[BZOJ3173][Tjoi2013]最长上升子序列

#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <stack>
#include <vector>
#include <queue>
#include <cstring>
#include <string>
#include <map>
#include <set>
using namespace std;

int read() {
    int x = 0, f = 1; char c = getchar();
    while(!isdigit(c)){ if(c == ‘-‘) f = -1; c = getchar(); }
    while(isdigit(c)){ x = x * 10 + c - ‘0‘; c = getchar(); }
    return x * f;
}

#define maxn 100010
struct Node {
	int r, val, mx, siz;
	Node() {}
	Node(int _, int __): r(_), val(__) {}
} ns[maxn];
int rt, ToT, fa[maxn], ch[2][maxn];
void maintain(int o) {
	ns[o].mx = ns[o].val; ns[o].siz = 1;
	for(int i = 0; i < 2; i++) if(ch[i][o])
		ns[o].mx = max(ns[o].mx, ns[ch[i][o]].mx),
		ns[o].siz += ns[ch[i][o]].siz;
	return ;
}
void rotate(int u) {
	int y = fa[u], z = fa[y], l = 0, r = 1;
	if(z) ch[ch[1][z]==y][z] = u;
	if(ch[1][y] == u) swap(l, r);
	fa[u] = z; fa[y] = u; fa[ch[r][u]] = y;
	ch[l][y] = ch[r][u]; ch[r][u] = y;
	maintain(y); maintain(u);
	return ;
}
void insert(int& o, int k, int val) {
	if(!o) {
		ns[o = ++ToT] = Node(rand(), val);
		return maintain(o);
	}
	int ls = ch[0][o] ? ns[ch[0][o]].siz : 0;
	bool d = (k >= ls + 1);
	insert(ch[d][o], k - (ls + 1) * d, val); fa[ch[d][o]] = o;
	if(ns[ch[d][o]].r > ns[o].r) {
		int t = ch[d][o];
		rotate(t); o = t;
	}
	return maintain(o);
}
int Find(int o, int k) {
	if(!o) return 0;
	int lm = ch[0][o] ? ns[ch[0][o]].mx : 0, ls = ch[0][o] ? ns[ch[0][o]].siz : 0;
	if(k >= ls + 1) return max(max(lm, ns[o].val), Find(ch[1][o], k - ls - 1));
	return Find(ch[0][o], k);
}

int main() {
	int n = read();
	for(int i = 1; i <= n; i++) {
		int p = read(), v = Find(rt, p);
		insert(rt, p, v + 1);
		printf("%d\n", ns[rt].mx);
	}
	
	return 0;
}