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Submission #695335

# Submission time Handle Problem Language Result Execution time Memory
695335 2023-02-05T03:00:39 Z daoquanglinh2007 Toll (BOI17_toll) C++17
100 / 100
 224 ms 40352 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define pii pair <int, int>
#define mp make_pair

const int NM = 50000;
const ll INF = 1e18;

struct matrix{
	int M, N;
	ll grid[5][5];
	void init(int x, int y, ll val){
		M = x, N = y;
		for (int i = 0; i < M; i++)
			for (int j = 0; j < N; j++)
				grid[i][j] = val;
	}
	matrix operator * (matrix b){
		matrix a = *this;
		matrix c;
		c.init(a.M, b.N, +INF);
		for (int i = 0; i < c.M; i++)
			for (int j = 0; j < c.N; j++)
				for (int k = 0; k < a.N; k++)
					c.grid[i][j] = min(c.grid[i][j], a.grid[i][k]+b.grid[k][j]);
		return c;
	}
};

int K, N, M, O, nLayer;
map <pii, ll> d;
matrix A[NM+5];
matrix st[4*NM+5];

ll dist(int a, int b){
	if (a == b) return 0;
	if (d.count(mp(a, b)) == 0) return +INF;
	return d[mp(a, b)];
}

matrix iden(int k){
	matrix a;
	a.init(k, k, +INF);
	for (int i = 0; i < k; i++)
		a.grid[i][i] = 0;
	return a;
}

void build(int id, int l, int r){
	st[id].init(K, K, 0);
	if (l == r){
		st[id] = A[l];
		return;
	}
	int mid = (l+r)/2;
	build(2*id, l, mid);
	build(2*id+1, mid+1, r);
	st[id] = st[2*id]*st[2*id+1];
}

matrix get(int id, int l, int r, int u, int v){
	if (u > v || v < l || u > r) return iden(K);
	if (l >= u && r <= v) return st[id];
	int mid = (l+r)/2;
	return get(2*id, l, mid, u, v)*get(2*id+1, mid+1, r, u, v);
}

void solveQuery(int a, int b){
	int l = a/K, r = b/K;
	if (l >= r){
		cout << "-1\n";
		return;
	}
	matrix C; C.init(1, K, +INF);
	for (int i = 0; i < K; i++)
		C.grid[0][i] = dist(a, (l+1)*K+i);
	C = C*get(1, 0, nLayer-2, l+1, r-1);
	ll ans = C.grid[0][b%K];
	if (ans >= +INF) ans = -1;
	cout << ans << "\n";
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> K >> N >> M >> O;
	nLayer = N/K+(N%K > 0);
	for (int i = 0; i <= nLayer-2; i++)
		A[i].init(K, K, +INF);
	while (M--){
		int a, b; ll t;
		cin >> a >> b >> t;
		d[mp(a, b)] = t;
		A[a/K].grid[a%K][b%K] = t;
	}
	build(1, 0, nLayer-2);
	while (O--){
		int a, b;
		cin >> a >> b;
		solveQuery(a, b);
	}
	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 40352 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 2 ms 980 KB Output is correct
6 Correct 2 ms 980 KB Output is correct
7 Correct 2 ms 980 KB Output is correct
8 Correct 68 ms 40212 KB Output is correct
9 Correct 77 ms 40180 KB Output is correct
10 Correct 43 ms 37204 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 24760 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 9 ms 980 KB Output is correct
8 Correct 11 ms 724 KB Output is correct
9 Correct 68 ms 40220 KB Output is correct
10 Correct 138 ms 20044 KB Output is correct
11 Correct 97 ms 25076 KB Output is correct
12 Correct 72 ms 16244 KB Output is correct
13 Correct 137 ms 14204 KB Output is correct
14 Correct 69 ms 14676 KB Output is correct
15 Correct 62 ms 9512 KB Output is correct
16 Correct 65 ms 9548 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 980 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 3 ms 724 KB Output is correct
9 Correct 2 ms 596 KB Output is correct
10 Correct 49 ms 40280 KB Output is correct
11 Correct 72 ms 24680 KB Output is correct
12 Correct 103 ms 19936 KB Output is correct
13 Correct 130 ms 20908 KB Output is correct
14 Correct 82 ms 18556 KB Output is correct
15 Correct 49 ms 9584 KB Output is correct
16 Correct 65 ms 9552 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 980 KB Output is correct
7 Correct 1 ms 724 KB Output is correct
8 Correct 3 ms 724 KB Output is correct
9 Correct 2 ms 596 KB Output is correct
10 Correct 49 ms 40280 KB Output is correct
11 Correct 72 ms 24680 KB Output is correct
12 Correct 103 ms 19936 KB Output is correct
13 Correct 130 ms 20908 KB Output is correct
14 Correct 82 ms 18556 KB Output is correct
15 Correct 49 ms 9584 KB Output is correct
16 Correct 65 ms 9552 KB Output is correct
17 Correct 79 ms 24628 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 4 ms 1032 KB Output is correct
24 Correct 5 ms 724 KB Output is correct
25 Correct 10 ms 744 KB Output is correct
26 Correct 8 ms 596 KB Output is correct
27 Correct 55 ms 40268 KB Output is correct
28 Correct 113 ms 19996 KB Output is correct
29 Correct 127 ms 20888 KB Output is correct
30 Correct 105 ms 18812 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 40352 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 2 ms 980 KB Output is correct
6 Correct 2 ms 980 KB Output is correct
7 Correct 2 ms 980 KB Output is correct
8 Correct 68 ms 40212 KB Output is correct
9 Correct 77 ms 40180 KB Output is correct
10 Correct 43 ms 37204 KB Output is correct
11 Correct 92 ms 24760 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 9 ms 980 KB Output is correct
18 Correct 11 ms 724 KB Output is correct
19 Correct 68 ms 40220 KB Output is correct
20 Correct 138 ms 20044 KB Output is correct
21 Correct 97 ms 25076 KB Output is correct
22 Correct 72 ms 16244 KB Output is correct
23 Correct 137 ms 14204 KB Output is correct
24 Correct 69 ms 14676 KB Output is correct
25 Correct 62 ms 9512 KB Output is correct
26 Correct 65 ms 9548 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 980 KB Output is correct
33 Correct 1 ms 724 KB Output is correct
34 Correct 3 ms 724 KB Output is correct
35 Correct 2 ms 596 KB Output is correct
36 Correct 49 ms 40280 KB Output is correct
37 Correct 72 ms 24680 KB Output is correct
38 Correct 103 ms 19936 KB Output is correct
39 Correct 130 ms 20908 KB Output is correct
40 Correct 82 ms 18556 KB Output is correct
41 Correct 49 ms 9584 KB Output is correct
42 Correct 65 ms 9552 KB Output is correct
43 Correct 79 ms 24628 KB Output is correct
44 Correct 0 ms 340 KB Output is correct
45 Correct 0 ms 212 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 4 ms 1032 KB Output is correct
50 Correct 5 ms 724 KB Output is correct
51 Correct 10 ms 744 KB Output is correct
52 Correct 8 ms 596 KB Output is correct
53 Correct 55 ms 40268 KB Output is correct
54 Correct 113 ms 19996 KB Output is correct
55 Correct 127 ms 20888 KB Output is correct
56 Correct 105 ms 18812 KB Output is correct
57 Correct 224 ms 22100 KB Output is correct
58 Correct 72 ms 40264 KB Output is correct
59 Correct 101 ms 24988 KB Output is correct