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Submission #991478

# Submission time Handle Problem Language Result Execution time Memory
991478 2024-06-02T09:47:58 Z SanguineChameleon Train (APIO24_train) C++17
10 / 100
 1000 ms 21208 KB 
#include "train.h"
#include <bits/stdc++.h>
using namespace std;

const int lim = 900;
const int inf1 = 1e9 + 20;
const long long inf2 = 1e18L + 20;

struct planet {
	int L, R;
	long long cost;

	planet(long long _cost): L(-1), R(-2), cost(_cost) {};
};

struct train {
	int L, R, u, v;
	long long cost;

	train(int _L, int _R, int _u, int _v, long long _cost): L(_L), R(_R), u(_u), v(_v), cost(_cost) {};
};

struct meal {
	int L, R;

	meal(int _L, int _R): L(_L), R(_R) {};
};

struct event {
	int time, type, id;

	event(int _time, int _type, int _id): time(_time), type(_type), id(_id) {};
};

bool operator<(train &t1, train &t2) {
	if (t1.v != t2.v) {
		return t1.v < t2.v;
	}
	else {
		return t1.R < t2.R;
	}
}

bool operator<(meal &m1, meal &m2) {
	return m1.L > m2.L;
}

bool operator<(event &e1, event &e2) {
	if (e1.time != e2.time) {
		return e1.time < e2.time;
	}
	else {
		return e1.type < e2.type;
	}
}

bool operator<(meal &m, int x) {
	return m.L > x;
}

bool operator<(train &t, int x) {
	return t.R <= x;
}

struct fenwick_tree {
	vector<int> sum;
	int N;

	fenwick_tree(int _N) {
		N = _N;
		sum.resize(N + 1);
	}

	void update(int pos) {
		pos++;
		for (int i = pos; i <= N; i += i & (-i)) {
			sum[i]++;
		}
	}

	int get(int pos) {
		pos++;
		int res = 0;
		for (int i = pos; i > 0; i -= i & (-i)) {
			res += sum[i];
		}
		return res;
	}
};

struct segment_tree {
	struct node {
		long long min;
		long long lazy;

		node(): min(inf2), lazy(0) {};
	};

	vector<node> tree;
	int N;

	void init(int _N) {
		N = _N;
		tree.resize(N << 2);
	}

	void shift(int id, long long delta) {
		tree[id].min += delta;
		tree[id].lazy += delta;
	}

	void push(int id) {
		shift(id << 1, tree[id].lazy);
		shift(id << 1 | 1, tree[id].lazy);
		tree[id].lazy = 0;
	}

	void merge(int id) {
		tree[id].min = min(tree[id << 1].min, tree[id << 1 | 1].min);
	}

	void update_pos(int id, int tl, int tr, int pos, long long val) {
		if (tl == tr) {
			tree[id].min = val;
			tree[id].lazy = 0;
			return;
		}
		push(id);
		int tm = (tl + tr) >> 1;
		if (pos <= tm) {
			update_pos(id << 1, tl, tm, pos, val);
		}
		else {
			update_pos(id << 1 | 1, tm + 1, tr, pos, val);
		}
		merge(id);
	}

	void update_range(int id, int tl, int tr, int ql, int qr, long long delta) {
		if (tl == ql && tr == qr) {
			shift(id, delta);
			return;
		}
		push(id);
		int tm = (tl + tr) >> 1;
		if (qr <= tm) {
			update_range(id << 1, tl, tm, ql, qr, delta);
		}
		else if (ql >= tm + 1) {
			update_range(id << 1 | 1, tm + 1, tr, ql, qr, delta);
		}
		else {
			update_range(id << 1, tl, tm, ql, tm, delta);
			update_range(id << 1 | 1, tm + 1, tr, tm + 1, qr, delta);
		}
		merge(id);
	}

	long long get_range(int id, int tl, int tr, int ql, int qr) {
		if (tl == ql && tr == qr) {
			return tree[id].min;
		}
		push(id);
		int tm = (tl + tr) >> 1;
		if (qr <= tm) {
			return get_range(id << 1, tl, tm, ql, qr);
		}
		else if (ql >= tm + 1) {
			return get_range(id << 1 | 1, tm + 1, tr, ql, qr);
		}
		else {
			return min(get_range(id << 1, tl, tm, ql, tm), get_range(id << 1 | 1, tm + 1, tr, tm + 1, qr));
		}
	}

	void update_pos(int pos, long long val) {
		pos++;
		update_pos(1, 1, N, pos, val);
	}

	void update_pref(int r, long long delta) {
		if (r < 0) {
			return;
		}
		r++;
		update_range(1, 1, N, 1, r, delta);
	}

	long long get_pref(int r) {
		if (r < 0) {
			return inf2;
		}
		r++;
		return min(get_range(1, 1, N, 1, r), inf2);
	}
};

long long solve(int N, int M, int W, vector<int> T, vector<int> X, vector<int> Y, vector<int> A, vector<int> B, vector<int> C, vector<int> L, vector<int> R) {
	vector<planet> planets;
	for (int i = 0; i < N; i++) {
		planets.emplace_back(T[i]);
	}
	int planet_cnt = planets.size();
	vector<train> trains;
	for (int i = 0; i < M; i++) {
		trains.emplace_back(A[i], B[i], X[i], Y[i], C[i]);
	}
	trains.emplace_back(-1, 0, 0, 0, 0);
	trains.emplace_back(inf1, inf1 + 1, planet_cnt - 1, planet_cnt - 1, 0);
	sort(trains.begin(), trains.end());
	int train_cnt = trains.size();
	for (int i = 0; i < train_cnt; i++) {
		if (i == 0 || trains[i].v != trains[i - 1].v) {
			planets[trains[i].v].L = i;
		}
		if (i == train_cnt - 1 || trains[i].v != trains[i + 1].v) {
			planets[trains[i].v].R = i;
		}
	}
	vector<meal> meals;
	for (int i = 0; i < W; i++) {
		meals.emplace_back(L[i], R[i]);
	}
	sort(meals.begin(), meals.end());
	int meal_cnt = meals.size();
	vector<event> events;
	for (int id = 0; id < train_cnt; id++) {
		events.emplace_back(trains[id].L, 0, id);
	}
	for (int id = 0; id < meal_cnt; id++) {
		events.emplace_back(meals[id].R, 1, id);
	}
	sort(events.begin(), events.end());
	vector<bool> is_heavy(planet_cnt);
	vector<int> heavy;
	vector<segment_tree> seg(planet_cnt);
	for (int i = 0; i < planet_cnt; i++) {
		int sz = planets[i].R - planets[i].L + 1;
		if (sz > lim) {
			is_heavy[i] = true;
			heavy.push_back(i);
			seg[i].init(sz);
		}
	}
	vector<long long> dp(train_cnt, inf2);
	fenwick_tree fen(meal_cnt);
	for (auto &e: events) {
		int type = e.type;
		int id = e.id;
		if (type == 0) {
			if (id == 0) {
				dp[id] = 0;
			}
			else {
				int u = trains[id].u;
				if (is_heavy[u]) {
					int pos = lower_bound(trains.begin() + planets[u].L, trains.begin() + planets[u].R + 1, trains[id].L) - trains.begin() - 1 - planets[u].L;
					dp[id] = min(seg[u].get_pref(pos) + trains[id].cost, inf2);
				}
				else {
					for (int i = planets[u].L; i <= planets[u].R; i++) {
						if (trains[i].R > trains[id].L) {
							break;
						}
						int pos = lower_bound(meals.begin(), meals.end(), trains[i].R) - meals.begin() - 1;
						dp[id] = min(dp[id], dp[i] + planets[u].cost * fen.get(pos) + trains[id].cost);
					}
				}
			}
			int v = trains[id].v;
			if (is_heavy[v]) {
				seg[v].update_pos(id - planets[v].L, dp[id]);
			}
		}
		else {
			fen.update(id);
			for (auto u: heavy) {
				int pos = lower_bound(trains.begin() + planets[u].L, trains.begin() + planets[u].R + 1, meals[id].L - 1) - trains.begin() - 1 - planets[u].L;
				seg[u].update_pref(pos, planets[u].cost);
			}
		}
	}
	long long res = dp.back();
	if (res == inf2) {
		res = -1;
	}
	return res;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Correct.
2 Correct 1 ms 348 KB Correct.
3 Correct 1 ms 348 KB Correct.
4 Correct 1 ms 348 KB Correct.
5 Correct 0 ms 348 KB Correct.
6 Correct 0 ms 344 KB Correct.
7 Correct 0 ms 348 KB Correct.

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 9592 KB Correct.
2 Correct 59 ms 14676 KB Correct.
3 Correct 0 ms 348 KB Correct.
4 Correct 9 ms 5812 KB Correct.
5 Correct 0 ms 348 KB Correct.
6 Correct 61 ms 9440 KB Correct.
7 Correct 1 ms 344 KB Correct.
8 Correct 51 ms 21208 KB Correct.
9 Correct 61 ms 14784 KB Correct.

Subtask #3
0.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 9592 KB Correct.
2 Correct 59 ms 14676 KB Correct.
3 Correct 0 ms 348 KB Correct.
4 Correct 9 ms 5812 KB Correct.
5 Correct 0 ms 348 KB Correct.
6 Correct 61 ms 9440 KB Correct.
7 Correct 1 ms 344 KB Correct.
8 Correct 51 ms 21208 KB Correct.
9 Correct 61 ms 14784 KB Correct.
10 Correct 142 ms 15424 KB Correct.
11 Correct 98 ms 20324 KB Correct.
12 Correct 8 ms 5836 KB Correct.
13 Correct 0 ms 348 KB Correct.
14 Correct 207 ms 18920 KB Correct.
15 Correct 99 ms 20668 KB Correct.
16 Execution timed out 1078 ms 18660 KB Time limit exceeded
17 Halted 0 ms 0 KB -

Subtask #4
0.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Correct.
2 Correct 1 ms 348 KB Correct.
3 Correct 1 ms 348 KB Correct.
4 Correct 1 ms 348 KB Correct.
5 Correct 0 ms 348 KB Correct.
6 Correct 0 ms 344 KB Correct.
7 Correct 0 ms 348 KB Correct.
8 Correct 52 ms 9592 KB Correct.
9 Correct 59 ms 14676 KB Correct.
10 Correct 0 ms 348 KB Correct.
11 Correct 9 ms 5812 KB Correct.
12 Correct 0 ms 348 KB Correct.
13 Correct 61 ms 9440 KB Correct.
14 Correct 1 ms 344 KB Correct.
15 Correct 51 ms 21208 KB Correct.
16 Correct 61 ms 14784 KB Correct.
17 Correct 142 ms 15424 KB Correct.
18 Correct 98 ms 20324 KB Correct.
19 Correct 8 ms 5836 KB Correct.
20 Correct 0 ms 348 KB Correct.
21 Correct 207 ms 18920 KB Correct.
22 Correct 99 ms 20668 KB Correct.
23 Execution timed out 1078 ms 18660 KB Time limit exceeded
24 Halted 0 ms 0 KB -