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Submission #406018

# Submission time Handle Problem Language Result Execution time Memory
406018 2021-05-17T06:39:00 Z oolimry The short shank; Redemption (BOI21_prison) C++17
100 / 100
 798 ms 280892 KB 
#include <bits/stdc++.h>
using namespace std;
#define all(x) (x).begin(), (x).end()
#define sz(x) ((int) x.size())
#define show(x) cerr << #x << " is " << x << endl;
#define show2(x, y) cerr << #x << " is " << x << ", " << #y << " is " << y << endl;
#define show3(x, y, z) cerr << #x << " is " << x << ", " << #y << " is " << y << ", " << #z << " is " << z << endl;
#define l first
#define r second
typedef long long lint;
typedef pair<lint, lint> ii;

lint arr[2000005];
int p[2000005];
vector<int> child[2000005];
int vis[2000005];
ii maxh[2000005];
int cnt = 0;

void dfs(int u){
	maxh[u] = ii(0, u);
	for(int v : child[u]){
		dfs(v);
		maxh[u] = max(maxh[u], maxh[v]);
	}
	maxh[u].first += 1;
}

priority_queue<ii> pq;

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	
	lint n, S, T; cin >> n >> S >> T;
	for(int i = 1;i <= n;i++) cin >> arr[i];
	
	lint ans = n;
	vector<ii> useful;
	vector<ii> ranges;
	for(int i = 1;i <= n;i++){
		if(arr[i] <= T){
			int reach = min(n, i+T-arr[i]);
			//show2(i, reach);
			while(not useful.empty()){
				if(useful.back().first <= reach) useful.pop_back();
				else break;
			}
			useful.push_back(ii(reach,i));
		}
		else{
			auto it = lower_bound(all(useful), ii(i, -1), greater<ii>());
			if(it != useful.begin()){
				it--;
				ranges.push_back(ii(it->second,i));
			}
			else{
				ans--;
			}
		}
	}
	
	sort(all(ranges), [&](ii a, ii b){
		if(a.l  == b.l) return a.r > b.r;
		else return a.l < b.l;
	});
	
	stack<ii> ST;
	for(ii R : ranges){
		while(not ST.empty()){
			if(ST.top().first <= R.first) ST.pop();
			else break;
		}
		cnt++;
		if(not ST.empty()) p[cnt] = ST.top().second;
		ST.push(ii(R.r, cnt));
	}
	for(int i = 1;i <= cnt;i++) child[p[i]].push_back(i);
	dfs(0);
	
	pq.push(maxh[0]);
	//for(int i = 0;i <= cnt;i++){
	//	show2(maxh[i].first, maxh[i].second);
	//}
	while(S--){
		if(pq.empty()) break;
		ii t = pq.top(); pq.pop();
		ans -= t.first;
		int u = t.second;
		//show2(t.first, u);
		
		while(not vis[u]){
			int par = p[u];
			//show2(u,par);
			vis[u] = true;
			if(vis[par]) break;
			for(int v : child[par]){
				if(v != u){
					pq.push(maxh[v]);
					//show3(u,par,v);
				}
			}
			u = par;			
		}
	}
	
	///potenially ans++ here cause of 0
	ans++;
	cout << ans;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 47308 KB Output is correct
2 Correct 32 ms 47220 KB Output is correct
3 Correct 32 ms 47288 KB Output is correct
4 Correct 31 ms 47300 KB Output is correct
5 Correct 32 ms 47304 KB Output is correct
6 Correct 31 ms 47308 KB Output is correct
7 Correct 32 ms 47300 KB Output is correct
8 Correct 31 ms 47316 KB Output is correct
9 Correct 31 ms 47308 KB Output is correct
10 Correct 32 ms 47348 KB Output is correct
11 Correct 31 ms 47228 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 47292 KB Output is correct
2 Correct 139 ms 68376 KB Output is correct
3 Correct 122 ms 63220 KB Output is correct
4 Correct 136 ms 72144 KB Output is correct
5 Correct 139 ms 72208 KB Output is correct
6 Correct 128 ms 69096 KB Output is correct
7 Correct 183 ms 117676 KB Output is correct
8 Correct 138 ms 72236 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 47308 KB Output is correct
2 Correct 32 ms 47220 KB Output is correct
3 Correct 32 ms 47288 KB Output is correct
4 Correct 31 ms 47300 KB Output is correct
5 Correct 32 ms 47304 KB Output is correct
6 Correct 31 ms 47308 KB Output is correct
7 Correct 32 ms 47300 KB Output is correct
8 Correct 31 ms 47316 KB Output is correct
9 Correct 31 ms 47308 KB Output is correct
10 Correct 32 ms 47348 KB Output is correct
11 Correct 31 ms 47228 KB Output is correct
12 Correct 31 ms 47180 KB Output is correct
13 Correct 32 ms 47224 KB Output is correct
14 Correct 32 ms 47308 KB Output is correct
15 Correct 33 ms 47308 KB Output is correct
16 Correct 31 ms 47332 KB Output is correct
17 Correct 31 ms 47292 KB Output is correct
18 Correct 31 ms 47320 KB Output is correct
19 Correct 31 ms 47320 KB Output is correct
20 Correct 31 ms 47300 KB Output is correct
21 Correct 31 ms 47248 KB Output is correct
22 Correct 31 ms 47268 KB Output is correct
23 Correct 32 ms 47436 KB Output is correct
24 Correct 31 ms 47392 KB Output is correct
25 Correct 31 ms 47504 KB Output is correct
26 Correct 33 ms 47460 KB Output is correct
27 Correct 32 ms 47428 KB Output is correct
28 Correct 32 ms 47364 KB Output is correct
29 Correct 32 ms 47452 KB Output is correct
30 Correct 32 ms 47428 KB Output is correct
31 Correct 33 ms 47476 KB Output is correct
32 Correct 32 ms 47400 KB Output is correct
33 Correct 33 ms 47436 KB Output is correct
34 Correct 32 ms 47460 KB Output is correct
35 Correct 32 ms 47540 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 47192 KB Output is correct
2 Correct 47 ms 51352 KB Output is correct
3 Correct 47 ms 50644 KB Output is correct
4 Correct 52 ms 54488 KB Output is correct
5 Correct 51 ms 55500 KB Output is correct
6 Correct 53 ms 55748 KB Output is correct
7 Correct 45 ms 50552 KB Output is correct
8 Correct 45 ms 50244 KB Output is correct
9 Correct 56 ms 57808 KB Output is correct
10 Correct 45 ms 50644 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 47308 KB Output is correct
2 Correct 32 ms 47220 KB Output is correct
3 Correct 32 ms 47288 KB Output is correct
4 Correct 31 ms 47300 KB Output is correct
5 Correct 32 ms 47304 KB Output is correct
6 Correct 31 ms 47308 KB Output is correct
7 Correct 32 ms 47300 KB Output is correct
8 Correct 31 ms 47316 KB Output is correct
9 Correct 31 ms 47308 KB Output is correct
10 Correct 32 ms 47348 KB Output is correct
11 Correct 31 ms 47228 KB Output is correct
12 Correct 31 ms 47180 KB Output is correct
13 Correct 32 ms 47224 KB Output is correct
14 Correct 32 ms 47308 KB Output is correct
15 Correct 33 ms 47308 KB Output is correct
16 Correct 31 ms 47332 KB Output is correct
17 Correct 31 ms 47292 KB Output is correct
18 Correct 31 ms 47320 KB Output is correct
19 Correct 31 ms 47320 KB Output is correct
20 Correct 31 ms 47300 KB Output is correct
21 Correct 31 ms 47248 KB Output is correct
22 Correct 31 ms 47268 KB Output is correct
23 Correct 32 ms 47436 KB Output is correct
24 Correct 31 ms 47392 KB Output is correct
25 Correct 31 ms 47504 KB Output is correct
26 Correct 33 ms 47460 KB Output is correct
27 Correct 32 ms 47428 KB Output is correct
28 Correct 32 ms 47364 KB Output is correct
29 Correct 32 ms 47452 KB Output is correct
30 Correct 32 ms 47428 KB Output is correct
31 Correct 33 ms 47476 KB Output is correct
32 Correct 32 ms 47400 KB Output is correct
33 Correct 33 ms 47436 KB Output is correct
34 Correct 32 ms 47460 KB Output is correct
35 Correct 32 ms 47540 KB Output is correct
36 Correct 32 ms 47192 KB Output is correct
37 Correct 47 ms 51352 KB Output is correct
38 Correct 47 ms 50644 KB Output is correct
39 Correct 52 ms 54488 KB Output is correct
40 Correct 51 ms 55500 KB Output is correct
41 Correct 53 ms 55748 KB Output is correct
42 Correct 45 ms 50552 KB Output is correct
43 Correct 45 ms 50244 KB Output is correct
44 Correct 56 ms 57808 KB Output is correct
45 Correct 45 ms 50644 KB Output is correct
46 Correct 31 ms 47228 KB Output is correct
47 Correct 31 ms 47316 KB Output is correct
48 Correct 31 ms 47212 KB Output is correct
49 Correct 31 ms 47332 KB Output is correct
50 Correct 31 ms 47308 KB Output is correct
51 Correct 31 ms 47308 KB Output is correct
52 Correct 30 ms 47436 KB Output is correct
53 Correct 32 ms 47248 KB Output is correct
54 Correct 31 ms 47308 KB Output is correct
55 Correct 31 ms 47324 KB Output is correct
56 Correct 31 ms 47200 KB Output is correct
57 Correct 31 ms 47436 KB Output is correct
58 Correct 31 ms 47408 KB Output is correct
59 Correct 32 ms 47532 KB Output is correct
60 Correct 32 ms 47436 KB Output is correct
61 Correct 32 ms 47480 KB Output is correct
62 Correct 31 ms 47436 KB Output is correct
63 Correct 32 ms 47520 KB Output is correct
64 Correct 32 ms 47416 KB Output is correct
65 Correct 32 ms 47484 KB Output is correct
66 Correct 32 ms 47436 KB Output is correct
67 Correct 32 ms 47404 KB Output is correct
68 Correct 33 ms 47580 KB Output is correct
69 Correct 31 ms 47564 KB Output is correct
70 Correct 31 ms 47280 KB Output is correct
71 Correct 48 ms 51408 KB Output is correct
72 Correct 47 ms 50732 KB Output is correct
73 Correct 52 ms 54444 KB Output is correct
74 Correct 51 ms 55588 KB Output is correct
75 Correct 53 ms 55708 KB Output is correct
76 Correct 45 ms 50588 KB Output is correct
77 Correct 45 ms 50304 KB Output is correct
78 Correct 53 ms 57868 KB Output is correct
79 Correct 43 ms 50604 KB Output is correct
80 Correct 47 ms 50752 KB Output is correct
81 Correct 51 ms 51476 KB Output is correct
82 Correct 49 ms 50788 KB Output is correct
83 Correct 50 ms 52704 KB Output is correct
84 Correct 46 ms 51268 KB Output is correct
85 Correct 55 ms 56072 KB Output is correct
86 Correct 49 ms 51948 KB Output is correct
87 Correct 45 ms 50080 KB Output is correct
88 Correct 59 ms 56000 KB Output is correct
89 Correct 53 ms 57416 KB Output is correct
90 Correct 56 ms 55144 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 47308 KB Output is correct
2 Correct 32 ms 47220 KB Output is correct
3 Correct 32 ms 47288 KB Output is correct
4 Correct 31 ms 47300 KB Output is correct
5 Correct 32 ms 47304 KB Output is correct
6 Correct 31 ms 47308 KB Output is correct
7 Correct 32 ms 47300 KB Output is correct
8 Correct 31 ms 47316 KB Output is correct
9 Correct 31 ms 47308 KB Output is correct
10 Correct 32 ms 47348 KB Output is correct
11 Correct 31 ms 47228 KB Output is correct
12 Correct 32 ms 47292 KB Output is correct
13 Correct 139 ms 68376 KB Output is correct
14 Correct 122 ms 63220 KB Output is correct
15 Correct 136 ms 72144 KB Output is correct
16 Correct 139 ms 72208 KB Output is correct
17 Correct 128 ms 69096 KB Output is correct
18 Correct 183 ms 117676 KB Output is correct
19 Correct 138 ms 72236 KB Output is correct
20 Correct 31 ms 47180 KB Output is correct
21 Correct 32 ms 47224 KB Output is correct
22 Correct 32 ms 47308 KB Output is correct
23 Correct 33 ms 47308 KB Output is correct
24 Correct 31 ms 47332 KB Output is correct
25 Correct 31 ms 47292 KB Output is correct
26 Correct 31 ms 47320 KB Output is correct
27 Correct 31 ms 47320 KB Output is correct
28 Correct 31 ms 47300 KB Output is correct
29 Correct 31 ms 47248 KB Output is correct
30 Correct 31 ms 47268 KB Output is correct
31 Correct 32 ms 47436 KB Output is correct
32 Correct 31 ms 47392 KB Output is correct
33 Correct 31 ms 47504 KB Output is correct
34 Correct 33 ms 47460 KB Output is correct
35 Correct 32 ms 47428 KB Output is correct
36 Correct 32 ms 47364 KB Output is correct
37 Correct 32 ms 47452 KB Output is correct
38 Correct 32 ms 47428 KB Output is correct
39 Correct 33 ms 47476 KB Output is correct
40 Correct 32 ms 47400 KB Output is correct
41 Correct 33 ms 47436 KB Output is correct
42 Correct 32 ms 47460 KB Output is correct
43 Correct 32 ms 47540 KB Output is correct
44 Correct 32 ms 47192 KB Output is correct
45 Correct 47 ms 51352 KB Output is correct
46 Correct 47 ms 50644 KB Output is correct
47 Correct 52 ms 54488 KB Output is correct
48 Correct 51 ms 55500 KB Output is correct
49 Correct 53 ms 55748 KB Output is correct
50 Correct 45 ms 50552 KB Output is correct
51 Correct 45 ms 50244 KB Output is correct
52 Correct 56 ms 57808 KB Output is correct
53 Correct 45 ms 50644 KB Output is correct
54 Correct 31 ms 47228 KB Output is correct
55 Correct 31 ms 47316 KB Output is correct
56 Correct 31 ms 47212 KB Output is correct
57 Correct 31 ms 47332 KB Output is correct
58 Correct 31 ms 47308 KB Output is correct
59 Correct 31 ms 47308 KB Output is correct
60 Correct 30 ms 47436 KB Output is correct
61 Correct 32 ms 47248 KB Output is correct
62 Correct 31 ms 47308 KB Output is correct
63 Correct 31 ms 47324 KB Output is correct
64 Correct 31 ms 47200 KB Output is correct
65 Correct 31 ms 47436 KB Output is correct
66 Correct 31 ms 47408 KB Output is correct
67 Correct 32 ms 47532 KB Output is correct
68 Correct 32 ms 47436 KB Output is correct
69 Correct 32 ms 47480 KB Output is correct
70 Correct 31 ms 47436 KB Output is correct
71 Correct 32 ms 47520 KB Output is correct
72 Correct 32 ms 47416 KB Output is correct
73 Correct 32 ms 47484 KB Output is correct
74 Correct 32 ms 47436 KB Output is correct
75 Correct 32 ms 47404 KB Output is correct
76 Correct 33 ms 47580 KB Output is correct
77 Correct 31 ms 47564 KB Output is correct
78 Correct 31 ms 47280 KB Output is correct
79 Correct 48 ms 51408 KB Output is correct
80 Correct 47 ms 50732 KB Output is correct
81 Correct 52 ms 54444 KB Output is correct
82 Correct 51 ms 55588 KB Output is correct
83 Correct 53 ms 55708 KB Output is correct
84 Correct 45 ms 50588 KB Output is correct
85 Correct 45 ms 50304 KB Output is correct
86 Correct 53 ms 57868 KB Output is correct
87 Correct 43 ms 50604 KB Output is correct
88 Correct 47 ms 50752 KB Output is correct
89 Correct 51 ms 51476 KB Output is correct
90 Correct 49 ms 50788 KB Output is correct
91 Correct 50 ms 52704 KB Output is correct
92 Correct 46 ms 51268 KB Output is correct
93 Correct 55 ms 56072 KB Output is correct
94 Correct 49 ms 51948 KB Output is correct
95 Correct 45 ms 50080 KB Output is correct
96 Correct 59 ms 56000 KB Output is correct
97 Correct 53 ms 57416 KB Output is correct
98 Correct 56 ms 55144 KB Output is correct
99 Correct 31 ms 47168 KB Output is correct
100 Correct 31 ms 47328 KB Output is correct
101 Correct 32 ms 47336 KB Output is correct
102 Correct 31 ms 47336 KB Output is correct
103 Correct 31 ms 47248 KB Output is correct
104 Correct 33 ms 47308 KB Output is correct
105 Correct 33 ms 47308 KB Output is correct
106 Correct 31 ms 47324 KB Output is correct
107 Correct 31 ms 47280 KB Output is correct
108 Correct 31 ms 47308 KB Output is correct
109 Correct 31 ms 47340 KB Output is correct
110 Correct 32 ms 47300 KB Output is correct
111 Correct 135 ms 68324 KB Output is correct
112 Correct 126 ms 63208 KB Output is correct
113 Correct 136 ms 72104 KB Output is correct
114 Correct 135 ms 72212 KB Output is correct
115 Correct 129 ms 69116 KB Output is correct
116 Correct 183 ms 117672 KB Output is correct
117 Correct 136 ms 72152 KB Output is correct
118 Correct 31 ms 47436 KB Output is correct
119 Correct 31 ms 47448 KB Output is correct
120 Correct 32 ms 47516 KB Output is correct
121 Correct 32 ms 47484 KB Output is correct
122 Correct 32 ms 47408 KB Output is correct
123 Correct 31 ms 47356 KB Output is correct
124 Correct 32 ms 47428 KB Output is correct
125 Correct 32 ms 47392 KB Output is correct
126 Correct 33 ms 47504 KB Output is correct
127 Correct 31 ms 47424 KB Output is correct
128 Correct 31 ms 47436 KB Output is correct
129 Correct 31 ms 47460 KB Output is correct
130 Correct 32 ms 47564 KB Output is correct
131 Correct 31 ms 47268 KB Output is correct
132 Correct 48 ms 51340 KB Output is correct
133 Correct 48 ms 50644 KB Output is correct
134 Correct 52 ms 54456 KB Output is correct
135 Correct 51 ms 55484 KB Output is correct
136 Correct 53 ms 55748 KB Output is correct
137 Correct 44 ms 50528 KB Output is correct
138 Correct 44 ms 50248 KB Output is correct
139 Correct 56 ms 57916 KB Output is correct
140 Correct 44 ms 50524 KB Output is correct
141 Correct 50 ms 50788 KB Output is correct
142 Correct 52 ms 51460 KB Output is correct
143 Correct 48 ms 50756 KB Output is correct
144 Correct 52 ms 52640 KB Output is correct
145 Correct 50 ms 51268 KB Output is correct
146 Correct 56 ms 56072 KB Output is correct
147 Correct 49 ms 51952 KB Output is correct
148 Correct 46 ms 50116 KB Output is correct
149 Correct 56 ms 56044 KB Output is correct
150 Correct 54 ms 57524 KB Output is correct
151 Correct 56 ms 55220 KB Output is correct
152 Correct 476 ms 135208 KB Output is correct
153 Correct 500 ms 160912 KB Output is correct
154 Correct 460 ms 149008 KB Output is correct
155 Correct 602 ms 198344 KB Output is correct
156 Correct 521 ms 166160 KB Output is correct
157 Correct 392 ms 127236 KB Output is correct
158 Correct 487 ms 166400 KB Output is correct
159 Correct 792 ms 280892 KB Output is correct
160 Correct 798 ms 269096 KB Output is correct
161 Correct 496 ms 135568 KB Output is correct
162 Correct 441 ms 138636 KB Output is correct