Submission #1022892

# Submission time Handle Problem Language Result Execution time Memory
1022892 2024-07-14T07:14:00 Z Issa Radio Towers (IOI22_towers) C++17
41 / 100
4000 ms 268008 KB
#include <bits/stdc++.h>
using namespace std;
typedef pair<int, int> pii;

const int maxn = 1e5 + 100;

int n, k;
int a[maxn];
int t[maxn];
int dp[maxn];
vector<pii> g[maxn];
int l[maxn];
int r[maxn];
int pref[maxn];

void upd(int i, int x){
	for(; i <= n; i |= (i + 1)) t[i] = max(t[i], x);
}

int get(int i){
	int res = 0;
	for(; i > 0; i = (i & (i + 1)) - 1) res = max(res, t[i]);
	return res;
}

void init(int N, std::vector<int> H){
	n = N; 
	for(int i = 1; i <= n; i++){
		a[i] = H[i-1];
	}
	k = 1;
	while(k < n && a[k+1] > a[k]) k++;
	for(int i = k + 1; i <= n; i++){
		if(a[i-1] < a[i]) k = 0;
	}
	for(int i = 1; i <= n; i++){
		pref[i] = pref[i-1];
		if(a[i] < min(a[i+1], a[i-1])) pref[i]++;
	}
}

int max_towers(int L, int R, int D){
	if(L == R) return 1;
	L++; R++;
	if(k){
		if(L < k && k < R && max(a[L], a[R]) + D <= a[k]) return 2;
		return 1;
	}
	if(D == 1){
		int ans = pref[R-1] - pref[L];
		if(a[L] < a[L+1]) ans++;
		if(a[R] < a[R-1]) ans++;
		return ans;
	}
	for(int i = 1; i <= n; i++){
		t[i] = 0;
		g[i].clear();
	}
	vector<int> v;
	for(int i = L; i <= R; i++){
		while(v.size() && a[v.back()] <= a[i]) v.pop_back();
		v.push_back(i);
		l[i] = L - 1;
		for(int tl = 0, tr = v.size() - 1; tl <= tr;){
			int mid = (tl + tr) >> 1;
			if(a[v[mid]] - D < a[i]) tr = mid - 1;
			else tl = mid + 1, l[i] = v[mid];
		}
	}
	v.clear();
	for(int i = R; i >= L; i--){
		while(v.size() && a[v.back()] <= a[i]) v.pop_back();
		v.push_back(i);
		r[i] = R + 1;
		for(int tl = 0, tr = v.size() - 1; tl <= tr;){
			int mid = (tl + tr) >> 1;
			if(a[v[mid]] - D < a[i]) tr = mid - 1;
			else tl = mid + 1, r[i] = v[mid];
		}
	}
	int ans = 0;
	for(int i = L; i <= R; i++){
		for(auto [p, x]: g[i]){
			upd(p, x);
		}
		dp[i] = get(l[i]) + 1;
		g[r[i]].push_back({i, dp[i]});
		ans = max(ans, dp[i]);
	}
	return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 306 ms 5208 KB Output is correct
2 Correct 643 ms 5720 KB Output is correct
3 Correct 605 ms 5720 KB Output is correct
4 Correct 645 ms 5720 KB Output is correct
5 Correct 606 ms 5720 KB Output is correct
6 Correct 726 ms 5720 KB Output is correct
7 Correct 621 ms 5720 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 2 ms 4440 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 3672 KB Output is correct
8 Correct 1 ms 3672 KB Output is correct
9 Correct 1 ms 3672 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 3672 KB Output is correct
15 Correct 1 ms 3672 KB Output is correct
16 Correct 1 ms 3672 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4440 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 3672 KB Output is correct
22 Correct 2 ms 3672 KB Output is correct
23 Correct 1 ms 3672 KB Output is correct
24 Correct 1 ms 4440 KB Output is correct
25 Correct 1 ms 3672 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4440 KB Output is correct
28 Correct 1 ms 3672 KB Output is correct
29 Correct 1 ms 4440 KB Output is correct
30 Correct 2 ms 4440 KB Output is correct
31 Correct 2 ms 3672 KB Output is correct
32 Correct 1 ms 3672 KB Output is correct
33 Correct 1 ms 4440 KB Output is correct
34 Correct 1 ms 4440 KB Output is correct
35 Correct 1 ms 3672 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 2 ms 4440 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 3672 KB Output is correct
8 Correct 1 ms 3672 KB Output is correct
9 Correct 1 ms 3672 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 3672 KB Output is correct
15 Correct 1 ms 3672 KB Output is correct
16 Correct 1 ms 3672 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4440 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 3672 KB Output is correct
22 Correct 2 ms 3672 KB Output is correct
23 Correct 1 ms 3672 KB Output is correct
24 Correct 1 ms 4440 KB Output is correct
25 Correct 1 ms 3672 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4440 KB Output is correct
28 Correct 1 ms 3672 KB Output is correct
29 Correct 1 ms 4440 KB Output is correct
30 Correct 2 ms 4440 KB Output is correct
31 Correct 2 ms 3672 KB Output is correct
32 Correct 1 ms 3672 KB Output is correct
33 Correct 1 ms 4440 KB Output is correct
34 Correct 1 ms 4440 KB Output is correct
35 Correct 1 ms 3672 KB Output is correct
36 Correct 12 ms 5464 KB Output is correct
37 Correct 12 ms 5840 KB Output is correct
38 Correct 10 ms 5720 KB Output is correct
39 Correct 11 ms 5840 KB Output is correct
40 Correct 10 ms 5720 KB Output is correct
41 Correct 15 ms 6556 KB Output is correct
42 Correct 10 ms 5072 KB Output is correct
43 Correct 11 ms 5072 KB Output is correct
44 Correct 10 ms 5900 KB Output is correct
45 Correct 9 ms 5720 KB Output is correct
46 Correct 9 ms 5820 KB Output is correct
47 Correct 9 ms 5720 KB Output is correct
48 Correct 9 ms 5716 KB Output is correct
49 Correct 11 ms 5716 KB Output is correct
50 Correct 9 ms 5720 KB Output is correct
51 Correct 14 ms 5720 KB Output is correct
52 Correct 9 ms 5720 KB Output is correct
53 Correct 13 ms 5708 KB Output is correct
54 Correct 9 ms 5720 KB Output is correct
55 Correct 9 ms 5720 KB Output is correct
56 Correct 9 ms 5824 KB Output is correct
57 Correct 15 ms 6524 KB Output is correct
58 Correct 18 ms 6864 KB Output is correct
59 Correct 18 ms 6864 KB Output is correct
60 Correct 18 ms 7376 KB Output is correct
61 Correct 23 ms 7116 KB Output is correct
62 Correct 20 ms 6864 KB Output is correct
63 Correct 24 ms 7112 KB Output is correct
64 Correct 10 ms 4952 KB Output is correct
65 Correct 9 ms 5704 KB Output is correct
66 Correct 17 ms 7120 KB Output is correct
67 Correct 14 ms 7376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 478 ms 5720 KB Output is correct
2 Correct 601 ms 5720 KB Output is correct
3 Correct 629 ms 5720 KB Output is correct
4 Correct 649 ms 5720 KB Output is correct
5 Correct 597 ms 5720 KB Output is correct
6 Correct 639 ms 5720 KB Output is correct
7 Correct 629 ms 4184 KB Output is correct
8 Correct 603 ms 5720 KB Output is correct
9 Correct 619 ms 5720 KB Output is correct
10 Correct 625 ms 5720 KB Output is correct
11 Correct 620 ms 4184 KB Output is correct
12 Correct 543 ms 5720 KB Output is correct
13 Correct 558 ms 5720 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 9 ms 5708 KB Output is correct
18 Correct 11 ms 4972 KB Output is correct
19 Correct 10 ms 5712 KB Output is correct
20 Correct 10 ms 5720 KB Output is correct
21 Correct 9 ms 5720 KB Output is correct
22 Correct 10 ms 5720 KB Output is correct
23 Correct 10 ms 5720 KB Output is correct
24 Correct 13 ms 5708 KB Output is correct
25 Correct 9 ms 5720 KB Output is correct
26 Correct 9 ms 5720 KB Output is correct
27 Correct 1 ms 3672 KB Output is correct
28 Correct 1 ms 4440 KB Output is correct
29 Correct 1 ms 4440 KB Output is correct
30 Correct 1 ms 3672 KB Output is correct
31 Correct 1 ms 4440 KB Output is correct
32 Correct 2 ms 3672 KB Output is correct
33 Correct 1 ms 4440 KB Output is correct
34 Correct 1 ms 4440 KB Output is correct
35 Correct 1 ms 4440 KB Output is correct
36 Correct 1 ms 4440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 4098 ms 268008 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 2 ms 4440 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4440 KB Output is correct
5 Correct 1 ms 4440 KB Output is correct
6 Correct 1 ms 4440 KB Output is correct
7 Correct 1 ms 3672 KB Output is correct
8 Correct 1 ms 3672 KB Output is correct
9 Correct 1 ms 3672 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 1 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 3672 KB Output is correct
15 Correct 1 ms 3672 KB Output is correct
16 Correct 1 ms 3672 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4440 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 3672 KB Output is correct
22 Correct 2 ms 3672 KB Output is correct
23 Correct 1 ms 3672 KB Output is correct
24 Correct 1 ms 4440 KB Output is correct
25 Correct 1 ms 3672 KB Output is correct
26 Correct 1 ms 4440 KB Output is correct
27 Correct 1 ms 4440 KB Output is correct
28 Correct 1 ms 3672 KB Output is correct
29 Correct 1 ms 4440 KB Output is correct
30 Correct 2 ms 4440 KB Output is correct
31 Correct 2 ms 3672 KB Output is correct
32 Correct 1 ms 3672 KB Output is correct
33 Correct 1 ms 4440 KB Output is correct
34 Correct 1 ms 4440 KB Output is correct
35 Correct 1 ms 3672 KB Output is correct
36 Correct 12 ms 5464 KB Output is correct
37 Correct 12 ms 5840 KB Output is correct
38 Correct 10 ms 5720 KB Output is correct
39 Correct 11 ms 5840 KB Output is correct
40 Correct 10 ms 5720 KB Output is correct
41 Correct 15 ms 6556 KB Output is correct
42 Correct 10 ms 5072 KB Output is correct
43 Correct 11 ms 5072 KB Output is correct
44 Correct 10 ms 5900 KB Output is correct
45 Correct 9 ms 5720 KB Output is correct
46 Correct 9 ms 5820 KB Output is correct
47 Correct 9 ms 5720 KB Output is correct
48 Correct 9 ms 5716 KB Output is correct
49 Correct 11 ms 5716 KB Output is correct
50 Correct 9 ms 5720 KB Output is correct
51 Correct 14 ms 5720 KB Output is correct
52 Correct 9 ms 5720 KB Output is correct
53 Correct 13 ms 5708 KB Output is correct
54 Correct 9 ms 5720 KB Output is correct
55 Correct 9 ms 5720 KB Output is correct
56 Correct 9 ms 5824 KB Output is correct
57 Correct 15 ms 6524 KB Output is correct
58 Correct 18 ms 6864 KB Output is correct
59 Correct 18 ms 6864 KB Output is correct
60 Correct 18 ms 7376 KB Output is correct
61 Correct 23 ms 7116 KB Output is correct
62 Correct 20 ms 6864 KB Output is correct
63 Correct 24 ms 7112 KB Output is correct
64 Correct 10 ms 4952 KB Output is correct
65 Correct 9 ms 5704 KB Output is correct
66 Correct 17 ms 7120 KB Output is correct
67 Correct 14 ms 7376 KB Output is correct
68 Correct 478 ms 5720 KB Output is correct
69 Correct 601 ms 5720 KB Output is correct
70 Correct 629 ms 5720 KB Output is correct
71 Correct 649 ms 5720 KB Output is correct
72 Correct 597 ms 5720 KB Output is correct
73 Correct 639 ms 5720 KB Output is correct
74 Correct 629 ms 4184 KB Output is correct
75 Correct 603 ms 5720 KB Output is correct
76 Correct 619 ms 5720 KB Output is correct
77 Correct 625 ms 5720 KB Output is correct
78 Correct 620 ms 4184 KB Output is correct
79 Correct 543 ms 5720 KB Output is correct
80 Correct 558 ms 5720 KB Output is correct
81 Correct 1 ms 4440 KB Output is correct
82 Correct 1 ms 4440 KB Output is correct
83 Correct 1 ms 4440 KB Output is correct
84 Correct 9 ms 5708 KB Output is correct
85 Correct 11 ms 4972 KB Output is correct
86 Correct 10 ms 5712 KB Output is correct
87 Correct 10 ms 5720 KB Output is correct
88 Correct 9 ms 5720 KB Output is correct
89 Correct 10 ms 5720 KB Output is correct
90 Correct 10 ms 5720 KB Output is correct
91 Correct 13 ms 5708 KB Output is correct
92 Correct 9 ms 5720 KB Output is correct
93 Correct 9 ms 5720 KB Output is correct
94 Correct 1 ms 3672 KB Output is correct
95 Correct 1 ms 4440 KB Output is correct
96 Correct 1 ms 4440 KB Output is correct
97 Correct 1 ms 3672 KB Output is correct
98 Correct 1 ms 4440 KB Output is correct
99 Correct 2 ms 3672 KB Output is correct
100 Correct 1 ms 4440 KB Output is correct
101 Correct 1 ms 4440 KB Output is correct
102 Correct 1 ms 4440 KB Output is correct
103 Correct 1 ms 4440 KB Output is correct
104 Execution timed out 4033 ms 66356 KB Time limit exceeded
105 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 306 ms 5208 KB Output is correct
2 Correct 643 ms 5720 KB Output is correct
3 Correct 605 ms 5720 KB Output is correct
4 Correct 645 ms 5720 KB Output is correct
5 Correct 606 ms 5720 KB Output is correct
6 Correct 726 ms 5720 KB Output is correct
7 Correct 621 ms 5720 KB Output is correct
8 Correct 1 ms 4440 KB Output is correct
9 Correct 1 ms 4440 KB Output is correct
10 Correct 1 ms 4440 KB Output is correct
11 Correct 1 ms 4440 KB Output is correct
12 Correct 2 ms 4440 KB Output is correct
13 Correct 1 ms 4440 KB Output is correct
14 Correct 1 ms 4440 KB Output is correct
15 Correct 1 ms 4440 KB Output is correct
16 Correct 1 ms 4440 KB Output is correct
17 Correct 1 ms 3672 KB Output is correct
18 Correct 1 ms 3672 KB Output is correct
19 Correct 1 ms 3672 KB Output is correct
20 Correct 1 ms 4440 KB Output is correct
21 Correct 1 ms 4440 KB Output is correct
22 Correct 1 ms 4440 KB Output is correct
23 Correct 1 ms 4440 KB Output is correct
24 Correct 1 ms 3672 KB Output is correct
25 Correct 1 ms 3672 KB Output is correct
26 Correct 1 ms 3672 KB Output is correct
27 Correct 1 ms 4440 KB Output is correct
28 Correct 1 ms 4440 KB Output is correct
29 Correct 1 ms 4440 KB Output is correct
30 Correct 1 ms 4440 KB Output is correct
31 Correct 1 ms 3672 KB Output is correct
32 Correct 2 ms 3672 KB Output is correct
33 Correct 1 ms 3672 KB Output is correct
34 Correct 1 ms 4440 KB Output is correct
35 Correct 1 ms 3672 KB Output is correct
36 Correct 1 ms 4440 KB Output is correct
37 Correct 1 ms 4440 KB Output is correct
38 Correct 1 ms 3672 KB Output is correct
39 Correct 1 ms 4440 KB Output is correct
40 Correct 2 ms 4440 KB Output is correct
41 Correct 2 ms 3672 KB Output is correct
42 Correct 1 ms 3672 KB Output is correct
43 Correct 1 ms 4440 KB Output is correct
44 Correct 1 ms 4440 KB Output is correct
45 Correct 1 ms 3672 KB Output is correct
46 Correct 12 ms 5464 KB Output is correct
47 Correct 12 ms 5840 KB Output is correct
48 Correct 10 ms 5720 KB Output is correct
49 Correct 11 ms 5840 KB Output is correct
50 Correct 10 ms 5720 KB Output is correct
51 Correct 15 ms 6556 KB Output is correct
52 Correct 10 ms 5072 KB Output is correct
53 Correct 11 ms 5072 KB Output is correct
54 Correct 10 ms 5900 KB Output is correct
55 Correct 9 ms 5720 KB Output is correct
56 Correct 9 ms 5820 KB Output is correct
57 Correct 9 ms 5720 KB Output is correct
58 Correct 9 ms 5716 KB Output is correct
59 Correct 11 ms 5716 KB Output is correct
60 Correct 9 ms 5720 KB Output is correct
61 Correct 14 ms 5720 KB Output is correct
62 Correct 9 ms 5720 KB Output is correct
63 Correct 13 ms 5708 KB Output is correct
64 Correct 9 ms 5720 KB Output is correct
65 Correct 9 ms 5720 KB Output is correct
66 Correct 9 ms 5824 KB Output is correct
67 Correct 15 ms 6524 KB Output is correct
68 Correct 18 ms 6864 KB Output is correct
69 Correct 18 ms 6864 KB Output is correct
70 Correct 18 ms 7376 KB Output is correct
71 Correct 23 ms 7116 KB Output is correct
72 Correct 20 ms 6864 KB Output is correct
73 Correct 24 ms 7112 KB Output is correct
74 Correct 10 ms 4952 KB Output is correct
75 Correct 9 ms 5704 KB Output is correct
76 Correct 17 ms 7120 KB Output is correct
77 Correct 14 ms 7376 KB Output is correct
78 Correct 478 ms 5720 KB Output is correct
79 Correct 601 ms 5720 KB Output is correct
80 Correct 629 ms 5720 KB Output is correct
81 Correct 649 ms 5720 KB Output is correct
82 Correct 597 ms 5720 KB Output is correct
83 Correct 639 ms 5720 KB Output is correct
84 Correct 629 ms 4184 KB Output is correct
85 Correct 603 ms 5720 KB Output is correct
86 Correct 619 ms 5720 KB Output is correct
87 Correct 625 ms 5720 KB Output is correct
88 Correct 620 ms 4184 KB Output is correct
89 Correct 543 ms 5720 KB Output is correct
90 Correct 558 ms 5720 KB Output is correct
91 Correct 1 ms 4440 KB Output is correct
92 Correct 1 ms 4440 KB Output is correct
93 Correct 1 ms 4440 KB Output is correct
94 Correct 9 ms 5708 KB Output is correct
95 Correct 11 ms 4972 KB Output is correct
96 Correct 10 ms 5712 KB Output is correct
97 Correct 10 ms 5720 KB Output is correct
98 Correct 9 ms 5720 KB Output is correct
99 Correct 10 ms 5720 KB Output is correct
100 Correct 10 ms 5720 KB Output is correct
101 Correct 13 ms 5708 KB Output is correct
102 Correct 9 ms 5720 KB Output is correct
103 Correct 9 ms 5720 KB Output is correct
104 Correct 1 ms 3672 KB Output is correct
105 Correct 1 ms 4440 KB Output is correct
106 Correct 1 ms 4440 KB Output is correct
107 Correct 1 ms 3672 KB Output is correct
108 Correct 1 ms 4440 KB Output is correct
109 Correct 2 ms 3672 KB Output is correct
110 Correct 1 ms 4440 KB Output is correct
111 Correct 1 ms 4440 KB Output is correct
112 Correct 1 ms 4440 KB Output is correct
113 Correct 1 ms 4440 KB Output is correct
114 Execution timed out 4098 ms 268008 KB Time limit exceeded
115 Halted 0 ms 0 KB -