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Submission #622802

# Submission time Handle Problem Language Result Execution time Memory
622802 2022-08-04T14:46:28 Z cheissmart Sky Walking (IOI19_walk) C++14
57 / 100
 4000 ms 480752 KB 
#include "walk.h"
#include <bits/stdc++.h>
#define F first
#define S second
#define V vector
#define MP make_pair
#define EB emplace_back
#define PB push_back
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(), (v).end()

using namespace std;

typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;

const int INF = 1e9 + 7, N = 1e5 + 7;
const ll oo = 1e18;

vi asr[N], asl[N];
map<int, ll> dist[N];
map<int, vi> js[N];
vi ys[N];
vi ks[N];

ll brute(vi& x, vi& h, vi& l, vi& r, vi& y, int s, int g) {
	int n = SZ(x);
	int m = SZ(l);

	ys[s].PB(0);
	ys[g].PB(0);

	auto add_ev = [&] (int i, int j) {
		js[i][y[j]].PB(j);
		ys[i].PB(y[j]);
		ks[j].PB(i);
	};

	vi sh(n); iota(ALL(sh), 0);
	sort(ALL(sh), [&] (int i, int j) {
		return h[i] < h[j];
	});
	vi sy(m); iota(ALL(sy), 0);
	sort(ALL(sy), [&] (int i, int j) {
		return y[i] < y[j];
	});
	set<int> st;
	while(SZ(sy)) {
		int j = sy.back(); sy.pop_back();
		while(SZ(sh) && h[sh.back()] >= y[j]) {
			st.insert(sh.back());
			sh.pop_back();
		}
		auto it = st.lower_bound(l[j]);
		while(it != st.end() && *it <= r[j]) {
			add_ev(*it, j);
			it++;
		}
	}

	for(int i = 0; i < n; i++) {
		sort(ALL(ys[i]));
		ys[i].resize(unique(ALL(ys[i])) - ys[i].begin());
	}

	auto get_edges = [&] (int i, int yy) {
		V<pair<pi, int>> res;
		int pos = lower_bound(ALL(ys[i]), yy) - ys[i].begin();
		for(int _ = max(pos - 1, 0); _ <= min(pos + 1, SZ(ys[i]) - 1); _++) {
			int yyy = ys[i][_];
			res.EB(pi(i, yyy), abs(yy - yyy));
		}
		for(int j:js[i][yy]) {
			for(int k:ks[j]) {
				res.EB(pi(k, yy), abs(x[i] - x[k]));
			}
		}
		return res;
	};
	priority_queue<pair<ll, pi>, V<pair<ll, pi>>, greater<pair<ll, pi>>> pq;
	pq.push(MP(0, pi(s, 0)));
	dist[s][0] = 0;
	
	while(pq.size()) {
		auto[dd, state] = pq.top(); pq.pop();
		auto[i, yy] = state;
		if(dd > dist[i][yy]) continue;
		V<pair<pi, int>> res = get_edges(i, yy);
		for(auto[nstate, w]:res) {
			auto[ni, nyy] = nstate;
			if(dist[ni].count(nyy) == 0 || dd + w < dist[ni][nyy]) {
				dist[ni][nyy] = dd + w;
				pq.push(MP(dd + w, nstate));
			}
		}
	}

	if(dist[g].count(0))
		return dist[g][0];
	return -1;
}

ll min_distance(vi x, vi h, vi l, vi r, vi y, int s, int g) {
	int n = SZ(x);
	int m = SZ(l);
	if(s != 0 || g != n - 1) {
		return brute(x, h, l, r, y, s, g);
	}

	for(int i = 0; i < m; i++) {
		asl[l[i]].PB(y[i]);
		asr[r[i]].PB(y[i]);
	}
	map<int, ll> mp;
	mp[0] = 0;
	asr[0].PB(0);

	for(int i = 0; i < n; i++) {
		set<int> no;
		for(int yy:asl[i]) {
			no.insert(yy);
			auto it = mp.lower_bound(yy);
			ll d = oo;
			if(it != mp.end()) 
				d = min(d, it -> S + abs(yy - it -> F));
			if(it != mp.begin()) {
				it--;
				d = min(d, it -> S + abs(yy - it -> F));
			}
			mp[yy] = d;
		}
		if(i < n - 1) for(int yy:asr[i]) {
			if(no.count(yy)) continue;
			mp.erase(yy);
		}
		if(mp.empty()) return -1;
	}

	ll ans = oo;
	for(auto[yy, d]:mp)
		ans = min(ans, d + yy);
	return ans + x[n - 1] - x[0];
}

Compilation message

walk.cpp: In function 'll brute(vi&, vi&, vi&, vi&, vi&, int, int)':
walk.cpp:86:7: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   86 |   auto[dd, state] = pq.top(); pq.pop();
      |       ^
walk.cpp:87:7: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   87 |   auto[i, yy] = state;
      |       ^
walk.cpp:90:11: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   90 |   for(auto[nstate, w]:res) {
      |           ^
walk.cpp:91:8: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   91 |    auto[ni, nyy] = nstate;
      |        ^
walk.cpp: In function 'll min_distance(vi, vi, vi, vi, vi, int, int)':
walk.cpp:141:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
  141 |  for(auto[yy, d]:mp)
      |          ^

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 10 ms 19028 KB Output is correct
3 Correct 9 ms 19028 KB Output is correct
4 Correct 10 ms 19028 KB Output is correct
5 Correct 10 ms 19176 KB Output is correct
6 Correct 11 ms 19156 KB Output is correct
7 Correct 12 ms 19156 KB Output is correct
8 Correct 10 ms 19156 KB Output is correct
9 Correct 10 ms 19060 KB Output is correct
10 Correct 11 ms 19156 KB Output is correct
11 Correct 10 ms 19060 KB Output is correct
12 Correct 9 ms 19028 KB Output is correct
13 Correct 9 ms 18996 KB Output is correct
14 Correct 10 ms 19068 KB Output is correct
15 Correct 9 ms 19028 KB Output is correct
16 Correct 10 ms 19052 KB Output is correct
17 Correct 9 ms 19028 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 10 ms 19020 KB Output is correct
3 Correct 1980 ms 152748 KB Output is correct
4 Correct 1105 ms 159508 KB Output is correct
5 Correct 483 ms 102780 KB Output is correct
6 Correct 418 ms 93448 KB Output is correct
7 Correct 473 ms 102864 KB Output is correct
8 Correct 2859 ms 189984 KB Output is correct
9 Correct 659 ms 108804 KB Output is correct
10 Correct 1661 ms 215592 KB Output is correct
11 Correct 615 ms 90736 KB Output is correct
12 Correct 97 ms 29148 KB Output is correct
13 Correct 104 ms 29268 KB Output is correct
14 Correct 238 ms 54840 KB Output is correct
15 Correct 321 ms 69236 KB Output is correct
16 Correct 313 ms 70504 KB Output is correct
17 Correct 326 ms 71360 KB Output is correct
18 Correct 152 ms 37248 KB Output is correct
19 Correct 19 ms 21532 KB Output is correct
20 Correct 112 ms 44924 KB Output is correct
21 Correct 79 ms 30028 KB Output is correct
22 Correct 92 ms 32396 KB Output is correct
23 Correct 103 ms 33812 KB Output is correct
24 Correct 90 ms 32092 KB Output is correct
25 Correct 81 ms 30412 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 21332 KB Output is correct
2 Correct 95 ms 22860 KB Output is correct
3 Correct 101 ms 23440 KB Output is correct
4 Correct 133 ms 27184 KB Output is correct
5 Correct 154 ms 31656 KB Output is correct
6 Correct 148 ms 29604 KB Output is correct
7 Correct 77 ms 24672 KB Output is correct
8 Correct 98 ms 29232 KB Output is correct
9 Correct 141 ms 31032 KB Output is correct
10 Correct 114 ms 30796 KB Output is correct
11 Correct 21 ms 19796 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 21332 KB Output is correct
2 Correct 95 ms 22860 KB Output is correct
3 Correct 101 ms 23440 KB Output is correct
4 Correct 133 ms 27184 KB Output is correct
5 Correct 154 ms 31656 KB Output is correct
6 Correct 148 ms 29604 KB Output is correct
7 Correct 77 ms 24672 KB Output is correct
8 Correct 98 ms 29232 KB Output is correct
9 Correct 141 ms 31032 KB Output is correct
10 Correct 114 ms 30796 KB Output is correct
11 Correct 21 ms 19796 KB Output is correct
12 Correct 97 ms 23448 KB Output is correct
13 Correct 80 ms 26804 KB Output is correct
14 Correct 154 ms 31644 KB Output is correct
15 Correct 109 ms 27180 KB Output is correct
16 Correct 117 ms 27276 KB Output is correct
17 Correct 112 ms 27272 KB Output is correct
18 Correct 110 ms 27272 KB Output is correct
19 Correct 112 ms 27276 KB Output is correct
20 Correct 76 ms 24728 KB Output is correct
21 Correct 36 ms 20684 KB Output is correct
22 Correct 99 ms 25248 KB Output is correct
23 Correct 96 ms 25504 KB Output is correct
24 Correct 99 ms 27056 KB Output is correct
25 Correct 92 ms 25468 KB Output is correct
26 Correct 101 ms 29628 KB Output is correct
27 Correct 154 ms 31240 KB Output is correct
28 Correct 81 ms 26804 KB Output is correct
29 Correct 144 ms 29472 KB Output is correct
30 Correct 71 ms 24608 KB Output is correct
31 Correct 141 ms 31036 KB Output is correct
32 Correct 99 ms 29000 KB Output is correct
33 Correct 105 ms 29980 KB Output is correct
34 Correct 101 ms 29260 KB Output is correct
35 Correct 97 ms 28040 KB Output is correct
36 Correct 88 ms 27768 KB Output is correct
37 Correct 78 ms 27248 KB Output is correct
38 Correct 92 ms 29228 KB Output is correct
39 Correct 102 ms 30908 KB Output is correct
40 Correct 85 ms 29048 KB Output is correct
41 Correct 84 ms 27704 KB Output is correct

Subtask #5
0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 19028 KB Output is correct
2 Correct 10 ms 19028 KB Output is correct
3 Correct 9 ms 19028 KB Output is correct
4 Correct 10 ms 19028 KB Output is correct
5 Correct 10 ms 19176 KB Output is correct
6 Correct 11 ms 19156 KB Output is correct
7 Correct 12 ms 19156 KB Output is correct
8 Correct 10 ms 19156 KB Output is correct
9 Correct 10 ms 19060 KB Output is correct
10 Correct 11 ms 19156 KB Output is correct
11 Correct 10 ms 19060 KB Output is correct
12 Correct 9 ms 19028 KB Output is correct
13 Correct 9 ms 18996 KB Output is correct
14 Correct 10 ms 19068 KB Output is correct
15 Correct 9 ms 19028 KB Output is correct
16 Correct 10 ms 19052 KB Output is correct
17 Correct 9 ms 19028 KB Output is correct
18 Correct 9 ms 19028 KB Output is correct
19 Correct 10 ms 19020 KB Output is correct
20 Correct 1980 ms 152748 KB Output is correct
21 Correct 1105 ms 159508 KB Output is correct
22 Correct 483 ms 102780 KB Output is correct
23 Correct 418 ms 93448 KB Output is correct
24 Correct 473 ms 102864 KB Output is correct
25 Correct 2859 ms 189984 KB Output is correct
26 Correct 659 ms 108804 KB Output is correct
27 Correct 1661 ms 215592 KB Output is correct
28 Correct 615 ms 90736 KB Output is correct
29 Correct 97 ms 29148 KB Output is correct
30 Correct 104 ms 29268 KB Output is correct
31 Correct 238 ms 54840 KB Output is correct
32 Correct 321 ms 69236 KB Output is correct
33 Correct 313 ms 70504 KB Output is correct
34 Correct 326 ms 71360 KB Output is correct
35 Correct 152 ms 37248 KB Output is correct
36 Correct 19 ms 21532 KB Output is correct
37 Correct 112 ms 44924 KB Output is correct
38 Correct 79 ms 30028 KB Output is correct
39 Correct 92 ms 32396 KB Output is correct
40 Correct 103 ms 33812 KB Output is correct
41 Correct 90 ms 32092 KB Output is correct
42 Correct 81 ms 30412 KB Output is correct
43 Correct 32 ms 21332 KB Output is correct
44 Correct 95 ms 22860 KB Output is correct
45 Correct 101 ms 23440 KB Output is correct
46 Correct 133 ms 27184 KB Output is correct
47 Correct 154 ms 31656 KB Output is correct
48 Correct 148 ms 29604 KB Output is correct
49 Correct 77 ms 24672 KB Output is correct
50 Correct 98 ms 29232 KB Output is correct
51 Correct 141 ms 31032 KB Output is correct
52 Correct 114 ms 30796 KB Output is correct
53 Correct 21 ms 19796 KB Output is correct
54 Correct 97 ms 23448 KB Output is correct
55 Correct 80 ms 26804 KB Output is correct
56 Correct 154 ms 31644 KB Output is correct
57 Correct 109 ms 27180 KB Output is correct
58 Correct 117 ms 27276 KB Output is correct
59 Correct 112 ms 27272 KB Output is correct
60 Correct 110 ms 27272 KB Output is correct
61 Correct 112 ms 27276 KB Output is correct
62 Correct 76 ms 24728 KB Output is correct
63 Correct 36 ms 20684 KB Output is correct
64 Correct 99 ms 25248 KB Output is correct
65 Correct 96 ms 25504 KB Output is correct
66 Correct 99 ms 27056 KB Output is correct
67 Correct 92 ms 25468 KB Output is correct
68 Correct 101 ms 29628 KB Output is correct
69 Correct 154 ms 31240 KB Output is correct
70 Correct 81 ms 26804 KB Output is correct
71 Correct 144 ms 29472 KB Output is correct
72 Correct 71 ms 24608 KB Output is correct
73 Correct 141 ms 31036 KB Output is correct
74 Correct 99 ms 29000 KB Output is correct
75 Correct 105 ms 29980 KB Output is correct
76 Correct 101 ms 29260 KB Output is correct
77 Correct 97 ms 28040 KB Output is correct
78 Correct 88 ms 27768 KB Output is correct
79 Correct 78 ms 27248 KB Output is correct
80 Correct 92 ms 29228 KB Output is correct
81 Correct 102 ms 30908 KB Output is correct
82 Correct 85 ms 29048 KB Output is correct
83 Correct 84 ms 27704 KB Output is correct
84 Correct 110 ms 32536 KB Output is correct
85 Execution timed out 4097 ms 480752 KB Time limit exceeded
86 Halted 0 ms 0 KB -