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Submission #695329

# Submission time Handle Problem Language Result Execution time Memory
695329 2023-02-05T02:54:45 Z daoquanglinh2007 Toll (BOI17_toll) C++17
100 / 100
 215 ms 41880 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;
	if (N%K > 0) nLayer++;
	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 68 ms 41872 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 2 ms 980 KB Output is correct
6 Correct 4 ms 980 KB Output is correct
7 Correct 2 ms 980 KB Output is correct
8 Correct 68 ms 41804 KB Output is correct
9 Correct 68 ms 41676 KB Output is correct
10 Correct 33 ms 38736 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 89 ms 25500 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 324 KB Output is correct
7 Correct 9 ms 1132 KB Output is correct
8 Correct 10 ms 852 KB Output is correct
9 Correct 63 ms 41872 KB Output is correct
10 Correct 121 ms 20584 KB Output is correct
11 Correct 92 ms 25932 KB Output is correct
12 Correct 78 ms 16868 KB Output is correct
13 Correct 143 ms 14600 KB Output is correct
14 Correct 69 ms 15060 KB Output is correct
15 Correct 59 ms 9804 KB Output is correct
16 Correct 65 ms 9904 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 2 ms 980 KB Output is correct
7 Correct 2 ms 724 KB Output is correct
8 Correct 4 ms 852 KB Output is correct
9 Correct 2 ms 724 KB Output is correct
10 Correct 48 ms 41772 KB Output is correct
11 Correct 72 ms 25512 KB Output is correct
12 Correct 100 ms 20496 KB Output is correct
13 Correct 118 ms 21432 KB Output is correct
14 Correct 81 ms 19008 KB Output is correct
15 Correct 50 ms 9812 KB Output is correct
16 Correct 48 ms 9764 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 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 2 ms 980 KB Output is correct
7 Correct 2 ms 724 KB Output is correct
8 Correct 4 ms 852 KB Output is correct
9 Correct 2 ms 724 KB Output is correct
10 Correct 48 ms 41772 KB Output is correct
11 Correct 72 ms 25512 KB Output is correct
12 Correct 100 ms 20496 KB Output is correct
13 Correct 118 ms 21432 KB Output is correct
14 Correct 81 ms 19008 KB Output is correct
15 Correct 50 ms 9812 KB Output is correct
16 Correct 48 ms 9764 KB Output is correct
17 Correct 78 ms 25460 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 1 ms 328 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 980 KB Output is correct
24 Correct 6 ms 852 KB Output is correct
25 Correct 11 ms 836 KB Output is correct
26 Correct 8 ms 724 KB Output is correct
27 Correct 53 ms 41772 KB Output is correct
28 Correct 106 ms 20440 KB Output is correct
29 Correct 147 ms 21388 KB Output is correct
30 Correct 87 ms 19008 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 41872 KB Output is correct
2 Correct 1 ms 328 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 2 ms 980 KB Output is correct
6 Correct 4 ms 980 KB Output is correct
7 Correct 2 ms 980 KB Output is correct
8 Correct 68 ms 41804 KB Output is correct
9 Correct 68 ms 41676 KB Output is correct
10 Correct 33 ms 38736 KB Output is correct
11 Correct 89 ms 25500 KB Output is correct
12 Correct 1 ms 328 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 9 ms 1132 KB Output is correct
18 Correct 10 ms 852 KB Output is correct
19 Correct 63 ms 41872 KB Output is correct
20 Correct 121 ms 20584 KB Output is correct
21 Correct 92 ms 25932 KB Output is correct
22 Correct 78 ms 16868 KB Output is correct
23 Correct 143 ms 14600 KB Output is correct
24 Correct 69 ms 15060 KB Output is correct
25 Correct 59 ms 9804 KB Output is correct
26 Correct 65 ms 9904 KB Output is correct
27 Correct 0 ms 340 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 2 ms 980 KB Output is correct
33 Correct 2 ms 724 KB Output is correct
34 Correct 4 ms 852 KB Output is correct
35 Correct 2 ms 724 KB Output is correct
36 Correct 48 ms 41772 KB Output is correct
37 Correct 72 ms 25512 KB Output is correct
38 Correct 100 ms 20496 KB Output is correct
39 Correct 118 ms 21432 KB Output is correct
40 Correct 81 ms 19008 KB Output is correct
41 Correct 50 ms 9812 KB Output is correct
42 Correct 48 ms 9764 KB Output is correct
43 Correct 78 ms 25460 KB Output is correct
44 Correct 0 ms 340 KB Output is correct
45 Correct 0 ms 340 KB Output is correct
46 Correct 1 ms 328 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 980 KB Output is correct
50 Correct 6 ms 852 KB Output is correct
51 Correct 11 ms 836 KB Output is correct
52 Correct 8 ms 724 KB Output is correct
53 Correct 53 ms 41772 KB Output is correct
54 Correct 106 ms 20440 KB Output is correct
55 Correct 147 ms 21388 KB Output is correct
56 Correct 87 ms 19008 KB Output is correct
57 Correct 215 ms 22492 KB Output is correct
58 Correct 73 ms 41880 KB Output is correct
59 Correct 113 ms 25844 KB Output is correct