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Submission #695328

# Submission time Handle Problem Language Result Execution time Memory
695328 2023-02-05T02:53:53 Z vjudge1 Toll (BOI17_toll) C++14
100 / 100
 216 ms 42708 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define pii pair <int, int>
#define fi first
#define se second
#define mp make_pair

const int NM = 50000, INF = 1e18;

struct matrix{
	int M, N, grid[5][5];
	void init(int x, int y, int 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, int> d;
matrix A[NM+5];
matrix st[4*NM+5];

int Layer(int a){
	return a/K;
}

int 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){
	if (Layer(a) >= Layer(b)){
		cout << "-1\n";
		return;
	}
	int l = Layer(a), r = Layer(b);
	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);
	int ans = C.grid[0][b%K];
	if (ans >= +INF) ans = -1;
	cout << ans << "\n";
}

signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> K >> N >> M >> O;
	nLayer = N/K+1;
	for (int i = 0; i < nLayer; i++)
		A[i].init(K, K, +INF);
	while (M--){
		int a, b, t;
		cin >> a >> b >> t;
		d[mp(a, b)] = t;
		int k = Layer(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 69 ms 42708 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 328 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 2 ms 980 KB Output is correct
6 Correct 4 ms 976 KB Output is correct
7 Correct 2 ms 976 KB Output is correct
8 Correct 71 ms 42648 KB Output is correct
9 Correct 74 ms 42484 KB Output is correct
10 Correct 33 ms 38760 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 26952 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 328 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 9 ms 1108 KB Output is correct
8 Correct 10 ms 932 KB Output is correct
9 Correct 71 ms 42516 KB Output is correct
10 Correct 136 ms 22624 KB Output is correct
11 Correct 96 ms 27460 KB Output is correct
12 Correct 76 ms 17808 KB Output is correct
13 Correct 140 ms 16752 KB Output is correct
14 Correct 70 ms 16420 KB Output is correct
15 Correct 65 ms 10936 KB Output is correct
16 Correct 61 ms 10980 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 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 2 ms 980 KB Output is correct
7 Correct 3 ms 768 KB Output is correct
8 Correct 3 ms 724 KB Output is correct
9 Correct 3 ms 728 KB Output is correct
10 Correct 48 ms 42464 KB Output is correct
11 Correct 74 ms 26860 KB Output is correct
12 Correct 101 ms 22484 KB Output is correct
13 Correct 133 ms 23724 KB Output is correct
14 Correct 91 ms 20684 KB Output is correct
15 Correct 51 ms 10936 KB Output is correct
16 Correct 73 ms 10908 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 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 2 ms 980 KB Output is correct
7 Correct 3 ms 768 KB Output is correct
8 Correct 3 ms 724 KB Output is correct
9 Correct 3 ms 728 KB Output is correct
10 Correct 48 ms 42464 KB Output is correct
11 Correct 74 ms 26860 KB Output is correct
12 Correct 101 ms 22484 KB Output is correct
13 Correct 133 ms 23724 KB Output is correct
14 Correct 91 ms 20684 KB Output is correct
15 Correct 51 ms 10936 KB Output is correct
16 Correct 73 ms 10908 KB Output is correct
17 Correct 85 ms 26904 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 324 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 4 ms 1008 KB Output is correct
24 Correct 5 ms 852 KB Output is correct
25 Correct 12 ms 724 KB Output is correct
26 Correct 9 ms 724 KB Output is correct
27 Correct 55 ms 42500 KB Output is correct
28 Correct 113 ms 22500 KB Output is correct
29 Correct 141 ms 23716 KB Output is correct
30 Correct 90 ms 20716 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 42708 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 0 ms 328 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 2 ms 980 KB Output is correct
6 Correct 4 ms 976 KB Output is correct
7 Correct 2 ms 976 KB Output is correct
8 Correct 71 ms 42648 KB Output is correct
9 Correct 74 ms 42484 KB Output is correct
10 Correct 33 ms 38760 KB Output is correct
11 Correct 104 ms 26952 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 9 ms 1108 KB Output is correct
18 Correct 10 ms 932 KB Output is correct
19 Correct 71 ms 42516 KB Output is correct
20 Correct 136 ms 22624 KB Output is correct
21 Correct 96 ms 27460 KB Output is correct
22 Correct 76 ms 17808 KB Output is correct
23 Correct 140 ms 16752 KB Output is correct
24 Correct 70 ms 16420 KB Output is correct
25 Correct 65 ms 10936 KB Output is correct
26 Correct 61 ms 10980 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 328 KB Output is correct
32 Correct 2 ms 980 KB Output is correct
33 Correct 3 ms 768 KB Output is correct
34 Correct 3 ms 724 KB Output is correct
35 Correct 3 ms 728 KB Output is correct
36 Correct 48 ms 42464 KB Output is correct
37 Correct 74 ms 26860 KB Output is correct
38 Correct 101 ms 22484 KB Output is correct
39 Correct 133 ms 23724 KB Output is correct
40 Correct 91 ms 20684 KB Output is correct
41 Correct 51 ms 10936 KB Output is correct
42 Correct 73 ms 10908 KB Output is correct
43 Correct 85 ms 26904 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 1 ms 324 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 4 ms 1008 KB Output is correct
50 Correct 5 ms 852 KB Output is correct
51 Correct 12 ms 724 KB Output is correct
52 Correct 9 ms 724 KB Output is correct
53 Correct 55 ms 42500 KB Output is correct
54 Correct 113 ms 22500 KB Output is correct
55 Correct 141 ms 23716 KB Output is correct
56 Correct 90 ms 20716 KB Output is correct
57 Correct 216 ms 25584 KB Output is correct
58 Correct 71 ms 42656 KB Output is correct
59 Correct 102 ms 27472 KB Output is correct