Submission #444324

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
444324	2021-07-13T15:26:03 Z	8e7	The short shank; Redemption (BOI21_prison)	C++17	100 / 100	547 ms	235680 KB

prison

//Challenge: Accepted
#include <iostream>
#include <algorithm>
#include <vector>
#include <utility>
#include <queue>
#include <set>
#include <stack>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
//using namespace __gnu_pbds;
void debug() {cout << endl;}
template<class T, class ... U> void debug(T a, U ... b) {cout << a << " ", debug(b ...);}
template<class T> void pary(T l, T r) {
	while (l != r) cout << *l << " ", l++;
	cout << endl;
}
#define ll long long
#define maxn 2000005
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);
int rig[maxn], dep[maxn], ma[maxn];
vector<int> adj[maxn], val;
stack<int> stk, tree;
void dfs(int n, int par, int d) {
	dep[n] = d;
	for (int v:adj[n]) dfs(v, n, d + 1), dep[n] = max(dep[n], dep[v]);
}
void dfs2(int n, int par, int to, int d) {
	ma[to] = max(ma[to], dep[to] - d + 1);
	int best = 0, bind = 0;
	for (int v:adj[n]) {
		if (dep[v] > best) best = dep[v], bind = v;
	}
	for (int v:adj[n]) {
		if (v == bind) dfs2(v, n, to, d + 1);
		else dfs2(v, n, v, d + 1);
	}
}
int main() {
	io
	int n, k, t;
	cin >> n >> k >> t;
	for (int i = 1;i <= n;i++) {
		int ti;
		cin >> ti;
		if (ti <= t) {
			rig[i] = min(n, i + t - ti); //[i, a[i]]
		} 
	}
	int cnt = 0;
	for (int i = n;i > 0;i--) {
		if (rig[i]) {
			cnt++;
			while (stk.size() && rig[i] >= stk.top()) {
				int cur = stk.top();stk.pop();	
				cnt++;
				while (tree.size() && cur > tree.top()) {
					adj[cur].push_back(tree.top());
					tree.pop();
				}
				tree.push(cur);
			}
		} else {
			stk.push(i);
		}
	}	
	while (tree.size()) {
		adj[0].push_back(tree.top()), tree.pop();
	}
	dfs(0, 0, 0);
	dfs2(0, 0, 0, 0);
	for (int i = 0;i <= n;i++) {
		if (ma[i]) val.push_back(ma[i]);
	}
	sort(val.begin(), val.end(), [&] (int x, int y) {return x > y;});
	for (int i = 0;i < min(k, int(val.size()));i++) cnt -= val[i];
	cout << cnt + 1 << endl;
}
/*
5 1 42
13 37 47 11 42
5 2 5
1 9 4 6 7

6 2 6
1 3 5 8 9 10
  */

Subtask #1

15.0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	27 ms	47304 KB	Output is correct
2	Correct	28 ms	47300 KB	Output is correct
3	Correct	28 ms	47308 KB	Output is correct
4	Correct	27 ms	47312 KB	Output is correct
5	Correct	28 ms	47296 KB	Output is correct
6	Correct	27 ms	47284 KB	Output is correct
7	Correct	29 ms	47288 KB	Output is correct
8	Correct	27 ms	47308 KB	Output is correct
9	Correct	27 ms	47208 KB	Output is correct
10	Correct	28 ms	47308 KB	Output is correct
11	Correct	27 ms	47284 KB	Output is correct

Subtask #2

10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	27 ms	47180 KB	Output is correct
2	Correct	125 ms	58796 KB	Output is correct
3	Correct	118 ms	61440 KB	Output is correct
4	Correct	122 ms	64796 KB	Output is correct
5	Correct	119 ms	63732 KB	Output is correct
6	Correct	118 ms	64696 KB	Output is correct
7	Correct	162 ms	108468 KB	Output is correct
8	Correct	142 ms	66752 KB	Output is correct

Subtask #3

20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	27 ms	47304 KB	Output is correct
2	Correct	28 ms	47300 KB	Output is correct
3	Correct	28 ms	47308 KB	Output is correct
4	Correct	27 ms	47312 KB	Output is correct
5	Correct	28 ms	47296 KB	Output is correct
6	Correct	27 ms	47284 KB	Output is correct
7	Correct	29 ms	47288 KB	Output is correct
8	Correct	27 ms	47308 KB	Output is correct
9	Correct	27 ms	47208 KB	Output is correct
10	Correct	28 ms	47308 KB	Output is correct
11	Correct	27 ms	47284 KB	Output is correct
12	Correct	28 ms	47292 KB	Output is correct
13	Correct	27 ms	47220 KB	Output is correct
14	Correct	27 ms	47308 KB	Output is correct
15	Correct	27 ms	47308 KB	Output is correct
16	Correct	27 ms	47284 KB	Output is correct
17	Correct	28 ms	47268 KB	Output is correct
18	Correct	27 ms	47308 KB	Output is correct
19	Correct	28 ms	47316 KB	Output is correct
20	Correct	28 ms	47220 KB	Output is correct
21	Correct	31 ms	47308 KB	Output is correct
22	Correct	27 ms	47232 KB	Output is correct
23	Correct	28 ms	47416 KB	Output is correct
24	Correct	28 ms	47428 KB	Output is correct
25	Correct	29 ms	47372 KB	Output is correct
26	Correct	29 ms	47328 KB	Output is correct
27	Correct	28 ms	47436 KB	Output is correct
28	Correct	28 ms	47564 KB	Output is correct
29	Correct	28 ms	47404 KB	Output is correct
30	Correct	28 ms	47412 KB	Output is correct
31	Correct	28 ms	47436 KB	Output is correct
32	Correct	28 ms	47428 KB	Output is correct
33	Correct	28 ms	47304 KB	Output is correct
34	Correct	28 ms	47408 KB	Output is correct
35	Correct	28 ms	47436 KB	Output is correct

Subtask #4

10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	28 ms	47264 KB	Output is correct
2	Correct	45 ms	49404 KB	Output is correct
3	Correct	43 ms	49768 KB	Output is correct
4	Correct	44 ms	52348 KB	Output is correct
5	Correct	52 ms	53956 KB	Output is correct
6	Correct	45 ms	54012 KB	Output is correct
7	Correct	41 ms	49988 KB	Output is correct
8	Correct	42 ms	49592 KB	Output is correct
9	Correct	47 ms	56472 KB	Output is correct
10	Correct	39 ms	49272 KB	Output is correct

Subtask #5

25.0 / 25.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	27 ms	47304 KB	Output is correct
2	Correct	28 ms	47300 KB	Output is correct
3	Correct	28 ms	47308 KB	Output is correct
4	Correct	27 ms	47312 KB	Output is correct
5	Correct	28 ms	47296 KB	Output is correct
6	Correct	27 ms	47284 KB	Output is correct
7	Correct	29 ms	47288 KB	Output is correct
8	Correct	27 ms	47308 KB	Output is correct
9	Correct	27 ms	47208 KB	Output is correct
10	Correct	28 ms	47308 KB	Output is correct
11	Correct	27 ms	47284 KB	Output is correct
12	Correct	28 ms	47292 KB	Output is correct
13	Correct	27 ms	47220 KB	Output is correct
14	Correct	27 ms	47308 KB	Output is correct
15	Correct	27 ms	47308 KB	Output is correct
16	Correct	27 ms	47284 KB	Output is correct
17	Correct	28 ms	47268 KB	Output is correct
18	Correct	27 ms	47308 KB	Output is correct
19	Correct	28 ms	47316 KB	Output is correct
20	Correct	28 ms	47220 KB	Output is correct
21	Correct	31 ms	47308 KB	Output is correct
22	Correct	27 ms	47232 KB	Output is correct
23	Correct	28 ms	47416 KB	Output is correct
24	Correct	28 ms	47428 KB	Output is correct
25	Correct	29 ms	47372 KB	Output is correct
26	Correct	29 ms	47328 KB	Output is correct
27	Correct	28 ms	47436 KB	Output is correct
28	Correct	28 ms	47564 KB	Output is correct
29	Correct	28 ms	47404 KB	Output is correct
30	Correct	28 ms	47412 KB	Output is correct
31	Correct	28 ms	47436 KB	Output is correct
32	Correct	28 ms	47428 KB	Output is correct
33	Correct	28 ms	47304 KB	Output is correct
34	Correct	28 ms	47408 KB	Output is correct
35	Correct	28 ms	47436 KB	Output is correct
36	Correct	28 ms	47264 KB	Output is correct
37	Correct	45 ms	49404 KB	Output is correct
38	Correct	43 ms	49768 KB	Output is correct
39	Correct	44 ms	52348 KB	Output is correct
40	Correct	52 ms	53956 KB	Output is correct
41	Correct	45 ms	54012 KB	Output is correct
42	Correct	41 ms	49988 KB	Output is correct
43	Correct	42 ms	49592 KB	Output is correct
44	Correct	47 ms	56472 KB	Output is correct
45	Correct	39 ms	49272 KB	Output is correct
46	Correct	28 ms	47236 KB	Output is correct
47	Correct	28 ms	47284 KB	Output is correct
48	Correct	28 ms	47224 KB	Output is correct
49	Correct	28 ms	47224 KB	Output is correct
50	Correct	29 ms	47288 KB	Output is correct
51	Correct	27 ms	47300 KB	Output is correct
52	Correct	29 ms	47264 KB	Output is correct
53	Correct	29 ms	47212 KB	Output is correct
54	Correct	28 ms	47272 KB	Output is correct
55	Correct	27 ms	47268 KB	Output is correct
56	Correct	28 ms	47280 KB	Output is correct
57	Correct	28 ms	47344 KB	Output is correct
58	Correct	29 ms	47360 KB	Output is correct
59	Correct	33 ms	47400 KB	Output is correct
60	Correct	28 ms	47424 KB	Output is correct
61	Correct	30 ms	47444 KB	Output is correct
62	Correct	29 ms	47344 KB	Output is correct
63	Correct	28 ms	47344 KB	Output is correct
64	Correct	28 ms	47368 KB	Output is correct
65	Correct	28 ms	47372 KB	Output is correct
66	Correct	28 ms	47300 KB	Output is correct
67	Correct	28 ms	47404 KB	Output is correct
68	Correct	28 ms	47436 KB	Output is correct
69	Correct	35 ms	47460 KB	Output is correct
70	Correct	27 ms	47308 KB	Output is correct
71	Correct	44 ms	50064 KB	Output is correct
72	Correct	44 ms	49764 KB	Output is correct
73	Correct	43 ms	52420 KB	Output is correct
74	Correct	44 ms	53800 KB	Output is correct
75	Correct	45 ms	53944 KB	Output is correct
76	Correct	39 ms	49968 KB	Output is correct
77	Correct	41 ms	49724 KB	Output is correct
78	Correct	46 ms	56388 KB	Output is correct
79	Correct	41 ms	49396 KB	Output is correct
80	Correct	42 ms	49840 KB	Output is correct
81	Correct	46 ms	50072 KB	Output is correct
82	Correct	42 ms	49860 KB	Output is correct
83	Correct	45 ms	50928 KB	Output is correct
84	Correct	42 ms	49604 KB	Output is correct
85	Correct	47 ms	54204 KB	Output is correct
86	Correct	44 ms	50996 KB	Output is correct
87	Correct	42 ms	49356 KB	Output is correct
88	Correct	44 ms	54848 KB	Output is correct
89	Correct	48 ms	56088 KB	Output is correct
90	Correct	46 ms	53660 KB	Output is correct

Subtask #6

20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	27 ms	47304 KB	Output is correct
2	Correct	28 ms	47300 KB	Output is correct
3	Correct	28 ms	47308 KB	Output is correct
4	Correct	27 ms	47312 KB	Output is correct
5	Correct	28 ms	47296 KB	Output is correct
6	Correct	27 ms	47284 KB	Output is correct
7	Correct	29 ms	47288 KB	Output is correct
8	Correct	27 ms	47308 KB	Output is correct
9	Correct	27 ms	47208 KB	Output is correct
10	Correct	28 ms	47308 KB	Output is correct
11	Correct	27 ms	47284 KB	Output is correct
12	Correct	27 ms	47180 KB	Output is correct
13	Correct	125 ms	58796 KB	Output is correct
14	Correct	118 ms	61440 KB	Output is correct
15	Correct	122 ms	64796 KB	Output is correct
16	Correct	119 ms	63732 KB	Output is correct
17	Correct	118 ms	64696 KB	Output is correct
18	Correct	162 ms	108468 KB	Output is correct
19	Correct	142 ms	66752 KB	Output is correct
20	Correct	28 ms	47292 KB	Output is correct
21	Correct	27 ms	47220 KB	Output is correct
22	Correct	27 ms	47308 KB	Output is correct
23	Correct	27 ms	47308 KB	Output is correct
24	Correct	27 ms	47284 KB	Output is correct
25	Correct	28 ms	47268 KB	Output is correct
26	Correct	27 ms	47308 KB	Output is correct
27	Correct	28 ms	47316 KB	Output is correct
28	Correct	28 ms	47220 KB	Output is correct
29	Correct	31 ms	47308 KB	Output is correct
30	Correct	27 ms	47232 KB	Output is correct
31	Correct	28 ms	47416 KB	Output is correct
32	Correct	28 ms	47428 KB	Output is correct
33	Correct	29 ms	47372 KB	Output is correct
34	Correct	29 ms	47328 KB	Output is correct
35	Correct	28 ms	47436 KB	Output is correct
36	Correct	28 ms	47564 KB	Output is correct
37	Correct	28 ms	47404 KB	Output is correct
38	Correct	28 ms	47412 KB	Output is correct
39	Correct	28 ms	47436 KB	Output is correct
40	Correct	28 ms	47428 KB	Output is correct
41	Correct	28 ms	47304 KB	Output is correct
42	Correct	28 ms	47408 KB	Output is correct
43	Correct	28 ms	47436 KB	Output is correct
44	Correct	28 ms	47264 KB	Output is correct
45	Correct	45 ms	49404 KB	Output is correct
46	Correct	43 ms	49768 KB	Output is correct
47	Correct	44 ms	52348 KB	Output is correct
48	Correct	52 ms	53956 KB	Output is correct
49	Correct	45 ms	54012 KB	Output is correct
50	Correct	41 ms	49988 KB	Output is correct
51	Correct	42 ms	49592 KB	Output is correct
52	Correct	47 ms	56472 KB	Output is correct
53	Correct	39 ms	49272 KB	Output is correct
54	Correct	28 ms	47236 KB	Output is correct
55	Correct	28 ms	47284 KB	Output is correct
56	Correct	28 ms	47224 KB	Output is correct
57	Correct	28 ms	47224 KB	Output is correct
58	Correct	29 ms	47288 KB	Output is correct
59	Correct	27 ms	47300 KB	Output is correct
60	Correct	29 ms	47264 KB	Output is correct
61	Correct	29 ms	47212 KB	Output is correct
62	Correct	28 ms	47272 KB	Output is correct
63	Correct	27 ms	47268 KB	Output is correct
64	Correct	28 ms	47280 KB	Output is correct
65	Correct	28 ms	47344 KB	Output is correct
66	Correct	29 ms	47360 KB	Output is correct
67	Correct	33 ms	47400 KB	Output is correct
68	Correct	28 ms	47424 KB	Output is correct
69	Correct	30 ms	47444 KB	Output is correct
70	Correct	29 ms	47344 KB	Output is correct
71	Correct	28 ms	47344 KB	Output is correct
72	Correct	28 ms	47368 KB	Output is correct
73	Correct	28 ms	47372 KB	Output is correct
74	Correct	28 ms	47300 KB	Output is correct
75	Correct	28 ms	47404 KB	Output is correct
76	Correct	28 ms	47436 KB	Output is correct
77	Correct	35 ms	47460 KB	Output is correct
78	Correct	27 ms	47308 KB	Output is correct
79	Correct	44 ms	50064 KB	Output is correct
80	Correct	44 ms	49764 KB	Output is correct
81	Correct	43 ms	52420 KB	Output is correct
82	Correct	44 ms	53800 KB	Output is correct
83	Correct	45 ms	53944 KB	Output is correct
84	Correct	39 ms	49968 KB	Output is correct
85	Correct	41 ms	49724 KB	Output is correct
86	Correct	46 ms	56388 KB	Output is correct
87	Correct	41 ms	49396 KB	Output is correct
88	Correct	42 ms	49840 KB	Output is correct
89	Correct	46 ms	50072 KB	Output is correct
90	Correct	42 ms	49860 KB	Output is correct
91	Correct	45 ms	50928 KB	Output is correct
92	Correct	42 ms	49604 KB	Output is correct
93	Correct	47 ms	54204 KB	Output is correct
94	Correct	44 ms	50996 KB	Output is correct
95	Correct	42 ms	49356 KB	Output is correct
96	Correct	44 ms	54848 KB	Output is correct
97	Correct	48 ms	56088 KB	Output is correct
98	Correct	46 ms	53660 KB	Output is correct
99	Correct	28 ms	47172 KB	Output is correct
100	Correct	26 ms	47200 KB	Output is correct
101	Correct	30 ms	47312 KB	Output is correct
102	Correct	30 ms	47276 KB	Output is correct
103	Correct	29 ms	47260 KB	Output is correct
104	Correct	30 ms	47264 KB	Output is correct
105	Correct	28 ms	47308 KB	Output is correct
106	Correct	27 ms	47272 KB	Output is correct
107	Correct	27 ms	47288 KB	Output is correct
108	Correct	28 ms	47308 KB	Output is correct
109	Correct	28 ms	47180 KB	Output is correct
110	Correct	27 ms	47308 KB	Output is correct
111	Correct	125 ms	63632 KB	Output is correct
112	Correct	118 ms	61404 KB	Output is correct
113	Correct	126 ms	64828 KB	Output is correct
114	Correct	118 ms	63916 KB	Output is correct
115	Correct	133 ms	64556 KB	Output is correct
116	Correct	194 ms	108428 KB	Output is correct
117	Correct	131 ms	66860 KB	Output is correct
118	Correct	29 ms	47436 KB	Output is correct
119	Correct	28 ms	47412 KB	Output is correct
120	Correct	31 ms	47460 KB	Output is correct
121	Correct	28 ms	47424 KB	Output is correct
122	Correct	27 ms	47432 KB	Output is correct
123	Correct	28 ms	47392 KB	Output is correct
124	Correct	29 ms	47372 KB	Output is correct
125	Correct	28 ms	47300 KB	Output is correct
126	Correct	27 ms	47340 KB	Output is correct
127	Correct	29 ms	47328 KB	Output is correct
128	Correct	28 ms	47304 KB	Output is correct
129	Correct	28 ms	47380 KB	Output is correct
130	Correct	28 ms	47336 KB	Output is correct
131	Correct	27 ms	47308 KB	Output is correct
132	Correct	43 ms	50056 KB	Output is correct
133	Correct	43 ms	49744 KB	Output is correct
134	Correct	42 ms	52412 KB	Output is correct
135	Correct	44 ms	53804 KB	Output is correct
136	Correct	45 ms	54084 KB	Output is correct
137	Correct	41 ms	49884 KB	Output is correct
138	Correct	41 ms	49600 KB	Output is correct
139	Correct	46 ms	56356 KB	Output is correct
140	Correct	38 ms	49300 KB	Output is correct
141	Correct	42 ms	49804 KB	Output is correct
142	Correct	43 ms	50120 KB	Output is correct
143	Correct	43 ms	49744 KB	Output is correct
144	Correct	44 ms	50876 KB	Output is correct
145	Correct	42 ms	49604 KB	Output is correct
146	Correct	45 ms	54140 KB	Output is correct
147	Correct	42 ms	50876 KB	Output is correct
148	Correct	41 ms	49456 KB	Output is correct
149	Correct	44 ms	54824 KB	Output is correct
150	Correct	47 ms	56004 KB	Output is correct
151	Correct	44 ms	53700 KB	Output is correct
152	Correct	438 ms	113056 KB	Output is correct
153	Correct	433 ms	115888 KB	Output is correct
154	Correct	421 ms	110596 KB	Output is correct
155	Correct	468 ms	145592 KB	Output is correct
156	Correct	393 ms	112832 KB	Output is correct
157	Correct	379 ms	98956 KB	Output is correct
158	Correct	413 ms	130932 KB	Output is correct
159	Correct	547 ms	235680 KB	Output is correct
160	Correct	539 ms	214584 KB	Output is correct
161	Correct	353 ms	97332 KB	Output is correct
162	Correct	361 ms	101376 KB	Output is correct