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Submission #568597

# Submission time Handle Problem Language Result Execution time Memory
568597 2022-05-25T18:50:26 Z inluminas Travelling Merchant (APIO17_merchant) C++17
100 / 100
 111 ms 4196 KB 
#include"bits/stdc++.h"
using namespace std;

#define ll long long
#define endl "\n"
#define fastio ios_base::sync_with_stdio(false)
#define inf LLONG_MAX
#define l first
#define r second

const int lmt=110;
ll b[lmt][1010],s[lmt][1010],dis[lmt][lmt],val[lmt][lmt],n,m,k,mx[lmt][lmt];

bool ok(ll x){
	for(int i=0;i<=n;i++){
		for(int j=0;j<=n;j++){
			val[i][j]=-2e9;
			if(dis[i][j]>=2e9) continue;
			val[i][j]=max(val[i][j],-dis[i][j]*x+mx[i][j]);
		}
	}

	for(int l=1;l<=n;l++){
		for(int j=1;j<=n;j++){
			for(int i=1;i<=n;i++){
				if(dis[i][l]>=2e9 || dis[l][j]>=2e9) continue;
				val[i][j]=max(val[i][j],val[i][l]+val[l][j]);
			}
		}
	}

	for(int i=1;i<=n;i++){
		if(val[i][i]>=0) return true;
	}

	return false;
}

int main(){
	fastio;

	cin>>n>>m>>k;
	for(int i=0;i<=n;i++){
		for(int j=0;j<=n;j++) dis[i][j]=2e9;
	}
	for(int i=1;i<=n;i++){
		for(int j=1;j<=k;j++){
			cin>>b[i][j]>>s[i][j];
		}
	}

	for(int i=1;i<=m;i++){
		ll u,v,w;
		cin>>u>>v>>w;
		dis[u][v]=w;
	}

	for(int l=1;l<=n;l++){
		for(int j=1;j<=n;j++){
			for(int i=1;i<=n;i++){
				dis[i][j]=min(dis[i][j],dis[i][l]+dis[l][j]);
			}
		}
	}

	for(int i=1;i<=n;i++){
		for(int j=1;j<=n;j++){
			if(dis[i][j]==2e9){
				mx[i][j]=-2e9;
				continue;
			}
			for(int l=1;l<=k;l++){
				if(s[j][l]==-1 || b[i][l]==-1) continue;
				mx[i][j]=max(mx[i][j],s[j][l]-b[i][l]);
			}
		}
	}

	ll lo=0,hi=1e9;
	while(hi-lo>1){
		ll mid=(lo+hi)>>1;
		if(ok(mid)) lo=mid;
		else hi=mid;
	}

	if(ok(hi)) cout<<hi<<endl;
	else cout<<lo<<endl;

	return 0;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 75 ms 2076 KB Output is correct
2 Correct 52 ms 1236 KB Output is correct
3 Correct 49 ms 1296 KB Output is correct
4 Correct 7 ms 724 KB Output is correct
5 Correct 7 ms 712 KB Output is correct
6 Correct 7 ms 724 KB Output is correct
7 Correct 9 ms 852 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 7 ms 820 KB Output is correct
10 Correct 7 ms 724 KB Output is correct
11 Correct 8 ms 836 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 8 ms 852 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 724 KB Output is correct
2 Correct 9 ms 852 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 7 ms 820 KB Output is correct
5 Correct 7 ms 724 KB Output is correct
6 Correct 8 ms 836 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 8 ms 852 KB Output is correct
9 Correct 7 ms 888 KB Output is correct
10 Correct 7 ms 852 KB Output is correct
11 Correct 8 ms 848 KB Output is correct
12 Correct 7 ms 916 KB Output is correct
13 Correct 8 ms 852 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 9 ms 888 KB Output is correct
16 Correct 9 ms 848 KB Output is correct
17 Correct 9 ms 852 KB Output is correct
18 Correct 9 ms 928 KB Output is correct
19 Correct 8 ms 852 KB Output is correct
20 Correct 12 ms 976 KB Output is correct
21 Correct 7 ms 852 KB Output is correct
22 Correct 8 ms 908 KB Output is correct
23 Correct 10 ms 980 KB Output is correct
24 Correct 8 ms 852 KB Output is correct
25 Correct 7 ms 852 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 9 ms 852 KB Output is correct
28 Correct 9 ms 924 KB Output is correct
29 Correct 8 ms 852 KB Output is correct
30 Correct 7 ms 864 KB Output is correct
31 Correct 9 ms 868 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 852 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 9 ms 852 KB Output is correct
4 Correct 9 ms 924 KB Output is correct
5 Correct 8 ms 852 KB Output is correct
6 Correct 7 ms 864 KB Output is correct
7 Correct 9 ms 868 KB Output is correct
8 Correct 55 ms 1492 KB Output is correct
9 Correct 96 ms 2072 KB Output is correct
10 Correct 53 ms 1448 KB Output is correct
11 Correct 58 ms 1552 KB Output is correct
12 Correct 55 ms 1552 KB Output is correct
13 Correct 55 ms 1364 KB Output is correct

Subtask #4
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 888 KB Output is correct
2 Correct 7 ms 852 KB Output is correct
3 Correct 8 ms 848 KB Output is correct
4 Correct 7 ms 916 KB Output is correct
5 Correct 8 ms 852 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 9 ms 888 KB Output is correct
8 Correct 9 ms 848 KB Output is correct
9 Correct 9 ms 852 KB Output is correct
10 Correct 9 ms 928 KB Output is correct
11 Correct 8 ms 852 KB Output is correct
12 Correct 12 ms 976 KB Output is correct
13 Correct 7 ms 852 KB Output is correct
14 Correct 8 ms 908 KB Output is correct
15 Correct 10 ms 980 KB Output is correct
16 Correct 8 ms 852 KB Output is correct
17 Correct 55 ms 1492 KB Output is correct
18 Correct 96 ms 2072 KB Output is correct
19 Correct 53 ms 1448 KB Output is correct
20 Correct 58 ms 1552 KB Output is correct
21 Correct 55 ms 1552 KB Output is correct
22 Correct 55 ms 1364 KB Output is correct
23 Correct 7 ms 852 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 9 ms 852 KB Output is correct
26 Correct 9 ms 924 KB Output is correct
27 Correct 8 ms 852 KB Output is correct
28 Correct 7 ms 864 KB Output is correct
29 Correct 9 ms 868 KB Output is correct
30 Correct 75 ms 2076 KB Output is correct
31 Correct 52 ms 1236 KB Output is correct
32 Correct 49 ms 1296 KB Output is correct
33 Correct 7 ms 724 KB Output is correct
34 Correct 7 ms 712 KB Output is correct
35 Correct 7 ms 724 KB Output is correct
36 Correct 9 ms 852 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 7 ms 820 KB Output is correct
39 Correct 7 ms 724 KB Output is correct
40 Correct 8 ms 836 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 8 ms 852 KB Output is correct
43 Correct 50 ms 1424 KB Output is correct
44 Correct 53 ms 1628 KB Output is correct
45 Correct 66 ms 2652 KB Output is correct
46 Correct 59 ms 1620 KB Output is correct
47 Correct 54 ms 1540 KB Output is correct
48 Correct 53 ms 1636 KB Output is correct
49 Correct 101 ms 4100 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 55 ms 1392 KB Output is correct
53 Correct 53 ms 1540 KB Output is correct
54 Correct 55 ms 1492 KB Output is correct
55 Correct 57 ms 1364 KB Output is correct
56 Correct 53 ms 1364 KB Output is correct
57 Correct 0 ms 340 KB Output is correct
58 Correct 9 ms 1064 KB Output is correct
59 Correct 9 ms 980 KB Output is correct
60 Correct 11 ms 1056 KB Output is correct
61 Correct 111 ms 4148 KB Output is correct
62 Correct 106 ms 4196 KB Output is correct
63 Correct 1 ms 340 KB Output is correct