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Submission #607495

# Submission time Handle Problem Language Result Execution time Memory
607495 2022-07-26T18:39:09 Z Temmie Sky Walking (IOI19_walk) C++17
100 / 100
 1571 ms 379196 KB 
#include <bits/stdc++.h>

struct SG {
	
	int h, l, r;
	
	SG() { }
	
	SG(int a, int b, int c) : h(a) , l(b) , r(c) { }
	
};

int n, m;
std::vector <std::pair <int, int>> g[2];
std::vector <std::vector <std::pair <int, int>>> gg;
std::vector <std::vector <int>> del[2];
std::vector <int> h;
std::vector <SG> sg;

void fix(int node) {
	std::vector <std::pair <int, int>> dir[2];
	dir[0] = dir[1] = { { h[node], node } };
	for (int i = node + 1; i < n; i++) {
		if (h[i] <= dir[1].back().first) {
			continue;
		}
		dir[1].emplace_back(h[i], i);
	}
	for (int i = node - 1; i >= 0; i--) {
		if (h[i] <= dir[0].back().first) {
			continue;
		}
		dir[0].emplace_back(h[i], i);
	}
	auto cop = sg;
	cop.clear();
	for (const auto& s : sg) {
		if (s.l < node && node < s.r) {
			int lb[2] = {
				(int) (std::lower_bound(dir[0].begin(), dir[0].end(), std::make_pair(s.h, -1)) - dir[0].begin()),
				(int) (std::lower_bound(dir[1].begin(), dir[1].end(), std::make_pair(s.h, -1)) - dir[1].begin())
			};
			if (s.l != dir[0][lb[0]].second) {
				cop.emplace_back(s.h, s.l, dir[0][lb[0]].second);
			}
			if (dir[0][lb[0]].second != dir[1][lb[1]].second) {
				cop.emplace_back(s.h, dir[0][lb[0]].second, dir[1][lb[1]].second);
			}
			if (dir[1][lb[1]].second != s.r) {
				cop.emplace_back(s.h, dir[1][lb[1]].second, s.r);
			}
		} else {
			cop.emplace_back(s);
		}
	}
	sg = cop;
}

long long min_distance(std::vector <int> a, std::vector <int> _h, std::vector <int> l, std::vector <int> r, std::vector <int> y, int f, int t) {
	n = a.size();
	m = l.size();
	sg.resize(m);
	h = _h;
	for (int i = 0; i < m; i++) {
		sg[i] = { y[i], l[i], r[i] };
	}
	fix(f);
	fix(t);
	del[0].resize(4'000'000);
	del[1].resize(4'000'000);
	for (const auto& s : sg) {
		del[0][s.l].emplace_back(s.h);
		del[1][s.r].emplace_back(s.h);
	}
	std::multiset <int> st = { 0 };
	for (int i = 0; i < n; i++) {
		for (int x : del[0][i]) {
			st.insert(x);
		}
		for (int k = 0; k < 2; k++) {
			for (int x : del[k][i]) {
				g[0].emplace_back(a[i], x);
				g[0].emplace_back(a[i], *prev(st.lower_bound(x)));
			}
		}
		for (int x : del[1][i]) {
			st.erase(st.find(x));
		}
	}
	std::sort(g[0].begin(), g[0].end());
	for (auto p : g[0]) {
		if (g[1].empty() || g[1].back() != p) {
			g[1].push_back(p);
		}
	}
	g[0] = g[1];
	g[1].clear();
	for (auto p : g[0]) {
		g[1].emplace_back(p.second, p.first);
	}
	std::sort(g[1].begin(), g[1].end());
	gg.resize(4'000'000);
	for (int i = 1; i < (int) g[0].size(); i++) {
		if (g[0][i - 1].first != g[0][i].first) {
			continue;
		}
		gg[i - 1].emplace_back(i - 0, g[0][i].second - g[0][i - 1].second);
		gg[i - 0].emplace_back(i - 1, g[0][i].second - g[0][i - 1].second);
	}
	for (const auto& s : sg) {
		int lb = std::lower_bound(g[1].begin(), g[1].end(), std::make_pair(s.h, a[s.l])) - g[1].begin();
		while (g[1][lb] != (std::pair <int, int>) { s.h, a[s.r] }) {
			std::pair <int, int> p[2] = {
				{ g[1][lb - 0].second, g[1][lb - 0].first },
				{ g[1][lb + 1].second, g[1][lb + 1].first }
			};
			lb++;
			gg[std::lower_bound(g[0].begin(), g[0].end(), p[0]) - g[0].begin()].emplace_back(std::lower_bound(g[0].begin(), g[0].end(), p[1]) - g[0].begin(), p[1].first - p[0].first);
			gg[std::lower_bound(g[0].begin(), g[0].end(), p[1]) - g[0].begin()].emplace_back(std::lower_bound(g[0].begin(), g[0].end(), p[0]) - g[0].begin(), p[1].first - p[0].first);
		}
	}
	std::vector <long long> dd(4'000'000, 1LL << 60);
	std::priority_queue <std::pair <long long, int>> pq;
	{
		int tmp = std::lower_bound(g[0].begin(), g[0].end(), std::make_pair(a[f], 0)) - g[0].begin();
		if (tmp == (int) g[0].size() || g[0][tmp] != (std::pair <int, int>) { a[f], 0 }) {
			return -1;
		}
		pq.push({ dd[tmp] = 0, tmp });
	}
	while (pq.size()) {
		int v = pq.top().second;
		pq.pop();
		for (auto p : gg[v]) {
			if (dd[p.first] <= dd[v] + p.second) {
				continue;
			}
			dd[p.first] = dd[v] + p.second;
			pq.push({ -dd[p.first], p.first });
		}
	}
	int lb = std::lower_bound(g[0].begin(), g[0].end(), std::make_pair(a[t], 0)) - g[0].begin();
	return lb == (int) g[0].size() || g[0][lb] != (std::pair <int, int>) { a[t], 0 } || dd[lb] == (1LL << 60) ? -1LL : dd[lb];
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 154 ms 313292 KB Output is correct
2 Correct 165 ms 313340 KB Output is correct
3 Correct 147 ms 313356 KB Output is correct
4 Correct 140 ms 313392 KB Output is correct
5 Correct 140 ms 313328 KB Output is correct
6 Correct 138 ms 313420 KB Output is correct
7 Correct 135 ms 313312 KB Output is correct
8 Correct 136 ms 313460 KB Output is correct
9 Correct 138 ms 313332 KB Output is correct
10 Correct 153 ms 313352 KB Output is correct
11 Correct 139 ms 313292 KB Output is correct
12 Correct 137 ms 313412 KB Output is correct
13 Correct 150 ms 313304 KB Output is correct
14 Correct 140 ms 313412 KB Output is correct
15 Correct 141 ms 313388 KB Output is correct
16 Correct 138 ms 313420 KB Output is correct
17 Correct 136 ms 313348 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 135 ms 313352 KB Output is correct
2 Correct 137 ms 313304 KB Output is correct
3 Correct 705 ms 342804 KB Output is correct
4 Correct 632 ms 347544 KB Output is correct
5 Correct 471 ms 338972 KB Output is correct
6 Correct 430 ms 338356 KB Output is correct
7 Correct 457 ms 339176 KB Output is correct
8 Correct 638 ms 344000 KB Output is correct
9 Correct 541 ms 344816 KB Output is correct
10 Correct 636 ms 346696 KB Output is correct
11 Correct 515 ms 340956 KB Output is correct
12 Correct 435 ms 344644 KB Output is correct
13 Correct 595 ms 349352 KB Output is correct
14 Correct 416 ms 339248 KB Output is correct
15 Correct 433 ms 343076 KB Output is correct
16 Correct 447 ms 342376 KB Output is correct
17 Correct 423 ms 341384 KB Output is correct
18 Correct 527 ms 339760 KB Output is correct
19 Correct 152 ms 314708 KB Output is correct
20 Correct 232 ms 326868 KB Output is correct
21 Correct 395 ms 340704 KB Output is correct
22 Correct 398 ms 344800 KB Output is correct
23 Correct 507 ms 345252 KB Output is correct
24 Correct 404 ms 343448 KB Output is correct
25 Correct 440 ms 341300 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 236 ms 321672 KB Output is correct
2 Correct 743 ms 346504 KB Output is correct
3 Correct 731 ms 347204 KB Output is correct
4 Correct 832 ms 350564 KB Output is correct
5 Correct 921 ms 352232 KB Output is correct
6 Correct 936 ms 349748 KB Output is correct
7 Correct 445 ms 333820 KB Output is correct
8 Correct 471 ms 344632 KB Output is correct
9 Correct 816 ms 350320 KB Output is correct
10 Correct 460 ms 341076 KB Output is correct
11 Correct 164 ms 314316 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 236 ms 321672 KB Output is correct
2 Correct 743 ms 346504 KB Output is correct
3 Correct 731 ms 347204 KB Output is correct
4 Correct 832 ms 350564 KB Output is correct
5 Correct 921 ms 352232 KB Output is correct
6 Correct 936 ms 349748 KB Output is correct
7 Correct 445 ms 333820 KB Output is correct
8 Correct 471 ms 344632 KB Output is correct
9 Correct 816 ms 350320 KB Output is correct
10 Correct 460 ms 341076 KB Output is correct
11 Correct 164 ms 314316 KB Output is correct
12 Correct 838 ms 347332 KB Output is correct
13 Correct 751 ms 349548 KB Output is correct
14 Correct 935 ms 352052 KB Output is correct
15 Correct 773 ms 349084 KB Output is correct
16 Correct 661 ms 345700 KB Output is correct
17 Correct 741 ms 349432 KB Output is correct
18 Correct 736 ms 349088 KB Output is correct
19 Correct 668 ms 345620 KB Output is correct
20 Correct 488 ms 333004 KB Output is correct
21 Correct 170 ms 315592 KB Output is correct
22 Correct 584 ms 342388 KB Output is correct
23 Correct 535 ms 342204 KB Output is correct
24 Correct 462 ms 339260 KB Output is correct
25 Correct 526 ms 340740 KB Output is correct
26 Correct 395 ms 339368 KB Output is correct
27 Correct 862 ms 352228 KB Output is correct
28 Correct 660 ms 349452 KB Output is correct
29 Correct 784 ms 349780 KB Output is correct
30 Correct 430 ms 333852 KB Output is correct
31 Correct 804 ms 350256 KB Output is correct
32 Correct 427 ms 340812 KB Output is correct
33 Correct 415 ms 342836 KB Output is correct
34 Correct 505 ms 342716 KB Output is correct
35 Correct 485 ms 344044 KB Output is correct
36 Correct 424 ms 341996 KB Output is correct
37 Correct 401 ms 340516 KB Output is correct
38 Correct 420 ms 344744 KB Output is correct
39 Correct 528 ms 345252 KB Output is correct
40 Correct 414 ms 343364 KB Output is correct
41 Correct 418 ms 341216 KB Output is correct

Subtask #5
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 154 ms 313292 KB Output is correct
2 Correct 165 ms 313340 KB Output is correct
3 Correct 147 ms 313356 KB Output is correct
4 Correct 140 ms 313392 KB Output is correct
5 Correct 140 ms 313328 KB Output is correct
6 Correct 138 ms 313420 KB Output is correct
7 Correct 135 ms 313312 KB Output is correct
8 Correct 136 ms 313460 KB Output is correct
9 Correct 138 ms 313332 KB Output is correct
10 Correct 153 ms 313352 KB Output is correct
11 Correct 139 ms 313292 KB Output is correct
12 Correct 137 ms 313412 KB Output is correct
13 Correct 150 ms 313304 KB Output is correct
14 Correct 140 ms 313412 KB Output is correct
15 Correct 141 ms 313388 KB Output is correct
16 Correct 138 ms 313420 KB Output is correct
17 Correct 136 ms 313348 KB Output is correct
18 Correct 135 ms 313352 KB Output is correct
19 Correct 137 ms 313304 KB Output is correct
20 Correct 705 ms 342804 KB Output is correct
21 Correct 632 ms 347544 KB Output is correct
22 Correct 471 ms 338972 KB Output is correct
23 Correct 430 ms 338356 KB Output is correct
24 Correct 457 ms 339176 KB Output is correct
25 Correct 638 ms 344000 KB Output is correct
26 Correct 541 ms 344816 KB Output is correct
27 Correct 636 ms 346696 KB Output is correct
28 Correct 515 ms 340956 KB Output is correct
29 Correct 435 ms 344644 KB Output is correct
30 Correct 595 ms 349352 KB Output is correct
31 Correct 416 ms 339248 KB Output is correct
32 Correct 433 ms 343076 KB Output is correct
33 Correct 447 ms 342376 KB Output is correct
34 Correct 423 ms 341384 KB Output is correct
35 Correct 527 ms 339760 KB Output is correct
36 Correct 152 ms 314708 KB Output is correct
37 Correct 232 ms 326868 KB Output is correct
38 Correct 395 ms 340704 KB Output is correct
39 Correct 398 ms 344800 KB Output is correct
40 Correct 507 ms 345252 KB Output is correct
41 Correct 404 ms 343448 KB Output is correct
42 Correct 440 ms 341300 KB Output is correct
43 Correct 236 ms 321672 KB Output is correct
44 Correct 743 ms 346504 KB Output is correct
45 Correct 731 ms 347204 KB Output is correct
46 Correct 832 ms 350564 KB Output is correct
47 Correct 921 ms 352232 KB Output is correct
48 Correct 936 ms 349748 KB Output is correct
49 Correct 445 ms 333820 KB Output is correct
50 Correct 471 ms 344632 KB Output is correct
51 Correct 816 ms 350320 KB Output is correct
52 Correct 460 ms 341076 KB Output is correct
53 Correct 164 ms 314316 KB Output is correct
54 Correct 838 ms 347332 KB Output is correct
55 Correct 751 ms 349548 KB Output is correct
56 Correct 935 ms 352052 KB Output is correct
57 Correct 773 ms 349084 KB Output is correct
58 Correct 661 ms 345700 KB Output is correct
59 Correct 741 ms 349432 KB Output is correct
60 Correct 736 ms 349088 KB Output is correct
61 Correct 668 ms 345620 KB Output is correct
62 Correct 488 ms 333004 KB Output is correct
63 Correct 170 ms 315592 KB Output is correct
64 Correct 584 ms 342388 KB Output is correct
65 Correct 535 ms 342204 KB Output is correct
66 Correct 462 ms 339260 KB Output is correct
67 Correct 526 ms 340740 KB Output is correct
68 Correct 395 ms 339368 KB Output is correct
69 Correct 862 ms 352228 KB Output is correct
70 Correct 660 ms 349452 KB Output is correct
71 Correct 784 ms 349780 KB Output is correct
72 Correct 430 ms 333852 KB Output is correct
73 Correct 804 ms 350256 KB Output is correct
74 Correct 427 ms 340812 KB Output is correct
75 Correct 415 ms 342836 KB Output is correct
76 Correct 505 ms 342716 KB Output is correct
77 Correct 485 ms 344044 KB Output is correct
78 Correct 424 ms 341996 KB Output is correct
79 Correct 401 ms 340516 KB Output is correct
80 Correct 420 ms 344744 KB Output is correct
81 Correct 528 ms 345252 KB Output is correct
82 Correct 414 ms 343364 KB Output is correct
83 Correct 418 ms 341216 KB Output is correct
84 Correct 217 ms 320392 KB Output is correct
85 Correct 781 ms 348916 KB Output is correct
86 Correct 1167 ms 365472 KB Output is correct
87 Correct 217 ms 321116 KB Output is correct
88 Correct 200 ms 320304 KB Output is correct
89 Correct 205 ms 321032 KB Output is correct
90 Correct 166 ms 316360 KB Output is correct
91 Correct 140 ms 313480 KB Output is correct
92 Correct 155 ms 315196 KB Output is correct
93 Correct 340 ms 330140 KB Output is correct
94 Correct 165 ms 317840 KB Output is correct
95 Correct 590 ms 347612 KB Output is correct
96 Correct 518 ms 346192 KB Output is correct
97 Correct 466 ms 343032 KB Output is correct
98 Correct 532 ms 344340 KB Output is correct
99 Correct 1571 ms 379196 KB Output is correct
100 Correct 769 ms 354788 KB Output is correct
101 Correct 1035 ms 361756 KB Output is correct
102 Correct 465 ms 336956 KB Output is correct
103 Correct 450 ms 343868 KB Output is correct
104 Correct 422 ms 346068 KB Output is correct
105 Correct 474 ms 345648 KB Output is correct
106 Correct 441 ms 345428 KB Output is correct
107 Correct 468 ms 346912 KB Output is correct
108 Correct 175 ms 316688 KB Output is correct
109 Correct 642 ms 347280 KB Output is correct
110 Correct 715 ms 352868 KB Output is correct
111 Correct 661 ms 352880 KB Output is correct
112 Correct 487 ms 345892 KB Output is correct
113 Correct 464 ms 345352 KB Output is correct