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- //Nguyen Huu Hoang Minh
- #include <bits/stdc++.h>
- #define sz(x) int(x.size())
- #define all(x) x.begin(),x.end()
- #define reset(x) memset(x, 0,sizeof(x))
- #define pb push_back
- #define mp make_pair
- #define fi first
- #define se second
- #define N 105
- #define remain(x) if (x > MOD) x -= MOD
- #define ii pair<int, int>
- #define iiii pair< ii , ii >
- #define viiii vector< iiii >
- #define vi vector<int>
- #define vii vector< ii >
- #define bit(x, i) (((x) >> (i)) & 1)
- #define Task "test"
- #define int long long
- using namespace std;
- typedef long double ld;
- const int inf = 1e10;
- const int minf = -1e10;
- struct dat
- {
- int u, v, w;
- };
- int n, m;
- int a[N][N];
- int node[5];
- int d[N][N];
- void readfile()
- {
- ios_base::sync_with_stdio(false);
- cin.tie(0);cout.tie(0);
- if (fopen(Task".inp","r"))
- {
- freopen(Task".inp","r",stdin);
- //freopen(Task".out","w",stdout);
- }
- cin >> n;
- for(int i=1; i<=4; i++) cin >> node[i];
- int u,v,z;
- for(int i=1; i<=n; i++)
- for(int j=1; j<=n; j++) d[i][j] = inf;
- for(int i=1; i<=n; i++) d[i][i] = 0;
- while (cin >> u >> v >> z)
- {
- d[u][v] = d[v][u] = z;
- }
- }
- void floyd()
- {
- for(int k=1; k<=n; k++)
- {
- for(int i=1; i<=n; i++)
- {
- for(int j=1; j<=n; j++)
- {
- if (d[i][j] > d[i][k] + d[k][j])
- d[i][j] = d[i][k] + d[k][j];
- }
- }
- }
- }
- void proc()
- {
- floyd();
- sort(node+1,node+5);
- int pre[25][5];
- pre[1][1] = node[1];
- pre[1][2] = node[2];
- pre[1][3] = node[3];
- pre[1][4] = node[4];
- int cur = 1;
- while (next_permutation(node+1,node+5))
- {
- cur++;
- for(int i=1; i<=4; i++) pre[cur][i] = node[i];
- }
- int res = inf;
- for(int i=1; i<=n; i++)
- {
- for(int j=1; j<=n; j++)
- {
- for(int k=1; k<=24; k++)
- {
- int x = d[i][j];
- x += d[i][pre[k][1]];
- x += d[i][pre[k][2]];
- x += d[j][pre[k][3]];
- x += d[j][pre[k][4]];
- res = min(res,x);
- }
- }
- }
- cout << res;
- }
- signed main()
- {
- readfile();
- proc();
- return 0;
- }
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