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Submission #427694

# Submission time Handle Problem Language Result Execution time Memory
427694 2021-06-14T19:07:35 Z amoo_safar Sky Walking (IOI19_walk) C++17
100 / 100
 1718 ms 96480 KB 
#include "walk.h"

#include <bits/stdc++.h>
#define F first
#define S second
#define pb push_back
#define all(x) x.begin(), x.end()
#define debug(x) cerr << #x << " : " << x << '\n'

using namespace std;

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

const int N = 3e5 + 10;

int n, m;
vector<int> x, h, l, r, y;

int seg[N << 2];
int Build(int id, int L, int R){
	if(L + 1 == R) return seg[id] = h[L];
	int mid = (L + R) >> 1;
	return seg[id] = max( Build(id << 1, L, mid), Build(id << 1 | 1, mid, R) );
}
int Seg_Get(int id, int l, int r, int L, int R){
	if(r <= L || R <= l) return -1;
	if(l <= L && R <= r) return seg[id];
	int mid = (L + R) >> 1;
	return max( Seg_Get(id << 1, l, r, L, mid), Seg_Get(id << 1 | 1, l, r, mid, R) );
}
int Get_Max(int l, int r){ // [l, r]
	// cerr << ""
	if(r < l) return -1;
	return Seg_Get(1, l, r + 1, 0, n);
}
vector< pair<ll, ll> > G[N];
void Add_Edge(int a, int b){
	// cerr << "!! " << a << ' ' << b << '\n';
	int ls = max(l[a], l[b]);
	int rs = min(r[a], r[b]);
	if(max(y[a], y[b]) <= Get_Max(ls, rs)){
		G[a].pb({b, abs(y[a] - y[b])});
		G[b].pb({a, abs(y[a] - y[b])});
	}
	// cerr << "!! " << a << ' ' << b << '\n';
}

vector<int> ins[N], dl[N];
void Add(vector<int> sg){
	for(int i = 0; i < N; i++) ins[i].clear(), dl[i].clear();
	for(int i : sg){
		ins[l[i]].pb(i);
		dl[r[i]].pb(i);
	}
	set< pair<int, int> > st; // y id

	for(int i = 0; i < N; i++){
		// cerr << "^^ " << i << '\n';	
		for(auto u : ins[i]){
			// cerr << "&& " << u << ' ' << y[u] << '\n';
			st.insert({y[u], u});
			auto it = st.find({y[u], u});
			if(it != st.begin())
				Add_Edge(it->S, prev(it) -> S);
			if(next(it) != st.end())
				Add_Edge(it->S, next(it) -> S);
		}
		// cerr << "^^ " << i << '\n';
		for(auto u : dl[i]){
			auto it = st.find({y[u], u});
			if(it != st.begin() && next(it) != st.end())
				Add_Edge(next(it) -> S, prev(it) -> S);
			st.erase(it);
		}
	}
}

ll dis[N];
typedef pair<ll, ll> pll;
ll Djik(int src, int des){
	memset(dis, 31, sizeof dis);
	dis[src] = 0;
	set<pll> st;
	st.insert({dis[src], src});
	while(!st.empty()){
		int fr = st.begin() -> S;
		st.erase(st.begin());
		for(auto [adj, w] : G[fr]){
			assert(w >= 0);
			if(dis[adj] > dis[fr] + w){
				st.erase({dis[adj], adj});
				dis[adj] = dis[fr] + w;
				st.insert({dis[adj], adj});
			}
		}
	}
	return dis[des];
}

int Get_Last(int l, int r, int yy){
	for(int i = r; i >= l; i--)
		if(h[i] >= yy)
			return i;
	return l;
}
int Get_First(int l, int r, int yy){
	for(int i = l; i <= r; i++)
		if(h[i] >= yy)
			return i;
	return r;
}


ll min_distance(vector<int> _x, vector<int> _h, vector<int> _l, vector<int> _r, vector<int> _y, int s, int g) {
	if(s > g) swap(s, g);
	x = _x;
	h = _h;
	n = _x.size();

	ll ans = x[g] - x[s];
	
	vector<int> lft, mid, rgt;
	int u, v;
	for(int i = 0; i < (int) _l.size(); i++){
		u = _l[i];
		v = _r[i];
		int a = -1, b = -1, c = -1;
		if(u <= s){
			a = l.size();
			l.pb(u);
			r.pb(min(s, v));
			y.pb(_y[i]);
		}
		if(s <= v && u <= g){
			b = l.size();
			l.pb(max(u, s));
			r.pb(min(g, v));
			y.pb(_y[i]);
		}
		if(g <= v){
			c = l.size();
			l.pb(max(u, g));
			r.pb(v);
			y.pb(_y[i]);
		}
		if(a != -1) lft.pb(a);
		if(b != -1) mid.pb(b);
		if(c != -1) rgt.pb(c);
		if(a != -1 && b != -1){
			G[a].pb({b, 2ll * (x[s] - x[ Get_Last(0, s, _y[i]) ] )});
			G[b].pb({a, 2ll * (x[ Get_First(s, g, _y[i]) ] - x[s])});
		}
		
		if(b != -1 && c != -1){
			G[b].pb({c, 2ll * (x[ Get_First(g, n - 1, _y[i]) ] - x[g]) });
			G[c].pb({b, 2ll * (x[g] - x[ Get_Last(s, g, _y[i]) ])});
		}
	}

	l.pb(s); r.pb(s); y.pb(0);
	l.pb(s); r.pb(s); y.pb(0);

	l.pb(g); r.pb(g); y.pb(0);
	l.pb(g); r.pb(g); y.pb(0);
	
	int src = l.size() - 3;
	int des = l.size() - 1;
	
	mid.pb(src - 1);
	lft.pb(src);
	G[src].pb({src - 1, 0});

	mid.pb(des - 1);
	rgt.pb(des);
	G[des - 1].pb({des, 0});
	m = l.size();
	

	for(int i = 0; i < m; i++)
		assert(l[i] <= r[i]);
	// for(int i = 0; i < m; i++)
	// 	assert(0 <= l[i]);
	// for(int i = 0; i < m; i++)
	// 	assert(r[i] <= n);
	
	// l = _l;
	// r = _r;
	// y = _y;

	// for(int i = 0; i < m; i++) mid.pb(i);
	Build(1, 0, n);
	// debug("A");
	Add(lft);
	// debug("B");
	Add(mid);
	// debug("C");
	Add(rgt);
	// debug("D");

	ans += Djik(src, des);
	ll max_len = 2000000000ll;
	return ans > 1ll * (n + m) * max_len ? -1 : ans;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 23756 KB Output is correct
2 Correct 20 ms 23752 KB Output is correct
3 Correct 21 ms 23756 KB Output is correct
4 Correct 20 ms 23788 KB Output is correct
5 Correct 21 ms 23768 KB Output is correct
6 Correct 20 ms 23760 KB Output is correct
7 Correct 21 ms 23764 KB Output is correct
8 Correct 21 ms 23756 KB Output is correct
9 Correct 19 ms 23748 KB Output is correct
10 Correct 21 ms 23772 KB Output is correct
11 Correct 21 ms 23756 KB Output is correct
12 Correct 20 ms 23712 KB Output is correct
13 Correct 20 ms 23756 KB Output is correct
14 Correct 21 ms 23756 KB Output is correct
15 Correct 19 ms 23752 KB Output is correct
16 Correct 20 ms 23800 KB Output is correct
17 Correct 21 ms 23756 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 21 ms 23744 KB Output is correct
2 Correct 21 ms 23756 KB Output is correct
3 Correct 287 ms 43960 KB Output is correct
4 Correct 287 ms 48612 KB Output is correct
5 Correct 218 ms 42136 KB Output is correct
6 Correct 494 ms 42756 KB Output is correct
7 Correct 211 ms 42244 KB Output is correct
8 Correct 280 ms 43992 KB Output is correct
9 Correct 244 ms 47068 KB Output is correct
10 Correct 346 ms 48152 KB Output is correct
11 Correct 255 ms 44508 KB Output is correct
12 Correct 222 ms 42412 KB Output is correct
13 Correct 303 ms 50156 KB Output is correct
14 Correct 1718 ms 48240 KB Output is correct
15 Correct 1237 ms 46012 KB Output is correct
16 Correct 290 ms 46796 KB Output is correct
17 Correct 249 ms 45660 KB Output is correct
18 Correct 1186 ms 96480 KB Output is correct
19 Correct 38 ms 25284 KB Output is correct
20 Correct 888 ms 39476 KB Output is correct
21 Correct 200 ms 45824 KB Output is correct
22 Correct 233 ms 45316 KB Output is correct
23 Correct 610 ms 65052 KB Output is correct
24 Correct 215 ms 45732 KB Output is correct
25 Correct 221 ms 45560 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 34112 KB Output is correct
2 Correct 351 ms 43512 KB Output is correct
3 Correct 367 ms 44324 KB Output is correct
4 Correct 456 ms 49496 KB Output is correct
5 Correct 678 ms 52292 KB Output is correct
6 Correct 751 ms 56656 KB Output is correct
7 Correct 211 ms 39412 KB Output is correct
8 Correct 189 ms 42444 KB Output is correct
9 Correct 752 ms 64016 KB Output is correct
10 Correct 402 ms 56100 KB Output is correct
11 Correct 32 ms 25848 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 34112 KB Output is correct
2 Correct 351 ms 43512 KB Output is correct
3 Correct 367 ms 44324 KB Output is correct
4 Correct 456 ms 49496 KB Output is correct
5 Correct 678 ms 52292 KB Output is correct
6 Correct 751 ms 56656 KB Output is correct
7 Correct 211 ms 39412 KB Output is correct
8 Correct 189 ms 42444 KB Output is correct
9 Correct 752 ms 64016 KB Output is correct
10 Correct 402 ms 56100 KB Output is correct
11 Correct 32 ms 25848 KB Output is correct
12 Correct 360 ms 44192 KB Output is correct
13 Correct 443 ms 49584 KB Output is correct
14 Correct 603 ms 52260 KB Output is correct
15 Correct 374 ms 44964 KB Output is correct
16 Correct 412 ms 52524 KB Output is correct
17 Correct 395 ms 48992 KB Output is correct
18 Correct 354 ms 44984 KB Output is correct
19 Correct 473 ms 52368 KB Output is correct
20 Correct 268 ms 40084 KB Output is correct
21 Correct 53 ms 27976 KB Output is correct
22 Correct 275 ms 44508 KB Output is correct
23 Correct 243 ms 44120 KB Output is correct
24 Correct 231 ms 41548 KB Output is correct
25 Correct 246 ms 43660 KB Output is correct
26 Correct 215 ms 40164 KB Output is correct
27 Correct 663 ms 52668 KB Output is correct
28 Correct 375 ms 49368 KB Output is correct
29 Correct 664 ms 56664 KB Output is correct
30 Correct 228 ms 39532 KB Output is correct
31 Correct 807 ms 64076 KB Output is correct
32 Correct 305 ms 50080 KB Output is correct
33 Correct 303 ms 46176 KB Output is correct
34 Correct 427 ms 55152 KB Output is correct
35 Correct 322 ms 46808 KB Output is correct
36 Correct 213 ms 44200 KB Output is correct
37 Correct 211 ms 43840 KB Output is correct
38 Correct 233 ms 42912 KB Output is correct
39 Correct 551 ms 62988 KB Output is correct
40 Correct 217 ms 43608 KB Output is correct
41 Correct 227 ms 43704 KB Output is correct

Subtask #5
43.0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 23756 KB Output is correct
2 Correct 20 ms 23752 KB Output is correct
3 Correct 21 ms 23756 KB Output is correct
4 Correct 20 ms 23788 KB Output is correct
5 Correct 21 ms 23768 KB Output is correct
6 Correct 20 ms 23760 KB Output is correct
7 Correct 21 ms 23764 KB Output is correct
8 Correct 21 ms 23756 KB Output is correct
9 Correct 19 ms 23748 KB Output is correct
10 Correct 21 ms 23772 KB Output is correct
11 Correct 21 ms 23756 KB Output is correct
12 Correct 20 ms 23712 KB Output is correct
13 Correct 20 ms 23756 KB Output is correct
14 Correct 21 ms 23756 KB Output is correct
15 Correct 19 ms 23752 KB Output is correct
16 Correct 20 ms 23800 KB Output is correct
17 Correct 21 ms 23756 KB Output is correct
18 Correct 21 ms 23744 KB Output is correct
19 Correct 21 ms 23756 KB Output is correct
20 Correct 287 ms 43960 KB Output is correct
21 Correct 287 ms 48612 KB Output is correct
22 Correct 218 ms 42136 KB Output is correct
23 Correct 494 ms 42756 KB Output is correct
24 Correct 211 ms 42244 KB Output is correct
25 Correct 280 ms 43992 KB Output is correct
26 Correct 244 ms 47068 KB Output is correct
27 Correct 346 ms 48152 KB Output is correct
28 Correct 255 ms 44508 KB Output is correct
29 Correct 222 ms 42412 KB Output is correct
30 Correct 303 ms 50156 KB Output is correct
31 Correct 1718 ms 48240 KB Output is correct
32 Correct 1237 ms 46012 KB Output is correct
33 Correct 290 ms 46796 KB Output is correct
34 Correct 249 ms 45660 KB Output is correct
35 Correct 1186 ms 96480 KB Output is correct
36 Correct 38 ms 25284 KB Output is correct
37 Correct 888 ms 39476 KB Output is correct
38 Correct 200 ms 45824 KB Output is correct
39 Correct 233 ms 45316 KB Output is correct
40 Correct 610 ms 65052 KB Output is correct
41 Correct 215 ms 45732 KB Output is correct
42 Correct 221 ms 45560 KB Output is correct
43 Correct 117 ms 34112 KB Output is correct
44 Correct 351 ms 43512 KB Output is correct
45 Correct 367 ms 44324 KB Output is correct
46 Correct 456 ms 49496 KB Output is correct
47 Correct 678 ms 52292 KB Output is correct
48 Correct 751 ms 56656 KB Output is correct
49 Correct 211 ms 39412 KB Output is correct
50 Correct 189 ms 42444 KB Output is correct
51 Correct 752 ms 64016 KB Output is correct
52 Correct 402 ms 56100 KB Output is correct
53 Correct 32 ms 25848 KB Output is correct
54 Correct 360 ms 44192 KB Output is correct
55 Correct 443 ms 49584 KB Output is correct
56 Correct 603 ms 52260 KB Output is correct
57 Correct 374 ms 44964 KB Output is correct
58 Correct 412 ms 52524 KB Output is correct
59 Correct 395 ms 48992 KB Output is correct
60 Correct 354 ms 44984 KB Output is correct
61 Correct 473 ms 52368 KB Output is correct
62 Correct 268 ms 40084 KB Output is correct
63 Correct 53 ms 27976 KB Output is correct
64 Correct 275 ms 44508 KB Output is correct
65 Correct 243 ms 44120 KB Output is correct
66 Correct 231 ms 41548 KB Output is correct
67 Correct 246 ms 43660 KB Output is correct
68 Correct 215 ms 40164 KB Output is correct
69 Correct 663 ms 52668 KB Output is correct
70 Correct 375 ms 49368 KB Output is correct
71 Correct 664 ms 56664 KB Output is correct
72 Correct 228 ms 39532 KB Output is correct
73 Correct 807 ms 64076 KB Output is correct
74 Correct 305 ms 50080 KB Output is correct
75 Correct 303 ms 46176 KB Output is correct
76 Correct 427 ms 55152 KB Output is correct
77 Correct 322 ms 46808 KB Output is correct
78 Correct 213 ms 44200 KB Output is correct
79 Correct 211 ms 43840 KB Output is correct
80 Correct 233 ms 42912 KB Output is correct
81 Correct 551 ms 62988 KB Output is correct
82 Correct 217 ms 43608 KB Output is correct
83 Correct 227 ms 43704 KB Output is correct
84 Correct 110 ms 32428 KB Output is correct
85 Correct 416 ms 48280 KB Output is correct
86 Correct 1006 ms 73128 KB Output is correct
87 Correct 66 ms 30912 KB Output is correct
88 Correct 86 ms 32132 KB Output is correct
89 Correct 69 ms 30920 KB Output is correct
90 Correct 46 ms 26696 KB Output is correct
91 Correct 22 ms 23892 KB Output is correct
92 Correct 32 ms 25300 KB Output is correct
93 Correct 168 ms 38588 KB Output is correct
94 Correct 54 ms 29568 KB Output is correct
95 Correct 322 ms 48684 KB Output is correct
96 Correct 313 ms 47916 KB Output is correct
97 Correct 798 ms 47980 KB Output is correct
98 Correct 238 ms 46812 KB Output is correct
99 Correct 1444 ms 89076 KB Output is correct
100 Correct 396 ms 53172 KB Output is correct
101 Correct 899 ms 68180 KB Output is correct
102 Correct 197 ms 42284 KB Output is correct
103 Correct 313 ms 52048 KB Output is correct
104 Correct 311 ms 48944 KB Output is correct
105 Correct 440 ms 56592 KB Output is correct
106 Correct 814 ms 53956 KB Output is correct
107 Correct 934 ms 54568 KB Output is correct
108 Correct 57 ms 26336 KB Output is correct
109 Correct 484 ms 49672 KB Output is correct
110 Correct 362 ms 52248 KB Output is correct
111 Correct 387 ms 52228 KB Output is correct
112 Correct 372 ms 49388 KB Output is correct
113 Correct 344 ms 47420 KB Output is correct