oj.uz

Submission #916975

# Submission time Handle Problem Language Result Execution time Memory
916975 2024-01-26T21:44:13 Z NK_ The short shank; Redemption (BOI21_prison) C++17
100 / 100
 882 ms 209864 KB 
// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>

using namespace std;

#define nl '\n'
#define pb push_back
#define sz(x) int(x.size())
#define mp make_pair

template<class T> using V = vector<T>;
template<class T> using pq = priority_queue<T, vector<T>, less<T>>;

using vi = V<int>;
using pi = pair<int, int>;

int main() {
	cin.tie(0)->sync_with_stdio(0);
	
	int N, D, T; cin >> N >> D >> T;
	vi A(N); for(auto& x : A) cin >> x;

	V<vi> E(N);
	for(int i = 0; i < N; i++) {
		A[i] = max(T + 1 - A[i], 0);
		// cout << i << " => " << A[i] << endl;
		int r = i + A[i];
		if (r < N) E[r].pb(i);
	}
	// cout << endl;

	set<int> R; int ans = 0;

	vi LX, RX; 
	for(int i = 0; i < N; i++) {
		R.insert(i);
		for(auto& x : E[i]) R.erase(x);

		// cout << i << " ==> ";
		// for(auto& x : R) cout << x << " ";
		// cout << endl;

		if (A[i] == 0) {
			if (sz(R)) {
				LX.pb(*rbegin(R));
				RX.pb(max(LX.back(), (sz(RX) ? RX.back() : -1)));
				// cout << i << " => " << LX.back() << " " << RX.back() << endl;
			} else {
				// cout << i << " => {}" << endl;
				ans++;
			}

		} 
		// else {
		// 	// cout << i << " " << A[i] << endl;
		// }
	}	


	int M = sz(LX);
	vi ord(M); iota(begin(ord), end(ord), 0);
	sort(begin(ord), end(ord), [&](int x, int y) {
		return mp(LX[x], -RX[x]) < mp(LX[y], -RX[y]);

	});

	vi P, C, I, stk = {-1}; // parent, count
	for(auto& i : ord) {
		// cout << i << " => " << LX[i] << " " << RX[i] << endl;
		int u = sz(C); 
		while(stk.back() != -1 && RX[I[stk.back()]] < LX[i]) stk.pop_back();

		int par = stk.back();
		if (par == -1 || mp(LX[I[par]], RX[I[par]]) != mp(LX[i], RX[i])) {
			C.pb(1); I.pb(i); P.pb(par); stk.pb(u);
		} else C.back()++; 
	}

	int K = sz(P);
	V<vi> chd(K); for(int i = 0; i < K; i++) {
		if (P[i] != -1) {
			chd[P[i]].pb(i);
			// cout << i << " <--> " << P[i] << endl;
		}
	}

	vi mx(K), vis(K), taken(K, 0), S(K, 0); 
	function<void(int)> dfs = [&](int u) {
		S[u] += C[u]; mx[u] = u; vis[u] = 1; 
		for(auto& v : chd[u]) {
			S[v] += S[u];
			dfs(v); 
			if (S[mx[u]] < S[mx[v]]) mx[u] = mx[v];
		}	
	};

	pq<pi> q; for(int i = 0; i < K; i++) if (P[i] == -1) {
		dfs(i); q.push(mp(S[mx[i]], mx[i]));
		// cout << i << " --> " << mx[i] << endl;
	}

	while(D && sz(q)) {
		auto [amt, u] = q.top(); q.pop();
		D--; ans += max(amt, 0); 
		// cout << "T: " << amt << " " << u << endl;

		while(u != -1) {
			taken[u] = 1;
			for(auto& v : chd[u]) if (!taken[v]) {
				P[v] = -1;
				// cout << "ROOT: " << v << " => " << mx[v] << " " << S[mx[v]] - rem[v] << endl;
				q.push(mp(S[mx[v]] - S[u], mx[v]));
			}
			u = P[u];
		}
	}

	// cout << ans << endl;

	cout << N - ans << nl;

	exit(0-0);
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 600 KB Output is correct
2 Correct 164 ms 42336 KB Output is correct
3 Correct 131 ms 44168 KB Output is correct
4 Correct 157 ms 43092 KB Output is correct
5 Correct 106 ms 38012 KB Output is correct
6 Correct 92 ms 38592 KB Output is correct
7 Correct 100 ms 36020 KB Output is correct
8 Correct 97 ms 39944 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 500 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 2 ms 604 KB Output is correct
26 Correct 2 ms 604 KB Output is correct
27 Correct 2 ms 856 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 2 ms 604 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 676 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 600 KB Output is correct
35 Correct 1 ms 604 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 21 ms 7000 KB Output is correct
3 Correct 21 ms 6996 KB Output is correct
4 Correct 22 ms 6956 KB Output is correct
5 Correct 20 ms 5212 KB Output is correct
6 Correct 22 ms 5588 KB Output is correct
7 Correct 13 ms 5724 KB Output is correct
8 Correct 14 ms 5980 KB Output is correct
9 Correct 13 ms 5844 KB Output is correct
10 Correct 15 ms 7388 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 500 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 604 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 2 ms 604 KB Output is correct
26 Correct 2 ms 604 KB Output is correct
27 Correct 2 ms 856 KB Output is correct
28 Correct 1 ms 604 KB Output is correct
29 Correct 2 ms 604 KB Output is correct
30 Correct 1 ms 604 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 676 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 600 KB Output is correct
35 Correct 1 ms 604 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 21 ms 7000 KB Output is correct
38 Correct 21 ms 6996 KB Output is correct
39 Correct 22 ms 6956 KB Output is correct
40 Correct 20 ms 5212 KB Output is correct
41 Correct 22 ms 5588 KB Output is correct
42 Correct 13 ms 5724 KB Output is correct
43 Correct 14 ms 5980 KB Output is correct
44 Correct 13 ms 5844 KB Output is correct
45 Correct 15 ms 7388 KB Output is correct
46 Correct 0 ms 344 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 1 ms 344 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 1 ms 344 KB Output is correct
54 Correct 0 ms 344 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 1 ms 604 KB Output is correct
58 Correct 1 ms 604 KB Output is correct
59 Correct 2 ms 600 KB Output is correct
60 Correct 1 ms 604 KB Output is correct
61 Correct 1 ms 604 KB Output is correct
62 Correct 1 ms 604 KB Output is correct
63 Correct 1 ms 604 KB Output is correct
64 Correct 1 ms 604 KB Output is correct
65 Correct 1 ms 604 KB Output is correct
66 Correct 1 ms 604 KB Output is correct
67 Correct 1 ms 604 KB Output is correct
68 Correct 1 ms 600 KB Output is correct
69 Correct 2 ms 600 KB Output is correct
70 Correct 1 ms 348 KB Output is correct
71 Correct 22 ms 7248 KB Output is correct
72 Correct 21 ms 6996 KB Output is correct
73 Correct 21 ms 6984 KB Output is correct
74 Correct 21 ms 5208 KB Output is correct
75 Correct 21 ms 5592 KB Output is correct
76 Correct 13 ms 5724 KB Output is correct
77 Correct 14 ms 5924 KB Output is correct
78 Correct 15 ms 5752 KB Output is correct
79 Correct 15 ms 7384 KB Output is correct
80 Correct 26 ms 6900 KB Output is correct
81 Correct 22 ms 7252 KB Output is correct
82 Correct 24 ms 6988 KB Output is correct
83 Correct 20 ms 6684 KB Output is correct
84 Correct 16 ms 6104 KB Output is correct
85 Correct 21 ms 6236 KB Output is correct
86 Correct 17 ms 6868 KB Output is correct
87 Correct 15 ms 6484 KB Output is correct
88 Correct 13 ms 6052 KB Output is correct
89 Correct 14 ms 6528 KB Output is correct
90 Correct 14 ms 6968 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 600 KB Output is correct
13 Correct 164 ms 42336 KB Output is correct
14 Correct 131 ms 44168 KB Output is correct
15 Correct 157 ms 43092 KB Output is correct
16 Correct 106 ms 38012 KB Output is correct
17 Correct 92 ms 38592 KB Output is correct
18 Correct 100 ms 36020 KB Output is correct
19 Correct 97 ms 39944 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 500 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 604 KB Output is correct
32 Correct 1 ms 604 KB Output is correct
33 Correct 2 ms 604 KB Output is correct
34 Correct 2 ms 604 KB Output is correct
35 Correct 2 ms 856 KB Output is correct
36 Correct 1 ms 604 KB Output is correct
37 Correct 2 ms 604 KB Output is correct
38 Correct 1 ms 604 KB Output is correct
39 Correct 1 ms 604 KB Output is correct
40 Correct 1 ms 676 KB Output is correct
41 Correct 1 ms 600 KB Output is correct
42 Correct 1 ms 600 KB Output is correct
43 Correct 1 ms 604 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 21 ms 7000 KB Output is correct
46 Correct 21 ms 6996 KB Output is correct
47 Correct 22 ms 6956 KB Output is correct
48 Correct 20 ms 5212 KB Output is correct
49 Correct 22 ms 5588 KB Output is correct
50 Correct 13 ms 5724 KB Output is correct
51 Correct 14 ms 5980 KB Output is correct
52 Correct 13 ms 5844 KB Output is correct
53 Correct 15 ms 7388 KB Output is correct
54 Correct 0 ms 344 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 1 ms 344 KB Output is correct
62 Correct 0 ms 344 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 1 ms 604 KB Output is correct
66 Correct 1 ms 604 KB Output is correct
67 Correct 2 ms 600 KB Output is correct
68 Correct 1 ms 604 KB Output is correct
69 Correct 1 ms 604 KB Output is correct
70 Correct 1 ms 604 KB Output is correct
71 Correct 1 ms 604 KB Output is correct
72 Correct 1 ms 604 KB Output is correct
73 Correct 1 ms 604 KB Output is correct
74 Correct 1 ms 604 KB Output is correct
75 Correct 1 ms 604 KB Output is correct
76 Correct 1 ms 600 KB Output is correct
77 Correct 2 ms 600 KB Output is correct
78 Correct 1 ms 348 KB Output is correct
79 Correct 22 ms 7248 KB Output is correct
80 Correct 21 ms 6996 KB Output is correct
81 Correct 21 ms 6984 KB Output is correct
82 Correct 21 ms 5208 KB Output is correct
83 Correct 21 ms 5592 KB Output is correct
84 Correct 13 ms 5724 KB Output is correct
85 Correct 14 ms 5924 KB Output is correct
86 Correct 15 ms 5752 KB Output is correct
87 Correct 15 ms 7384 KB Output is correct
88 Correct 26 ms 6900 KB Output is correct
89 Correct 22 ms 7252 KB Output is correct
90 Correct 24 ms 6988 KB Output is correct
91 Correct 20 ms 6684 KB Output is correct
92 Correct 16 ms 6104 KB Output is correct
93 Correct 21 ms 6236 KB Output is correct
94 Correct 17 ms 6868 KB Output is correct
95 Correct 15 ms 6484 KB Output is correct
96 Correct 13 ms 6052 KB Output is correct
97 Correct 14 ms 6528 KB Output is correct
98 Correct 14 ms 6968 KB Output is correct
99 Correct 1 ms 348 KB Output is correct
100 Correct 1 ms 348 KB Output is correct
101 Correct 1 ms 348 KB Output is correct
102 Correct 1 ms 460 KB Output is correct
103 Correct 0 ms 348 KB Output is correct
104 Correct 1 ms 348 KB Output is correct
105 Correct 1 ms 344 KB Output is correct
106 Correct 1 ms 348 KB Output is correct
107 Correct 0 ms 348 KB Output is correct
108 Correct 1 ms 348 KB Output is correct
109 Correct 1 ms 348 KB Output is correct
110 Correct 0 ms 348 KB Output is correct
111 Correct 160 ms 47164 KB Output is correct
112 Correct 134 ms 48952 KB Output is correct
113 Correct 159 ms 46384 KB Output is correct
114 Correct 107 ms 39940 KB Output is correct
115 Correct 98 ms 42592 KB Output is correct
116 Correct 88 ms 39748 KB Output is correct
117 Correct 106 ms 43928 KB Output is correct
118 Correct 1 ms 856 KB Output is correct
119 Correct 2 ms 604 KB Output is correct
120 Correct 1 ms 860 KB Output is correct
121 Correct 2 ms 604 KB Output is correct
122 Correct 2 ms 768 KB Output is correct
123 Correct 1 ms 600 KB Output is correct
124 Correct 1 ms 860 KB Output is correct
125 Correct 1 ms 604 KB Output is correct
126 Correct 1 ms 604 KB Output is correct
127 Correct 1 ms 860 KB Output is correct
128 Correct 1 ms 604 KB Output is correct
129 Correct 2 ms 604 KB Output is correct
130 Correct 2 ms 724 KB Output is correct
131 Correct 1 ms 344 KB Output is correct
132 Correct 22 ms 7764 KB Output is correct
133 Correct 21 ms 7660 KB Output is correct
134 Correct 21 ms 7508 KB Output is correct
135 Correct 21 ms 5980 KB Output is correct
136 Correct 23 ms 6348 KB Output is correct
137 Correct 13 ms 6232 KB Output is correct
138 Correct 17 ms 6748 KB Output is correct
139 Correct 14 ms 6360 KB Output is correct
140 Correct 15 ms 7900 KB Output is correct
141 Correct 21 ms 7656 KB Output is correct
142 Correct 22 ms 7760 KB Output is correct
143 Correct 22 ms 7764 KB Output is correct
144 Correct 21 ms 6944 KB Output is correct
145 Correct 16 ms 6360 KB Output is correct
146 Correct 21 ms 6332 KB Output is correct
147 Correct 16 ms 6872 KB Output is correct
148 Correct 15 ms 6600 KB Output is correct
149 Correct 13 ms 6024 KB Output is correct
150 Correct 14 ms 6524 KB Output is correct
151 Correct 14 ms 7072 KB Output is correct
152 Correct 882 ms 189388 KB Output is correct
153 Correct 596 ms 200036 KB Output is correct
154 Correct 551 ms 196608 KB Output is correct
155 Correct 624 ms 182800 KB Output is correct
156 Correct 461 ms 167632 KB Output is correct
157 Correct 352 ms 165188 KB Output is correct
158 Correct 371 ms 164032 KB Output is correct
159 Correct 416 ms 185744 KB Output is correct
160 Correct 440 ms 209864 KB Output is correct
161 Correct 435 ms 192836 KB Output is correct
162 Correct 383 ms 192564 KB Output is correct