P3369 【模板】普通平衡树

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#include<bits/stdc++.h>
using namespace std;
const int MAXn = 1e5;
const int INF = 0x3f3f3f3f;

template <typename T>
inline void read(T &a) {
char c;for (c = getchar(); (c < '0' || c > '9') && c != '-'; c = getchar());bool f = c == '-';T x = f ? 0 : (c ^ '0');for (c = getchar(); c >= '0' && c <= '9'; c = getchar()) {x = x * 10 + (c ^ '0');}a = f ? -x : x;
}
template <typename T, typename ...Argv>
inline void read(T &a, Argv &...argv) {
read(a), read(argv...);
}

int cntnd, son[MAXn + 10][2], siz[MAXn + 10], num[MAXn + 10], val[MAXn + 10], rd[MAXn + 10];
inline void pushup(int cur) {
siz[cur] = siz[son[cur][0]] + siz[son[cur][1]] + num[cur];
}
inline void rotate(int &cur, int side) {
int y = son[cur][side ^ 1];
int z = son[y][side];
son[cur][side ^ 1] = z;
son[y][side] = cur;
pushup(cur);
pushup(y);
cur = y;
}
inline void Insert(int &cur, int v) {
if (!cur) {
cur = ++cntnd;
siz[cur] = num[cur] = 1;
val[cur] = v;
rd[cur] = rand();
} else if (v == val[cur]) {
++siz[cur]; ++num[cur];
} else {
int side = (v > val[cur]);
Insert(son[cur][side], v);
if (rd[son[cur][side]] > rd[cur]) {
rotate(cur, side ^ 1);
} else {
++siz[cur];
}
}
}
inline void Delete(int &cur, int v) {
if (!cur) {
;
} else if (v == val[cur]) {
if (num[cur] > 2) {
--num[cur];
} else if (!son[cur][0] && !son[cur][1]) {
--num[cur]; --siz[cur];
if (!siz[cur]) cur = 0;
return;
} else if (son[cur][0] && !son[cur][1]) {
rotate(cur, 1);
Delete(son[cur][1], v);
} else if (!son[cur][0] && son[cur][1]) {
rotate(cur, 0);
Delete(son[cur][0], v);
} else {
int side = (rd[son[cur][0]] < rd[son[cur][1]]);
rotate(cur, side ^ 1);
Delete(son[cur][side ^ 1], v);
}
--siz[cur];
} else {
int side = (v > val[cur]);
Delete(son[cur][side], v);
pushup(cur);
}
}
inline int valtorank(int cur, int v) {
if (!cur) return 0;
if (v < val[cur]) {
return valtorank(son[cur][0], v);
} else if (v > val[cur]) {
return siz[son[cur][0]] + num[cur] + valtorank(son[cur][1], v);
} else {
return siz[son[cur][0]];
}
}
inline int ValtoRank(int cur, int v) {
return valtorank(cur, v) + 1;
}
inline int RanktoVal(int cur, int rank) {
if (!cur) return -INF;
if (rank >= siz[son[cur][0]] + 1 && rank <= siz[son[cur][0]] + num[cur]) {
return val[cur];
} else if (rank <= siz[son[cur][0]]) {
return RanktoVal(son[cur][0], rank);
} else {
return RanktoVal(son[cur][1], rank - (siz[son[cur][0]] + num[cur]));
}
}
inline int Pre(int cur, int v) {
if (!cur) return -INF;
if (val[cur] >= v) {
return Pre(son[cur][0], v);
} else {
return max(val[cur], Pre(son[cur][1], v));
}
}
inline int Nex(int cur, int v) {
if (!cur) return INF;
if (val[cur] <= v) {
return Nex(son[cur][1], v);
} else {
return min(val[cur], Nex(son[cur][0], v));
}
}

int n, root;
signed main() {
read(n);
for (int i = 1, opt, x; i <= n; ++i) {
read(opt, x);
if (opt == 1) Insert(root, x);
else if (opt == 2) Delete(root, x);
else if (opt == 3) printf("%d\n", ValtoRank(root, x));
else if (opt == 4) printf("%d\n", RanktoVal(root, x));
else if (opt == 5) printf("%d\n", Pre(root, x));
else if (opt == 6) printf("%d\n", Nex(root, x));
}
return 0;
}