1 //以一号节点为根节点,求出所有节点到根结点的距离,以及所有点的子节点的个数 2 //然后计算根据已知信息计算所有节点到当前结点的距离 3 //然后扫描n个点,O(n)求解 4 #include5 using namespace std; 6 const int maxn = 50086; 7 struct node { 8 int y, net; 9 }e[maxn << 1];10 int f[maxn], h[maxn];//h表示以当前节点的根结点的子节点的个数,f表示所有子节点到当前节点的距离和 11 int n;12 int lin[maxn], len = 0;13 int id;14 15 inline int read() {16 int x = 0, y = 1;17 char ch = getchar();18 while(!isdigit(ch)) {19 if(ch == '-') y = -1;20 ch = getchar();21 }22 while(isdigit(ch)) {23 x = (x << 1) + (x << 3) + ch - '0';24 ch = getchar();25 }26 return x * y;27 }28 29 inline void insert(int xx, int yy) {30 e[++len].y = yy;31 e[len].net = lin[xx];32 lin[xx] = len;33 }34 35 int son_num(int x, int fa) {36 for(int i = lin[x]; i; i = e[i].net) {37 int to = e[i].y;38 if(to != fa) h[x] += son_num(to, x) + 1;39 } 40 return h[x];41 }42 43 void everyson_to_one_dis(int x, int fa, int z) {44 f[1] += z;45 for(int i = lin[x]; i; i = e[i].net) {46 int to = e[i].y;47 if(to != fa) everyson_to_one_dis(to, x, z + 1);48 } 49 }50 51 void everyone_to_x_dis(int x, int fa) {52 f[x] = f[fa] - (h[x] + 1) + (n - h[x] - 1);53 for(int i = lin[x]; i; i = e[i].net) {54 int to = e[i].y;55 if(to != fa) everyone_to_x_dis(to, x);56 }57 }58 59 int main() {60 memset(lin, 0, sizeof(lin));61 n = read();62 for(int i = 1; i < n; ++i) {63 int x, y;64 x = read(), y = read();65 insert(x, y);66 insert(y, x);67 }68 son_num(1, 0);69 for(int i = lin[1]; i; i = e[i].net) 70 everyson_to_one_dis(e[i].y, 1, 1);71 for(int i = lin[1]; i; i = e[i].net)72 everyone_to_x_dis(e[i].y, 1);73 id = 1;74 for(int i = 2; i <= n; ++i)75 if(f[id] > f[i]) id = i;76 cout << id << ' ' << f[id] << '\n';77 return 0;78 }