase_24 AC 488 ms
40,536 KB
testcase_25 AC 513 ms
39,688 KB
testcase_26 AC 481 ms
39,580 KB
testcase_27 AC 487 ms
39,524 KB
testcase_28 AC 511 ms
39,292 KB
testcase_29 AC 473 ms
39,660 KB
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 #

#include<bits/stdc++.h>
#include<atcoder/all>
#define rep(i,n) for(int i=0;i<n;i++)
using namespace std;
using namespace atcoder;
typedef long long ll;
typedef vector<int> vi;
typedef vector<long long> vl;
typedef vector<vector<int>> vvi;
typedef vector<vector<long long>> vvl;
typedef long double ld;
typedef pair<int, int> P;

ostream& operator<<(ostream& os, const modint& a) {os << a.val(); return os;}
template <int m> ostream& operator<<(ostream& os, const static_modint<m>& a) {os << a.val(); return os;}
template <int m> ostream& operator<<(ostream& os, const dynamic_modint<m>& a) {os << a.val(); return os;}
template<typename T> istream& operator>>(istream& is, vector<T>& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;}
template<typename U, typename T> ostream& operator<<(ostream& os, const pair<U, T>& p){os << p.first << ' ' << p.second; return os;}
template<typename T> ostream& operator<<(ostream& os, const vector<T>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return os;}
template<typename T> ostream& operator<<(ostream& os, const vector<vector<T>>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : ""); return os;}
template<typename T> ostream& operator<<(ostream& os, const set<T>& se){for(T x : se) os << x << " "; os << "\n"; return os;}
template<typename T> ostream& operator<<(ostream& os, const unordered_set<T>& se){for(T x : se) os << x << " "; os << "\n"; return os;}
template<typename S, auto op, auto e> ostream& operator<<(ostream& os, const atcoder::segtree<S, op, e>& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;}
template<typename S, auto op, auto e, typename F, auto mapping, auto composition, auto id> ostream& operator<<(ostream& os, const atcoder::lazy_segtree<S, op, e, F, mapping, composition, id>& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;}

template<typename T> void chmin(T& a, T b){a = min(a, b);}
template<typename T> void chmax(T& a, T b){a = max(a, b);}

// Coodinate Compression
// https://youtu.be/fR3W5IcBGLQ?t=8550
template<typename T=int>
struct CC {
  bool initialized;
  vector<T> xs;
  CC(): initialized(false) {}
  void add(T x) { xs.push_back(x);}
  void init() {
    sort(xs.begin(), xs.end());
    xs.erase(unique(xs.begin(),xs.end()),xs.end());
    initialized = true;
  }
  int operator()(T x) {
    if (!initialized) init();
    return upper_bound(xs.begin(), xs.end(), x) - xs.begin() - 1;
  }
  T operator[](int i) {
    if (!initialized) init();
    return xs[i];
  }
  int size() {
    if (!initialized) init();
    return xs.size();
  }
};

const long long INF = 1001001001001001001;

using S = long long;
S op(S a, S b){
	return max(a, b);
}
S e(){
	return -INF;
}

int main(){
	int n;
	long long k;
	cin >> n >> k;
	vector<long long> t(n);
	vector<long long> x(n);
	vector<long long> c(n);
	cin >> t >> x >> c;
	t.push_back(0);
	x.push_back(0);
	c.push_back(0);
	vector<long long> ktpx;
	vector<long long> ktmx;
	rep(i, n + 1) ktpx.push_back(k * t[i] + x[i]);
	rep(i, n + 1) ktmx.push_back(k * t[i] - x[i]);
	CC<long long> cc;
	rep(i, n + 1) cc.add(ktmx[i]);
	int m = cc.size();
	segtree<S, op, e> seg(m);
	map<long long, vector<int>> event;
	rep(i, n + 1) event[ktpx[i]].push_back(i);
	for(auto& [z, vec] : event){
		sort(vec.begin(), vec.end(), [&](int i, int j){return ktmx[i] < ktmx[j];});
		for(int i : vec){
			if(i == n){
				seg.set(cc(0), 0);
			}else{
				int idx = cc(ktmx[i]);
				auto val = seg.prod(0, idx + 1);
				if(val != -INF) seg.set(idx, val + c[i]);
			}
		}
	}
	long long ans = seg.all_prod();
	cout << ans << "\n";
	return 0;
}
0