Title Link: http://acm.timus.ru/problem.aspx?space=1&num=1982
Some Country has
NCities. The government have decided to electrify all these cities. At first, power stations in
kDifferent cities were built. The other cities should is connected with the power stations via power lines. For any cities
I,
JIt's possible to build a power line between them in
C
IJRoubles. The country is in crisis after a civil war and so the government decided to build has only a few power lines. Of course from every city there must is a path along the lines to some city with a power station. Find the minimum possible cost-to-build all necessary power lines. Inputthe First line contains integers
Nand
k(1≤
k≤
N≤100). The second line contains
kDifferent integers that is the numbers of the cities with power stations. The next
NLines contain an
NX
NTable of integers {
C
IJ} (0≤
C
IJ≤105). It's Guaranteed that
c
ij =
c
ji ,
C
IJ> 0 for
I≠
J,
C
II= 0.OutputOutput the minimum cost to electrify all the cities. Sample
input |
Output |
4 21 40 2 4 32 0 5 24 5 0 13 2 1 0 |
3
|
Test instructions
Give some cities built with power stations, and ask for the minimum cost of electricity for each city;
The code is as follows:
#include <cstdio> #include <cstring> #include <algorithm>using namespace std;const int maxn = 10017;int Father[maxn];int n;int flag;struct node{int x, y; int C;} Cc[maxn];int find (int x) {return x==father[x]? X:father[x]=find (Father[x]);} void Init () {for (int i = 1; I <= n; i++) {father[i] = i; }}void Union (int x, int y) {flag = 0; int f1 = find (x); int F2 = find (y); if (f1! = F2) {flag = 1; FATHER[F2] = F1; }}bool CMP (Node A, Node B) {return A.C < B.C;} int main () {int k; while (~SCANF ("%d%d", &n,&k)) {init (); int m; for (int i = 1; I <= K; i++) {scanf ("%d", &m); FATHER[M] =-1; } int l = 0; int cost; for (int i = 1; I <= n; i++) {for (int j = 1; J <= N; j + +) {scanf ("%d", & Amp;cost); cc[l].x = i, cc[l].y = j; CC[L].C = Cost; l++; }} int num = n*n; Sort (cc,cc+num,cmp); int ans = 0; for (int i = 1; I <= num; i++) {Union (cc[i].x, CC[I].Y); if (flag) ans+=cc[i].c; } printf ("%d\n", ans); } return 0;}
URAL 1982. Electrification Plan (and collection)