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Submission #945346

# Submission time Handle Problem Language Result Execution time Memory
945346 2024-03-13T16:32:06 Z TAhmed33 Travelling Merchant (APIO17_merchant) C++
100 / 100
 142 ms 6692 KB 
#include <bits/stdc++.h>
using namespace std;
typedef __int128 ll;
const ll inf = LLONG_MAX / 2;
const int MAXN = 100 + 25;
ll s[MAXN][1001], b[MAXN][1001]; int n, m, k;
ll adj[MAXN][MAXN], adj2[MAXN][MAXN], val[MAXN][MAXN];
bool check (ll x) {
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			adj2[i][j] = x * min(inf / x, adj[i][j]) - val[i][j];
		}
	}
	bool flag = 0;
	for (int l = 1; l <= n; l++) {
		for (int i = 1; i <= n; i++) {
			for (int j = 1; j <= n; j++) {
				adj2[i][j] = min(adj2[i][j], adj2[i][l] + adj2[l][j]);
			}
		}
	}
	for (int i = 1; i <= n; i++) flag |= adj2[i][i] <= 0;
	return flag;
}
int main () {
	cin >> n >> m >> k;
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= k; j++) {
			int x, y; cin >> x >> y;
			b[i][j] = x, s[i][j] = y;
		}
	}
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			adj[i][j] = inf;	
		}
	}
	while (m--) {
		int a, b, c; cin >> a >> b >> c;
		adj[a][b] = c;
	}
	for (int l = 1; l <= n; l++) {
		for (int i = 1; i <= n; i++) {
			for (int j = 1; j <= n; j++) {
				adj[i][j] = min(adj[i][j], adj[i][l] + adj[l][j]);
			}
		}
	}
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= n; j++) {
			for (int l = 1; l <= k; l++) {
				if (b[i][l] != -1 && s[j][l] != -1) {
					val[i][j] = max(val[i][j], s[j][l] - b[i][l]);
				}
			}
		}
	}
	ll l = 1, r = 1e9, ans = -1;
	while (l <= r) {
		ll mid = (l + r) / 2;
		if (check(mid)) {
			l = mid + 1; 
		} else {
			r = mid - 1;
		}
	}
	cout << (long long)(r) << '\n';
}

Compilation message

merchant.cpp: In function 'int main()':
merchant.cpp:58:21: warning: unused variable 'ans' [-Wunused-variable]
   58 |  ll l = 1, r = 1e9, ans = -1;
      |                     ^~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 4444 KB Output is correct
2 Correct 49 ms 4440 KB Output is correct
3 Correct 50 ms 4444 KB Output is correct
4 Correct 7 ms 4444 KB Output is correct
5 Correct 7 ms 4552 KB Output is correct
6 Correct 7 ms 4544 KB Output is correct
7 Correct 8 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 7 ms 4444 KB Output is correct
10 Correct 7 ms 4440 KB Output is correct
11 Correct 7 ms 4444 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 9 ms 4444 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4544 KB Output is correct
2 Correct 8 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 7 ms 4444 KB Output is correct
5 Correct 7 ms 4440 KB Output is correct
6 Correct 7 ms 4444 KB Output is correct
7 Correct 1 ms 4440 KB Output is correct
8 Correct 9 ms 4444 KB Output is correct
9 Correct 7 ms 4444 KB Output is correct
10 Correct 7 ms 4444 KB Output is correct
11 Correct 8 ms 4440 KB Output is correct
12 Correct 7 ms 4444 KB Output is correct
13 Correct 8 ms 4440 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 7 ms 4608 KB Output is correct
16 Correct 8 ms 4440 KB Output is correct
17 Correct 7 ms 4596 KB Output is correct
18 Correct 8 ms 4444 KB Output is correct
19 Correct 10 ms 4592 KB Output is correct
20 Correct 9 ms 4644 KB Output is correct
21 Correct 8 ms 4440 KB Output is correct
22 Correct 8 ms 4444 KB Output is correct
23 Correct 9 ms 4444 KB Output is correct
24 Correct 8 ms 4444 KB Output is correct
25 Correct 8 ms 4440 KB Output is correct
26 Correct 1 ms 4444 KB Output is correct
27 Correct 9 ms 4444 KB Output is correct
28 Correct 9 ms 4444 KB Output is correct
29 Correct 8 ms 4444 KB Output is correct
30 Correct 9 ms 4444 KB Output is correct
31 Correct 7 ms 4444 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 9 ms 4444 KB Output is correct
4 Correct 9 ms 4444 KB Output is correct
5 Correct 8 ms 4444 KB Output is correct
6 Correct 9 ms 4444 KB Output is correct
7 Correct 7 ms 4444 KB Output is correct
8 Correct 57 ms 4700 KB Output is correct
9 Correct 133 ms 4704 KB Output is correct
10 Correct 53 ms 4696 KB Output is correct
11 Correct 58 ms 4700 KB Output is correct
12 Correct 58 ms 4536 KB Output is correct
13 Correct 53 ms 4700 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 4444 KB Output is correct
2 Correct 7 ms 4444 KB Output is correct
3 Correct 8 ms 4440 KB Output is correct
4 Correct 7 ms 4444 KB Output is correct
5 Correct 8 ms 4440 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 7 ms 4608 KB Output is correct
8 Correct 8 ms 4440 KB Output is correct
9 Correct 7 ms 4596 KB Output is correct
10 Correct 8 ms 4444 KB Output is correct
11 Correct 10 ms 4592 KB Output is correct
12 Correct 9 ms 4644 KB Output is correct
13 Correct 8 ms 4440 KB Output is correct
14 Correct 8 ms 4444 KB Output is correct
15 Correct 9 ms 4444 KB Output is correct
16 Correct 8 ms 4444 KB Output is correct
17 Correct 57 ms 4700 KB Output is correct
18 Correct 133 ms 4704 KB Output is correct
19 Correct 53 ms 4696 KB Output is correct
20 Correct 58 ms 4700 KB Output is correct
21 Correct 58 ms 4536 KB Output is correct
22 Correct 53 ms 4700 KB Output is correct
23 Correct 8 ms 4440 KB Output is correct
24 Correct 1 ms 4444 KB Output is correct
25 Correct 9 ms 4444 KB Output is correct
26 Correct 9 ms 4444 KB Output is correct
27 Correct 8 ms 4444 KB Output is correct
28 Correct 9 ms 4444 KB Output is correct
29 Correct 7 ms 4444 KB Output is correct
30 Correct 98 ms 4444 KB Output is correct
31 Correct 49 ms 4440 KB Output is correct
32 Correct 50 ms 4444 KB Output is correct
33 Correct 7 ms 4444 KB Output is correct
34 Correct 7 ms 4552 KB Output is correct
35 Correct 7 ms 4544 KB Output is correct
36 Correct 8 ms 4444 KB Output is correct
37 Correct 1 ms 4444 KB Output is correct
38 Correct 7 ms 4444 KB Output is correct
39 Correct 7 ms 4440 KB Output is correct
40 Correct 7 ms 4444 KB Output is correct
41 Correct 1 ms 4440 KB Output is correct
42 Correct 9 ms 4444 KB Output is correct
43 Correct 53 ms 4700 KB Output is correct
44 Correct 54 ms 4700 KB Output is correct
45 Correct 80 ms 4952 KB Output is correct
46 Correct 54 ms 4764 KB Output is correct
47 Correct 59 ms 4780 KB Output is correct
48 Correct 54 ms 4700 KB Output is correct
49 Correct 135 ms 6636 KB Output is correct
50 Correct 1 ms 4444 KB Output is correct
51 Correct 1 ms 4444 KB Output is correct
52 Correct 51 ms 4444 KB Output is correct
53 Correct 55 ms 4700 KB Output is correct
54 Correct 54 ms 4720 KB Output is correct
55 Correct 51 ms 4440 KB Output is correct
56 Correct 51 ms 4564 KB Output is correct
57 Correct 1 ms 4444 KB Output is correct
58 Correct 10 ms 4740 KB Output is correct
59 Correct 10 ms 4700 KB Output is correct
60 Correct 12 ms 4700 KB Output is correct
61 Correct 142 ms 6692 KB Output is correct
62 Correct 139 ms 6676 KB Output is correct
63 Correct 1 ms 4444 KB Output is correct