zoj 2112 Dynamic Rankings

时间:2023-03-09 08:44:04
zoj 2112 Dynamic Rankings

原题链接:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemId=1112

 #include<cstdio>
#include<cstdlib>
#include<cstring>
#include<algorithm>
#define lc root<<1
#define rc root<<1|1
#define INF 0x3f3f3f3f
const int Max_N = ;
struct SBT{
int key, size, cnt;
SBT *ch[];
inline void push_up(){
size = ch[]->size + ch[]->size + cnt;
}
int cmp(int v) const{
if (v == key) return -;
return v > key;
}
}*null, stack[Max_N * ], *ptr[Max_N << ];
int sz = , sum = , arr[Max_N];
void init(){
null = &stack[sz++];
null->key = null->size = null->cnt = ;
}
void rotate(SBT* &x, int d){
SBT *k = x->ch[!d];
x->ch[!d] = k->ch[d];
k->ch[d] = x;
k->size = x->size;
x->push_up();
x = k;
}
void Maintain(SBT* &x, int d){
if (x->ch[d] == null) return;
if (x->ch[d]->ch[d]->size > x->ch[!d]->size){
rotate(x, !d);
} else if (x->ch[d]->ch[!d]->size > x->ch[!d]->size){
rotate(x->ch[d], d), rotate(x, !d);
} else {
return;
}
Maintain(x, ), Maintain(x, );
}
void insert(SBT* &x, int key){
if (x == null){
x = &stack[sz++];
x->ch[] = x->ch[] = null;
x->key = key, x->size = x->cnt = ;
} else {
int d = x->cmp(key);
x->size++;
if (- == d){
x->cnt++;
return;
}
insert(x->ch[d], key);
x->push_up();
Maintain(x, d);
}
}
void del(SBT* &x, int key){
if (x == null) return;
int d = x->cmp(key);
x->size--;
if (- == d){
if (x->cnt > ){
x->cnt--;
} else if (x->ch[] == null || x->ch[] == null){
x = x->ch[] != null ? x->ch[] : x->ch[];
} else {
SBT *ret = x->ch[];
for (; ret->ch[] != null; ret = ret->ch[]);
del(x->ch[], x->key = ret->key);
}
} else {
del(x->ch[d], key);
}
if (x != null) x->push_up();
}
int sbt_rank(SBT *x, int key){
int t, cur;
for (t = cur = ; x != null;){
t = x->ch[]->size;
if (key < x->key) x = x->ch[];
else if (key >= x->key) cur += x->cnt + t, x = x->ch[];
}
return cur;
}
void seg_built(int root, int l, int r){
for (int i = l; i <= r; i++) insert(ptr[root], arr[i]);
if (l == r) return;
int mid = (l + r) >> ;
seg_built(lc, l, mid);
seg_built(rc, mid + , r);
}
void seg_query(int root, int l, int r, int x, int y, int val){
if (x > r || y < l) return;
if (x <= l && y >= r){
sum += sbt_rank(ptr[root], val);
return;
}
int mid = (l + r) >> ;
seg_query(lc, l, mid, x, y, val);
seg_query(rc, mid + , r, x, y, val);
}
void seg_del(int root, int l, int r, int pos, int val){
if (pos > r || pos < l) return;
del(ptr[root], val);
if (l == r) return;
int mid = (l + r) >> ;
seg_del(lc, l, mid, pos, val);
seg_del(rc, mid + , r, pos, val);
}
void seg_insert(int root, int l, int r, int pos, int val) {
if (pos > r || pos < l) return;
insert(ptr[root], val);
if (l == r) return;
int mid = (l + r) >> ;
seg_insert(lc, l, mid, pos, val);
seg_insert(rc, mid + , r, pos, val);
}
void gogo(int n, int a, int b, int k){
int l = , r = INF;
while (l < r){
sum = ;
int mid = (l + r) >> ;
seg_query(, , n, a, b, mid);
if (sum < k) l = mid + ;
else r = mid;
}
printf("%d\n", l);
}
int main(){
#ifdef LOCAL
freopen("in.txt", "r", stdin);
freopen("out.txt", "w+", stdout);
#endif
char ch;
int t, n, m, a, b, k;
scanf("%d", &t);
while (t--){
sz = , init();
scanf("%d %d", &n, &m);
for (int i = ; i <= n; i++) scanf("%d", &arr[i]);
std::fill(ptr, ptr + (n << ), null);
seg_built(, , n);
while (m--){
getchar();
scanf("%c", &ch);
if (ch == 'Q'){
scanf("%d %d %d", &a, &b, &k);
gogo(n, a, b, k);
} else {
scanf("%d %d", &a, &b);
seg_del(, , n, a, arr[a]);
seg_insert(, , n, a, arr[a] = b);
}
}
}
return ;
}