# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
261018 | evpipis | Travelling Merchant (APIO17_merchant) | C++11 | 83 ms | 1532 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int len = 205, max_k = 1005, inf = 1e9+10;
const ll long_inf = 1e18+10;
int n, m, k;
int dis[len][len], prof[len][len], buy[len][max_k], sell[len][max_k];
ll path[len][len];
bool check(int c){
/*
// this is for subtask 1
for (int j = 1; j < n; j++)
if (dis[0][j] != inf && dis[j][0] != inf)
if (prof[0][j] - c*1LL*(dis[0][j]+dis[j][0]) >= 0)
return true;
return false;
*/
/// ------------------------------------------------------------------------
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
path[i][j] = long_inf;
for (int i = 0; i < n; i++)
path[i][i] = 0;
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
if (dis[i][j] != inf)
path[i][j] = c*1LL*dis[i][j] - prof[i][j];
for (int d = 0; d < n; d++)
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
if (path[i][d] != long_inf && path[d][j] != long_inf)
path[i][j] = min(path[i][j], path[i][d]+path[d][j]);
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
if (i != j && path[i][j] != long_inf && path[j][i] != long_inf && path[i][j]+path[j][i] <= 0)
return true;
return false;
/// ------------------------------------------------------------------------
// initialize path
for (int i = 0; i < 2*n; i++)
for (int j = 0; j < 2*n; j++)
path[i][j] = long_inf; // here it is more than 1e18
for (int i = 0; i < 2*n; i++)
path[i][i] = 0;
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
if (i != j && dis[i][j] != inf)
path[2*i][2*j+1] = c*1LL*dis[i][j] - prof[i][j];
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
if (dis[i][j] != inf)
path[2*i+1][2*j] = c*1LL*dis[i][j];
// compute path
for (int d = 0; d < 2*n; d++)
for (int i = 0; i < 2*n; i++)
for (int j = 0; j < 2*n; j++)
if (dis[i][d] != long_inf && dis[d][j] != long_inf)
path[i][j] = min(path[i][j], path[i][d]+path[d][j]);
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
if (i != j && path[2*i][2*j+1]+path[2*j+1][2*i] <= 0)
return true;
return false;
}
int bs(){
int l = 1, r = 1e9, ans = 0;
while (l <= r){
int mid = (l+r)/2;
if (check(mid))
ans = mid, l = mid+1;
else
r = mid-1;
}
return ans;
}
int main(){
scanf("%d %d %d", &n, &m, &k);
for (int i = 0; i < n; i++)
for (int j = 0; j < k; j++)
scanf("%d %d", &buy[i][j], &sell[i][j]);
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
dis[i][j] = inf; // here inf = 1e9+(something)
for (int i = 0; i < n; i++)
dis[i][i] = 0;
for (int i = 0; i < m; i++){
int a, b, c;
scanf("%d %d %d", &a, &b, &c);
dis[a-1][b-1] = c;
}
// fix dis, prof...
for (int d = 0; d < n; d++)
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
dis[i][j] = min(dis[i][j], dis[i][d]+dis[d][j]);
for (int a = 0; a < n; a++)
for (int b = 0; b < n; b++)
for (int d = 0; d < k; d++)
if (buy[a][d] != -1 && sell[b][d] != -1)
prof[a][b] = max(prof[a][b], sell[b][d]-buy[a][d]);
printf("%d\n", bs());
return 0;
}
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