oj.uz

Submission #1059971

# Submission time Handle Problem Language Result Execution time Memory
1059971 2024-08-15T09:45:20 Z Tob Sky Walking (IOI19_walk) C++14
100 / 100
 2339 ms 171960 KB 
#include <bits/stdc++.h>

#include "walk.h"

#define F first
#define S second
#define all(x) x.begin(), x.end()
#define pb push_back
#define FIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

using namespace std;

typedef long long ll;
typedef pair <ll, ll> pii;
typedef vector <int> vi;

const int N = 1e5 + 7;
const ll inf = 1e18;

ll dis[6*N];
map <int, int> ma[N];
map <int, set <int> > se;
vector <int> ad[N], re[N];
vector <pii> adj[6*N];

inline void Edge(int x, int y, int w) {
	adj[x].pb({y, w});
	adj[y].pb({x, w});
}

ll min_distance(vi x, vi h, vi l, vi r, vi y, int sta, int en) {
	int n = x.size(), m = l.size();
	vector <int> v, gl(n, -1), gr(n, -1);
	stack <int> st;
	for (int i = 0; i < n; i++) {
		while (!st.empty() && h[st.top()] <= h[i]) st.pop();
		if (!st.empty()) gl[i] = st.top();
		st.push(i);
	}
	while (!st.empty()) st.pop();
	for (int i = n-1; i >= 0; i--) {
		while (!st.empty() && h[st.top()] <= h[i]) st.pop();
		if (!st.empty()) gr[i] = st.top();
		st.push(i);
	}
	
	auto Do = [&](int z) {
		v.clear();
		for (int i = 0; i < m; i++) if (l[i] < z && z < r[i] && y[i] <= h[z]) {
			l.pb(z);
			r.pb(r[i]);
			y.pb(y[i]);
			r[i] = z;
		}
		
		m = l.size();
		for (int i = 0; i < m; i++) if (l[i] < z && z < r[i] && y[i] > h[z]) v.pb(i);
		sort(all(v), [&](int a, int b) {return y[a] < y[b];});
		
		int le = z, ri = z;
		for (int i = 0; i < v.size(); i++) {
			while (h[le] < y[v[i]]) le = gl[le];
			while (h[ri] < y[v[i]]) ri = gr[ri];
			if (le != l[v[i]]) {
				l.pb(l[v[i]]);
				r.pb(le);
				y.pb(y[v[i]]);
			}
			if (ri != r[v[i]]) {
				l.pb(ri);
				r.pb(r[v[i]]);
				y.pb(y[v[i]]);
			}
			l[v[i]] = le;
			r[v[i]] = ri;
		}
		m = l.size();
	};
	
	Do(sta);
	Do(en);
	
	int cnt = 0;
	ma[sta][0] = cnt++;
	ma[en][0] = cnt++;
	for (int i = 0; i < m; i++) {
		if (ma[l[i]].find(y[i]) == ma[l[i]].end()) ma[l[i]][y[i]] = cnt++;
		if (ma[r[i]].find(y[i]) == ma[r[i]].end()) ma[r[i]][y[i]] = cnt++;
		ad[l[i]].pb(y[i]);
		re[r[i]].pb(y[i]);
		se[y[i]].insert(l[i]);
		se[y[i]].insert(r[i]);
	}
	
	multiset <int> t;
	t.insert(0);
	for (int i = 0; i < n; i++) {
		for (auto it : ad[i]) t.insert(it);
		auto down = [&](int it) {
			int z = *(--t.lower_bound(it));
			if (ma[i].find(z) == ma[i].end()) ma[i][z] = cnt++;
			Edge(ma[i][it], ma[i][z], it-z);
			se[z].insert(i);
		};
		for (auto it : ad[i]) down(it);
		for (auto it : re[i]) down(it);
		for (auto it : re[i]) t.erase(t.find(it));
	}
	
	for (int i = 0; i < m; i++) {
		auto p = se[y[i]].find(l[i]);
		int la = l[i]; ++p;
		while (p != se[y[i]].end() && *p <= r[i]) {
			Edge(ma[la][y[i]], ma[*p][y[i]], x[*p]-x[la]);
			la = *p;
			++p;
		}
	}
	
	for (int i = 1; i < cnt; i++) dis[i] = inf;
	set <pii> s;
	s.insert({0, 0});
	while (!s.empty()) {
		auto p = s.begin();
		int xx = p->S;
		s.erase(p);
		for (auto yy : adj[xx]) {
			if (dis[xx] + yy.S < dis[yy.F]) {
				if (dis[yy.F] != inf) s.erase({dis[yy.F], yy.F});
				dis[yy.F] = dis[xx] + yy.S;
				s.insert({dis[yy.F], yy.F});
			}
		}
	}
	if (dis[1] == inf) return -1;
	return dis[1];
}

Compilation message

walk.cpp: In lambda function:
walk.cpp:61:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |   for (int i = 0; i < v.size(); i++) {
      |                   ~~^~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 25176 KB Output is correct
2 Correct 4 ms 25180 KB Output is correct
3 Correct 4 ms 25176 KB Output is correct
4 Correct 4 ms 25176 KB Output is correct
5 Correct 4 ms 25176 KB Output is correct
6 Correct 4 ms 25180 KB Output is correct
7 Correct 4 ms 25264 KB Output is correct
8 Correct 4 ms 25180 KB Output is correct
9 Correct 4 ms 25196 KB Output is correct
10 Correct 4 ms 25180 KB Output is correct
11 Correct 4 ms 25180 KB Output is correct
12 Correct 3 ms 25180 KB Output is correct
13 Correct 4 ms 25180 KB Output is correct
14 Correct 4 ms 25176 KB Output is correct
15 Correct 4 ms 25176 KB Output is correct
16 Correct 4 ms 25220 KB Output is correct
17 Correct 4 ms 25176 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 25432 KB Output is correct
2 Correct 4 ms 25180 KB Output is correct
3 Correct 715 ms 100952 KB Output is correct
4 Correct 708 ms 111356 KB Output is correct
5 Correct 399 ms 91012 KB Output is correct
6 Correct 365 ms 89684 KB Output is correct
7 Correct 389 ms 91216 KB Output is correct
8 Correct 731 ms 103356 KB Output is correct
9 Correct 535 ms 105820 KB Output is correct
10 Correct 648 ms 110012 KB Output is correct
11 Correct 552 ms 96952 KB Output is correct
12 Correct 417 ms 98572 KB Output is correct
13 Correct 613 ms 114768 KB Output is correct
14 Correct 399 ms 91180 KB Output is correct
15 Correct 416 ms 89352 KB Output is correct
16 Correct 422 ms 87116 KB Output is correct
17 Correct 366 ms 84456 KB Output is correct
18 Correct 652 ms 86212 KB Output is correct
19 Correct 11 ms 28252 KB Output is correct
20 Correct 138 ms 58144 KB Output is correct
21 Correct 342 ms 83536 KB Output is correct
22 Correct 367 ms 88144 KB Output is correct
23 Correct 549 ms 100560 KB Output is correct
24 Correct 364 ms 87364 KB Output is correct
25 Correct 400 ms 84264 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 100 ms 42480 KB Output is correct
2 Correct 907 ms 108624 KB Output is correct
3 Correct 853 ms 110676 KB Output is correct
4 Correct 838 ms 117252 KB Output is correct
5 Correct 973 ms 116616 KB Output is correct
6 Correct 956 ms 113828 KB Output is correct
7 Correct 325 ms 76040 KB Output is correct
8 Correct 402 ms 98388 KB Output is correct
9 Correct 949 ms 112844 KB Output is correct
10 Correct 470 ms 86944 KB Output is correct
11 Correct 11 ms 27144 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 100 ms 42480 KB Output is correct
2 Correct 907 ms 108624 KB Output is correct
3 Correct 853 ms 110676 KB Output is correct
4 Correct 838 ms 117252 KB Output is correct
5 Correct 973 ms 116616 KB Output is correct
6 Correct 956 ms 113828 KB Output is correct
7 Correct 325 ms 76040 KB Output is correct
8 Correct 402 ms 98388 KB Output is correct
9 Correct 949 ms 112844 KB Output is correct
10 Correct 470 ms 86944 KB Output is correct
11 Correct 11 ms 27144 KB Output is correct
12 Correct 871 ms 110416 KB Output is correct
13 Correct 756 ms 117200 KB Output is correct
14 Correct 997 ms 117068 KB Output is correct
15 Correct 623 ms 106576 KB Output is correct
16 Correct 593 ms 101200 KB Output is correct
17 Correct 662 ms 111956 KB Output is correct
18 Correct 649 ms 106508 KB Output is correct
19 Correct 594 ms 101532 KB Output is correct
20 Correct 359 ms 74832 KB Output is correct
21 Correct 28 ms 30100 KB Output is correct
22 Correct 517 ms 98688 KB Output is correct
23 Correct 518 ms 98396 KB Output is correct
24 Correct 405 ms 91476 KB Output is correct
25 Correct 424 ms 95824 KB Output is correct
26 Correct 379 ms 91236 KB Output is correct
27 Correct 1078 ms 116816 KB Output is correct
28 Correct 726 ms 117076 KB Output is correct
29 Correct 1016 ms 113636 KB Output is correct
30 Correct 361 ms 76160 KB Output is correct
31 Correct 995 ms 112860 KB Output is correct
32 Correct 430 ms 84956 KB Output is correct
33 Correct 444 ms 87632 KB Output is correct
34 Correct 578 ms 92240 KB Output is correct
35 Correct 507 ms 92928 KB Output is correct
36 Correct 490 ms 88312 KB Output is correct
37 Correct 382 ms 83428 KB Output is correct
38 Correct 415 ms 88316 KB Output is correct
39 Correct 600 ms 100484 KB Output is correct
40 Correct 374 ms 87412 KB Output is correct
41 Correct 384 ms 84308 KB Output is correct

Subtask #5
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 25176 KB Output is correct
2 Correct 4 ms 25180 KB Output is correct
3 Correct 4 ms 25176 KB Output is correct
4 Correct 4 ms 25176 KB Output is correct
5 Correct 4 ms 25176 KB Output is correct
6 Correct 4 ms 25180 KB Output is correct
7 Correct 4 ms 25264 KB Output is correct
8 Correct 4 ms 25180 KB Output is correct
9 Correct 4 ms 25196 KB Output is correct
10 Correct 4 ms 25180 KB Output is correct
11 Correct 4 ms 25180 KB Output is correct
12 Correct 3 ms 25180 KB Output is correct
13 Correct 4 ms 25180 KB Output is correct
14 Correct 4 ms 25176 KB Output is correct
15 Correct 4 ms 25176 KB Output is correct
16 Correct 4 ms 25220 KB Output is correct
17 Correct 4 ms 25176 KB Output is correct
18 Correct 4 ms 25432 KB Output is correct
19 Correct 4 ms 25180 KB Output is correct
20 Correct 715 ms 100952 KB Output is correct
21 Correct 708 ms 111356 KB Output is correct
22 Correct 399 ms 91012 KB Output is correct
23 Correct 365 ms 89684 KB Output is correct
24 Correct 389 ms 91216 KB Output is correct
25 Correct 731 ms 103356 KB Output is correct
26 Correct 535 ms 105820 KB Output is correct
27 Correct 648 ms 110012 KB Output is correct
28 Correct 552 ms 96952 KB Output is correct
29 Correct 417 ms 98572 KB Output is correct
30 Correct 613 ms 114768 KB Output is correct
31 Correct 399 ms 91180 KB Output is correct
32 Correct 416 ms 89352 KB Output is correct
33 Correct 422 ms 87116 KB Output is correct
34 Correct 366 ms 84456 KB Output is correct
35 Correct 652 ms 86212 KB Output is correct
36 Correct 11 ms 28252 KB Output is correct
37 Correct 138 ms 58144 KB Output is correct
38 Correct 342 ms 83536 KB Output is correct
39 Correct 367 ms 88144 KB Output is correct
40 Correct 549 ms 100560 KB Output is correct
41 Correct 364 ms 87364 KB Output is correct
42 Correct 400 ms 84264 KB Output is correct
43 Correct 100 ms 42480 KB Output is correct
44 Correct 907 ms 108624 KB Output is correct
45 Correct 853 ms 110676 KB Output is correct
46 Correct 838 ms 117252 KB Output is correct
47 Correct 973 ms 116616 KB Output is correct
48 Correct 956 ms 113828 KB Output is correct
49 Correct 325 ms 76040 KB Output is correct
50 Correct 402 ms 98388 KB Output is correct
51 Correct 949 ms 112844 KB Output is correct
52 Correct 470 ms 86944 KB Output is correct
53 Correct 11 ms 27144 KB Output is correct
54 Correct 871 ms 110416 KB Output is correct
55 Correct 756 ms 117200 KB Output is correct
56 Correct 997 ms 117068 KB Output is correct
57 Correct 623 ms 106576 KB Output is correct
58 Correct 593 ms 101200 KB Output is correct
59 Correct 662 ms 111956 KB Output is correct
60 Correct 649 ms 106508 KB Output is correct
61 Correct 594 ms 101532 KB Output is correct
62 Correct 359 ms 74832 KB Output is correct
63 Correct 28 ms 30100 KB Output is correct
64 Correct 517 ms 98688 KB Output is correct
65 Correct 518 ms 98396 KB Output is correct
66 Correct 405 ms 91476 KB Output is correct
67 Correct 424 ms 95824 KB Output is correct
68 Correct 379 ms 91236 KB Output is correct
69 Correct 1078 ms 116816 KB Output is correct
70 Correct 726 ms 117076 KB Output is correct
71 Correct 1016 ms 113636 KB Output is correct
72 Correct 361 ms 76160 KB Output is correct
73 Correct 995 ms 112860 KB Output is correct
74 Correct 430 ms 84956 KB Output is correct
75 Correct 444 ms 87632 KB Output is correct
76 Correct 578 ms 92240 KB Output is correct
77 Correct 507 ms 92928 KB Output is correct
78 Correct 490 ms 88312 KB Output is correct
79 Correct 382 ms 83428 KB Output is correct
80 Correct 415 ms 88316 KB Output is correct
81 Correct 600 ms 100484 KB Output is correct
82 Correct 374 ms 87412 KB Output is correct
83 Correct 384 ms 84308 KB Output is correct
84 Correct 77 ms 39304 KB Output is correct
85 Correct 972 ms 114108 KB Output is correct
86 Correct 1575 ms 140572 KB Output is correct
87 Correct 47 ms 36756 KB Output is correct
88 Correct 43 ms 35924 KB Output is correct
89 Correct 43 ms 36692 KB Output is correct
90 Correct 22 ms 30300 KB Output is correct
91 Correct 5 ms 25180 KB Output is correct
92 Correct 18 ms 28764 KB Output is correct
93 Correct 237 ms 59380 KB Output is correct
94 Correct 26 ms 30548 KB Output is correct
95 Correct 565 ms 102428 KB Output is correct
96 Correct 472 ms 98920 KB Output is correct
97 Correct 419 ms 91764 KB Output is correct
98 Correct 466 ms 95944 KB Output is correct
99 Correct 2339 ms 171960 KB Output is correct
100 Correct 919 ms 118204 KB Output is correct
101 Correct 1605 ms 131364 KB Output is correct
102 Correct 326 ms 77360 KB Output is correct
103 Correct 450 ms 85076 KB Output is correct
104 Correct 437 ms 87576 KB Output is correct
105 Correct 556 ms 90708 KB Output is correct
106 Correct 447 ms 89428 KB Output is correct
107 Correct 523 ms 94364 KB Output is correct
108 Correct 34 ms 32108 KB Output is correct
109 Correct 664 ms 98040 KB Output is correct
110 Correct 709 ms 115780 KB Output is correct
111 Correct 671 ms 115436 KB Output is correct
112 Correct 474 ms 90452 KB Output is correct
113 Correct 434 ms 89304 KB Output is correct