oj.uz

Submission #635831

# Submission time Handle Problem Language Result Execution time Memory
635831 2022-08-27T07:05:09 Z S2speed LIS (INOI20_lis) C++17
100 / 100
 624 ms 74344 KB 
#include<bits/stdc++.h>

using namespace std;

#pragma GCC optimize ("Ofast")

#define all(x) x.begin() , x.end()
#define sze(x) (ll)(x.size())
typedef long long ll;

const ll maxn = 1e6 + 17 , maxa = 1.5e3 , inf = 2e16;

struct segtree {

	ll sz = 1;
	vector<ll> val;

	void build(ll x , ll lx , ll rx){
		if(rx - lx == 1){
			val[x] = 1;
			return;
		}
		ll m = (rx + lx) >> 1 , ln = (x << 1) + 1 , rn = ln + 1;
		build(ln , lx , m); build(rn , m , rx);
		val[x] = val[ln] + val[rn];
		return;
	}

	void build(){
		build(0 , 0 , sz);
		return;
	}

	void init(ll n){
		while(sz < n) sz <<= 1;
		val.resize(sz << 1);
		build();
		return;
	}

	void set(ll i , ll x , ll lx , ll rx){
		if(rx - lx == 1){
			val[x] = 0;
			return;
		}
		ll m = (rx + lx) >> 1 , ln = (x << 1) + 1 , rn = ln + 1;
		if(i < m){
			set(i , ln , lx , m);
		} else {
			set(i , rn , m , rx);
		}
		val[x] = val[ln] + val[rn];
		return;
	}

	void set(ll i){
		set(i , 0 , 0 , sz);
		return;
	}

	ll cal(ll k , ll x , ll lx , ll rx){
		if(rx - lx == 1){
			return lx;
		}
		ll m = (rx + lx) >> 1 , ln = (x << 1) + 1 , rn = ln + 1;
		if(val[ln] >= k){
			return cal(k , ln , lx , m);
		}
		return cal(k - val[ln] , rn , m , rx);
	}

	ll cal(ll k){
		ll h = cal(k , 0 , 0 , sz);
		set(h);
		return h;
	}

};

struct mintree {

	ll sz = 1;
	vector<ll> val;

	void init(ll n){
		while(sz < n) sz <<= 1;
		val.assign(sz << 1 , inf);
		return;
	}

	void set(ll i , ll k , ll x , ll lx , ll rx){
		if(rx - lx == 1){
			val[x] = min(val[x] , k);
			return;
		}
		ll m = (rx + lx) >> 1 , ln = (x << 1) + 1 , rn = ln + 1;
		if(i < m){
			set(i , k , ln , lx , m);
		} else {
			set(i , k , rn , m , rx);
		}
		val[x] = min(val[ln] , val[rn]);
		return;
	}

	void set(ll i , ll k){
		set(i , k , 0 , 0 , sz);
		return;
	}

	ll cal(ll l , ll r , ll x , ll lx , ll rx){
		if(rx <= l || lx >= r) return inf;
		if(rx <= r && lx >= l) return val[x];
		ll m = (rx + lx) >> 1 , ln = (x << 1) + 1 , rn = ln + 1;
		ll a = cal(l , r , ln , lx , m) , b = cal(l , r , rn , m , rx);
		return min(a , b);
	}

	ll cal(ll l , ll r){
		return cal(l , r , 0 , 0 , sz);
	}

};

segtree st;
mintree mt[maxa];
ll t[maxn] , a[maxn] , p[maxn] , x[maxn] , ans[maxn];
vector<ll> v;

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);

	ll n;
	cin>>n;
	for(ll i = 0 ; i < n ; i++){
		cin>>p[i]>>x[i];
		v.push_back(x[i]);
	}
	sort(all(v));
	v.resize(distance(v.begin() , unique(all(v))));
	st.init(n);
	for(ll i = n - 1 ; ~i ; i--){
		ll j = st.cal(p[i]);
		t[j] = i;
		a[j] = lower_bound(all(v) , x[i]) - v.begin() + 1;
	}
	ll vs = sze(v);
	for(ll i = 1 ; i <= vs ; i++){
		mt[i].init(vs + 1);
	}
	for(ll i = 0 ; i < n ; i++){
		mt[1].set(a[i] , t[i]);
		for(ll j = 2 ; j <= a[i] ; j++){
			ll h = max(t[i] , mt[j - 1].cal(0 , a[i]));
			mt[j].set(a[i] , h);
		}
	}
	for(ll j = 1 ; j <= vs ; j++){
		ll h = mt[j].cal(0 , vs + 1);
		if(h == inf) break;
		ans[h] = j;
	}
	cout<<"1\n";
	for(ll i = 1 ; i < n ; i++){
		ans[i] = max(ans[i] , ans[i - 1]);
		cout<<ans[i]<<'\n';
	}
	return 0;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 3 ms 652 KB Output is correct
4 Correct 5 ms 724 KB Output is correct
5 Correct 4 ms 724 KB Output is correct
6 Correct 3 ms 596 KB Output is correct
7 Correct 5 ms 724 KB Output is correct
8 Correct 4 ms 736 KB Output is correct
9 Correct 7 ms 1024 KB Output is correct
10 Correct 4 ms 724 KB Output is correct
11 Correct 6 ms 980 KB Output is correct
12 Correct 3 ms 596 KB Output is correct
13 Correct 5 ms 724 KB Output is correct
14 Correct 6 ms 724 KB Output is correct
15 Correct 2 ms 596 KB Output is correct
16 Correct 7 ms 724 KB Output is correct
17 Correct 7 ms 980 KB Output is correct
18 Correct 5 ms 724 KB Output is correct

Subtask #2
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 3 ms 652 KB Output is correct
4 Correct 5 ms 724 KB Output is correct
5 Correct 4 ms 724 KB Output is correct
6 Correct 3 ms 596 KB Output is correct
7 Correct 5 ms 724 KB Output is correct
8 Correct 4 ms 736 KB Output is correct
9 Correct 7 ms 1024 KB Output is correct
10 Correct 4 ms 724 KB Output is correct
11 Correct 6 ms 980 KB Output is correct
12 Correct 3 ms 596 KB Output is correct
13 Correct 5 ms 724 KB Output is correct
14 Correct 6 ms 724 KB Output is correct
15 Correct 2 ms 596 KB Output is correct
16 Correct 7 ms 724 KB Output is correct
17 Correct 7 ms 980 KB Output is correct
18 Correct 5 ms 724 KB Output is correct
19 Correct 76 ms 15032 KB Output is correct
20 Correct 85 ms 15184 KB Output is correct
21 Correct 74 ms 14320 KB Output is correct
22 Correct 82 ms 14400 KB Output is correct
23 Correct 103 ms 15040 KB Output is correct
24 Correct 103 ms 15124 KB Output is correct
25 Correct 105 ms 15260 KB Output is correct
26 Correct 109 ms 15124 KB Output is correct
27 Correct 102 ms 15076 KB Output is correct
28 Correct 106 ms 15060 KB Output is correct
29 Correct 106 ms 15224 KB Output is correct
30 Correct 107 ms 15116 KB Output is correct
31 Correct 118 ms 15108 KB Output is correct
32 Correct 110 ms 15100 KB Output is correct
33 Correct 107 ms 15116 KB Output is correct
34 Correct 108 ms 15120 KB Output is correct
35 Correct 110 ms 15120 KB Output is correct
36 Correct 118 ms 15112 KB Output is correct
37 Correct 111 ms 15080 KB Output is correct
38 Correct 108 ms 15096 KB Output is correct
39 Correct 109 ms 15132 KB Output is correct
40 Correct 111 ms 15124 KB Output is correct
41 Correct 71 ms 12864 KB Output is correct
42 Correct 16 ms 2740 KB Output is correct
43 Correct 61 ms 12064 KB Output is correct
44 Correct 52 ms 7912 KB Output is correct
45 Correct 12 ms 2144 KB Output is correct
46 Correct 3 ms 724 KB Output is correct
47 Correct 45 ms 6456 KB Output is correct
48 Correct 35 ms 4644 KB Output is correct
49 Correct 8 ms 1876 KB Output is correct
50 Correct 4 ms 1236 KB Output is correct
51 Correct 30 ms 4388 KB Output is correct
52 Correct 75 ms 9416 KB Output is correct
53 Correct 68 ms 8368 KB Output is correct
54 Correct 55 ms 7624 KB Output is correct
55 Correct 15 ms 2392 KB Output is correct
56 Correct 52 ms 7104 KB Output is correct
57 Correct 23 ms 3288 KB Output is correct
58 Correct 21 ms 3096 KB Output is correct
59 Correct 7 ms 1492 KB Output is correct
60 Correct 76 ms 8644 KB Output is correct
61 Correct 3 ms 980 KB Output is correct
62 Correct 34 ms 4492 KB Output is correct
63 Correct 20 ms 3096 KB Output is correct
64 Correct 51 ms 7008 KB Output is correct
65 Correct 48 ms 6728 KB Output is correct
66 Correct 12 ms 2136 KB Output is correct
67 Correct 38 ms 4976 KB Output is correct
68 Correct 25 ms 3648 KB Output is correct
69 Correct 46 ms 6456 KB Output is correct
70 Correct 13 ms 2108 KB Output is correct
71 Correct 585 ms 74284 KB Output is correct
72 Correct 617 ms 74272 KB Output is correct
73 Correct 594 ms 74344 KB Output is correct
74 Correct 622 ms 74240 KB Output is correct
75 Correct 618 ms 74216 KB Output is correct
76 Correct 624 ms 74208 KB Output is correct