Submission #521172

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
521172	2022-02-01T06:49:33 Z	blue	The short shank; Redemption (BOI21_prison)	C++17	100 / 100	457 ms	269108 KB

prison

#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

using vi = vector<int>;
#define sz(x) int(x.size())

vi* children;
vi parent;

vi depth;
vi st_depth;

vi occ;

void dfs1(int u)
{
	for(int v: children[u])
	{
		depth[v] = 1 + depth[u];
		dfs1(v);
		st_depth[u] = max(st_depth[u], 1 + st_depth[v]);
	}
}

void dfs2(int u, int ct)
{
	if(sz(children[u]) == 0) occ[ct]++;
	else
	{
		bool done = 0;
		for(int v: children[u])
		{
			if(!done && st_depth[v] == st_depth[u] - 1)
			{
				done = 1;
				dfs2(v, ct+1);
			}
			else
			{
				dfs2(v, 1);
			}
		}
	}
}

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

	int N, D, T;
	cin >> N >> D >> T;

	vi t(1+N);
	for(int i = 1; i <= N; i++) cin >> t[i];

	vi J(1+N, -1); //place mattress in (J[i], i)

	vi rst;

	for(int j = N; j >= 1; j--)
	{
		rst.push_back(j);

		while(!rst.empty())
		{
			int i = rst.back();

			if(t[j] + (i - j) > T) break;

			J[i] = j;

			rst.pop_back();
		}
	}

	// for(int i = 1; i <= N; i++) cerr << i << " : " << J[i] << '\n';

	vi closings(1+N);

	int res = N;

	vi active(1+N, 0);

	for(int i = N; i >= 1; i--)
	{
		if(J[i] == i)
		{
			continue;
		}

		if(J[i] == -1)
		{
			res--;
			continue;
		}

		active[i] = 1;

		closings[ J[i] ]++;
	}



	vi st{0};

	children = new vi[1+N];
	parent = vi(1+N);

	// cerr << "res = " << res << '\n';

	for(int i = N; i >= 1; i--)
	{
		if(active[i]) 
		{
			// cerr << "active = " << J[i] << " " << i << '\n';
			parent[i] = st.back();
			children[parent[i]].push_back(i);
			st.push_back(i);
		}
		else 
		{
			for(int z = 0; z < closings[i]; z++)
				st.pop_back();
		}
 	}

 	depth = vi(1+N, 0);
 	st_depth = vi(1+N, 0);

 	occ = vi(1+N, 0);

 	dfs1(0);

 	dfs2(0, 0);

 	for(int z = N; z >= 0; z--)
 	{
 		while(occ[z] && D)
 		{
 			occ[z]--;
 			D--;
 			res -= z;
 		}
 	}

 	cout << res << '\n';
}

Subtask #1
15.0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 KB	Output is correct
5	Correct	0 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	300 KB	Output is correct
8	Correct	1 ms	312 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct

Subtask #2
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	204 KB	Output is correct
2	Correct	80 ms	32060 KB	Output is correct
3	Correct	78 ms	29916 KB	Output is correct
4	Correct	86 ms	34788 KB	Output is correct
5	Correct	74 ms	37556 KB	Output is correct
6	Correct	85 ms	39124 KB	Output is correct
7	Correct	116 ms	82372 KB	Output is correct
8	Correct	100 ms	39984 KB	Output is correct

Subtask #3
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 KB	Output is correct
5	Correct	0 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	300 KB	Output is correct
8	Correct	1 ms	312 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	0 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	1 ms	332 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	0 ms	332 KB	Output is correct
20	Correct	0 ms	332 KB	Output is correct
21	Correct	0 ms	332 KB	Output is correct
22	Correct	1 ms	332 KB	Output is correct
23	Correct	1 ms	588 KB	Output is correct
24	Correct	1 ms	588 KB	Output is correct
25	Correct	1 ms	588 KB	Output is correct
26	Correct	1 ms	580 KB	Output is correct
27	Correct	1 ms	580 KB	Output is correct
28	Correct	2 ms	584 KB	Output is correct
29	Correct	1 ms	588 KB	Output is correct
30	Correct	1 ms	588 KB	Output is correct
31	Correct	1 ms	588 KB	Output is correct
32	Correct	1 ms	460 KB	Output is correct
33	Correct	1 ms	460 KB	Output is correct
34	Correct	1 ms	588 KB	Output is correct
35	Correct	1 ms	588 KB	Output is correct

Subtask #4
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	14 ms	5356 KB	Output is correct
3	Correct	13 ms	5100 KB	Output is correct
4	Correct	14 ms	8636 KB	Output is correct
5	Correct	15 ms	10308 KB	Output is correct
6	Correct	15 ms	10340 KB	Output is correct
7	Correct	11 ms	6208 KB	Output is correct
8	Correct	11 ms	5980 KB	Output is correct
9	Correct	17 ms	12536 KB	Output is correct
10	Correct	11 ms	5356 KB	Output is correct

Subtask #5
25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 KB	Output is correct
5	Correct	0 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	300 KB	Output is correct
8	Correct	1 ms	312 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	0 ms	332 KB	Output is correct
14	Correct	1 ms	332 KB	Output is correct
15	Correct	1 ms	332 KB	Output is correct
16	Correct	1 ms	332 KB	Output is correct
17	Correct	1 ms	332 KB	Output is correct
18	Correct	1 ms	332 KB	Output is correct
19	Correct	0 ms	332 KB	Output is correct
20	Correct	0 ms	332 KB	Output is correct
21	Correct	0 ms	332 KB	Output is correct
22	Correct	1 ms	332 KB	Output is correct
23	Correct	1 ms	588 KB	Output is correct
24	Correct	1 ms	588 KB	Output is correct
25	Correct	1 ms	588 KB	Output is correct
26	Correct	1 ms	580 KB	Output is correct
27	Correct	1 ms	580 KB	Output is correct
28	Correct	2 ms	584 KB	Output is correct
29	Correct	1 ms	588 KB	Output is correct
30	Correct	1 ms	588 KB	Output is correct
31	Correct	1 ms	588 KB	Output is correct
32	Correct	1 ms	460 KB	Output is correct
33	Correct	1 ms	460 KB	Output is correct
34	Correct	1 ms	588 KB	Output is correct
35	Correct	1 ms	588 KB	Output is correct
36	Correct	1 ms	204 KB	Output is correct
37	Correct	14 ms	5356 KB	Output is correct
38	Correct	13 ms	5100 KB	Output is correct
39	Correct	14 ms	8636 KB	Output is correct
40	Correct	15 ms	10308 KB	Output is correct
41	Correct	15 ms	10340 KB	Output is correct
42	Correct	11 ms	6208 KB	Output is correct
43	Correct	11 ms	5980 KB	Output is correct
44	Correct	17 ms	12536 KB	Output is correct
45	Correct	11 ms	5356 KB	Output is correct
46	Correct	0 ms	204 KB	Output is correct
47	Correct	1 ms	332 KB	Output is correct
48	Correct	1 ms	332 KB	Output is correct
49	Correct	1 ms	332 KB	Output is correct
50	Correct	1 ms	332 KB	Output is correct
51	Correct	1 ms	308 KB	Output is correct
52	Correct	0 ms	332 KB	Output is correct
53	Correct	1 ms	332 KB	Output is correct
54	Correct	1 ms	316 KB	Output is correct
55	Correct	1 ms	332 KB	Output is correct
56	Correct	1 ms	332 KB	Output is correct
57	Correct	1 ms	624 KB	Output is correct
58	Correct	1 ms	580 KB	Output is correct
59	Correct	1 ms	576 KB	Output is correct
60	Correct	1 ms	588 KB	Output is correct
61	Correct	1 ms	584 KB	Output is correct
62	Correct	1 ms	588 KB	Output is correct
63	Correct	1 ms	580 KB	Output is correct
64	Correct	1 ms	588 KB	Output is correct
65	Correct	1 ms	588 KB	Output is correct
66	Correct	1 ms	452 KB	Output is correct
67	Correct	1 ms	428 KB	Output is correct
68	Correct	1 ms	588 KB	Output is correct
69	Correct	1 ms	580 KB	Output is correct
70	Correct	1 ms	316 KB	Output is correct
71	Correct	14 ms	6092 KB	Output is correct
72	Correct	14 ms	5956 KB	Output is correct
73	Correct	14 ms	8652 KB	Output is correct
74	Correct	15 ms	10196 KB	Output is correct
75	Correct	16 ms	10320 KB	Output is correct
76	Correct	16 ms	6256 KB	Output is correct
77	Correct	11 ms	5984 KB	Output is correct
78	Correct	15 ms	12460 KB	Output is correct
79	Correct	10 ms	5196 KB	Output is correct
80	Correct	13 ms	5852 KB	Output is correct
81	Correct	13 ms	6092 KB	Output is correct
82	Correct	13 ms	5828 KB	Output is correct
83	Correct	13 ms	7236 KB	Output is correct
84	Correct	11 ms	5708 KB	Output is correct
85	Correct	18 ms	10548 KB	Output is correct
86	Correct	14 ms	6900 KB	Output is correct
87	Correct	15 ms	5692 KB	Output is correct
88	Correct	20 ms	11076 KB	Output is correct
89	Correct	16 ms	12220 KB	Output is correct
90	Correct	14 ms	9836 KB	Output is correct

Subtask #6
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	0 ms	332 KB	Output is correct
4	Correct	0 ms	332 KB	Output is correct
5	Correct	0 ms	332 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	300 KB	Output is correct
8	Correct	1 ms	312 KB	Output is correct
9	Correct	1 ms	332 KB	Output is correct
10	Correct	1 ms	332 KB	Output is correct
11	Correct	1 ms	332 KB	Output is correct
12	Correct	0 ms	204 KB	Output is correct
13	Correct	80 ms	32060 KB	Output is correct
14	Correct	78 ms	29916 KB	Output is correct
15	Correct	86 ms	34788 KB	Output is correct
16	Correct	74 ms	37556 KB	Output is correct
17	Correct	85 ms	39124 KB	Output is correct
18	Correct	116 ms	82372 KB	Output is correct
19	Correct	100 ms	39984 KB	Output is correct
20	Correct	1 ms	204 KB	Output is correct
21	Correct	0 ms	332 KB	Output is correct
22	Correct	1 ms	332 KB	Output is correct
23	Correct	1 ms	332 KB	Output is correct
24	Correct	1 ms	332 KB	Output is correct
25	Correct	1 ms	332 KB	Output is correct
26	Correct	1 ms	332 KB	Output is correct
27	Correct	0 ms	332 KB	Output is correct
28	Correct	0 ms	332 KB	Output is correct
29	Correct	0 ms	332 KB	Output is correct
30	Correct	1 ms	332 KB	Output is correct
31	Correct	1 ms	588 KB	Output is correct
32	Correct	1 ms	588 KB	Output is correct
33	Correct	1 ms	588 KB	Output is correct
34	Correct	1 ms	580 KB	Output is correct
35	Correct	1 ms	580 KB	Output is correct
36	Correct	2 ms	584 KB	Output is correct
37	Correct	1 ms	588 KB	Output is correct
38	Correct	1 ms	588 KB	Output is correct
39	Correct	1 ms	588 KB	Output is correct
40	Correct	1 ms	460 KB	Output is correct
41	Correct	1 ms	460 KB	Output is correct
42	Correct	1 ms	588 KB	Output is correct
43	Correct	1 ms	588 KB	Output is correct
44	Correct	1 ms	204 KB	Output is correct
45	Correct	14 ms	5356 KB	Output is correct
46	Correct	13 ms	5100 KB	Output is correct
47	Correct	14 ms	8636 KB	Output is correct
48	Correct	15 ms	10308 KB	Output is correct
49	Correct	15 ms	10340 KB	Output is correct
50	Correct	11 ms	6208 KB	Output is correct
51	Correct	11 ms	5980 KB	Output is correct
52	Correct	17 ms	12536 KB	Output is correct
53	Correct	11 ms	5356 KB	Output is correct
54	Correct	0 ms	204 KB	Output is correct
55	Correct	1 ms	332 KB	Output is correct
56	Correct	1 ms	332 KB	Output is correct
57	Correct	1 ms	332 KB	Output is correct
58	Correct	1 ms	332 KB	Output is correct
59	Correct	1 ms	308 KB	Output is correct
60	Correct	0 ms	332 KB	Output is correct
61	Correct	1 ms	332 KB	Output is correct
62	Correct	1 ms	316 KB	Output is correct
63	Correct	1 ms	332 KB	Output is correct
64	Correct	1 ms	332 KB	Output is correct
65	Correct	1 ms	624 KB	Output is correct
66	Correct	1 ms	580 KB	Output is correct
67	Correct	1 ms	576 KB	Output is correct
68	Correct	1 ms	588 KB	Output is correct
69	Correct	1 ms	584 KB	Output is correct
70	Correct	1 ms	588 KB	Output is correct
71	Correct	1 ms	580 KB	Output is correct
72	Correct	1 ms	588 KB	Output is correct
73	Correct	1 ms	588 KB	Output is correct
74	Correct	1 ms	452 KB	Output is correct
75	Correct	1 ms	428 KB	Output is correct
76	Correct	1 ms	588 KB	Output is correct
77	Correct	1 ms	580 KB	Output is correct
78	Correct	1 ms	316 KB	Output is correct
79	Correct	14 ms	6092 KB	Output is correct
80	Correct	14 ms	5956 KB	Output is correct
81	Correct	14 ms	8652 KB	Output is correct
82	Correct	15 ms	10196 KB	Output is correct
83	Correct	16 ms	10320 KB	Output is correct
84	Correct	16 ms	6256 KB	Output is correct
85	Correct	11 ms	5984 KB	Output is correct
86	Correct	15 ms	12460 KB	Output is correct
87	Correct	10 ms	5196 KB	Output is correct
88	Correct	13 ms	5852 KB	Output is correct
89	Correct	13 ms	6092 KB	Output is correct
90	Correct	13 ms	5828 KB	Output is correct
91	Correct	13 ms	7236 KB	Output is correct
92	Correct	11 ms	5708 KB	Output is correct
93	Correct	18 ms	10548 KB	Output is correct
94	Correct	14 ms	6900 KB	Output is correct
95	Correct	15 ms	5692 KB	Output is correct
96	Correct	20 ms	11076 KB	Output is correct
97	Correct	16 ms	12220 KB	Output is correct
98	Correct	14 ms	9836 KB	Output is correct
99	Correct	1 ms	204 KB	Output is correct
100	Correct	1 ms	312 KB	Output is correct
101	Correct	1 ms	332 KB	Output is correct
102	Correct	1 ms	332 KB	Output is correct
103	Correct	1 ms	332 KB	Output is correct
104	Correct	1 ms	332 KB	Output is correct
105	Correct	1 ms	332 KB	Output is correct
106	Correct	1 ms	332 KB	Output is correct
107	Correct	1 ms	332 KB	Output is correct
108	Correct	1 ms	332 KB	Output is correct
109	Correct	1 ms	288 KB	Output is correct
110	Correct	1 ms	204 KB	Output is correct
111	Correct	87 ms	37068 KB	Output is correct
112	Correct	84 ms	34764 KB	Output is correct
113	Correct	77 ms	38084 KB	Output is correct
114	Correct	74 ms	37452 KB	Output is correct
115	Correct	77 ms	39232 KB	Output is correct
116	Correct	120 ms	82332 KB	Output is correct
117	Correct	80 ms	40012 KB	Output is correct
118	Correct	1 ms	588 KB	Output is correct
119	Correct	2 ms	588 KB	Output is correct
120	Correct	1 ms	588 KB	Output is correct
121	Correct	1 ms	580 KB	Output is correct
122	Correct	1 ms	588 KB	Output is correct
123	Correct	1 ms	580 KB	Output is correct
124	Correct	1 ms	580 KB	Output is correct
125	Correct	1 ms	576 KB	Output is correct
126	Correct	1 ms	584 KB	Output is correct
127	Correct	1 ms	460 KB	Output is correct
128	Correct	1 ms	460 KB	Output is correct
129	Correct	1 ms	588 KB	Output is correct
130	Correct	1 ms	588 KB	Output is correct
131	Correct	0 ms	312 KB	Output is correct
132	Correct	14 ms	6080 KB	Output is correct
133	Correct	13 ms	5816 KB	Output is correct
134	Correct	14 ms	8604 KB	Output is correct
135	Correct	17 ms	10304 KB	Output is correct
136	Correct	22 ms	10328 KB	Output is correct
137	Correct	14 ms	6372 KB	Output is correct
138	Correct	13 ms	6216 KB	Output is correct
139	Correct	21 ms	12520 KB	Output is correct
140	Correct	10 ms	5188 KB	Output is correct
141	Correct	14 ms	5860 KB	Output is correct
142	Correct	14 ms	6084 KB	Output is correct
143	Correct	13 ms	5832 KB	Output is correct
144	Correct	13 ms	7244 KB	Output is correct
145	Correct	14 ms	5808 KB	Output is correct
146	Correct	16 ms	10444 KB	Output is correct
147	Correct	14 ms	6888 KB	Output is correct
148	Correct	14 ms	5616 KB	Output is correct
149	Correct	15 ms	11084 KB	Output is correct
150	Correct	16 ms	12252 KB	Output is correct
151	Correct	14 ms	9804 KB	Output is correct
152	Correct	356 ms	147240 KB	Output is correct
153	Correct	369 ms	149956 KB	Output is correct
154	Correct	359 ms	144596 KB	Output is correct
155	Correct	360 ms	183484 KB	Output is correct
156	Correct	320 ms	149216 KB	Output is correct
157	Correct	300 ms	141916 KB	Output is correct
158	Correct	377 ms	169260 KB	Output is correct
159	Correct	424 ms	269108 KB	Output is correct
160	Correct	457 ms	249392 KB	Output is correct
161	Correct	275 ms	133524 KB	Output is correct
162	Correct	292 ms	136284 KB	Output is correct

Submission #521172

Compilation message

Subtask #1 15.0 / 15.0

Subtask #2 10.0 / 10.0

Subtask #3 20.0 / 20.0

Subtask #4 10.0 / 10.0

Subtask #5 25.0 / 25.0

Subtask #6 20.0 / 20.0

Subtask #1
15.0 / 15.0

Subtask #2
10.0 / 10.0

Subtask #3
20.0 / 20.0

Subtask #4
10.0 / 10.0

Subtask #5
25.0 / 25.0

Subtask #6
20.0 / 20.0