답안 #575823

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
575823	2022-06-11T10:23:48 Z	jiahng	The short shank; Redemption (BOI21_prison)	C++14	100 / 100	432 ms	221856 KB

prison

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

typedef long long ll;
//~ #define ll int
#define int ll
typedef pair<int32_t, int32_t> pi;
typedef vector <int> vi;
typedef vector <pi> vpi;
typedef pair<pi, ll> pii;
typedef set <ll> si;
typedef long double ld;
#define f first
#define s second
#define mp make_pair
#define FOR(i,s,e) for(int i=s;i<=int(e);++i)
#define DEC(i,s,e) for(int i=s;i>=int(e);--i)
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define lbd(x, y) lower_bound(all(x), y)
#define ubd(x, y) upper_bound(all(x), y)
#define aFOR(i,x) for (auto i: x)
#define mem(x,i) memset(x,i,sizeof x)
#define fast ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define maxn 2000001
#define INF 1e9
#define MOD 1000000007
typedef pair <vi, int> pvi;
typedef pair <int,pi> ipi;
typedef vector <pii> vpii;

int N,D,T,A[maxn],L[maxn];
int pre[maxn]; // closest which covers it
bool spec[maxn];
vi adj[maxn];


int depth[maxn];
void dfs(int x){
	aFOR(i,adj[x]){
		depth[i] = depth[x] + 1; dfs(i);
	}
}
int nxt[maxn]; bool del[maxn];
pi mxdepth[maxn];

int32_t main(){
    fast;
    cin >> N >> D >> T;
    FOR(i,1,N) cin >> A[i];
    //~ stack <pi> sta;
    // j covers i if A[j] + i - j <= T
    // A[j] + j <= T - i
    // increasing stack
    
    //~ FOR(i,1,N){
		//~ while (!sta.empty() && sta.top().f >= A[i] - i) sta.pop();
		//~ sta.push(pi(A[i] - i, i));
		//~ while (!sta.empty() && sta.top().f > T - i) sta.pop();
		//~ if (!sta.empty()) pre[i] = sta.top().s;
	//~ }

    int mn = INF;
    int ans = 0; //number which will rebel (covered)
    
    FOR(i,1,N){
		mn = min(mn, A[i] - i);
		if (A[i] > T && mn <= T - i) spec[i] = 1;
		if (mn <= T - i) ans++; // will rebel if no barriers
	}
	//~ cout << ans << '\n';
	mn = INF;
	stack <pi> sta;
	FOR(i,1,N) nxt[i] = N+1;
	FOR(i,1,N){
		while (!spec[i] && i <= N) i++;
		if (i > N) break;
		
		int mn = A[i] - i;
		for (int j = i+1; j <= N && !spec[j]; j++) mn = min(mn, A[j] - j);
		

		while (!sta.empty() && sta.top().f > T - i){
			pi x = sta.top(); sta.pop();
			nxt[x.s] = i; adj[i].pb(x.s);
			//~ cout << i << ' ' << x.s << '\n';
		}
		sta.push(pi(mn, i));
		mn = INF;
	}

	DEC(i,N,1) if (spec[i] && depth[i] == 0){
		depth[i] = 1; dfs(i);
	}
	
	FOR(i,1,N) if (spec[i]){
		mxdepth[i] = pi(1, i);
		aFOR(j,adj[i]) mxdepth[i] = max(mxdepth[i], pi(mxdepth[j].f+1, mxdepth[j].s));
	}
	set <pi> roots;
	FOR(i,1,N) if (nxt[i] > N && spec[i]) roots.insert(pi(mxdepth[i].f, i));
	
	FOR(i,1,D){
		if (roots.empty()) break;
		int optRoot = roots.rbegin()->s; roots.erase(--roots.end());
		int opt = mxdepth[optRoot].s;
		
		ans -= mxdepth[optRoot].f;
		
		for (int x = opt; x <= N && !del[x]; x = nxt[x]){
			del[x] = 1;
			aFOR(j, adj[x]) if (!del[j]) roots.insert(pi(mxdepth[j].f, j));
		}
	}
	cout << ans;
		
	
	
}

Subtask #1

15.0 / 15.0

#	결과	실행 시간	메모리	Grader output
1	Correct	24 ms	47312 KB	Output is correct
2	Correct	24 ms	47296 KB	Output is correct
3	Correct	24 ms	47368 KB	Output is correct
4	Correct	25 ms	47316 KB	Output is correct
5	Correct	24 ms	47344 KB	Output is correct
6	Correct	24 ms	47240 KB	Output is correct
7	Correct	27 ms	47268 KB	Output is correct
8	Correct	25 ms	47296 KB	Output is correct
9	Correct	27 ms	47316 KB	Output is correct
10	Correct	25 ms	47272 KB	Output is correct
11	Correct	25 ms	47316 KB	Output is correct

Subtask #2

10.0 / 10.0

#	결과	실행 시간	메모리	Grader output
1	Correct	26 ms	47332 KB	Output is correct
2	Correct	130 ms	75336 KB	Output is correct
3	Correct	108 ms	76344 KB	Output is correct
4	Correct	109 ms	78668 KB	Output is correct
5	Correct	92 ms	75256 KB	Output is correct
6	Correct	107 ms	75624 KB	Output is correct
7	Correct	105 ms	96424 KB	Output is correct
8	Correct	113 ms	79520 KB	Output is correct

Subtask #3

20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	24 ms	47312 KB	Output is correct
2	Correct	24 ms	47296 KB	Output is correct
3	Correct	24 ms	47368 KB	Output is correct
4	Correct	25 ms	47316 KB	Output is correct
5	Correct	24 ms	47344 KB	Output is correct
6	Correct	24 ms	47240 KB	Output is correct
7	Correct	27 ms	47268 KB	Output is correct
8	Correct	25 ms	47296 KB	Output is correct
9	Correct	27 ms	47316 KB	Output is correct
10	Correct	25 ms	47272 KB	Output is correct
11	Correct	25 ms	47316 KB	Output is correct
12	Correct	24 ms	47300 KB	Output is correct
13	Correct	24 ms	47344 KB	Output is correct
14	Correct	28 ms	47316 KB	Output is correct
15	Correct	25 ms	47284 KB	Output is correct
16	Correct	27 ms	47224 KB	Output is correct
17	Correct	28 ms	47288 KB	Output is correct
18	Correct	24 ms	47252 KB	Output is correct
19	Correct	25 ms	47300 KB	Output is correct
20	Correct	24 ms	47244 KB	Output is correct
21	Correct	27 ms	47284 KB	Output is correct
22	Correct	24 ms	47304 KB	Output is correct
23	Correct	25 ms	47516 KB	Output is correct
24	Correct	26 ms	47556 KB	Output is correct
25	Correct	29 ms	47556 KB	Output is correct
26	Correct	25 ms	47568 KB	Output is correct
27	Correct	25 ms	47572 KB	Output is correct
28	Correct	24 ms	47572 KB	Output is correct
29	Correct	26 ms	47544 KB	Output is correct
30	Correct	25 ms	47560 KB	Output is correct
31	Correct	26 ms	47572 KB	Output is correct
32	Correct	25 ms	47572 KB	Output is correct
33	Correct	26 ms	47568 KB	Output is correct
34	Correct	26 ms	47532 KB	Output is correct
35	Correct	25 ms	47588 KB	Output is correct

Subtask #4

10.0 / 10.0

#	결과	실행 시간	메모리	Grader output
1	Correct	24 ms	47276 KB	Output is correct
2	Correct	38 ms	52484 KB	Output is correct
3	Correct	38 ms	52120 KB	Output is correct
4	Correct	35 ms	52764 KB	Output is correct
5	Correct	36 ms	53124 KB	Output is correct
6	Correct	35 ms	53240 KB	Output is correct
7	Correct	34 ms	51440 KB	Output is correct
8	Correct	35 ms	51152 KB	Output is correct
9	Correct	36 ms	54596 KB	Output is correct
10	Correct	39 ms	52020 KB	Output is correct

Subtask #5

25.0 / 25.0

#	결과	실행 시간	메모리	Grader output
1	Correct	24 ms	47312 KB	Output is correct
2	Correct	24 ms	47296 KB	Output is correct
3	Correct	24 ms	47368 KB	Output is correct
4	Correct	25 ms	47316 KB	Output is correct
5	Correct	24 ms	47344 KB	Output is correct
6	Correct	24 ms	47240 KB	Output is correct
7	Correct	27 ms	47268 KB	Output is correct
8	Correct	25 ms	47296 KB	Output is correct
9	Correct	27 ms	47316 KB	Output is correct
10	Correct	25 ms	47272 KB	Output is correct
11	Correct	25 ms	47316 KB	Output is correct
12	Correct	24 ms	47300 KB	Output is correct
13	Correct	24 ms	47344 KB	Output is correct
14	Correct	28 ms	47316 KB	Output is correct
15	Correct	25 ms	47284 KB	Output is correct
16	Correct	27 ms	47224 KB	Output is correct
17	Correct	28 ms	47288 KB	Output is correct
18	Correct	24 ms	47252 KB	Output is correct
19	Correct	25 ms	47300 KB	Output is correct
20	Correct	24 ms	47244 KB	Output is correct
21	Correct	27 ms	47284 KB	Output is correct
22	Correct	24 ms	47304 KB	Output is correct
23	Correct	25 ms	47516 KB	Output is correct
24	Correct	26 ms	47556 KB	Output is correct
25	Correct	29 ms	47556 KB	Output is correct
26	Correct	25 ms	47568 KB	Output is correct
27	Correct	25 ms	47572 KB	Output is correct
28	Correct	24 ms	47572 KB	Output is correct
29	Correct	26 ms	47544 KB	Output is correct
30	Correct	25 ms	47560 KB	Output is correct
31	Correct	26 ms	47572 KB	Output is correct
32	Correct	25 ms	47572 KB	Output is correct
33	Correct	26 ms	47568 KB	Output is correct
34	Correct	26 ms	47532 KB	Output is correct
35	Correct	25 ms	47588 KB	Output is correct
36	Correct	24 ms	47276 KB	Output is correct
37	Correct	38 ms	52484 KB	Output is correct
38	Correct	38 ms	52120 KB	Output is correct
39	Correct	35 ms	52764 KB	Output is correct
40	Correct	36 ms	53124 KB	Output is correct
41	Correct	35 ms	53240 KB	Output is correct
42	Correct	34 ms	51440 KB	Output is correct
43	Correct	35 ms	51152 KB	Output is correct
44	Correct	36 ms	54596 KB	Output is correct
45	Correct	39 ms	52020 KB	Output is correct
46	Correct	26 ms	47296 KB	Output is correct
47	Correct	23 ms	47316 KB	Output is correct
48	Correct	25 ms	47316 KB	Output is correct
49	Correct	25 ms	47316 KB	Output is correct
50	Correct	25 ms	47276 KB	Output is correct
51	Correct	25 ms	47288 KB	Output is correct
52	Correct	27 ms	47336 KB	Output is correct
53	Correct	24 ms	47316 KB	Output is correct
54	Correct	24 ms	47288 KB	Output is correct
55	Correct	24 ms	47304 KB	Output is correct
56	Correct	24 ms	47304 KB	Output is correct
57	Correct	25 ms	47552 KB	Output is correct
58	Correct	28 ms	47472 KB	Output is correct
59	Correct	25 ms	47600 KB	Output is correct
60	Correct	24 ms	47572 KB	Output is correct
61	Correct	25 ms	47560 KB	Output is correct
62	Correct	26 ms	47552 KB	Output is correct
63	Correct	25 ms	47572 KB	Output is correct
64	Correct	27 ms	47500 KB	Output is correct
65	Correct	26 ms	47572 KB	Output is correct
66	Correct	26 ms	47564 KB	Output is correct
67	Correct	25 ms	47572 KB	Output is correct
68	Correct	25 ms	47568 KB	Output is correct
69	Correct	29 ms	47664 KB	Output is correct
70	Correct	26 ms	47336 KB	Output is correct
71	Correct	40 ms	52356 KB	Output is correct
72	Correct	41 ms	52044 KB	Output is correct
73	Correct	40 ms	52792 KB	Output is correct
74	Correct	42 ms	53068 KB	Output is correct
75	Correct	37 ms	53276 KB	Output is correct
76	Correct	36 ms	51404 KB	Output is correct
77	Correct	36 ms	51020 KB	Output is correct
78	Correct	36 ms	54620 KB	Output is correct
79	Correct	37 ms	52124 KB	Output is correct
80	Correct	37 ms	52184 KB	Output is correct
81	Correct	39 ms	52412 KB	Output is correct
82	Correct	40 ms	52172 KB	Output is correct
83	Correct	39 ms	52448 KB	Output is correct
84	Correct	37 ms	51644 KB	Output is correct
85	Correct	38 ms	53580 KB	Output is correct
86	Correct	38 ms	52360 KB	Output is correct
87	Correct	37 ms	51296 KB	Output is correct
88	Correct	34 ms	53764 KB	Output is correct
89	Correct	38 ms	54476 KB	Output is correct
90	Correct	40 ms	53692 KB	Output is correct

Subtask #6

20.0 / 20.0

#	결과	실행 시간	메모리	Grader output
1	Correct	24 ms	47312 KB	Output is correct
2	Correct	24 ms	47296 KB	Output is correct
3	Correct	24 ms	47368 KB	Output is correct
4	Correct	25 ms	47316 KB	Output is correct
5	Correct	24 ms	47344 KB	Output is correct
6	Correct	24 ms	47240 KB	Output is correct
7	Correct	27 ms	47268 KB	Output is correct
8	Correct	25 ms	47296 KB	Output is correct
9	Correct	27 ms	47316 KB	Output is correct
10	Correct	25 ms	47272 KB	Output is correct
11	Correct	25 ms	47316 KB	Output is correct
12	Correct	26 ms	47332 KB	Output is correct
13	Correct	130 ms	75336 KB	Output is correct
14	Correct	108 ms	76344 KB	Output is correct
15	Correct	109 ms	78668 KB	Output is correct
16	Correct	92 ms	75256 KB	Output is correct
17	Correct	107 ms	75624 KB	Output is correct
18	Correct	105 ms	96424 KB	Output is correct
19	Correct	113 ms	79520 KB	Output is correct
20	Correct	24 ms	47300 KB	Output is correct
21	Correct	24 ms	47344 KB	Output is correct
22	Correct	28 ms	47316 KB	Output is correct
23	Correct	25 ms	47284 KB	Output is correct
24	Correct	27 ms	47224 KB	Output is correct
25	Correct	28 ms	47288 KB	Output is correct
26	Correct	24 ms	47252 KB	Output is correct
27	Correct	25 ms	47300 KB	Output is correct
28	Correct	24 ms	47244 KB	Output is correct
29	Correct	27 ms	47284 KB	Output is correct
30	Correct	24 ms	47304 KB	Output is correct
31	Correct	25 ms	47516 KB	Output is correct
32	Correct	26 ms	47556 KB	Output is correct
33	Correct	29 ms	47556 KB	Output is correct
34	Correct	25 ms	47568 KB	Output is correct
35	Correct	25 ms	47572 KB	Output is correct
36	Correct	24 ms	47572 KB	Output is correct
37	Correct	26 ms	47544 KB	Output is correct
38	Correct	25 ms	47560 KB	Output is correct
39	Correct	26 ms	47572 KB	Output is correct
40	Correct	25 ms	47572 KB	Output is correct
41	Correct	26 ms	47568 KB	Output is correct
42	Correct	26 ms	47532 KB	Output is correct
43	Correct	25 ms	47588 KB	Output is correct
44	Correct	24 ms	47276 KB	Output is correct
45	Correct	38 ms	52484 KB	Output is correct
46	Correct	38 ms	52120 KB	Output is correct
47	Correct	35 ms	52764 KB	Output is correct
48	Correct	36 ms	53124 KB	Output is correct
49	Correct	35 ms	53240 KB	Output is correct
50	Correct	34 ms	51440 KB	Output is correct
51	Correct	35 ms	51152 KB	Output is correct
52	Correct	36 ms	54596 KB	Output is correct
53	Correct	39 ms	52020 KB	Output is correct
54	Correct	26 ms	47296 KB	Output is correct
55	Correct	23 ms	47316 KB	Output is correct
56	Correct	25 ms	47316 KB	Output is correct
57	Correct	25 ms	47316 KB	Output is correct
58	Correct	25 ms	47276 KB	Output is correct
59	Correct	25 ms	47288 KB	Output is correct
60	Correct	27 ms	47336 KB	Output is correct
61	Correct	24 ms	47316 KB	Output is correct
62	Correct	24 ms	47288 KB	Output is correct
63	Correct	24 ms	47304 KB	Output is correct
64	Correct	24 ms	47304 KB	Output is correct
65	Correct	25 ms	47552 KB	Output is correct
66	Correct	28 ms	47472 KB	Output is correct
67	Correct	25 ms	47600 KB	Output is correct
68	Correct	24 ms	47572 KB	Output is correct
69	Correct	25 ms	47560 KB	Output is correct
70	Correct	26 ms	47552 KB	Output is correct
71	Correct	25 ms	47572 KB	Output is correct
72	Correct	27 ms	47500 KB	Output is correct
73	Correct	26 ms	47572 KB	Output is correct
74	Correct	26 ms	47564 KB	Output is correct
75	Correct	25 ms	47572 KB	Output is correct
76	Correct	25 ms	47568 KB	Output is correct
77	Correct	29 ms	47664 KB	Output is correct
78	Correct	26 ms	47336 KB	Output is correct
79	Correct	40 ms	52356 KB	Output is correct
80	Correct	41 ms	52044 KB	Output is correct
81	Correct	40 ms	52792 KB	Output is correct
82	Correct	42 ms	53068 KB	Output is correct
83	Correct	37 ms	53276 KB	Output is correct
84	Correct	36 ms	51404 KB	Output is correct
85	Correct	36 ms	51020 KB	Output is correct
86	Correct	36 ms	54620 KB	Output is correct
87	Correct	37 ms	52124 KB	Output is correct
88	Correct	37 ms	52184 KB	Output is correct
89	Correct	39 ms	52412 KB	Output is correct
90	Correct	40 ms	52172 KB	Output is correct
91	Correct	39 ms	52448 KB	Output is correct
92	Correct	37 ms	51644 KB	Output is correct
93	Correct	38 ms	53580 KB	Output is correct
94	Correct	38 ms	52360 KB	Output is correct
95	Correct	37 ms	51296 KB	Output is correct
96	Correct	34 ms	53764 KB	Output is correct
97	Correct	38 ms	54476 KB	Output is correct
98	Correct	40 ms	53692 KB	Output is correct
99	Correct	24 ms	47228 KB	Output is correct
100	Correct	25 ms	47312 KB	Output is correct
101	Correct	26 ms	47340 KB	Output is correct
102	Correct	31 ms	47356 KB	Output is correct
103	Correct	25 ms	47296 KB	Output is correct
104	Correct	25 ms	47360 KB	Output is correct
105	Correct	26 ms	47296 KB	Output is correct
106	Correct	25 ms	47316 KB	Output is correct
107	Correct	25 ms	47300 KB	Output is correct
108	Correct	25 ms	47308 KB	Output is correct
109	Correct	25 ms	47240 KB	Output is correct
110	Correct	25 ms	47296 KB	Output is correct
111	Correct	120 ms	79044 KB	Output is correct
112	Correct	107 ms	76240 KB	Output is correct
113	Correct	114 ms	78744 KB	Output is correct
114	Correct	94 ms	75216 KB	Output is correct
115	Correct	105 ms	75676 KB	Output is correct
116	Correct	105 ms	96464 KB	Output is correct
117	Correct	111 ms	79504 KB	Output is correct
118	Correct	30 ms	47564 KB	Output is correct
119	Correct	25 ms	47576 KB	Output is correct
120	Correct	26 ms	47568 KB	Output is correct
121	Correct	25 ms	47572 KB	Output is correct
122	Correct	25 ms	47608 KB	Output is correct
123	Correct	25 ms	47564 KB	Output is correct
124	Correct	25 ms	47484 KB	Output is correct
125	Correct	25 ms	47512 KB	Output is correct
126	Correct	25 ms	47460 KB	Output is correct
127	Correct	29 ms	47580 KB	Output is correct
128	Correct	27 ms	47540 KB	Output is correct
129	Correct	25 ms	47564 KB	Output is correct
130	Correct	25 ms	47476 KB	Output is correct
131	Correct	24 ms	47316 KB	Output is correct
132	Correct	37 ms	52328 KB	Output is correct
133	Correct	39 ms	52028 KB	Output is correct
134	Correct	37 ms	52796 KB	Output is correct
135	Correct	36 ms	53076 KB	Output is correct
136	Correct	37 ms	53324 KB	Output is correct
137	Correct	36 ms	51328 KB	Output is correct
138	Correct	38 ms	51148 KB	Output is correct
139	Correct	41 ms	54544 KB	Output is correct
140	Correct	37 ms	52064 KB	Output is correct
141	Correct	38 ms	52084 KB	Output is correct
142	Correct	39 ms	52428 KB	Output is correct
143	Correct	38 ms	52180 KB	Output is correct
144	Correct	37 ms	52456 KB	Output is correct
145	Correct	36 ms	51560 KB	Output is correct
146	Correct	37 ms	53556 KB	Output is correct
147	Correct	36 ms	52316 KB	Output is correct
148	Correct	36 ms	51252 KB	Output is correct
149	Correct	36 ms	53848 KB	Output is correct
150	Correct	36 ms	54460 KB	Output is correct
151	Correct	36 ms	53792 KB	Output is correct
152	Correct	412 ms	176584 KB	Output is correct
153	Correct	432 ms	179236 KB	Output is correct
154	Correct	422 ms	173752 KB	Output is correct
155	Correct	388 ms	185268 KB	Output is correct
156	Correct	399 ms	168376 KB	Output is correct
157	Correct	334 ms	144360 KB	Output is correct
158	Correct	370 ms	168908 KB	Output is correct
159	Correct	414 ms	221856 KB	Output is correct
160	Correct	427 ms	219764 KB	Output is correct
161	Correct	402 ms	163688 KB	Output is correct
162	Correct	411 ms	166756 KB	Output is correct