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Submission #948707

# Submission time Handle Problem Language Result Execution time Memory
948707 2024-03-18T11:50:06 Z LucaIlie The short shank; Redemption (BOI21_prison) C++17
80 / 100
 280 ms 174276 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 + 1], depth[MAX_N + 1];
aa maxDepth[MAX_N + 1];
long long t[MAX_N + 1];
vector<int> adj[MAX_N + 1];

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 55900 KB Output is correct
3 Correct 15 ms 55896 KB Output is correct
4 Correct 12 ms 55900 KB Output is correct
5 Correct 13 ms 59992 KB Output is correct
6 Correct 12 ms 55900 KB Output is correct
7 Correct 12 ms 59996 KB Output is correct
8 Correct 12 ms 59996 KB Output is correct
9 Correct 12 ms 59996 KB Output is correct
10 Correct 13 ms 60200 KB Output is correct
11 Correct 13 ms 59996 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 55900 KB Output is correct
2 Correct 85 ms 79948 KB Output is correct
3 Correct 75 ms 78920 KB Output is correct
4 Correct 113 ms 82576 KB Output is correct
5 Correct 75 ms 84820 KB Output is correct
6 Correct 70 ms 84152 KB Output is correct
7 Correct 114 ms 125492 KB Output is correct
8 Correct 79 ms 85052 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 55900 KB Output is correct
3 Correct 15 ms 55896 KB Output is correct
4 Correct 12 ms 55900 KB Output is correct
5 Correct 13 ms 59992 KB Output is correct
6 Correct 12 ms 55900 KB Output is correct
7 Correct 12 ms 59996 KB Output is correct
8 Correct 12 ms 59996 KB Output is correct
9 Correct 12 ms 59996 KB Output is correct
10 Correct 13 ms 60200 KB Output is correct
11 Correct 13 ms 59996 KB Output is correct
12 Correct 12 ms 55900 KB Output is correct
13 Correct 13 ms 55900 KB Output is correct
14 Correct 12 ms 55900 KB Output is correct
15 Correct 11 ms 56056 KB Output is correct
16 Correct 13 ms 59996 KB Output is correct
17 Correct 13 ms 55900 KB Output is correct
18 Correct 12 ms 59996 KB Output is correct
19 Correct 12 ms 59996 KB Output is correct
20 Correct 12 ms 59996 KB Output is correct
21 Correct 13 ms 59996 KB Output is correct
22 Correct 12 ms 59996 KB Output is correct
23 Correct 13 ms 60252 KB Output is correct
24 Correct 14 ms 56160 KB Output is correct
25 Correct 13 ms 59996 KB Output is correct
26 Correct 12 ms 56156 KB Output is correct
27 Correct 13 ms 59996 KB Output is correct
28 Correct 13 ms 55900 KB Output is correct
29 Correct 14 ms 60156 KB Output is correct
30 Correct 13 ms 60068 KB Output is correct
31 Correct 14 ms 59996 KB Output is correct
32 Correct 13 ms 59996 KB Output is correct
33 Correct 13 ms 60020 KB Output is correct
34 Correct 13 ms 60008 KB Output is correct
35 Correct 13 ms 56156 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 56304 KB Output is correct
2 Correct 24 ms 65492 KB Output is correct
3 Correct 22 ms 66016 KB Output is correct
4 Correct 31 ms 68188 KB Output is correct
5 Correct 31 ms 65780 KB Output is correct
6 Correct 29 ms 65776 KB Output is correct
7 Correct 20 ms 66044 KB Output is correct
8 Correct 21 ms 65864 KB Output is correct
9 Correct 26 ms 71760 KB Output is correct
10 Correct 20 ms 65564 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 55900 KB Output is correct
3 Correct 15 ms 55896 KB Output is correct
4 Correct 12 ms 55900 KB Output is correct
5 Correct 13 ms 59992 KB Output is correct
6 Correct 12 ms 55900 KB Output is correct
7 Correct 12 ms 59996 KB Output is correct
8 Correct 12 ms 59996 KB Output is correct
9 Correct 12 ms 59996 KB Output is correct
10 Correct 13 ms 60200 KB Output is correct
11 Correct 13 ms 59996 KB Output is correct
12 Correct 12 ms 55900 KB Output is correct
13 Correct 13 ms 55900 KB Output is correct
14 Correct 12 ms 55900 KB Output is correct
15 Correct 11 ms 56056 KB Output is correct
16 Correct 13 ms 59996 KB Output is correct
17 Correct 13 ms 55900 KB Output is correct
18 Correct 12 ms 59996 KB Output is correct
19 Correct 12 ms 59996 KB Output is correct
20 Correct 12 ms 59996 KB Output is correct
21 Correct 13 ms 59996 KB Output is correct
22 Correct 12 ms 59996 KB Output is correct
23 Correct 13 ms 60252 KB Output is correct
24 Correct 14 ms 56160 KB Output is correct
25 Correct 13 ms 59996 KB Output is correct
26 Correct 12 ms 56156 KB Output is correct
27 Correct 13 ms 59996 KB Output is correct
28 Correct 13 ms 55900 KB Output is correct
29 Correct 14 ms 60156 KB Output is correct
30 Correct 13 ms 60068 KB Output is correct
31 Correct 14 ms 59996 KB Output is correct
32 Correct 13 ms 59996 KB Output is correct
33 Correct 13 ms 60020 KB Output is correct
34 Correct 13 ms 60008 KB Output is correct
35 Correct 13 ms 56156 KB Output is correct
36 Correct 13 ms 56304 KB Output is correct
37 Correct 24 ms 65492 KB Output is correct
38 Correct 22 ms 66016 KB Output is correct
39 Correct 31 ms 68188 KB Output is correct
40 Correct 31 ms 65780 KB Output is correct
41 Correct 29 ms 65776 KB Output is correct
42 Correct 20 ms 66044 KB Output is correct
43 Correct 21 ms 65864 KB Output is correct
44 Correct 26 ms 71760 KB Output is correct
45 Correct 20 ms 65564 KB Output is correct
46 Correct 12 ms 55900 KB Output is correct
47 Correct 12 ms 55900 KB Output is correct
48 Correct 14 ms 55900 KB Output is correct
49 Correct 13 ms 56156 KB Output is correct
50 Correct 12 ms 59992 KB Output is correct
51 Correct 13 ms 55900 KB Output is correct
52 Correct 12 ms 60048 KB Output is correct
53 Correct 13 ms 59992 KB Output is correct
54 Correct 12 ms 59996 KB Output is correct
55 Correct 12 ms 60156 KB Output is correct
56 Correct 13 ms 60076 KB Output is correct
57 Correct 14 ms 60248 KB Output is correct
58 Correct 13 ms 55900 KB Output is correct
59 Correct 14 ms 60252 KB Output is correct
60 Correct 13 ms 56064 KB Output is correct
61 Correct 14 ms 60252 KB Output is correct
62 Correct 12 ms 56152 KB Output is correct
63 Correct 13 ms 60252 KB Output is correct
64 Correct 14 ms 60180 KB Output is correct
65 Correct 13 ms 60056 KB Output is correct
66 Correct 13 ms 60208 KB Output is correct
67 Correct 13 ms 59996 KB Output is correct
68 Correct 13 ms 59996 KB Output is correct
69 Correct 13 ms 56156 KB Output is correct
70 Correct 12 ms 55900 KB Output is correct
71 Correct 23 ms 66112 KB Output is correct
72 Correct 23 ms 65880 KB Output is correct
73 Correct 31 ms 68368 KB Output is correct
74 Correct 35 ms 65620 KB Output is correct
75 Correct 31 ms 65628 KB Output is correct
76 Correct 21 ms 66108 KB Output is correct
77 Correct 21 ms 65884 KB Output is correct
78 Correct 27 ms 71752 KB Output is correct
79 Correct 20 ms 65560 KB Output is correct
80 Correct 22 ms 61896 KB Output is correct
81 Correct 24 ms 66136 KB Output is correct
82 Correct 23 ms 61892 KB Output is correct
83 Correct 30 ms 66900 KB Output is correct
84 Correct 23 ms 65620 KB Output is correct
85 Correct 30 ms 66040 KB Output is correct
86 Correct 24 ms 66908 KB Output is correct
87 Correct 21 ms 65508 KB Output is correct
88 Correct 26 ms 70480 KB Output is correct
89 Correct 27 ms 67420 KB Output is correct
90 Correct 24 ms 69468 KB Output is correct

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 55900 KB Output is correct
2 Correct 12 ms 55900 KB Output is correct
3 Correct 15 ms 55896 KB Output is correct
4 Correct 12 ms 55900 KB Output is correct
5 Correct 13 ms 59992 KB Output is correct
6 Correct 12 ms 55900 KB Output is correct
7 Correct 12 ms 59996 KB Output is correct
8 Correct 12 ms 59996 KB Output is correct
9 Correct 12 ms 59996 KB Output is correct
10 Correct 13 ms 60200 KB Output is correct
11 Correct 13 ms 59996 KB Output is correct
12 Correct 12 ms 55900 KB Output is correct
13 Correct 85 ms 79948 KB Output is correct
14 Correct 75 ms 78920 KB Output is correct
15 Correct 113 ms 82576 KB Output is correct
16 Correct 75 ms 84820 KB Output is correct
17 Correct 70 ms 84152 KB Output is correct
18 Correct 114 ms 125492 KB Output is correct
19 Correct 79 ms 85052 KB Output is correct
20 Correct 12 ms 55900 KB Output is correct
21 Correct 13 ms 55900 KB Output is correct
22 Correct 12 ms 55900 KB Output is correct
23 Correct 11 ms 56056 KB Output is correct
24 Correct 13 ms 59996 KB Output is correct
25 Correct 13 ms 55900 KB Output is correct
26 Correct 12 ms 59996 KB Output is correct
27 Correct 12 ms 59996 KB Output is correct
28 Correct 12 ms 59996 KB Output is correct
29 Correct 13 ms 59996 KB Output is correct
30 Correct 12 ms 59996 KB Output is correct
31 Correct 13 ms 60252 KB Output is correct
32 Correct 14 ms 56160 KB Output is correct
33 Correct 13 ms 59996 KB Output is correct
34 Correct 12 ms 56156 KB Output is correct
35 Correct 13 ms 59996 KB Output is correct
36 Correct 13 ms 55900 KB Output is correct
37 Correct 14 ms 60156 KB Output is correct
38 Correct 13 ms 60068 KB Output is correct
39 Correct 14 ms 59996 KB Output is correct
40 Correct 13 ms 59996 KB Output is correct
41 Correct 13 ms 60020 KB Output is correct
42 Correct 13 ms 60008 KB Output is correct
43 Correct 13 ms 56156 KB Output is correct
44 Correct 13 ms 56304 KB Output is correct
45 Correct 24 ms 65492 KB Output is correct
46 Correct 22 ms 66016 KB Output is correct
47 Correct 31 ms 68188 KB Output is correct
48 Correct 31 ms 65780 KB Output is correct
49 Correct 29 ms 65776 KB Output is correct
50 Correct 20 ms 66044 KB Output is correct
51 Correct 21 ms 65864 KB Output is correct
52 Correct 26 ms 71760 KB Output is correct
53 Correct 20 ms 65564 KB Output is correct
54 Correct 12 ms 55900 KB Output is correct
55 Correct 12 ms 55900 KB Output is correct
56 Correct 14 ms 55900 KB Output is correct
57 Correct 13 ms 56156 KB Output is correct
58 Correct 12 ms 59992 KB Output is correct
59 Correct 13 ms 55900 KB Output is correct
60 Correct 12 ms 60048 KB Output is correct
61 Correct 13 ms 59992 KB Output is correct
62 Correct 12 ms 59996 KB Output is correct
63 Correct 12 ms 60156 KB Output is correct
64 Correct 13 ms 60076 KB Output is correct
65 Correct 14 ms 60248 KB Output is correct
66 Correct 13 ms 55900 KB Output is correct
67 Correct 14 ms 60252 KB Output is correct
68 Correct 13 ms 56064 KB Output is correct
69 Correct 14 ms 60252 KB Output is correct
70 Correct 12 ms 56152 KB Output is correct
71 Correct 13 ms 60252 KB Output is correct
72 Correct 14 ms 60180 KB Output is correct
73 Correct 13 ms 60056 KB Output is correct
74 Correct 13 ms 60208 KB Output is correct
75 Correct 13 ms 59996 KB Output is correct
76 Correct 13 ms 59996 KB Output is correct
77 Correct 13 ms 56156 KB Output is correct
78 Correct 12 ms 55900 KB Output is correct
79 Correct 23 ms 66112 KB Output is correct
80 Correct 23 ms 65880 KB Output is correct
81 Correct 31 ms 68368 KB Output is correct
82 Correct 35 ms 65620 KB Output is correct
83 Correct 31 ms 65628 KB Output is correct
84 Correct 21 ms 66108 KB Output is correct
85 Correct 21 ms 65884 KB Output is correct
86 Correct 27 ms 71752 KB Output is correct
87 Correct 20 ms 65560 KB Output is correct
88 Correct 22 ms 61896 KB Output is correct
89 Correct 24 ms 66136 KB Output is correct
90 Correct 23 ms 61892 KB Output is correct
91 Correct 30 ms 66900 KB Output is correct
92 Correct 23 ms 65620 KB Output is correct
93 Correct 30 ms 66040 KB Output is correct
94 Correct 24 ms 66908 KB Output is correct
95 Correct 21 ms 65508 KB Output is correct
96 Correct 26 ms 70480 KB Output is correct
97 Correct 27 ms 67420 KB Output is correct
98 Correct 24 ms 69468 KB Output is correct
99 Correct 12 ms 55900 KB Output is correct
100 Correct 12 ms 55984 KB Output is correct
101 Correct 12 ms 55900 KB Output is correct
102 Correct 13 ms 56152 KB Output is correct
103 Correct 13 ms 59992 KB Output is correct
104 Correct 12 ms 55900 KB Output is correct
105 Correct 12 ms 59996 KB Output is correct
106 Correct 12 ms 59996 KB Output is correct
107 Correct 14 ms 59996 KB Output is correct
108 Correct 13 ms 59992 KB Output is correct
109 Correct 13 ms 60252 KB Output is correct
110 Correct 12 ms 55976 KB Output is correct
111 Correct 79 ms 84808 KB Output is correct
112 Correct 75 ms 78768 KB Output is correct
113 Correct 114 ms 82648 KB Output is correct
114 Correct 87 ms 84800 KB Output is correct
115 Correct 69 ms 84124 KB Output is correct
116 Correct 109 ms 125008 KB Output is correct
117 Correct 74 ms 85028 KB Output is correct
118 Correct 13 ms 60024 KB Output is correct
119 Correct 13 ms 56156 KB Output is correct
120 Correct 13 ms 60252 KB Output is correct
121 Correct 12 ms 56160 KB Output is correct
122 Correct 14 ms 60076 KB Output is correct
123 Correct 12 ms 55900 KB Output is correct
124 Correct 13 ms 60248 KB Output is correct
125 Correct 13 ms 59992 KB Output is correct
126 Correct 14 ms 60244 KB Output is correct
127 Correct 13 ms 59996 KB Output is correct
128 Correct 13 ms 60148 KB Output is correct
129 Correct 14 ms 59996 KB Output is correct
130 Correct 13 ms 56156 KB Output is correct
131 Correct 12 ms 55896 KB Output is correct
132 Correct 24 ms 66128 KB Output is correct
133 Correct 28 ms 66140 KB Output is correct
134 Correct 31 ms 68376 KB Output is correct
135 Correct 31 ms 65732 KB Output is correct
136 Correct 30 ms 65732 KB Output is correct
137 Correct 21 ms 66136 KB Output is correct
138 Correct 21 ms 65884 KB Output is correct
139 Correct 28 ms 71772 KB Output is correct
140 Correct 19 ms 65564 KB Output is correct
141 Correct 23 ms 61912 KB Output is correct
142 Correct 24 ms 66140 KB Output is correct
143 Correct 23 ms 61924 KB Output is correct
144 Correct 30 ms 66900 KB Output is correct
145 Correct 21 ms 65628 KB Output is correct
146 Correct 30 ms 65912 KB Output is correct
147 Correct 23 ms 66648 KB Output is correct
148 Correct 22 ms 65436 KB Output is correct
149 Correct 24 ms 70344 KB Output is correct
150 Correct 27 ms 67400 KB Output is correct
151 Correct 23 ms 69396 KB Output is correct
152 Runtime error 280 ms 174276 KB Execution killed with signal 11
153 Halted 0 ms 0 KB -