【最小生成树】Jungle Roads POJ - 1251
Jungle Roads POJ - 1251
题意:
给定若干条村庄之间的道路及其维护费用,问可以保证各村庄之间连通的最低维护费用。
思路:
直接套最小生成树的板子。
int fa[maxn];
int r[maxn];
int x[maxn], y[maxn], w[maxn];
int num;
int find(int x) { return fa[x] == x ? x : fa[x] = find(fa[x]); }
bool cmp(int i, int j) { return w[i] < w[j]; };
char alpha[] = { "0ABCDEFGHIJKLMNOPQRSTUVWXYZ" };
int solve() {
int ans = 0;
for (int i = 0; i < maxn; i++) fa[i] = i;
for (int i = 0; i < num; i++) r[i] = i;
sort(r, r + num, cmp);
for (int i = 0; i < num; i++) {
int e = r[i];
int u = find(x[e]);
int v = find(y[e]);
if (u != v) {
ans += w[e];
fa[u] = v;
}
}
return ans;
}
int main()
{
//ios::sync_with_stdio(false);
int n;
map<char, int> mp;
for (int i = 1; i <= 26; i++) mp[alpha[i]] = i;
while (cin >> n && n) {
num = 0;
for (int i = 1; i <= n - 1; i++) {
char ch1, ch2; int k,weight; cin >> ch1 >> k;
while (k--) {
x[num] = mp[ch1];
cin >> ch2 >> weight;
y[num] = mp[ch2];
w[num] = weight;
num++;
}
}
cout << solve() << endl;
}
return 0;
}