oj.uz

Submission #155088

# Submission time Handle Problem Language Result Execution time Memory
155088 2019-09-26T08:40:17 Z wakaka Sky Walking (IOI19_walk) C++14
100 / 100
 2914 ms 116868 KB 
#include "walk.h"
#include <bits/stdc++.h>
using namespace std;
//#define cerr if (false) cerr
#define db(x) cerr << #x << "=" << x << endl
#define db2(x, y) cerr << #x << "=" << x << "," << #y << "=" << y << endl
#define db3(x, y, z) cerr << #x << "=" << x << "," << #y << "=" << y << "," << #z << "=" << z << endl
#define dbv(v) cerr << #v << "="; for (auto _x : v) cerr << _x << ", "; cerr << endl
#define dba(a, n) cerr << #a << "="; for (int _i = 0; _i < (n); ++_i) cerr << a[_i] << ", "; cerr << endl
template <typename A, typename B>
ostream& operator<<(ostream& os, const pair<A, B>& x) {
	return os << "(" << x.first << "," << x.second << ")";
}
typedef long long ll;
typedef long double ld;
ll min_distance(vector<int> x, vector<int> h, vector<int> l, vector<int> r, vector<int> y, int s, int g) {
	int n = x.size();
	int m = l.size();
	vector<vector<int>> vert(n), hor(m);
	vector<vector<pair<int, int>>> events(n);
	for (int i = 0; i < m; ++i) {
		events[l[i]].emplace_back(i, 1);
		events[r[i]].emplace_back(i, -1);
	}
	set<pair<int, int>> S;
	for (int i = 0; i < n; ++i) {
		for (auto& e : events[i]) {
			int j = e.first;
			vert[i].push_back(y[j]);
			hor[j].push_back(x[i]);
			if (e.second == 1) S.insert({y[j], j});
		}
		vector<int> nvert;
		for (int yj : vert[i]) {
			auto it = S.lower_bound({yj, -1});
			if (it == S.begin()) continue;
			int k = prev(it)->second;
			hor[k].push_back(x[i]);
			nvert.push_back(y[k]);
		}
		vert[i].insert(vert[i].end(), nvert.begin(), nvert.end());
		if (i == s || i == g) vert[i].push_back(0);
		for (auto& e : events[i]) {
			int j = e.first;
			if (e.second == -1) S.erase({y[j], j});
		}
	}
	auto f = [&](int q) {
		vector<pair<int, int>> lhs = {{h[q], q}}, rhs = {{h[q], q}};
		for (int i = q - 1; i >= 0; --i) {
			if (h[i] > lhs.back().first) lhs.push_back({h[i], i});
		}
		for (int i = q + 1; i < n; ++i) {
			if (h[i] > rhs.back().first) rhs.push_back({h[i], i});
		}
		for (int i = 0; i < m; ++i) {
			if (r[i] < q || l[i] > q) continue;
			auto it = lower_bound(lhs.begin(), lhs.end(), make_pair(y[i], -1));
			if (it == lhs.end()) continue;
			int p = it->second;
			if (p < l[i]) continue;
			vert[p].push_back(y[i]);
			hor[i].push_back(x[p]);
		}
		for (int i = 0; i < m; ++i) {
			if (r[i] < q || l[i] > q) continue;
			auto it = lower_bound(rhs.begin(), rhs.end(), make_pair(y[i], -1));
			if (it == rhs.end()) continue;
			int p = it->second;
			if (p > r[i]) continue;
			vert[p].push_back(y[i]);
			hor[i].push_back(x[p]);
		}
	};
	f(s);
	f(g);
	map<pair<int, int>, int> mp;
	auto getId = [&](pair<int, int> a) {
		auto it = mp.find(a);
		if (it != mp.end()) return it->second;
		int s = mp.size();
		return mp[a] = s;
	};
	for (int i = 0; i < n; ++i)
		for (int j : vert[i]) getId({x[i], j});
	for (int i = 0; i < m; ++i)
		for (int j : hor[i]) getId({j, y[i]});
	vector<vector<pair<int, int>>> E(mp.size());
	for (int i = 0; i < n; ++i) {
		sort(vert[i].begin(), vert[i].end());
		vert[i].resize(unique(vert[i].begin(), vert[i].end()) - vert[i].begin());
		for (int j = 0; j + 1 < vert[i].size(); ++j) {
			int u = getId({x[i], vert[i][j]});
			int v = getId({x[i], vert[i][j + 1]});
			int d = vert[i][j + 1] - vert[i][j];
			E[u].push_back({v, d});
			E[v].push_back({u, d});
		}
	}
	for (int i = 0; i < m; ++i) {
		sort(hor[i].begin(), hor[i].end());
		hor[i].resize(unique(hor[i].begin(), hor[i].end()) - hor[i].begin());
		for (int j = 0; j + 1 < hor[i].size(); ++j) {
			int u = getId({hor[i][j], y[i]});
			int v = getId({hor[i][j + 1], y[i]});
			int d = hor[i][j + 1] - hor[i][j];
			E[u].push_back({v, d});
			E[v].push_back({u, d});
		}
	}
	const ll INF = 1LL << 60;
	vector<ll> dist(mp.size(), INF);
	int src = getId({x[s], 0}), dest = getId({x[g], 0});
	typedef pair<ll, int> Pair;
	priority_queue<Pair, vector<Pair>, greater<Pair>> pq;
	dist[src] = 0;
	pq.emplace(dist[src], src);
	while (!pq.empty()) {
		int u = pq.top().second;
		ll cdist = pq.top().first;
		pq.pop();
		if (cdist > dist[u]) continue;
		for (auto e : E[u]) {
			int v = e.first;
			ll val = dist[u] + e.second;
			if (val < dist[v]) {
				dist[v] = val;
				pq.emplace(val, v);
			}
		}
	}
	return dist[dest] == INF ? -1 : dist[dest];
}

Compilation message

walk.cpp: In function 'll min_distance(std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, int, int)':
walk.cpp:92:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j + 1 < vert[i].size(); ++j) {
                   ~~~~~~^~~~~~~~~~~~~~~~
walk.cpp:103:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j + 1 < hor[i].size(); ++j) {
                   ~~~~~~^~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 292 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 256 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 1123 ms 64892 KB Output is correct
4 Correct 992 ms 72392 KB Output is correct
5 Correct 768 ms 56304 KB Output is correct
6 Correct 673 ms 54336 KB Output is correct
7 Correct 693 ms 56540 KB Output is correct
8 Correct 1210 ms 67492 KB Output is correct
9 Correct 920 ms 67536 KB Output is correct
10 Correct 1128 ms 72772 KB Output is correct
11 Correct 880 ms 57548 KB Output is correct
12 Correct 664 ms 47388 KB Output is correct
13 Correct 1055 ms 73712 KB Output is correct
14 Correct 850 ms 47560 KB Output is correct
15 Correct 940 ms 48096 KB Output is correct
16 Correct 815 ms 50168 KB Output is correct
17 Correct 603 ms 47892 KB Output is correct
18 Correct 1278 ms 57468 KB Output is correct
19 Correct 21 ms 2808 KB Output is correct
20 Correct 273 ms 25208 KB Output is correct
21 Correct 569 ms 46784 KB Output is correct
22 Correct 646 ms 46992 KB Output is correct
23 Correct 1145 ms 59260 KB Output is correct
24 Correct 625 ms 48504 KB Output is correct
25 Correct 556 ms 47708 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 234 ms 16376 KB Output is correct
2 Correct 1489 ms 72912 KB Output is correct
3 Correct 1536 ms 75016 KB Output is correct
4 Correct 1542 ms 82860 KB Output is correct
5 Correct 1720 ms 84128 KB Output is correct
6 Correct 1682 ms 80536 KB Output is correct
7 Correct 631 ms 47428 KB Output is correct
8 Correct 660 ms 48504 KB Output is correct
9 Correct 1718 ms 79240 KB Output is correct
10 Correct 862 ms 52124 KB Output is correct
11 Correct 18 ms 4216 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 234 ms 16376 KB Output is correct
2 Correct 1489 ms 72912 KB Output is correct
3 Correct 1536 ms 75016 KB Output is correct
4 Correct 1542 ms 82860 KB Output is correct
5 Correct 1720 ms 84128 KB Output is correct
6 Correct 1682 ms 80536 KB Output is correct
7 Correct 631 ms 47428 KB Output is correct
8 Correct 660 ms 48504 KB Output is correct
9 Correct 1718 ms 79240 KB Output is correct
10 Correct 862 ms 52124 KB Output is correct
11 Correct 18 ms 4216 KB Output is correct
12 Correct 1645 ms 75084 KB Output is correct
13 Correct 1396 ms 82648 KB Output is correct
14 Correct 1731 ms 84340 KB Output is correct
15 Correct 1098 ms 72432 KB Output is correct
16 Correct 1181 ms 72824 KB Output is correct
17 Correct 1245 ms 82788 KB Output is correct
18 Correct 1104 ms 72448 KB Output is correct
19 Correct 1128 ms 72036 KB Output is correct
20 Correct 717 ms 45680 KB Output is correct
21 Correct 49 ms 8952 KB Output is correct
22 Correct 1004 ms 67216 KB Output is correct
23 Correct 891 ms 65360 KB Output is correct
24 Correct 651 ms 52856 KB Output is correct
25 Correct 781 ms 60612 KB Output is correct
26 Correct 588 ms 46460 KB Output is correct
27 Correct 1800 ms 85320 KB Output is correct
28 Correct 1430 ms 82724 KB Output is correct
29 Correct 1798 ms 81836 KB Output is correct
30 Correct 642 ms 48388 KB Output is correct
31 Correct 1646 ms 80064 KB Output is correct
32 Correct 741 ms 50652 KB Output is correct
33 Correct 723 ms 50652 KB Output is correct
34 Correct 943 ms 56216 KB Output is correct
35 Correct 816 ms 57640 KB Output is correct
36 Correct 634 ms 52268 KB Output is correct
37 Correct 668 ms 48448 KB Output is correct
38 Correct 732 ms 49016 KB Output is correct
39 Correct 1150 ms 60760 KB Output is correct
40 Correct 626 ms 49968 KB Output is correct
41 Correct 565 ms 49272 KB Output is correct

Subtask #5
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 2 ms 256 KB Output is correct
3 Correct 2 ms 256 KB Output is correct
4 Correct 2 ms 256 KB Output is correct
5 Correct 2 ms 376 KB Output is correct
6 Correct 2 ms 364 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 376 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 2 ms 376 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 376 KB Output is correct
13 Correct 2 ms 292 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 256 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 376 KB Output is correct
18 Correct 2 ms 376 KB Output is correct
19 Correct 2 ms 256 KB Output is correct
20 Correct 1123 ms 64892 KB Output is correct
21 Correct 992 ms 72392 KB Output is correct
22 Correct 768 ms 56304 KB Output is correct
23 Correct 673 ms 54336 KB Output is correct
24 Correct 693 ms 56540 KB Output is correct
25 Correct 1210 ms 67492 KB Output is correct
26 Correct 920 ms 67536 KB Output is correct
27 Correct 1128 ms 72772 KB Output is correct
28 Correct 880 ms 57548 KB Output is correct
29 Correct 664 ms 47388 KB Output is correct
30 Correct 1055 ms 73712 KB Output is correct
31 Correct 850 ms 47560 KB Output is correct
32 Correct 940 ms 48096 KB Output is correct
33 Correct 815 ms 50168 KB Output is correct
34 Correct 603 ms 47892 KB Output is correct
35 Correct 1278 ms 57468 KB Output is correct
36 Correct 21 ms 2808 KB Output is correct
37 Correct 273 ms 25208 KB Output is correct
38 Correct 569 ms 46784 KB Output is correct
39 Correct 646 ms 46992 KB Output is correct
40 Correct 1145 ms 59260 KB Output is correct
41 Correct 625 ms 48504 KB Output is correct
42 Correct 556 ms 47708 KB Output is correct
43 Correct 234 ms 16376 KB Output is correct
44 Correct 1489 ms 72912 KB Output is correct
45 Correct 1536 ms 75016 KB Output is correct
46 Correct 1542 ms 82860 KB Output is correct
47 Correct 1720 ms 84128 KB Output is correct
48 Correct 1682 ms 80536 KB Output is correct
49 Correct 631 ms 47428 KB Output is correct
50 Correct 660 ms 48504 KB Output is correct
51 Correct 1718 ms 79240 KB Output is correct
52 Correct 862 ms 52124 KB Output is correct
53 Correct 18 ms 4216 KB Output is correct
54 Correct 1645 ms 75084 KB Output is correct
55 Correct 1396 ms 82648 KB Output is correct
56 Correct 1731 ms 84340 KB Output is correct
57 Correct 1098 ms 72432 KB Output is correct
58 Correct 1181 ms 72824 KB Output is correct
59 Correct 1245 ms 82788 KB Output is correct
60 Correct 1104 ms 72448 KB Output is correct
61 Correct 1128 ms 72036 KB Output is correct
62 Correct 717 ms 45680 KB Output is correct
63 Correct 49 ms 8952 KB Output is correct
64 Correct 1004 ms 67216 KB Output is correct
65 Correct 891 ms 65360 KB Output is correct
66 Correct 651 ms 52856 KB Output is correct
67 Correct 781 ms 60612 KB Output is correct
68 Correct 588 ms 46460 KB Output is correct
69 Correct 1800 ms 85320 KB Output is correct
70 Correct 1430 ms 82724 KB Output is correct
71 Correct 1798 ms 81836 KB Output is correct
72 Correct 642 ms 48388 KB Output is correct
73 Correct 1646 ms 80064 KB Output is correct
74 Correct 741 ms 50652 KB Output is correct
75 Correct 723 ms 50652 KB Output is correct
76 Correct 943 ms 56216 KB Output is correct
77 Correct 816 ms 57640 KB Output is correct
78 Correct 634 ms 52268 KB Output is correct
79 Correct 668 ms 48448 KB Output is correct
80 Correct 732 ms 49016 KB Output is correct
81 Correct 1150 ms 60760 KB Output is correct
82 Correct 626 ms 49968 KB Output is correct
83 Correct 565 ms 49272 KB Output is correct
84 Correct 161 ms 13148 KB Output is correct
85 Correct 1592 ms 77804 KB Output is correct
86 Correct 2230 ms 98280 KB Output is correct
87 Correct 92 ms 14840 KB Output is correct
88 Correct 95 ms 14580 KB Output is correct
89 Correct 90 ms 14712 KB Output is correct
90 Correct 43 ms 5112 KB Output is correct
91 Correct 4 ms 496 KB Output is correct
92 Correct 34 ms 3836 KB Output is correct
93 Correct 450 ms 34560 KB Output is correct
94 Correct 50 ms 9464 KB Output is correct
95 Correct 1055 ms 70756 KB Output is correct
96 Correct 889 ms 66164 KB Output is correct
97 Correct 737 ms 54048 KB Output is correct
98 Correct 783 ms 61048 KB Output is correct
99 Correct 2914 ms 116868 KB Output is correct
100 Correct 1610 ms 82844 KB Output is correct
101 Correct 2063 ms 90976 KB Output is correct
102 Correct 677 ms 47668 KB Output is correct
103 Correct 694 ms 49784 KB Output is correct
104 Correct 720 ms 49784 KB Output is correct
105 Correct 953 ms 55264 KB Output is correct
106 Correct 793 ms 50200 KB Output is correct
107 Correct 915 ms 54504 KB Output is correct
108 Correct 68 ms 6904 KB Output is correct
109 Correct 1213 ms 66560 KB Output is correct
110 Correct 1355 ms 81836 KB Output is correct
111 Correct 1326 ms 81536 KB Output is correct
112 Correct 836 ms 56156 KB Output is correct
113 Correct 703 ms 54156 KB Output is correct