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Submission #948710

# Submission time Handle Problem Language Result Execution time Memory
948710 2024-03-18T11:51:24 Z LucaIlie The short shank; Redemption (BOI21_prison) C++17
100 / 100
 532 ms 255904 KB 
#include <bits/stdc++.h>

using namespace std;

const int MAX_N = 2e6;
const long long INF = 1e9;

struct aa {
    int val, node;

    bool operator < ( const aa &a ) const {
        return val < a.val;
    }

    aa operator - ( int a ) {
        return { val - a, node };
    }
};

bool vis[MAX_N + 1], isPassive[MAX_N + 1];
int parent[MAX_N + 1], firstLower[MAX_N + 2], depth[MAX_N + 1];
aa maxDepth[MAX_N + 1];
long long t[MAX_N + 2];
vector<int> adj[MAX_N + 2];

void dfs( int u ) {
    vis[u] = true;
    maxDepth[u] = { depth[u], u };
    for ( int v: adj[u] ) {
        depth[v] = depth[u] + 1;
        dfs( v );
        maxDepth[u] = max( maxDepth[u], maxDepth[v] );
    }
}

int main() {
    cin.tie( NULL );
    cout.tie( NULL );
    ios_base::sync_with_stdio( false );
    int n, d, s;

    cin >> n >> d >> s;
    for ( int i = 1; i <= n; i++ )
        cin >> t[i];
    t[0] = -INF;

    vector <int> stack;
    stack.push_back( 0 );
    firstLower[0] = 0;
    for ( int i = 1; i <= n; i++ ) {
        while ( t[i] - i <= t[stack.back()] - stack.back() )
            stack.pop_back();
        stack.push_back( i );

        int l = 0, r = stack.size();
        while ( r - l > 1 ) {
            int mid = (l + r) / 2;

            if ( t[stack[mid]] + i - stack[mid] <= s )
                l = mid;
            else
                r = mid;
        }
        firstLower[i] = stack[l];

        if ( firstLower[i] == 0 )
            isPassive[i] = vis[i] = true;
    }

    stack.clear();
    stack.push_back( n + 1 );
    firstLower[n + 1] = -1;
    for ( int i = n; i >= 1; i-- ) {
        if ( t[i] <= s || isPassive[i] )
            continue;

        int l = 0, r = stack.size();
        while ( r - l > 1 ) {
            int mid = (l + r) / 2;

            if ( firstLower[stack[mid]] < i )
                l = mid;
            else
                r = mid;
        }
        parent[i] = stack[l];
        adj[parent[i]].push_back( i );

        while ( firstLower[i] <= firstLower[stack.back()] )
            stack.pop_back();
        stack.push_back( i );
    }

    priority_queue <aa> pq;
    for ( int v = n; v >= 1; v-- ) {
        if ( t[v] <= s || vis[v] )
            continue;

        depth[v] = 1;
        dfs( v );
        pq.push( maxDepth[v] );
    }
    for ( int v = n; v >= 1; v-- )
        vis[v] = false;

    while ( d > 0 && !pq.empty() ) {
        auto x = pq.top();
        pq.pop();

        int u = x.node;
        while ( u != n + 1 ) {
            isPassive[u] = true;
            for ( int v: adj[u] ) {
                parent[v] = n + 1;
                if ( isPassive[v] )
                    continue;
                pq.push( maxDepth[v] - depth[u] );
            }
            u = parent[u];
        }

        d--;
    }

    int ans = n;
    for ( int v = 1; v <= n; v++ )
        ans -= isPassive[v];
    cout << ans;

    return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 55900 KB Output is correct
2 Correct 12 ms 55904 KB Output is correct
3 Correct 12 ms 55900 KB Output is correct
4 Correct 12 ms 55900 KB Output is correct
5 Correct 13 ms 59996 KB Output is correct
6 Correct 12 ms 55900 KB Output is correct
7 Correct 12 ms 59992 KB Output is correct
8 Correct 12 ms 59996 KB Output is correct
9 Correct 13 ms 59996 KB Output is correct
10 Correct 13 ms 59996 KB Output is correct
11 Correct 12 ms 60144 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 55896 KB Output is correct
2 Correct 79 ms 79944 KB Output is correct
3 Correct 72 ms 73912 KB Output is correct
4 Correct 111 ms 79184 KB Output is correct
5 Correct 76 ms 83020 KB Output is correct
6 Correct 68 ms 80580 KB Output is correct
7 Correct 104 ms 121168 KB Output is correct
8 Correct 85 ms 81112 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 55900 KB Output is correct
2 Correct 12 ms 55904 KB Output is correct
3 Correct 12 ms 55900 KB Output is correct
4 Correct 12 ms 55900 KB Output is correct
5 Correct 13 ms 59996 KB Output is correct
6 Correct 12 ms 55900 KB Output is correct
7 Correct 12 ms 59992 KB Output is correct
8 Correct 12 ms 59996 KB Output is correct
9 Correct 13 ms 59996 KB Output is correct
10 Correct 13 ms 59996 KB Output is correct
11 Correct 12 ms 60144 KB Output is correct
12 Correct 12 ms 55900 KB Output is correct
13 Correct 12 ms 55900 KB Output is correct
14 Correct 12 ms 55900 KB Output is correct
15 Correct 12 ms 56068 KB Output is correct
16 Correct 13 ms 59996 KB Output is correct
17 Correct 12 ms 55900 KB Output is correct
18 Correct 12 ms 60144 KB Output is correct
19 Correct 12 ms 60036 KB Output is correct
20 Correct 13 ms 59992 KB Output is correct
21 Correct 13 ms 59992 KB Output is correct
22 Correct 13 ms 59996 KB Output is correct
23 Correct 13 ms 60016 KB Output is correct
24 Correct 12 ms 55896 KB Output is correct
25 Correct 13 ms 59996 KB Output is correct
26 Correct 12 ms 56112 KB Output is correct
27 Correct 14 ms 60048 KB Output is correct
28 Correct 13 ms 55900 KB Output is correct
29 Correct 13 ms 59996 KB Output is correct
30 Correct 13 ms 59992 KB Output is correct
31 Correct 13 ms 59996 KB Output is correct
32 Correct 13 ms 60028 KB Output is correct
33 Correct 13 ms 59996 KB Output is correct
34 Correct 14 ms 60224 KB Output is correct
35 Correct 12 ms 56156 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 55900 KB Output is correct
2 Correct 24 ms 65416 KB Output is correct
3 Correct 22 ms 65112 KB Output is correct
4 Correct 31 ms 67932 KB Output is correct
5 Correct 30 ms 64848 KB Output is correct
6 Correct 29 ms 65116 KB Output is correct
7 Correct 20 ms 65512 KB Output is correct
8 Correct 22 ms 65372 KB Output is correct
9 Correct 26 ms 71260 KB Output is correct
10 Correct 19 ms 65088 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 55900 KB Output is correct
2 Correct 12 ms 55904 KB Output is correct
3 Correct 12 ms 55900 KB Output is correct
4 Correct 12 ms 55900 KB Output is correct
5 Correct 13 ms 59996 KB Output is correct
6 Correct 12 ms 55900 KB Output is correct
7 Correct 12 ms 59992 KB Output is correct
8 Correct 12 ms 59996 KB Output is correct
9 Correct 13 ms 59996 KB Output is correct
10 Correct 13 ms 59996 KB Output is correct
11 Correct 12 ms 60144 KB Output is correct
12 Correct 12 ms 55900 KB Output is correct
13 Correct 12 ms 55900 KB Output is correct
14 Correct 12 ms 55900 KB Output is correct
15 Correct 12 ms 56068 KB Output is correct
16 Correct 13 ms 59996 KB Output is correct
17 Correct 12 ms 55900 KB Output is correct
18 Correct 12 ms 60144 KB Output is correct
19 Correct 12 ms 60036 KB Output is correct
20 Correct 13 ms 59992 KB Output is correct
21 Correct 13 ms 59992 KB Output is correct
22 Correct 13 ms 59996 KB Output is correct
23 Correct 13 ms 60016 KB Output is correct
24 Correct 12 ms 55896 KB Output is correct
25 Correct 13 ms 59996 KB Output is correct
26 Correct 12 ms 56112 KB Output is correct
27 Correct 14 ms 60048 KB Output is correct
28 Correct 13 ms 55900 KB Output is correct
29 Correct 13 ms 59996 KB Output is correct
30 Correct 13 ms 59992 KB Output is correct
31 Correct 13 ms 59996 KB Output is correct
32 Correct 13 ms 60028 KB Output is correct
33 Correct 13 ms 59996 KB Output is correct
34 Correct 14 ms 60224 KB Output is correct
35 Correct 12 ms 56156 KB Output is correct
36 Correct 12 ms 55900 KB Output is correct
37 Correct 24 ms 65416 KB Output is correct
38 Correct 22 ms 65112 KB Output is correct
39 Correct 31 ms 67932 KB Output is correct
40 Correct 30 ms 64848 KB Output is correct
41 Correct 29 ms 65116 KB Output is correct
42 Correct 20 ms 65512 KB Output is correct
43 Correct 22 ms 65372 KB Output is correct
44 Correct 26 ms 71260 KB Output is correct
45 Correct 19 ms 65088 KB Output is correct
46 Correct 13 ms 55900 KB Output is correct
47 Correct 12 ms 55896 KB Output is correct
48 Correct 11 ms 55900 KB Output is correct
49 Correct 12 ms 55900 KB Output is correct
50 Correct 13 ms 59996 KB Output is correct
51 Correct 12 ms 55900 KB Output is correct
52 Correct 14 ms 59992 KB Output is correct
53 Correct 12 ms 59996 KB Output is correct
54 Correct 14 ms 60252 KB Output is correct
55 Correct 12 ms 59996 KB Output is correct
56 Correct 12 ms 59996 KB Output is correct
57 Correct 13 ms 60212 KB Output is correct
58 Correct 12 ms 55936 KB Output is correct
59 Correct 13 ms 60120 KB Output is correct
60 Correct 13 ms 55900 KB Output is correct
61 Correct 13 ms 59996 KB Output is correct
62 Correct 13 ms 55900 KB Output is correct
63 Correct 15 ms 59996 KB Output is correct
64 Correct 14 ms 60136 KB Output is correct
65 Correct 13 ms 59996 KB Output is correct
66 Correct 14 ms 59996 KB Output is correct
67 Correct 13 ms 59996 KB Output is correct
68 Correct 13 ms 60080 KB Output is correct
69 Correct 12 ms 56156 KB Output is correct
70 Correct 12 ms 55900 KB Output is correct
71 Correct 23 ms 65496 KB Output is correct
72 Correct 22 ms 65116 KB Output is correct
73 Correct 30 ms 67792 KB Output is correct
74 Correct 30 ms 64860 KB Output is correct
75 Correct 34 ms 64976 KB Output is correct
76 Correct 20 ms 65372 KB Output is correct
77 Correct 21 ms 65236 KB Output is correct
78 Correct 26 ms 71260 KB Output is correct
79 Correct 20 ms 65048 KB Output is correct
80 Correct 22 ms 61276 KB Output is correct
81 Correct 24 ms 65628 KB Output is correct
82 Correct 23 ms 61272 KB Output is correct
83 Correct 29 ms 66552 KB Output is correct
84 Correct 22 ms 65372 KB Output is correct
85 Correct 31 ms 65504 KB Output is correct
86 Correct 22 ms 66136 KB Output is correct
87 Correct 21 ms 64996 KB Output is correct
88 Correct 24 ms 69720 KB Output is correct
89 Correct 25 ms 66780 KB Output is correct
90 Correct 25 ms 68956 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 55900 KB Output is correct
2 Correct 12 ms 55904 KB Output is correct
3 Correct 12 ms 55900 KB Output is correct
4 Correct 12 ms 55900 KB Output is correct
5 Correct 13 ms 59996 KB Output is correct
6 Correct 12 ms 55900 KB Output is correct
7 Correct 12 ms 59992 KB Output is correct
8 Correct 12 ms 59996 KB Output is correct
9 Correct 13 ms 59996 KB Output is correct
10 Correct 13 ms 59996 KB Output is correct
11 Correct 12 ms 60144 KB Output is correct
12 Correct 12 ms 55896 KB Output is correct
13 Correct 79 ms 79944 KB Output is correct
14 Correct 72 ms 73912 KB Output is correct
15 Correct 111 ms 79184 KB Output is correct
16 Correct 76 ms 83020 KB Output is correct
17 Correct 68 ms 80580 KB Output is correct
18 Correct 104 ms 121168 KB Output is correct
19 Correct 85 ms 81112 KB Output is correct
20 Correct 12 ms 55900 KB Output is correct
21 Correct 12 ms 55900 KB Output is correct
22 Correct 12 ms 55900 KB Output is correct
23 Correct 12 ms 56068 KB Output is correct
24 Correct 13 ms 59996 KB Output is correct
25 Correct 12 ms 55900 KB Output is correct
26 Correct 12 ms 60144 KB Output is correct
27 Correct 12 ms 60036 KB Output is correct
28 Correct 13 ms 59992 KB Output is correct
29 Correct 13 ms 59992 KB Output is correct
30 Correct 13 ms 59996 KB Output is correct
31 Correct 13 ms 60016 KB Output is correct
32 Correct 12 ms 55896 KB Output is correct
33 Correct 13 ms 59996 KB Output is correct
34 Correct 12 ms 56112 KB Output is correct
35 Correct 14 ms 60048 KB Output is correct
36 Correct 13 ms 55900 KB Output is correct
37 Correct 13 ms 59996 KB Output is correct
38 Correct 13 ms 59992 KB Output is correct
39 Correct 13 ms 59996 KB Output is correct
40 Correct 13 ms 60028 KB Output is correct
41 Correct 13 ms 59996 KB Output is correct
42 Correct 14 ms 60224 KB Output is correct
43 Correct 12 ms 56156 KB Output is correct
44 Correct 12 ms 55900 KB Output is correct
45 Correct 24 ms 65416 KB Output is correct
46 Correct 22 ms 65112 KB Output is correct
47 Correct 31 ms 67932 KB Output is correct
48 Correct 30 ms 64848 KB Output is correct
49 Correct 29 ms 65116 KB Output is correct
50 Correct 20 ms 65512 KB Output is correct
51 Correct 22 ms 65372 KB Output is correct
52 Correct 26 ms 71260 KB Output is correct
53 Correct 19 ms 65088 KB Output is correct
54 Correct 13 ms 55900 KB Output is correct
55 Correct 12 ms 55896 KB Output is correct
56 Correct 11 ms 55900 KB Output is correct
57 Correct 12 ms 55900 KB Output is correct
58 Correct 13 ms 59996 KB Output is correct
59 Correct 12 ms 55900 KB Output is correct
60 Correct 14 ms 59992 KB Output is correct
61 Correct 12 ms 59996 KB Output is correct
62 Correct 14 ms 60252 KB Output is correct
63 Correct 12 ms 59996 KB Output is correct
64 Correct 12 ms 59996 KB Output is correct
65 Correct 13 ms 60212 KB Output is correct
66 Correct 12 ms 55936 KB Output is correct
67 Correct 13 ms 60120 KB Output is correct
68 Correct 13 ms 55900 KB Output is correct
69 Correct 13 ms 59996 KB Output is correct
70 Correct 13 ms 55900 KB Output is correct
71 Correct 15 ms 59996 KB Output is correct
72 Correct 14 ms 60136 KB Output is correct
73 Correct 13 ms 59996 KB Output is correct
74 Correct 14 ms 59996 KB Output is correct
75 Correct 13 ms 59996 KB Output is correct
76 Correct 13 ms 60080 KB Output is correct
77 Correct 12 ms 56156 KB Output is correct
78 Correct 12 ms 55900 KB Output is correct
79 Correct 23 ms 65496 KB Output is correct
80 Correct 22 ms 65116 KB Output is correct
81 Correct 30 ms 67792 KB Output is correct
82 Correct 30 ms 64860 KB Output is correct
83 Correct 34 ms 64976 KB Output is correct
84 Correct 20 ms 65372 KB Output is correct
85 Correct 21 ms 65236 KB Output is correct
86 Correct 26 ms 71260 KB Output is correct
87 Correct 20 ms 65048 KB Output is correct
88 Correct 22 ms 61276 KB Output is correct
89 Correct 24 ms 65628 KB Output is correct
90 Correct 23 ms 61272 KB Output is correct
91 Correct 29 ms 66552 KB Output is correct
92 Correct 22 ms 65372 KB Output is correct
93 Correct 31 ms 65504 KB Output is correct
94 Correct 22 ms 66136 KB Output is correct
95 Correct 21 ms 64996 KB Output is correct
96 Correct 24 ms 69720 KB Output is correct
97 Correct 25 ms 66780 KB Output is correct
98 Correct 25 ms 68956 KB Output is correct
99 Correct 13 ms 55924 KB Output is correct
100 Correct 11 ms 55900 KB Output is correct
101 Correct 12 ms 55900 KB Output is correct
102 Correct 13 ms 55988 KB Output is correct
103 Correct 13 ms 59996 KB Output is correct
104 Correct 12 ms 55952 KB Output is correct
105 Correct 12 ms 59996 KB Output is correct
106 Correct 13 ms 60152 KB Output is correct
107 Correct 12 ms 59996 KB Output is correct
108 Correct 12 ms 60064 KB Output is correct
109 Correct 12 ms 59996 KB Output is correct
110 Correct 12 ms 56052 KB Output is correct
111 Correct 76 ms 79964 KB Output is correct
112 Correct 74 ms 73916 KB Output is correct
113 Correct 111 ms 79192 KB Output is correct
114 Correct 75 ms 83060 KB Output is correct
115 Correct 70 ms 80312 KB Output is correct
116 Correct 105 ms 121300 KB Output is correct
117 Correct 73 ms 81224 KB Output is correct
118 Correct 13 ms 59996 KB Output is correct
119 Correct 12 ms 55900 KB Output is correct
120 Correct 13 ms 59996 KB Output is correct
121 Correct 12 ms 55928 KB Output is correct
122 Correct 12 ms 60052 KB Output is correct
123 Correct 13 ms 55900 KB Output is correct
124 Correct 13 ms 59992 KB Output is correct
125 Correct 13 ms 59996 KB Output is correct
126 Correct 13 ms 60192 KB Output is correct
127 Correct 13 ms 60056 KB Output is correct
128 Correct 12 ms 60192 KB Output is correct
129 Correct 13 ms 59996 KB Output is correct
130 Correct 13 ms 55944 KB Output is correct
131 Correct 12 ms 56048 KB Output is correct
132 Correct 23 ms 65496 KB Output is correct
133 Correct 22 ms 65116 KB Output is correct
134 Correct 30 ms 67864 KB Output is correct
135 Correct 30 ms 64852 KB Output is correct
136 Correct 29 ms 65116 KB Output is correct
137 Correct 20 ms 65372 KB Output is correct
138 Correct 22 ms 65232 KB Output is correct
139 Correct 25 ms 71256 KB Output is correct
140 Correct 19 ms 65052 KB Output is correct
141 Correct 23 ms 61272 KB Output is correct
142 Correct 24 ms 65628 KB Output is correct
143 Correct 25 ms 61276 KB Output is correct
144 Correct 31 ms 66556 KB Output is correct
145 Correct 21 ms 65460 KB Output is correct
146 Correct 30 ms 65104 KB Output is correct
147 Correct 23 ms 66140 KB Output is correct
148 Correct 24 ms 65044 KB Output is correct
149 Correct 24 ms 69720 KB Output is correct
150 Correct 25 ms 66908 KB Output is correct
151 Correct 27 ms 68824 KB Output is correct
152 Correct 303 ms 127756 KB Output is correct
153 Correct 298 ms 150176 KB Output is correct
154 Correct 272 ms 144688 KB Output is correct
155 Correct 532 ms 182184 KB Output is correct
156 Correct 285 ms 150856 KB Output is correct
157 Correct 238 ms 134024 KB Output is correct
158 Correct 274 ms 162976 KB Output is correct
159 Correct 368 ms 255904 KB Output is correct
160 Correct 359 ms 241464 KB Output is correct
161 Correct 256 ms 135032 KB Output is correct
162 Correct 234 ms 138084 KB Output is correct