题意：初始时给出一个图，每个点有一个权值,三种操作：（1）删除某个边；（2）修改每个点的权值；（3）询问与节点x在一个连通分量中所有点的第K大的权值。
析：首先是要先离线，然后再倒着做，第一个操作就成了加边操作，很容易实现，第二操作，就是分成两个操作，先把x结点删掉，然后再插入一个新结点，
最后一个是就是求某个连通分量的第 k 大，直接用treap直接查找就好，注意问是第 k 大，不是第 k 小。
代码如下：
#pragma comment(linker, "/STACK:1024000000,1024000000")
#include <cstdio>
#include <string>
#include <cstdlib>
#include <cmath>
#include <iostream>
#include <cstring>
#include <set>
#include <queue>
#include <algorithm>
#include <vector>
#include <map>
#include <cctype>
#include <cmath>
#include <stack>
#include <sstream>
#define debug() puts("++++");
#define gcd(a, b) __gcd(a, b)
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
#define freopenr freopen("in.txt", "r", stdin)
#define freopenw freopen("out.txt", "w", stdout)
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;
typedef pair<int, int> P;
const int INF = 0x3f3f3f3f;
const LL LNF = 1e16;
const double inf = 0x3f3f3f3f3f3f;
const double PI = acos(-1.0);
const double eps = 1e-8;
const int maxn = 5e5 + 10;
const int mod = 1e9 + 7;
const int dr[] = {-1, 0, 1, 0};
const int dc[] = {0, 1, 0, -1};
const char *de[] = {"0000", "0001", "0010", "0011", "0100", "0101", "0110", "0111", "1000", "1001", "1010", "1011", "1100", "1101", "1110", "1111"};
int n, m;
const int mon[] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
const int monn[] = {0, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
inline bool is_in(int r, int c){
return r >= 0 && r < n && c >= 0 && c < m;
}
int w[maxn], a[maxn], b[maxn];
bool removed[maxn];
LL cnt, tot;
struct Command{
char type;
int x, p;
};
Command com[maxn];
int p[maxn];
int Find(int x){ return x == p[x] ? x : p[x] = Find(p[x]); }
struct Node{
Node *ch[2];
int r, v, s;
Node(int v) : v(v){ ch[0] = ch[1] = nullptr; r = rand(); s = 1; }
bool operator < (const Node &p) const{
return r < p.r;
}
int cmp(int x) const{
if(x == v) return -1;
return x < v ? 0 : 1;
}
void maintain(){
s = 1;
if(ch[0] != nullptr) s += ch[0]->s;
if(ch[1] != nullptr) s += ch[1]->s;
}
};
void Rotate(Node* &o, int d){
Node *k = o->ch[d^1]; o->ch[d^1] = k->ch[d]; k->ch[d] = o;
o->maintain(); k->maintain(); o = k;
}
void Insert(Node* &o, int x){
if(o == nullptr) o = new Node(x);
else{
int d = (x < o->v ? 0 : 1);
Insert(o->ch[d], x);
if(o->ch[d]->r > o->r) Rotate(o, d^1);
}
o->maintain();
}
void Remove(Node* &o, int x){
int d = o->cmp(x);
if(d == -1){
Node* u = o;
if(o->ch[0] != nullptr && o->ch[1] != nullptr){
int d2 = (o->ch[0]->r > o->ch[1]->r ? 1 : 0);
Rotate(o, d2); Remove(o->ch[d2], x);
}
else{
if(o->ch[0] == nullptr) o = o->ch[1];
else o = o->ch[0];
delete u;
}
}
else Remove(o->ch[d], x);
if(o != nullptr) o->maintain();
}
Node* root[maxn];
void removeTree(Node* &o){
if(o->ch[0] != nullptr) removeTree(o->ch[0]);
if(o->ch[1] != nullptr) removeTree(o->ch[1]);
delete o;
o = nullptr;
}
void Merge(Node* &src, Node* &des){
if(src->ch[0] != nullptr) Merge(src->ch[0], des);
if(src->ch[1] != nullptr) Merge(src->ch[1], des);
Insert(des, src->v);
delete src;
src = nullptr;
}
void add(int i){
int x = Find(a[i]);
int y = Find(b[i]);
if(x != y){
if(root[x]->s > root[y]->s){ p[y] = x; Merge(root[y], root[x]); }
else{ p[x] = y; Merge(root[x], root[y]); }
}
}
int kTh(Node* &o, int k){
if(o == nullptr || k <= 0 || k > o->s) return 0;
int s = (o->ch[1] == nullptr ? 0 : o->ch[1]->s);
if(s + 1 == k) return o->v;
if(k <= s) return kTh(o->ch[1], k);
return kTh(o->ch[0], k - s - 1);
}
void change(int i, int v){
int x = Find(i);
Remove(root[x], w[i]);
Insert(root[x], v);
w[i] = v;
}
void query(int x, int k){
++cnt; x = Find(x);
tot += kTh(root[x], k);
}
int main(){
srand(233333);
int kase = 0;
while(scanf("%d %d", &n, &m) == 2 && m+n){
for(int i = 1; i <= n; ++i) scanf("%d", w+i);
for(int i = 1; i <= m; ++i) scanf("%d %d", a+i, b+i);
memset(removed, 0, sizeof removed);
int c = 0;
while(1){
int x, p = 0, v = 0;
char type;
scanf(" %c", &type);
if(type == 'E') break;
scanf("%d", &x);
if(type == 'D') removed[x] = 1;
else if(type == 'Q') scanf("%d", &p);
else {
scanf("%d", &v);
p = w[x]; w[x] = v;
}
com[c++] = (Command){type, x, p};
}
for(int i = 1; i <= n; ++i){
p[i] = i;
root[i] = new Node(w[i]);
}
for(int i = 1; i <= m; ++i) if(!removed[i]) add(i);
cnt = tot = 0;
for(int i = c-1; i >= 0; --i){
if(com[i].type == 'D') add(com[i].x);
else if(com[i].type == 'C') change(com[i].x, com[i].p);
else query(com[i].x, com[i].p);
}
printf("Case %d: %f\n", ++kase, cnt == 0 ? 0 : (double)tot / cnt);
for(int i = 1; i <= n; ++i) if(root[i] != nullptr) removeTree(root[i]);
}
return 0;
}