1003: [ZJOI2006] Logistics and transportationTime Limit:10 Sec Memory limit:162 MB submit:6284 solved:2588 [submit][status][discuss]
Description
The logistics company is going to ship a batch of cargo from Wharf A to Pier B. Due to the large volume of goods, it takes n days to complete the shipment. The transport of goods in general to be transferred
Stop at several docks. Logistics companies typically design a fixed transport route to carry out strict management and tracking of the entire transport process. Due to various
Factors exist, sometimes a pier will not be able to load and unload goods. At this time, the transport route must be modified to allow the goods to arrive at their destination. But
Modifying the route is a very troublesome thing, and will bring additional costs. So logistics companies want to be able to order an N-day transport plan, making the total cost
As small as you can. Input
The first line is four integers n (1<=n<=100), M (1<=m<=20), K, and E. n indicates the number of days to transport the goods, m indicates the total number of ports, K indicates
Cost per modification of the shipping route. The next line of e lines is a description of the route, including three integers, which in turn represent the two terminals of the route connection
Route Length (>0). Pier A is numbered 1 and Pier B is M. The transportation cost per unit length is 1. The route is bidirectional. And Next
A row is an integer d, followed by a row of D for each row is three integers P (1 < P < m), A, B (1< = a < = b < = n). A code that is numbered p
The head from day A to day B can not load and unload goods (including tail). The same dock may not be available for multiple time periods. But at any time there is at least one
The transportation route from Pier A to Pier B. Output
The
includes an integer representing the minimum total cost. Total cost =n days the sum of the length of the transportation route +k* Change the number of shipping routes. Sample Input 5 5 8
1 2 1
1 3 3
1 4 2
2 3 2
2 4 4
3 4 1
3 5 2
4 5 2
4
2 2 3
3 1 1
3 3 3
4 4 5
Sample Output
//First three days Go 1-4-5, after two days walk 1-3-5, so the total cost is (+) *3+ (3+2) *2+10=32 : Find the shortest possible short circuit and then DP on it
#include <cstdio> #include <cstring> #include <queue> using namespace std;
const int m=1005;
const int n=105;
int n,m,k,d[n],t[n][n],f[n];
BOOL Flag[n][n],inq[n],xie[n];
int to[m],nxt[m],lj[n],w[m],cnt;
void Add (int f,int t,int p) {cnt++;
to[cnt]=t;
NXT[CNT]=LJ[F];
lj[f]=cnt;
W[cnt]=p;
} queue<int>q; int SPFA (int s,int t) {while (!
Q.empty ()) Q.pop ();
for (int i=0;i<=21;i++) d[i]=100000;
memset (Xie,0,sizeof (Xie));
memset (inq,0,sizeof (INQ));
for (int i=s;i<=t;i++) for (int j=1;j<=m;j++) if (flag[i][j]) xie[j]=1;
Inq[1]=1;
d[1]=0;
Q.push (1); while (!
Q.empty ()) {int X=q.front ();
Q.pop ();
for (int i=lj[x];i;i=nxt[i]) if (!xie[to[i]]&&d[to[i]]>d[x]+w[i]) {d[to[i]]=d[x]+w[i];
if (!inq[to[i]]) {Q.push (to[i]);
Inq[to[i]]=1;
}} inq[x]=0;
} return d[m];
} int main () {int q,x,y,z,d;
scanf ("%d%d%d%d", &n,&m,&k,&q);
for (int i=1;i<=q;i++) {scanf ("%d%d%d", &x,&y,&z); Add(x, y, z);
Add (y,x,z);
} scanf ("%d", &d);
for (int i=1;i<=d;i++) {scanf ("%d%d%d", &x,&y,&z);
for (int j=y;j<=z;j++) flag[j][x]=1;
} for (int i=1;i<=n;i++) for (int j=1;j<=n;j++) T[I][J]=SPFA (I,J);
for (int i=1;i<=n;i++) {f[i]=t[1][i]*i;
for (int j=0;j<i;j++) f[i]=min (f[i],f[j]+k+t[j+1][i]* (i-j));
} printf ("%d\n", F[n]);
}