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Submission #1098630

# Submission time Handle Problem Language Result Execution time Memory
1098630 2024-10-09T16:15:47 Z flyingkite Toll (BOI17_toll) C++17
100 / 100
 176 ms 78740 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define ll int
#define pll pair<long long, long long>
#define pb push_back
#define F first
#define S second  
#define all(x) (x).begin(), (x).end()
 
const ll N = 5e4 + 100;
const ll inf = 1e9;
const ll mod = 1e9 + 7;
const ll block = 450;
ll k,n,m,q;
struct Matrix{
	vector<vector<ll>>d;
	ll n,m;
	void init(ll _n, ll _m){
		n = _n;
		m = _m;
		d.resize(n, vector<ll>(m));
	}
	ll col() const{
		return m;
	}
	ll row() const{
		return n;
	}
};
Matrix operator* (const Matrix &a, const Matrix &b){
	Matrix ans;
	ans.init(a.row(), b.col());
	for(int i = 0; i < a.row();i++){
		for(int j = 0; j < b.col();j++) ans.d[i][j] = inf;
	}
	for(int i = 0; i < a.row(); i++){
		for(int j = 0; j < b.col();j++){
			for(int k = 0; k < a.col();k++){
				ans.d[i][j] = min(ans.d[i][j], a.d[i][k] + b.d[k][j]);
			}
		}
	}
	return ans;
}
Matrix t[N];
Matrix st[N][17];
void to_thic_cau(){
	cin >> k >> n >> m >> q;
	ll lim = n / k;
	for(int i = 0; i <= lim;i++){
		t[i].init(k, k);
		for(int j = 0; j < k;j++){
			for(int x = 0; x < k;x++) t[i].d[j][x] = inf;
		}
	}
	for(int i = 1; i <= m;i++){
		ll u,v,w; cin >> u >> v >> w;
		t[v / k].d[u % k][v % k] = w;
	}
	for(int i = 0; i <= lim;i++) st[i][0] = t[i];
	for(int j = 1; j <= 16;j++){
		for(int i = 0; i + (1 << j) <= lim + 1;i++) st[i][j] = st[i][j-1] * st[i + (1 << (j - 1))][j-1]; 
	}
	while(q--){
		ll a,b; cin >> a >> b;
		if(a / k == b / k){
			if(a != b){
				cout << -1 << "\n";
			}
			else cout << 0 << '\n';
			continue;
		}
		ll l = a / k + 1, r = b / k;
		Matrix cur; 
		cur.init(1, k);
		for(int i = 0; i < k;i++) cur.d[0][i] = inf;
		cur.d[0][a % k] = 0;
		ll d = r - l + 1;
		for(int i = 16; i >= 0;i--){
			if(d & (1 << i)){
				assert(l <= lim);
				cur = cur * st[l][i];
				l += (1 << i);
			}
		}
		if(cur.d[0][b % k] >= 1e9){
			cout << -1 << "\n";
		}
		else cout << cur.d[0][b % k] << "\n";
	}
}   
 
signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	ll tc = 1;
	//cin >> tc;
	while(tc--) to_thic_cau();
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 158 ms 78648 KB Output is correct
2 Correct 13 ms 28504 KB Output is correct
3 Correct 11 ms 28508 KB Output is correct
4 Correct 12 ms 28508 KB Output is correct
5 Correct 14 ms 29304 KB Output is correct
6 Correct 14 ms 29276 KB Output is correct
7 Correct 14 ms 29248 KB Output is correct
8 Correct 176 ms 78740 KB Output is correct
9 Correct 118 ms 78676 KB Output is correct
10 Correct 106 ms 77744 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 76080 KB Output is correct
2 Correct 16 ms 28508 KB Output is correct
3 Correct 17 ms 28508 KB Output is correct
4 Correct 15 ms 28504 KB Output is correct
5 Correct 12 ms 28508 KB Output is correct
6 Correct 15 ms 28508 KB Output is correct
7 Correct 31 ms 29276 KB Output is correct
8 Correct 22 ms 29276 KB Output is correct
9 Correct 140 ms 78504 KB Output is correct
10 Correct 131 ms 71252 KB Output is correct
11 Correct 124 ms 76200 KB Output is correct
12 Correct 159 ms 70172 KB Output is correct
13 Correct 93 ms 52304 KB Output is correct
14 Correct 75 ms 53076 KB Output is correct
15 Correct 79 ms 51032 KB Output is correct
16 Correct 72 ms 51028 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 28684 KB Output is correct
2 Correct 11 ms 28608 KB Output is correct
3 Correct 11 ms 28508 KB Output is correct
4 Correct 17 ms 28700 KB Output is correct
5 Correct 12 ms 28508 KB Output is correct
6 Correct 17 ms 29276 KB Output is correct
7 Correct 12 ms 29200 KB Output is correct
8 Correct 20 ms 29044 KB Output is correct
9 Correct 21 ms 29020 KB Output is correct
10 Correct 111 ms 78424 KB Output is correct
11 Correct 97 ms 75956 KB Output is correct
12 Correct 109 ms 70996 KB Output is correct
13 Correct 112 ms 71252 KB Output is correct
14 Correct 143 ms 70716 KB Output is correct
15 Correct 72 ms 51024 KB Output is correct
16 Correct 95 ms 51028 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 28684 KB Output is correct
2 Correct 11 ms 28608 KB Output is correct
3 Correct 11 ms 28508 KB Output is correct
4 Correct 17 ms 28700 KB Output is correct
5 Correct 12 ms 28508 KB Output is correct
6 Correct 17 ms 29276 KB Output is correct
7 Correct 12 ms 29200 KB Output is correct
8 Correct 20 ms 29044 KB Output is correct
9 Correct 21 ms 29020 KB Output is correct
10 Correct 111 ms 78424 KB Output is correct
11 Correct 97 ms 75956 KB Output is correct
12 Correct 109 ms 70996 KB Output is correct
13 Correct 112 ms 71252 KB Output is correct
14 Correct 143 ms 70716 KB Output is correct
15 Correct 72 ms 51024 KB Output is correct
16 Correct 95 ms 51028 KB Output is correct
17 Correct 102 ms 76020 KB Output is correct
18 Correct 13 ms 28472 KB Output is correct
19 Correct 15 ms 28508 KB Output is correct
20 Correct 14 ms 28688 KB Output is correct
21 Correct 17 ms 28508 KB Output is correct
22 Correct 14 ms 28508 KB Output is correct
23 Correct 14 ms 29276 KB Output is correct
24 Correct 14 ms 29332 KB Output is correct
25 Correct 23 ms 29020 KB Output is correct
26 Correct 19 ms 29016 KB Output is correct
27 Correct 110 ms 78416 KB Output is correct
28 Correct 122 ms 70996 KB Output is correct
29 Correct 137 ms 71176 KB Output is correct
30 Correct 130 ms 70736 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 158 ms 78648 KB Output is correct
2 Correct 13 ms 28504 KB Output is correct
3 Correct 11 ms 28508 KB Output is correct
4 Correct 12 ms 28508 KB Output is correct
5 Correct 14 ms 29304 KB Output is correct
6 Correct 14 ms 29276 KB Output is correct
7 Correct 14 ms 29248 KB Output is correct
8 Correct 176 ms 78740 KB Output is correct
9 Correct 118 ms 78676 KB Output is correct
10 Correct 106 ms 77744 KB Output is correct
11 Correct 107 ms 76080 KB Output is correct
12 Correct 16 ms 28508 KB Output is correct
13 Correct 17 ms 28508 KB Output is correct
14 Correct 15 ms 28504 KB Output is correct
15 Correct 12 ms 28508 KB Output is correct
16 Correct 15 ms 28508 KB Output is correct
17 Correct 31 ms 29276 KB Output is correct
18 Correct 22 ms 29276 KB Output is correct
19 Correct 140 ms 78504 KB Output is correct
20 Correct 131 ms 71252 KB Output is correct
21 Correct 124 ms 76200 KB Output is correct
22 Correct 159 ms 70172 KB Output is correct
23 Correct 93 ms 52304 KB Output is correct
24 Correct 75 ms 53076 KB Output is correct
25 Correct 79 ms 51032 KB Output is correct
26 Correct 72 ms 51028 KB Output is correct
27 Correct 12 ms 28684 KB Output is correct
28 Correct 11 ms 28608 KB Output is correct
29 Correct 11 ms 28508 KB Output is correct
30 Correct 17 ms 28700 KB Output is correct
31 Correct 12 ms 28508 KB Output is correct
32 Correct 17 ms 29276 KB Output is correct
33 Correct 12 ms 29200 KB Output is correct
34 Correct 20 ms 29044 KB Output is correct
35 Correct 21 ms 29020 KB Output is correct
36 Correct 111 ms 78424 KB Output is correct
37 Correct 97 ms 75956 KB Output is correct
38 Correct 109 ms 70996 KB Output is correct
39 Correct 112 ms 71252 KB Output is correct
40 Correct 143 ms 70716 KB Output is correct
41 Correct 72 ms 51024 KB Output is correct
42 Correct 95 ms 51028 KB Output is correct
43 Correct 102 ms 76020 KB Output is correct
44 Correct 13 ms 28472 KB Output is correct
45 Correct 15 ms 28508 KB Output is correct
46 Correct 14 ms 28688 KB Output is correct
47 Correct 17 ms 28508 KB Output is correct
48 Correct 14 ms 28508 KB Output is correct
49 Correct 14 ms 29276 KB Output is correct
50 Correct 14 ms 29332 KB Output is correct
51 Correct 23 ms 29020 KB Output is correct
52 Correct 19 ms 29016 KB Output is correct
53 Correct 110 ms 78416 KB Output is correct
54 Correct 122 ms 70996 KB Output is correct
55 Correct 137 ms 71176 KB Output is correct
56 Correct 130 ms 70736 KB Output is correct
57 Correct 167 ms 72016 KB Output is correct
58 Correct 140 ms 78676 KB Output is correct
59 Correct 138 ms 76340 KB Output is correct