【HDU - 1102】Constructing Roads (最小生成树裸题模板)
題干:
There are N villages, which are numbered from 1 to N, and you should build some roads such that every two villages can connect to each other. We say two village A and B are connected, if and only if there is a road between A and B, or there exists a village C such that there is a road between A and C, and C and B are connected.?
We know that there are already some roads between some villages and your job is the build some roads such that all the villages are connect and the length of all the roads built is minimum.?
Input
The first line is an integer N (3 <= N <= 100), which is the number of villages. Then come N lines, the i-th of which contains N integers, and the j-th of these N integers is the distance (the distance should be an integer within [1, 1000]) between village i and village j.?
Then there is an integer Q (0 <= Q <= N * (N + 1) / 2). Then come Q lines, each line contains two integers a and b (1 <= a < b <= N), which means the road between village a and village b has been built.?
Output
You should output a line contains an integer, which is the length of all the roads to be built such that all the villages are connected, and this value is minimum.?
Sample Input
3 0 990 692 990 0 179 692 179 0 1 1 2Sample Output
179題目大意:
? 大概意思就是給你一個圖,然后告訴你每兩個點之間的距離,然后給你一個q,下面q行,每行兩個數代表這兩個點是連通的,問你為了讓整個圖是個連通圖,最短還需要修多長的路。
解題報告:
? 最小生成樹裸題,,復習一下,,不解釋了、、最后就是,加不加那個cnt計數對這道題都無所謂,因為數據量太小了,都是31ms。下面兩個代碼都貼上。
AC代碼:(加cnt計數)
#include<cstdio> #include<iostream> #include<algorithm> #include<queue> #include<map> #include<vector> #include<set> #include<string> #include<cmath> #include<cstring> #define ll long long #define pb push_back #define pm make_pair #define fi first #define se second using namespace std; const int MAX = 2e5 + 5; int n,tot; int f[205]; struct Edge {int u,v;int w;Edge(){}Edge(int u,int v,int w):u(u),v(v),w(w){} } e[MAX<<1]; bool cmp(Edge a,Edge b) {return a.w < b.w; } int getf(int v) {return f[v] == v ? v : f[v] = getf(f[v]); } void merge(int u,int v) {int t1 = getf(u);int t2 = getf(v);if(t1!=t2) f[t2]=t1; } int main() {while(~scanf("%d",&n)) {tot=0;for(int i = 1; i<=n; i++) f[i] = i;for(int i = 1,w; i<=n; i++) {for(int j = 1; j<=n; j++) {scanf("%d",&w);if(i==j) continue;e[++tot] = Edge(i,j,w);e[++tot] = Edge(j,i,w);}} int q,cnt = 0;scanf("%d",&q);while(q--) {int u,v;scanf("%d%d",&u,&v);if(getf(u)!=getf(v)) merge(u,v),cnt++;}sort(e+1,e+tot+1,cmp);ll ans = 0;for(int i = 1; i<=tot; i++) {int u = e[i].u,v = e[i].v;if(getf(u) == getf(v)) continue;merge(u,v);cnt++;ans += 1LL * e[i].w;if(cnt == n-1) break;}printf("%lld\n",ans);}return 0 ;}AC代碼2:(不加cnt計數)
//不帶cnt計數 版本 #include<cstdio> #include<iostream> #include<algorithm> #include<queue> #include<map> #include<vector> #include<set> #include<string> #include<cmath> #include<cstring> #define ll long long #define pb push_back #define pm make_pair #define fi first #define se second using namespace std; const int MAX = 2e5 + 5; int n,tot; int f[205]; struct Edge {int u,v;int w;Edge(){}Edge(int u,int v,int w):u(u),v(v),w(w){} } e[MAX<<1]; bool cmp(Edge a,Edge b) {return a.w < b.w; } int getf(int v) {return f[v] == v ? v : f[v] = getf(f[v]); } void merge(int u,int v) {int t1 = getf(u);int t2 = getf(v);if(t1!=t2) f[t2]=t1; } int main() {while(~scanf("%d",&n)) {tot=0;for(int i = 1; i<=n; i++) f[i] = i;for(int i = 1,w; i<=n; i++) {for(int j = 1; j<=n; j++) {scanf("%d",&w);if(i==j) continue;e[++tot] = Edge(i,j,w);e[++tot] = Edge(j,i,w);}} int q;scanf("%d",&q);while(q--) {int u,v;scanf("%d%d",&u,&v);merge(u,v);}sort(e+1,e+tot+1,cmp);ll ans = 0;for(int i = 1; i<=tot; i++) {int u = e[i].u,v = e[i].v;if(getf(u) == getf(v)) continue;merge(u,v);ans += 1LL * e[i].w;}printf("%lld\n",ans);}return 0 ;}?
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