oj.uz

Submission #770360

# Submission time Handle Problem Language Result Execution time Memory
770360 2023-07-01T06:01:37 Z SanguineChameleon Sky Walking (IOI19_walk) C++17
57 / 100
 3664 ms 1048576 KB 
#include "walk.h"
#include <bits/stdc++.h>
using namespace std;

const long long inf = 1e18L + 20;
const int maxN = 1e5 + 20;
const int max_nodes = maxN * 12;
int X[maxN];
int Y[maxN * 2];
int H[maxN * 2];
int L[maxN];
int R[maxN];
pair<int, int> orderY[maxN * 2];
vector<int> qadd[maxN];
vector<int> qrem[maxN];
vector<int> row[maxN * 2];
vector<int> col[maxN];
long long dist[max_nodes];
vector<pair<int, int>> adj[max_nodes];
map<pair<int, int>, int> points;
int node_cnt;

int get_id(int i, int j) {
	auto it = points.find(make_pair(i, j));
	if (it == points.end()) {
		return points[make_pair(i, j)] = ++node_cnt;
	}
	else {
		return it->second;
	}
}

void add_edge(int i1, int j1, int i2, int j2) {
	int u = get_id(i1, j1);
	int v = get_id(i2, j2);
	int w = abs(X[i1] - X[i2]) + abs(Y[j1] - Y[j2]);
	adj[u].emplace_back(v, w);
	adj[v].emplace_back(u, w);
}

long long min_distance(vector<int> _X, vector<int> _H, vector<int> _L, vector<int> _R, vector<int> _Y, int _S, int _T) {
	int N = _X.size();
	int M = _L.size();
	bool sub34 = (_S == 0 && _T == N - 1);
	for (int i = 1; i <= N; i++) {
		X[i] = _X[i - 1];
	}
	for (int i = 1; i <= M; i++) {
		orderY[i] = make_pair(_Y[i - 1], i);
	}
	for (int i = M + 1; i <= M + N; i++) {
		orderY[i] = make_pair(_H[i - M - 1], i);
	}
	sort(orderY + 1, orderY + N + M + 1);
	for (int i = 1; i <= N + M; i++) {
		Y[i] = orderY[i].first;
		H[orderY[i].second] = i;
	}
	for (int i = 1; i <= M; i++) {
		L[i] = _L[i - 1] + 1;
		R[i] = _R[i - 1] + 1;
		qadd[L[i]].push_back(i);
		qrem[R[i]].push_back(i);
	}
	set<int> walks;
	for (int i = 1; i <= N; i++) {
		col[i].push_back(0);
		col[i].push_back(H[M + i]);
		for (auto id: qadd[i]) {
			walks.insert(H[id]);
		}
		if (sub34) {
			for (auto id: qadd[i]) {
				col[i].push_back(H[id]);
				row[H[id]].push_back(i);
				auto it = walks.lower_bound(H[id]);
				if (it != walks.begin()) {
					it--;
					col[i].push_back(*it);
					row[*it].push_back(i);
				}
			}
			for (auto id: qrem[i]) {
				col[i].push_back(H[id]);
				row[H[id]].push_back(i);
				auto it = walks.lower_bound(H[id]);
				if (it != walks.begin()) {
					it--;
					col[i].push_back(*it);
					row[*it].push_back(i);
				}
			}
		}
		else {
			auto it = walks.upper_bound(H[M + i]);
			while (it != walks.begin()) {
				it--;
				col[i].push_back(*it);
				row[*it].push_back(i);
			}
		}
		for (auto id: qrem[i]) {
			walks.erase(H[id]);
		}
	}
	for (int i = 1; i <= N; i++) {
		sort(col[i].begin(), col[i].end());
		for (int j = 0; j < (int)col[i].size() - 1; j++) {
			add_edge(i, col[i][j], i, col[i][j + 1]);
		}
	}
	for (int i = 1; i <= M; i++) {
		sort(row[H[i]].begin(), row[H[i]].end());
		for (int j = 0; j < (int)row[H[i]].size() - 1; j++) {
			add_edge(row[H[i]][j], H[i], row[H[i]][j + 1], H[i]);
		}
	}
	int S = get_id(_S + 1, 0);
	int T = get_id(_T + 1, 0);
	for (int i = 1; i <= node_cnt; i++) {
		dist[i] = inf;
	}
	dist[S] = 0;
	priority_queue<pair<long long, int>, vector<pair<long long, int>>, greater<pair<long long, int>>> Q;
	Q.emplace(0, S);
	while (!Q.empty()) {
		int u = Q.top().second;
		if (Q.top().first != dist[u]) {
			Q.pop();
			continue;
		}
		Q.pop();
		for (auto e: adj[u]) {
			int v = e.first;
			int w = e.second;
			if (dist[u] + w < dist[v]) {
				dist[v] = dist[u] + w;
				Q.emplace(dist[v], v);
			}
		}
	}
	if (dist[T] == inf) {
		return -1;
	}
	else {
		return dist[T];
	}
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 40148 KB Output is correct
2 Correct 18 ms 40276 KB Output is correct
3 Correct 19 ms 40276 KB Output is correct
4 Correct 18 ms 40220 KB Output is correct
5 Correct 22 ms 40340 KB Output is correct
6 Correct 18 ms 40344 KB Output is correct
7 Correct 18 ms 40276 KB Output is correct
8 Correct 18 ms 40324 KB Output is correct
9 Correct 18 ms 40232 KB Output is correct
10 Correct 18 ms 40404 KB Output is correct
11 Correct 18 ms 40276 KB Output is correct
12 Correct 18 ms 40260 KB Output is correct
13 Correct 18 ms 40276 KB Output is correct
14 Correct 18 ms 40296 KB Output is correct
15 Correct 20 ms 40176 KB Output is correct
16 Correct 18 ms 40276 KB Output is correct
17 Correct 18 ms 40308 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 40148 KB Output is correct
2 Correct 17 ms 40152 KB Output is correct
3 Correct 1512 ms 162760 KB Output is correct
4 Correct 1332 ms 190436 KB Output is correct
5 Correct 1024 ms 170240 KB Output is correct
6 Correct 918 ms 157744 KB Output is correct
7 Correct 954 ms 170316 KB Output is correct
8 Correct 1935 ms 194864 KB Output is correct
9 Correct 1102 ms 166900 KB Output is correct
10 Correct 1848 ms 237380 KB Output is correct
11 Correct 700 ms 115312 KB Output is correct
12 Correct 501 ms 112596 KB Output is correct
13 Correct 696 ms 135900 KB Output is correct
14 Correct 451 ms 106556 KB Output is correct
15 Correct 612 ms 110112 KB Output is correct
16 Correct 471 ms 109752 KB Output is correct
17 Correct 508 ms 107716 KB Output is correct
18 Correct 665 ms 118568 KB Output is correct
19 Correct 31 ms 43476 KB Output is correct
20 Correct 166 ms 72716 KB Output is correct
21 Correct 442 ms 105312 KB Output is correct
22 Correct 516 ms 112740 KB Output is correct
23 Correct 681 ms 120208 KB Output is correct
24 Correct 505 ms 111136 KB Output is correct
25 Correct 474 ms 108768 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 208 ms 66700 KB Output is correct
2 Correct 797 ms 109932 KB Output is correct
3 Correct 780 ms 116516 KB Output is correct
4 Correct 1059 ms 145640 KB Output is correct
5 Correct 1169 ms 144880 KB Output is correct
6 Correct 1142 ms 142640 KB Output is correct
7 Correct 504 ms 108924 KB Output is correct
8 Correct 499 ms 116656 KB Output is correct
9 Correct 1186 ms 141580 KB Output is correct
10 Correct 672 ms 118680 KB Output is correct
11 Correct 58 ms 54532 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 208 ms 66700 KB Output is correct
2 Correct 797 ms 109932 KB Output is correct
3 Correct 780 ms 116516 KB Output is correct
4 Correct 1059 ms 145640 KB Output is correct
5 Correct 1169 ms 144880 KB Output is correct
6 Correct 1142 ms 142640 KB Output is correct
7 Correct 504 ms 108924 KB Output is correct
8 Correct 499 ms 116656 KB Output is correct
9 Correct 1186 ms 141580 KB Output is correct
10 Correct 672 ms 118680 KB Output is correct
11 Correct 58 ms 54532 KB Output is correct
12 Correct 788 ms 116480 KB Output is correct
13 Correct 925 ms 144336 KB Output is correct
14 Correct 1171 ms 144828 KB Output is correct
15 Correct 923 ms 135736 KB Output is correct
16 Correct 813 ms 135924 KB Output is correct
17 Correct 968 ms 145952 KB Output is correct
18 Correct 895 ms 135828 KB Output is correct
19 Correct 852 ms 136016 KB Output is correct
20 Correct 545 ms 108084 KB Output is correct
21 Correct 142 ms 69816 KB Output is correct
22 Correct 614 ms 128900 KB Output is correct
23 Correct 593 ms 127296 KB Output is correct
24 Correct 495 ms 116304 KB Output is correct
25 Correct 556 ms 122916 KB Output is correct
26 Correct 440 ms 110396 KB Output is correct
27 Correct 1422 ms 145444 KB Output is correct
28 Correct 751 ms 143712 KB Output is correct
29 Correct 1255 ms 142520 KB Output is correct
30 Correct 536 ms 109300 KB Output is correct
31 Correct 1192 ms 139540 KB Output is correct
32 Correct 540 ms 112888 KB Output is correct
33 Correct 536 ms 117236 KB Output is correct
34 Correct 658 ms 119704 KB Output is correct
35 Correct 673 ms 120340 KB Output is correct
36 Correct 482 ms 114864 KB Output is correct
37 Correct 425 ms 108104 KB Output is correct
38 Correct 475 ms 115812 KB Output is correct
39 Correct 696 ms 123096 KB Output is correct
40 Correct 506 ms 114204 KB Output is correct
41 Correct 446 ms 111480 KB Output is correct

Subtask #5
0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 40148 KB Output is correct
2 Correct 18 ms 40276 KB Output is correct
3 Correct 19 ms 40276 KB Output is correct
4 Correct 18 ms 40220 KB Output is correct
5 Correct 22 ms 40340 KB Output is correct
6 Correct 18 ms 40344 KB Output is correct
7 Correct 18 ms 40276 KB Output is correct
8 Correct 18 ms 40324 KB Output is correct
9 Correct 18 ms 40232 KB Output is correct
10 Correct 18 ms 40404 KB Output is correct
11 Correct 18 ms 40276 KB Output is correct
12 Correct 18 ms 40260 KB Output is correct
13 Correct 18 ms 40276 KB Output is correct
14 Correct 18 ms 40296 KB Output is correct
15 Correct 20 ms 40176 KB Output is correct
16 Correct 18 ms 40276 KB Output is correct
17 Correct 18 ms 40308 KB Output is correct
18 Correct 17 ms 40148 KB Output is correct
19 Correct 17 ms 40152 KB Output is correct
20 Correct 1512 ms 162760 KB Output is correct
21 Correct 1332 ms 190436 KB Output is correct
22 Correct 1024 ms 170240 KB Output is correct
23 Correct 918 ms 157744 KB Output is correct
24 Correct 954 ms 170316 KB Output is correct
25 Correct 1935 ms 194864 KB Output is correct
26 Correct 1102 ms 166900 KB Output is correct
27 Correct 1848 ms 237380 KB Output is correct
28 Correct 700 ms 115312 KB Output is correct
29 Correct 501 ms 112596 KB Output is correct
30 Correct 696 ms 135900 KB Output is correct
31 Correct 451 ms 106556 KB Output is correct
32 Correct 612 ms 110112 KB Output is correct
33 Correct 471 ms 109752 KB Output is correct
34 Correct 508 ms 107716 KB Output is correct
35 Correct 665 ms 118568 KB Output is correct
36 Correct 31 ms 43476 KB Output is correct
37 Correct 166 ms 72716 KB Output is correct
38 Correct 442 ms 105312 KB Output is correct
39 Correct 516 ms 112740 KB Output is correct
40 Correct 681 ms 120208 KB Output is correct
41 Correct 505 ms 111136 KB Output is correct
42 Correct 474 ms 108768 KB Output is correct
43 Correct 208 ms 66700 KB Output is correct
44 Correct 797 ms 109932 KB Output is correct
45 Correct 780 ms 116516 KB Output is correct
46 Correct 1059 ms 145640 KB Output is correct
47 Correct 1169 ms 144880 KB Output is correct
48 Correct 1142 ms 142640 KB Output is correct
49 Correct 504 ms 108924 KB Output is correct
50 Correct 499 ms 116656 KB Output is correct
51 Correct 1186 ms 141580 KB Output is correct
52 Correct 672 ms 118680 KB Output is correct
53 Correct 58 ms 54532 KB Output is correct
54 Correct 788 ms 116480 KB Output is correct
55 Correct 925 ms 144336 KB Output is correct
56 Correct 1171 ms 144828 KB Output is correct
57 Correct 923 ms 135736 KB Output is correct
58 Correct 813 ms 135924 KB Output is correct
59 Correct 968 ms 145952 KB Output is correct
60 Correct 895 ms 135828 KB Output is correct
61 Correct 852 ms 136016 KB Output is correct
62 Correct 545 ms 108084 KB Output is correct
63 Correct 142 ms 69816 KB Output is correct
64 Correct 614 ms 128900 KB Output is correct
65 Correct 593 ms 127296 KB Output is correct
66 Correct 495 ms 116304 KB Output is correct
67 Correct 556 ms 122916 KB Output is correct
68 Correct 440 ms 110396 KB Output is correct
69 Correct 1422 ms 145444 KB Output is correct
70 Correct 751 ms 143712 KB Output is correct
71 Correct 1255 ms 142520 KB Output is correct
72 Correct 536 ms 109300 KB Output is correct
73 Correct 1192 ms 139540 KB Output is correct
74 Correct 540 ms 112888 KB Output is correct
75 Correct 536 ms 117236 KB Output is correct
76 Correct 658 ms 119704 KB Output is correct
77 Correct 673 ms 120340 KB Output is correct
78 Correct 482 ms 114864 KB Output is correct
79 Correct 425 ms 108104 KB Output is correct
80 Correct 475 ms 115812 KB Output is correct
81 Correct 696 ms 123096 KB Output is correct
82 Correct 506 ms 114204 KB Output is correct
83 Correct 446 ms 111480 KB Output is correct
84 Correct 144 ms 61416 KB Output is correct
85 Runtime error 3664 ms 1048576 KB Execution killed with signal 11
86 Halted 0 ms 0 KB -