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Submission #779150

# Submission time Handle Problem Language Result Execution time Memory
779150 2023-07-11T08:30:10 Z raysh07 Toll (BOI17_toll) C++17
100 / 100
 216 ms 80716 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define INF (int)1e18
#define f first
#define s second

mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());

vector<vector<int>> combine(vector<vector<int>> &a, vector<vector<int>> &b){
	int k = a.size();
	vector<vector<int>> res(k, vector<int>(k, INF));
	for (int i = 0; i < k; i++){
		for (int j = 0; j < k; j++){
			for (int z = 0; z < k; z++){
				res[i][j] = min(res[i][j], a[i][z] + b[z][j]);
			}
		}
	}
	return res;
}

void Solve()
{
	int k, n, m, q; cin >> k >> n >> m >> q;

	vector<vector<vector<vector<int>>>> dp((n/k) + 1, vector<vector<vector<int>>>(18, vector<vector<int>>(k, vector<int>(k, INF))));
	for (int i = 1; i <= m; i++){
		int a, b, t; cin >> a >> b >> t;

		dp[a/k][0][a % k][b % k] = t;
	}

	for (int j = 1; j < 18; j++){
		for (int i = 0; i <= n/k; i++){
			//combine dp[i][j - 1] and dp[i + (1 << (j - 1))][j - 1]
			int x = i + (1 << (j - 1));
			
			if (x <= (n/k))
			dp[i][j] = combine(dp[i][j - 1], dp[x][j - 1]);
		}
	}

	while (q--){
		int a, b; cin >> a >> b;

		int x = a / k;
		int y = b / k;
		int diff = y - x;

		//lift diff times 
		vector<vector<int>> res(k, vector<int>(k, INF));
		res[a % k][a % k] = 0;

		for (int i = 17; i >= 0; i--){
			if (diff >> i & 1){
				res = combine(res, dp[x][i]);
				x += 1 << i;
			}
		}

		int ans = INF;
		for (int i = 0; i < k; i++){
			ans = min(ans, res[i][b % k]);
		}
        if (ans == INF) ans = -1;
		cout << ans << "\n";
	}
}

int32_t main() 
{
    auto begin = std::chrono::high_resolution_clock::now();
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int t = 1;
    
  //  cin >> t;
    for(int i = 1; i <= t; i++) 
    {
        //cout << "Case #" << i << ": ";
        Solve();
    }
    auto end = std::chrono::high_resolution_clock::now();
    auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
    cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n"; 
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 196 ms 79976 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 3 ms 1876 KB Output is correct
6 Correct 3 ms 1868 KB Output is correct
7 Correct 3 ms 1876 KB Output is correct
8 Correct 214 ms 80716 KB Output is correct
9 Correct 195 ms 80632 KB Output is correct
10 Correct 174 ms 79900 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 166 ms 68360 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 320 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 8 ms 2004 KB Output is correct
8 Correct 9 ms 1748 KB Output is correct
9 Correct 177 ms 80672 KB Output is correct
10 Correct 185 ms 62020 KB Output is correct
11 Correct 156 ms 69988 KB Output is correct
12 Correct 158 ms 60948 KB Output is correct
13 Correct 105 ms 44280 KB Output is correct
14 Correct 83 ms 37324 KB Output is correct
15 Correct 83 ms 43184 KB Output is correct
16 Correct 83 ms 43172 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 3 ms 1876 KB Output is correct
7 Correct 2 ms 1620 KB Output is correct
8 Correct 3 ms 1748 KB Output is correct
9 Correct 2 ms 1744 KB Output is correct
10 Correct 181 ms 80492 KB Output is correct
11 Correct 151 ms 69700 KB Output is correct
12 Correct 149 ms 61736 KB Output is correct
13 Correct 149 ms 61980 KB Output is correct
14 Correct 146 ms 61464 KB Output is correct
15 Correct 78 ms 43144 KB Output is correct
16 Correct 87 ms 43144 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 3 ms 1876 KB Output is correct
7 Correct 2 ms 1620 KB Output is correct
8 Correct 3 ms 1748 KB Output is correct
9 Correct 2 ms 1744 KB Output is correct
10 Correct 181 ms 80492 KB Output is correct
11 Correct 151 ms 69700 KB Output is correct
12 Correct 149 ms 61736 KB Output is correct
13 Correct 149 ms 61980 KB Output is correct
14 Correct 146 ms 61464 KB Output is correct
15 Correct 78 ms 43144 KB Output is correct
16 Correct 87 ms 43144 KB Output is correct
17 Correct 148 ms 69748 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 324 KB Output is correct
23 Correct 4 ms 1864 KB Output is correct
24 Correct 5 ms 1732 KB Output is correct
25 Correct 6 ms 1748 KB Output is correct
26 Correct 5 ms 1880 KB Output is correct
27 Correct 216 ms 80608 KB Output is correct
28 Correct 158 ms 61852 KB Output is correct
29 Correct 173 ms 62248 KB Output is correct
30 Correct 149 ms 61516 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 196 ms 79976 KB Output is correct
2 Correct 1 ms 320 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 3 ms 1876 KB Output is correct
6 Correct 3 ms 1868 KB Output is correct
7 Correct 3 ms 1876 KB Output is correct
8 Correct 214 ms 80716 KB Output is correct
9 Correct 195 ms 80632 KB Output is correct
10 Correct 174 ms 79900 KB Output is correct
11 Correct 166 ms 68360 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 320 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 8 ms 2004 KB Output is correct
18 Correct 9 ms 1748 KB Output is correct
19 Correct 177 ms 80672 KB Output is correct
20 Correct 185 ms 62020 KB Output is correct
21 Correct 156 ms 69988 KB Output is correct
22 Correct 158 ms 60948 KB Output is correct
23 Correct 105 ms 44280 KB Output is correct
24 Correct 83 ms 37324 KB Output is correct
25 Correct 83 ms 43184 KB Output is correct
26 Correct 83 ms 43172 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 3 ms 1876 KB Output is correct
33 Correct 2 ms 1620 KB Output is correct
34 Correct 3 ms 1748 KB Output is correct
35 Correct 2 ms 1744 KB Output is correct
36 Correct 181 ms 80492 KB Output is correct
37 Correct 151 ms 69700 KB Output is correct
38 Correct 149 ms 61736 KB Output is correct
39 Correct 149 ms 61980 KB Output is correct
40 Correct 146 ms 61464 KB Output is correct
41 Correct 78 ms 43144 KB Output is correct
42 Correct 87 ms 43144 KB Output is correct
43 Correct 148 ms 69748 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 324 KB Output is correct
49 Correct 4 ms 1864 KB Output is correct
50 Correct 5 ms 1732 KB Output is correct
51 Correct 6 ms 1748 KB Output is correct
52 Correct 5 ms 1880 KB Output is correct
53 Correct 216 ms 80608 KB Output is correct
54 Correct 158 ms 61852 KB Output is correct
55 Correct 173 ms 62248 KB Output is correct
56 Correct 149 ms 61516 KB Output is correct
57 Correct 192 ms 76332 KB Output is correct
58 Correct 195 ms 80700 KB Output is correct
59 Correct 170 ms 69928 KB Output is correct