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Submission #1043924

# Submission time Handle Problem Language Result Execution time Memory
1043924 2024-08-05T04:16:11 Z Alihan_8 Sky Walking (IOI19_walk) C++17
24 / 100
 4000 ms 932812 KB 
#include "walk.h"

#include <bits/stdc++.h>

using namespace std;

#define pb push_back
#define ar array
#define all(x) x.begin(), x.end()
#define ln '\n'

using i64 = long long;

template <class F, class S>
bool chmin(F &u, const S &v){
	bool flag = false;
	
	if ( u > v ){
		u = v; flag |= true;
	}
	
	return flag;
}

const i64 inf = 1e15;

long long min_distance(std::vector<int> x, std::vector<int> h, std::vector<int> l, std::vector<int> r, std::vector<int> y, int s, int g) {
	int n = x.size(), m = l.size();
	
	vector <vector<ar<int,3>>> H(n + 1);
	
	{ // shifting y
		y.pb(0);
		for ( int i = m; i > 0; i-- ){
			y[i] = y[i - 1];
		} y[0] = 0;
	}
	
	for ( int i = 1; i <= m; i++ ){
		H[l[i - 1]].pb({1, y[i], i});
		H[r[i - 1] + 1].pb({0, y[i], i});
	}
	
	set <pair<int,int>> st;
	
	vector <vector<int>> a(n, {0}), mp(m + 1);
	
	auto V = a;
	
	for ( int i = 0; i < n; i++ ){
		for ( auto &[t, y, j]: H[i] ){
			if ( t > 0 ){
				st.insert({y, j});
			} else st.erase({y, j});
		}
		
		auto it = st.begin();
		
		while ( it != st.end() && it -> first <= h[i] ){
			a[i].pb(it -> second);
			V[i].pb(it -> first);
			mp[it -> second].pb(i);
			it = next(it);
		}
	}
	
	vector <vector<i64>> dp(n);
	vector <vector<int>> id(n);
	
	for ( int i = 0; i < n; i++ ){
		sort(all(a[i]), [&](int &u, int &v){
			return y[u] < y[v];
		});
		
		int s = a[i].size();
		dp[i].resize(s, inf);
		id[i].resize(s);
		
		for ( int j = 1; j < s; j++ ){
			int x = a[i][j];
			
			id[i][j] = lower_bound(all(mp[x]), i) - mp[x].begin();
		}
	}
	
	dp[s][0] = 0;
	
	priority_queue <ar<i64,3>> q;
	
	q.push({0, s, 0});
	
	while ( !q.empty() ){
		auto [val, u, j] = q.top();
		q.pop();
		
		if ( -val != dp[u][j] ) continue;
		
		if ( j != 0 ){ // using skywalk a[u][j]
			int t = a[u][j];
			
			for ( auto i: {id[u][j] - 1, id[u][j] + 1} ){
				
				if ( i < 0 || i >= (int)mp[t].size() ){
					continue;
				}
				
				int v = mp[t][i], nxt = lower_bound(all(V[v]), y[t]) - V[v].begin();
				
				assert(y[a[v][nxt]] == y[t]);
				
				if ( chmin(dp[v][nxt], dp[u][j] + abs(x[v] - x[u])) ){
					q.push({-dp[v][nxt], v, nxt});
				}
			}
		}
		
		for ( auto i: {j + 1, j - 1} ){
			if ( i < 0 || i >= (int)dp[u].size() ){
				continue;
			}
			
			if ( chmin(dp[u][i], dp[u][j] + abs(y[a[u][j]] - y[a[u][i]])) ){
				q.push({-dp[u][i], u, i});
			}
		}
	}
	
	i64 ans = dp[g][0];
	
	if ( ans == inf ){
		ans = -1;
	}
	
	return ans;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 261 ms 32904 KB Output is correct
4 Correct 277 ms 51772 KB Output is correct
5 Correct 127 ms 46104 KB Output is correct
6 Correct 125 ms 44320 KB Output is correct
7 Correct 129 ms 46368 KB Output is correct
8 Correct 350 ms 38332 KB Output is correct
9 Correct 148 ms 44492 KB Output is correct
10 Correct 361 ms 61128 KB Output is correct
11 Correct 136 ms 28688 KB Output is correct
12 Correct 94 ms 37060 KB Output is correct
13 Correct 297 ms 56520 KB Output is correct
14 Correct 92 ms 36852 KB Output is correct
15 Correct 108 ms 39052 KB Output is correct
16 Correct 103 ms 35788 KB Output is correct
17 Correct 91 ms 34524 KB Output is correct
18 Correct 126 ms 48196 KB Output is correct
19 Correct 5 ms 2140 KB Output is correct
20 Correct 42 ms 18068 KB Output is correct
21 Correct 86 ms 31432 KB Output is correct
22 Correct 116 ms 37068 KB Output is correct
23 Correct 147 ms 44364 KB Output is correct
24 Correct 99 ms 35788 KB Output is correct
25 Correct 91 ms 34460 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 10652 KB Output is correct
2 Correct 2839 ms 147680 KB Output is correct
3 Execution timed out 4098 ms 932812 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #4
0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 10652 KB Output is correct
2 Correct 2839 ms 147680 KB Output is correct
3 Execution timed out 4098 ms 932812 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #5
0 / 43.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 261 ms 32904 KB Output is correct
21 Correct 277 ms 51772 KB Output is correct
22 Correct 127 ms 46104 KB Output is correct
23 Correct 125 ms 44320 KB Output is correct
24 Correct 129 ms 46368 KB Output is correct
25 Correct 350 ms 38332 KB Output is correct
26 Correct 148 ms 44492 KB Output is correct
27 Correct 361 ms 61128 KB Output is correct
28 Correct 136 ms 28688 KB Output is correct
29 Correct 94 ms 37060 KB Output is correct
30 Correct 297 ms 56520 KB Output is correct
31 Correct 92 ms 36852 KB Output is correct
32 Correct 108 ms 39052 KB Output is correct
33 Correct 103 ms 35788 KB Output is correct
34 Correct 91 ms 34524 KB Output is correct
35 Correct 126 ms 48196 KB Output is correct
36 Correct 5 ms 2140 KB Output is correct
37 Correct 42 ms 18068 KB Output is correct
38 Correct 86 ms 31432 KB Output is correct
39 Correct 116 ms 37068 KB Output is correct
40 Correct 147 ms 44364 KB Output is correct
41 Correct 99 ms 35788 KB Output is correct
42 Correct 91 ms 34460 KB Output is correct
43 Correct 31 ms 10652 KB Output is correct
44 Correct 2839 ms 147680 KB Output is correct
45 Execution timed out 4098 ms 932812 KB Time limit exceeded
46 Halted 0 ms 0 KB -