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Submission #717010

# Submission time Handle Problem Language Result Execution time Memory
717010 2023-03-31T20:52:16 Z AmirAli_H1 Global Warming (CEOI18_glo) C++17
100 / 100
 1030 ms 60256 KB 
// In the name of Allah

#include <bits/stdc++.h>
using namespace std;

typedef long long int	ll;
typedef long double	ld;
typedef pair<int, int>	pii;
typedef pair<ll, ll>	pll;

#define all(x)		(x).begin(),(x).end()
#define len(x)		((ll) (x).size())
#define F		first
#define S		second
#define pb		push_back
#define sep             ' '
#define endl            '\n'
#define Mp		make_pair
#define debug(x)	cerr << #x << ": " <<  x << endl;
#define kill(x)		cout << x << '\n', exit(0);
#define set_dec(x)	cout << fixed << setprecision(x);
#define file_io(x,y)	freopen(x, "r", stdin); freopen(y, "w", stdout);

int n; ll x;
const int maxn = 1e6 + 5;
const ll oo = 1e18;
ll a[maxn]; ll res1[maxn], res2[maxn];
ll ans = 0;
vector<ll> arr;
ll t[4 * maxn]; vector<pll> vc[maxn];

int GI(ll val) {
	return lower_bound(all(arr), val) - arr.begin();
}

void set_val(int v, int tl, int tr, int i, ll x) {
	if (i >= tr || i < tl) return ;
	if (tr - tl == 1) {
		t[v] = x;
		return ;
	}
	int mid = (tl + tr) / 2;
	set_val(2 * v + 1, tl, mid, i, x); set_val(2 * v + 2, mid, tr, i, x);
	t[v] = max(t[2 * v + 1], t[2 * v + 2]);
}

ll get_max(int v, int tl, int tr, int l, int r) {
	l = max(l, tl); r = min(r, tr);
	if (l >= tr || r <= tl) return 0;
	if (l == tl && r == tr) return t[v];
	int mid = (tl + tr) / 2;
	return max(get_max(2 * v + 1, tl, mid, l, r), get_max(2 * v + 2, mid, tr, l, r));
}

int main() {
	ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
	
	cin >> n >> x;
	for (int i = 1; i <= n; i++) {
		cin >> a[i];
		arr.pb(a[i]); arr.pb(a[i] - x + 1); arr.pb(a[i] + x - 1);
	}
	arr.pb(-oo); arr.pb(oo);
	sort(all(arr)); arr.resize(unique(all(arr)) - arr.begin());
	
	// Part 1
	for (int i = 0; i <= n + 1; i++) vc[i].clear();
	fill(t, t + 4 * len(arr), 0);
	
	reverse(a + 1, a + (n + 1));
	for (int i = 1; i <= n; i++) a[i] = -a[i];
	fill(res2, res2 + (n + 2), oo);
	res2[0] = -oo;
	for (int i = 1; i <= n; i++) {
		int j = lower_bound(res2, res2 + (n + 1), a[i]) - res2;
		if (a[i] > res2[j - 1]) {
			res2[j] = a[i];
			int jx = GI(-res2[j]);
			vc[i].pb(Mp(get_max(0, 0, len(arr), jx, jx + 1), -res2[j]));
			set_val(0, 0, len(arr), GI(-res2[j]), j);
		}
	}
	reverse(a + 1, a + (n + 1));
	for (int i = 1; i <= n; i++) a[i] = -a[i];
	
	fill(res1, res1 + (n + 2), oo);
	res1[0] = -oo;
	for (int i = 1; i <= n; i++) {
		int j = lower_bound(res1, res1 + (n + 1), a[i]) - res1;
		if (a[i] > res1[j - 1]) {
			res1[j] = a[i];
			for (auto f : vc[n - i + 1]) {
				set_val(0, 0, len(arr), GI(f.S), f.F);
			}
			int j1 = GI(res1[j] - x + 1), j2 = GI(oo);
			ans = max(ans, j + get_max(0, 0, len(arr), j1, j2));
		}
	}
	
	for (int i = 0; i <= n; i++) {
		if (res1[i] < oo) ans = max(ans, 0ll + i);
	}
	
	// Part 2
	for (int i = 0; i <= n + 1; i++) vc[i].clear();
	fill(t, t + 4 * len(arr), 0);
	
	fill(res1, res1 + (n + 2), oo);
	res1[0] = -oo;
	for (int i = 1; i <= n; i++) {
		int j = lower_bound(res1, res1 + (n + 1), a[i]) - res1;
		if (a[i] > res1[j - 1]) {
			res1[j] = a[i];
			int jx = GI(res1[j]);
			vc[i].pb(Mp(get_max(0, 0, len(arr), jx, jx + 1), res1[j]));
			set_val(0, 0, len(arr), GI(res1[j]), j);
		}
	}
	
	reverse(a + 1, a + (n + 1));
	for (int i = 1; i <= n; i++) a[i] = -a[i];
	fill(res2, res2 + (n + 2), oo);
	res2[0] = -oo;
	for (int i = 1; i <= n; i++) {
		int j = lower_bound(res2, res2 + (n + 1), a[i]) - res2;
		if (a[i] > res2[j - 1]) {
			res2[j] = a[i];
			for (auto f : vc[n - i + 1]) {
				set_val(0, 0, len(arr), GI(f.S), f.F);
			}
			int j1 = GI(-oo) + 1, j2 = GI(-res2[j] + x - 1) + 1;
			ans = max(ans, j + get_max(0, 0, len(arr), j1, j2));
		}
	}
	reverse(a + 1, a + (n + 1));
	for (int i = 1; i <= n; i++) a[i] = -a[i];
	
	for (int i = 0; i <= n; i++) {
		if (res2[i] < oo) ans = max(ans, 0ll + i);
	}
	
	cout << ans << endl;
	
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23764 KB Output is correct
2 Correct 15 ms 23724 KB Output is correct
3 Correct 13 ms 23764 KB Output is correct
4 Correct 12 ms 23788 KB Output is correct
5 Correct 12 ms 23832 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 12 ms 23828 KB Output is correct
9 Correct 12 ms 23764 KB Output is correct
10 Correct 13 ms 23828 KB Output is correct
11 Correct 12 ms 23848 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23764 KB Output is correct
2 Correct 15 ms 23724 KB Output is correct
3 Correct 13 ms 23764 KB Output is correct
4 Correct 12 ms 23788 KB Output is correct
5 Correct 12 ms 23832 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 12 ms 23828 KB Output is correct
9 Correct 12 ms 23764 KB Output is correct
10 Correct 13 ms 23828 KB Output is correct
11 Correct 12 ms 23848 KB Output is correct
12 Correct 13 ms 23848 KB Output is correct
13 Correct 13 ms 23800 KB Output is correct
14 Correct 13 ms 23764 KB Output is correct
15 Correct 14 ms 23852 KB Output is correct
16 Correct 13 ms 23764 KB Output is correct
17 Correct 12 ms 23896 KB Output is correct
18 Correct 13 ms 23764 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23764 KB Output is correct
2 Correct 15 ms 23724 KB Output is correct
3 Correct 13 ms 23764 KB Output is correct
4 Correct 12 ms 23788 KB Output is correct
5 Correct 12 ms 23832 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 12 ms 23828 KB Output is correct
9 Correct 12 ms 23764 KB Output is correct
10 Correct 13 ms 23828 KB Output is correct
11 Correct 12 ms 23848 KB Output is correct
12 Correct 13 ms 23848 KB Output is correct
13 Correct 13 ms 23800 KB Output is correct
14 Correct 13 ms 23764 KB Output is correct
15 Correct 14 ms 23852 KB Output is correct
16 Correct 13 ms 23764 KB Output is correct
17 Correct 12 ms 23896 KB Output is correct
18 Correct 13 ms 23764 KB Output is correct
19 Correct 15 ms 23956 KB Output is correct
20 Correct 15 ms 23956 KB Output is correct
21 Correct 14 ms 23960 KB Output is correct
22 Correct 15 ms 23960 KB Output is correct
23 Correct 17 ms 23952 KB Output is correct
24 Correct 18 ms 23916 KB Output is correct
25 Correct 15 ms 23892 KB Output is correct
26 Correct 18 ms 23892 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 972 ms 60140 KB Output is correct
2 Correct 1030 ms 60256 KB Output is correct
3 Correct 949 ms 60180 KB Output is correct
4 Correct 955 ms 60168 KB Output is correct
5 Correct 467 ms 49976 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 207 ms 32912 KB Output is correct
2 Correct 202 ms 32816 KB Output is correct
3 Correct 226 ms 32820 KB Output is correct
4 Correct 117 ms 30360 KB Output is correct
5 Correct 15 ms 23764 KB Output is correct
6 Correct 115 ms 28748 KB Output is correct
7 Correct 164 ms 31876 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 404 ms 41916 KB Output is correct
2 Correct 421 ms 41988 KB Output is correct
3 Correct 894 ms 60136 KB Output is correct
4 Correct 481 ms 49964 KB Output is correct
5 Correct 289 ms 41528 KB Output is correct
6 Correct 493 ms 57736 KB Output is correct
7 Correct 491 ms 58428 KB Output is correct
8 Correct 321 ms 42020 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 23764 KB Output is correct
2 Correct 15 ms 23724 KB Output is correct
3 Correct 13 ms 23764 KB Output is correct
4 Correct 12 ms 23788 KB Output is correct
5 Correct 12 ms 23832 KB Output is correct
6 Correct 12 ms 23764 KB Output is correct
7 Correct 12 ms 23764 KB Output is correct
8 Correct 12 ms 23828 KB Output is correct
9 Correct 12 ms 23764 KB Output is correct
10 Correct 13 ms 23828 KB Output is correct
11 Correct 12 ms 23848 KB Output is correct
12 Correct 13 ms 23848 KB Output is correct
13 Correct 13 ms 23800 KB Output is correct
14 Correct 13 ms 23764 KB Output is correct
15 Correct 14 ms 23852 KB Output is correct
16 Correct 13 ms 23764 KB Output is correct
17 Correct 12 ms 23896 KB Output is correct
18 Correct 13 ms 23764 KB Output is correct
19 Correct 15 ms 23956 KB Output is correct
20 Correct 15 ms 23956 KB Output is correct
21 Correct 14 ms 23960 KB Output is correct
22 Correct 15 ms 23960 KB Output is correct
23 Correct 17 ms 23952 KB Output is correct
24 Correct 18 ms 23916 KB Output is correct
25 Correct 15 ms 23892 KB Output is correct
26 Correct 18 ms 23892 KB Output is correct
27 Correct 972 ms 60140 KB Output is correct
28 Correct 1030 ms 60256 KB Output is correct
29 Correct 949 ms 60180 KB Output is correct
30 Correct 955 ms 60168 KB Output is correct
31 Correct 467 ms 49976 KB Output is correct
32 Correct 207 ms 32912 KB Output is correct
33 Correct 202 ms 32816 KB Output is correct
34 Correct 226 ms 32820 KB Output is correct
35 Correct 117 ms 30360 KB Output is correct
36 Correct 15 ms 23764 KB Output is correct
37 Correct 115 ms 28748 KB Output is correct
38 Correct 164 ms 31876 KB Output is correct
39 Correct 404 ms 41916 KB Output is correct
40 Correct 421 ms 41988 KB Output is correct
41 Correct 894 ms 60136 KB Output is correct
42 Correct 481 ms 49964 KB Output is correct
43 Correct 289 ms 41528 KB Output is correct
44 Correct 493 ms 57736 KB Output is correct
45 Correct 491 ms 58428 KB Output is correct
46 Correct 321 ms 42020 KB Output is correct
47 Correct 433 ms 41916 KB Output is correct
48 Correct 442 ms 41972 KB Output is correct
49 Correct 975 ms 60180 KB Output is correct
50 Correct 463 ms 50024 KB Output is correct
51 Correct 400 ms 42592 KB Output is correct
52 Correct 551 ms 47160 KB Output is correct
53 Correct 516 ms 59484 KB Output is correct
54 Correct 550 ms 60224 KB Output is correct
55 Correct 703 ms 56068 KB Output is correct