BZOJ1131【树状数组】【deque】

/* I will wait for you */

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <ctime>
#include <algorithm>
#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <deque>
#include <set>
#include <map>
#include <string>
#define make make_pair
#define fi first
#define se second

using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> pii;

const int maxn =  100010;
const int maxm = 100010;
const int maxs = 26;
const int inf = 0x3f3f3f3f;
const int P = 1000000007;
const double error = 1e-9;

inline int read()
{
	int x = 0, f = 1;
	char ch = getchar();
	while (ch < '0' || ch > '9')
		  f = (ch == '-' ? -1 : 1), ch = getchar();
	while (ch >= '0' && ch <= '9')
	 	  x = x * 10 + ch - '0', ch = getchar();
	return x * f;
}

deque <int> q;

int s[maxn], f[maxn];

void insert(int x, int c) {
	for (; x < maxn; x += x & -x) 
		s[x] = max(s[x], c);
}

int query(int x) {
	int ans = 0;
	for (; x; x -= x & -x) 
		ans = max(ans, s[x]);
	return ans;
}

int main()
{
	int n = read();

	for (int i = 1; i <= n; i++) {
		int pos = read();
		q.insert(q.begin() + pos, i);
	}
	
	for (int i = 0; i < n; i++) {
		f[q[i]] = query(q[i]) + 1;
		insert(q[i], f[q[i]]);
	}
	
	for (int i = 1; i <= n; i++) {
		f[i] = max(f[i], f[i - 1]);
		printf("%d\n", f[i]);
	}
	
	return 0;
}