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Submission #761906

# Submission time Handle Problem Language Result Execution time Memory
761906 2023-06-20T11:17:10 Z jmyszka2007 Toll (BOI17_toll) C++17
100 / 100
 179 ms 25920 KB 
#include <bits/stdc++.h>
using namespace std;
#define pi pair<int, int>
#define st first
#define nd second
#define vi vector<int>
#define pb push_back
constexpr int LIM = 50'000;
vector<pi>g[LIM + 10];
vector<pi>go[LIM + 10];
int dp[LIM + 10];
vi lft[LIM + 10];
vi rgt[LIM + 10];
int k;
void calc(int l, int r) {
	if(l / k >= r / k) {
		return;
	}
	int mid = ((r / k) + (l / k)) / 2;
	for(int i = mid * k; i < (mid + 1) * k; i++) {
		dp[i] = 0;
		for(int j = mid * k - 1; j >= l; j--) {
			for(auto x : g[j]) {
				dp[j] = min(dp[j], dp[x.st] + x.nd);
			
			}
			lft[i].pb(dp[j]);
		}
		dp[i] = 1e9;
		for(int j = mid * k - 1; j >= l; j--) {
			dp[j] = 1e9;
		}
	}
	for(int i = mid * k; i < (mid + 1) * k; i++) {
		dp[i] = 0;
		for(int j = (mid + 1) * k; j <= r; j++) {
			for(auto x : go[j]) {
				dp[j] = min(dp[j], dp[x.st] + x.nd);
			}
			rgt[i].pb(dp[j]);
		}
		dp[i] = 1e9;
		for(int j = (mid + 1) * k; j <= r; j++) {
			dp[j] = 1e9;
		}
	}
	calc(l, mid * k - 1);
	calc((mid + 1) * k, r);
}
int get_ans(int l, int r, int a, int b) {
	if(a / k >= b / k) {
		return -1;
	}
	int mid = ((r / k) + (l / k)) / 2;
	//cout << l << ' ' << r << '\n';
	//cout << a << ' ' << mid << ' ' << b << '\n';
	if(a / k <= mid && mid <= b / k) {
		int ans = 1e9;
		if(a / k == mid) {
			ans = rgt[a][b - (mid + 1) * k];
		}
		else if(b / k == mid) {
			ans = lft[b][mid * k - 1 - a];
		}
		else {
			for(int i = mid * k; i < (mid + 1) * k; i++) {
				ans = min(ans, lft[i][mid * k - 1 - a] + rgt[i][b - ((mid + 1) * k)]);
			}
		}
		if(ans >= 1e9) {
			return -1;
		}
		else {
			return ans;
		} 
	}
	if(a / k > mid) {
		return get_ans((mid + 1) * k, r, a, b);
	}
	else {
		return get_ans(l, mid * k - 1, a, b);
	}
}
int main() {
	//ios_base::sync_with_stdio(0);
	//cin.tie(0);
	int n, m, t;
	cin >> k >> n >> m >> t;
	for(int i = 1; i <= m; i++) {
		int a, b, x;
		cin >> a >> b >> x;
		g[a].pb({b, x});
		go[b].pb({a, x});
	}
	for(int i = 0; i < n; i++) {
		dp[i] = 1e9;
	}
	calc(0, n - 1);
	while(t--) {
		int a, b;
		cin >> a >> b;
		cout << get_ans(0, n - 1, a, b) << '\n';
	}
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 12876 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 5 ms 5076 KB Output is correct
6 Correct 5 ms 5076 KB Output is correct
7 Correct 5 ms 5052 KB Output is correct
8 Correct 59 ms 12816 KB Output is correct
9 Correct 57 ms 12620 KB Output is correct
10 Correct 26 ms 9764 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 110 ms 15684 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 3 ms 5008 KB Output is correct
6 Correct 2 ms 4948 KB Output is correct
7 Correct 16 ms 5216 KB Output is correct
8 Correct 17 ms 5204 KB Output is correct
9 Correct 60 ms 13644 KB Output is correct
10 Correct 134 ms 22020 KB Output is correct
11 Correct 115 ms 17300 KB Output is correct
12 Correct 92 ms 19472 KB Output is correct
13 Correct 127 ms 20280 KB Output is correct
14 Correct 78 ms 14540 KB Output is correct
15 Correct 75 ms 16732 KB Output is correct
16 Correct 83 ms 16604 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 5000 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 4 ms 5076 KB Output is correct
8 Correct 5 ms 5332 KB Output is correct
9 Correct 5 ms 5204 KB Output is correct
10 Correct 48 ms 13616 KB Output is correct
11 Correct 79 ms 16988 KB Output is correct
12 Correct 119 ms 21808 KB Output is correct
13 Correct 126 ms 22700 KB Output is correct
14 Correct 106 ms 20720 KB Output is correct
15 Correct 70 ms 16628 KB Output is correct
16 Correct 73 ms 16620 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4948 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 3 ms 5000 KB Output is correct
4 Correct 2 ms 4948 KB Output is correct
5 Correct 3 ms 4948 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 4 ms 5076 KB Output is correct
8 Correct 5 ms 5332 KB Output is correct
9 Correct 5 ms 5204 KB Output is correct
10 Correct 48 ms 13616 KB Output is correct
11 Correct 79 ms 16988 KB Output is correct
12 Correct 119 ms 21808 KB Output is correct
13 Correct 126 ms 22700 KB Output is correct
14 Correct 106 ms 20720 KB Output is correct
15 Correct 70 ms 16628 KB Output is correct
16 Correct 73 ms 16620 KB Output is correct
17 Correct 83 ms 17020 KB Output is correct
18 Correct 3 ms 5004 KB Output is correct
19 Correct 2 ms 5012 KB Output is correct
20 Correct 2 ms 4956 KB Output is correct
21 Correct 2 ms 5012 KB Output is correct
22 Correct 3 ms 4960 KB Output is correct
23 Correct 7 ms 5152 KB Output is correct
24 Correct 8 ms 5208 KB Output is correct
25 Correct 9 ms 5344 KB Output is correct
26 Correct 9 ms 5216 KB Output is correct
27 Correct 49 ms 13676 KB Output is correct
28 Correct 121 ms 21916 KB Output is correct
29 Correct 136 ms 22760 KB Output is correct
30 Correct 108 ms 20808 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 12876 KB Output is correct
2 Correct 2 ms 4948 KB Output is correct
3 Correct 2 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 5 ms 5076 KB Output is correct
6 Correct 5 ms 5076 KB Output is correct
7 Correct 5 ms 5052 KB Output is correct
8 Correct 59 ms 12816 KB Output is correct
9 Correct 57 ms 12620 KB Output is correct
10 Correct 26 ms 9764 KB Output is correct
11 Correct 110 ms 15684 KB Output is correct
12 Correct 2 ms 4948 KB Output is correct
13 Correct 2 ms 4948 KB Output is correct
14 Correct 2 ms 4948 KB Output is correct
15 Correct 3 ms 5008 KB Output is correct
16 Correct 2 ms 4948 KB Output is correct
17 Correct 16 ms 5216 KB Output is correct
18 Correct 17 ms 5204 KB Output is correct
19 Correct 60 ms 13644 KB Output is correct
20 Correct 134 ms 22020 KB Output is correct
21 Correct 115 ms 17300 KB Output is correct
22 Correct 92 ms 19472 KB Output is correct
23 Correct 127 ms 20280 KB Output is correct
24 Correct 78 ms 14540 KB Output is correct
25 Correct 75 ms 16732 KB Output is correct
26 Correct 83 ms 16604 KB Output is correct
27 Correct 2 ms 4948 KB Output is correct
28 Correct 2 ms 4948 KB Output is correct
29 Correct 3 ms 5000 KB Output is correct
30 Correct 2 ms 4948 KB Output is correct
31 Correct 3 ms 4948 KB Output is correct
32 Correct 3 ms 5076 KB Output is correct
33 Correct 4 ms 5076 KB Output is correct
34 Correct 5 ms 5332 KB Output is correct
35 Correct 5 ms 5204 KB Output is correct
36 Correct 48 ms 13616 KB Output is correct
37 Correct 79 ms 16988 KB Output is correct
38 Correct 119 ms 21808 KB Output is correct
39 Correct 126 ms 22700 KB Output is correct
40 Correct 106 ms 20720 KB Output is correct
41 Correct 70 ms 16628 KB Output is correct
42 Correct 73 ms 16620 KB Output is correct
43 Correct 83 ms 17020 KB Output is correct
44 Correct 3 ms 5004 KB Output is correct
45 Correct 2 ms 5012 KB Output is correct
46 Correct 2 ms 4956 KB Output is correct
47 Correct 2 ms 5012 KB Output is correct
48 Correct 3 ms 4960 KB Output is correct
49 Correct 7 ms 5152 KB Output is correct
50 Correct 8 ms 5208 KB Output is correct
51 Correct 9 ms 5344 KB Output is correct
52 Correct 9 ms 5216 KB Output is correct
53 Correct 49 ms 13676 KB Output is correct
54 Correct 121 ms 21916 KB Output is correct
55 Correct 136 ms 22760 KB Output is correct
56 Correct 108 ms 20808 KB Output is correct
57 Correct 179 ms 25920 KB Output is correct
58 Correct 60 ms 13760 KB Output is correct
59 Correct 97 ms 17356 KB Output is correct