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Submission #674505

# Submission time Handle Problem Language Result Execution time Memory
674505 2022-12-24T15:49:19 Z stanislavpolyn The short shank; Redemption (BOI21_prison) C++17
100 / 100
 1286 ms 447272 KB 
#include <bits/stdc++.h>

#define fr(i, a, b) for (int i = (a); i <= (b); i++)
#define rf(i, a, b) for (int i = (a); i >= (b); i--)
#define fe(x, y) for (auto& x : y)

#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define mt make_tuple

#define pw(x) (1LL << (x))
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

using namespace std;

mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template <typename T>
using oset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define fbo find_by_order
#define ook order_of_key

template <typename T>
bool umn(T& a, T b) {
    return a > b ? a = b, 1 : 0;
}
template <typename T>
bool umx(T& a, T b) {
    return a < b ? a = b, 1 : 0;
}

using ll = long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <typename T>
using ve = vector<T>;

const int N = 2e6 + 5;

int n, d, T;
int a[N];

ve<int> del[N];
ve<int> add[N];
set<int> s;
int p[N];
int pi[N];
ve<int> g[N];
int total;
bool alive[N];
bool mark[N];

pii dp[N];
int dep[N];

void dfs(int v) {
    pii mx = {int(-1e9), -1};
    fe (to, g[v]) {
        dep[to] = dep[v] + 1;
        dfs(to);
        umx(mx, dp[to]);
    }
    umx(mx, mp(dep[v], v));
    dp[v] = mx;
}

set<pii> q;

int main() {
#ifndef LOCAL
    // freopen("input.txt", "r", stdin);
    // freopen("output.txt", "w", stdout);
    ios::sync_with_stdio(0);
    cin.tie(0);
#else
    // freopen("input.txt", "r", stdin);
    // freopen("output.txt", "w", stdout);
#endif

    cin >> n >> d >> T;

    fr (i, 1, n) {
        cin >> a[i];
    }

    {
        fr (i, 1, n) {
            fe (cur, del[i]) s.erase(cur);
            if (a[i] <= T) {
                s.insert(i);
                if (i + T - a[i] + 1 <= n) {
                    del[i + T - a[i] + 1].pb(i);
                }
            }
            p[i] = sz(s) ? *s.rbegin() : -1;
        }
    }

    fr (i, 1, n) {
        del[i].clear();
        add[i].clear();
    }

    fr (i, 1, n) {
        if (p[i] == -1) continue;

        if (p[i] + 1 <= i) {
            add[p[i] + 1].pb(i);
            del[i].pb(i);
            // cout << p[i] + 1 << " " << i - 1 << " " << i << "\n";
        }
    }

    s.clear();
    fr (i, 1, n) {
        fe (x, add[i]) s.insert(x);
        fe (x, del[i]) s.erase(x);

        pi[i] = sz(s) ? *s.begin() : 0;
    }

    // fr (i, 1, n) {
    //     cout << p[i] << " ";
    // }
    // cout << "\n";

    // fr (i, 1, n) {
    //     cout << pi[i] << " ";
    // }
    // cout << "\n";

    fr (i, 1, n) {
        if (p[i] != -1) total++;
        if (p[i] == i || p[i] == -1) continue;

        alive[i] = 1;

        // cout << "vertex: " << i << "\n";

        if (pi[i]) {
            g[pi[i]].pb(i);
            // cout << pi[i] << " " << i << "\n";
        }
    }

    // cout << total << "\n";

    fr (i, 1, n) {
        if (alive[i] && !pi[i]) {
            dfs(i);
            q.insert(dp[i]);
        }
    }

    while (sz(q) && d > 0) {
        d--;
        int v = (--q.end())->se;
        q.erase(--q.end());

        while (!mark[v]) {
            mark[v] = 1;
            fe (to, g[v]) {
                if (!mark[to]) {
                    q.insert({dp[to].fi - dep[v] - 1, dp[to].se});
                }
            }

            if (!pi[v]) break;
            v = pi[v];
        }
    }

    fr (i, 1, n) {
        if (mark[i]) {
            total--;
        }
    }

    cout << total << "\n";

    // fr (i, 1, n) {
    //     cout << pi[i] << " ";
    // }
    // cout << "\n";

    return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 141260 KB Output is correct
2 Correct 63 ms 141244 KB Output is correct
3 Correct 63 ms 141296 KB Output is correct
4 Correct 64 ms 141260 KB Output is correct
5 Correct 64 ms 141260 KB Output is correct
6 Correct 72 ms 141228 KB Output is correct
7 Correct 63 ms 141340 KB Output is correct
8 Correct 64 ms 141272 KB Output is correct
9 Correct 64 ms 141248 KB Output is correct
10 Correct 63 ms 141296 KB Output is correct
11 Correct 63 ms 141220 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 65 ms 141132 KB Output is correct
2 Correct 293 ms 181256 KB Output is correct
3 Correct 231 ms 182708 KB Output is correct
4 Correct 249 ms 183156 KB Output is correct
5 Correct 230 ms 179736 KB Output is correct
6 Correct 197 ms 179080 KB Output is correct
7 Correct 339 ms 237976 KB Output is correct
8 Correct 212 ms 185252 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 141260 KB Output is correct
2 Correct 63 ms 141244 KB Output is correct
3 Correct 63 ms 141296 KB Output is correct
4 Correct 64 ms 141260 KB Output is correct
5 Correct 64 ms 141260 KB Output is correct
6 Correct 72 ms 141228 KB Output is correct
7 Correct 63 ms 141340 KB Output is correct
8 Correct 64 ms 141272 KB Output is correct
9 Correct 64 ms 141248 KB Output is correct
10 Correct 63 ms 141296 KB Output is correct
11 Correct 63 ms 141220 KB Output is correct
12 Correct 68 ms 141240 KB Output is correct
13 Correct 68 ms 141260 KB Output is correct
14 Correct 90 ms 141252 KB Output is correct
15 Correct 64 ms 141248 KB Output is correct
16 Correct 73 ms 141304 KB Output is correct
17 Correct 65 ms 141284 KB Output is correct
18 Correct 64 ms 141292 KB Output is correct
19 Correct 71 ms 141208 KB Output is correct
20 Correct 64 ms 141196 KB Output is correct
21 Correct 69 ms 141296 KB Output is correct
22 Correct 69 ms 141260 KB Output is correct
23 Correct 68 ms 141536 KB Output is correct
24 Correct 68 ms 141544 KB Output is correct
25 Correct 68 ms 141528 KB Output is correct
26 Correct 67 ms 141500 KB Output is correct
27 Correct 68 ms 141516 KB Output is correct
28 Correct 65 ms 141516 KB Output is correct
29 Correct 75 ms 141612 KB Output is correct
30 Correct 64 ms 141556 KB Output is correct
31 Correct 66 ms 141624 KB Output is correct
32 Correct 66 ms 141496 KB Output is correct
33 Correct 67 ms 141492 KB Output is correct
34 Correct 65 ms 141496 KB Output is correct
35 Correct 66 ms 141616 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 141228 KB Output is correct
2 Correct 89 ms 147640 KB Output is correct
3 Correct 95 ms 147268 KB Output is correct
4 Correct 94 ms 150108 KB Output is correct
5 Correct 110 ms 152120 KB Output is correct
6 Correct 107 ms 152268 KB Output is correct
7 Correct 85 ms 146884 KB Output is correct
8 Correct 82 ms 146200 KB Output is correct
9 Correct 98 ms 155700 KB Output is correct
10 Correct 83 ms 148008 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 141260 KB Output is correct
2 Correct 63 ms 141244 KB Output is correct
3 Correct 63 ms 141296 KB Output is correct
4 Correct 64 ms 141260 KB Output is correct
5 Correct 64 ms 141260 KB Output is correct
6 Correct 72 ms 141228 KB Output is correct
7 Correct 63 ms 141340 KB Output is correct
8 Correct 64 ms 141272 KB Output is correct
9 Correct 64 ms 141248 KB Output is correct
10 Correct 63 ms 141296 KB Output is correct
11 Correct 63 ms 141220 KB Output is correct
12 Correct 68 ms 141240 KB Output is correct
13 Correct 68 ms 141260 KB Output is correct
14 Correct 90 ms 141252 KB Output is correct
15 Correct 64 ms 141248 KB Output is correct
16 Correct 73 ms 141304 KB Output is correct
17 Correct 65 ms 141284 KB Output is correct
18 Correct 64 ms 141292 KB Output is correct
19 Correct 71 ms 141208 KB Output is correct
20 Correct 64 ms 141196 KB Output is correct
21 Correct 69 ms 141296 KB Output is correct
22 Correct 69 ms 141260 KB Output is correct
23 Correct 68 ms 141536 KB Output is correct
24 Correct 68 ms 141544 KB Output is correct
25 Correct 68 ms 141528 KB Output is correct
26 Correct 67 ms 141500 KB Output is correct
27 Correct 68 ms 141516 KB Output is correct
28 Correct 65 ms 141516 KB Output is correct
29 Correct 75 ms 141612 KB Output is correct
30 Correct 64 ms 141556 KB Output is correct
31 Correct 66 ms 141624 KB Output is correct
32 Correct 66 ms 141496 KB Output is correct
33 Correct 67 ms 141492 KB Output is correct
34 Correct 65 ms 141496 KB Output is correct
35 Correct 66 ms 141616 KB Output is correct
36 Correct 64 ms 141228 KB Output is correct
37 Correct 89 ms 147640 KB Output is correct
38 Correct 95 ms 147268 KB Output is correct
39 Correct 94 ms 150108 KB Output is correct
40 Correct 110 ms 152120 KB Output is correct
41 Correct 107 ms 152268 KB Output is correct
42 Correct 85 ms 146884 KB Output is correct
43 Correct 82 ms 146200 KB Output is correct
44 Correct 98 ms 155700 KB Output is correct
45 Correct 83 ms 148008 KB Output is correct
46 Correct 64 ms 141364 KB Output is correct
47 Correct 68 ms 141232 KB Output is correct
48 Correct 69 ms 141196 KB Output is correct
49 Correct 64 ms 141216 KB Output is correct
50 Correct 64 ms 141232 KB Output is correct
51 Correct 63 ms 141288 KB Output is correct
52 Correct 64 ms 141224 KB Output is correct
53 Correct 67 ms 141232 KB Output is correct
54 Correct 63 ms 141260 KB Output is correct
55 Correct 68 ms 141268 KB Output is correct
56 Correct 67 ms 141220 KB Output is correct
57 Correct 65 ms 141620 KB Output is correct
58 Correct 68 ms 141516 KB Output is correct
59 Correct 71 ms 141548 KB Output is correct
60 Correct 65 ms 141608 KB Output is correct
61 Correct 65 ms 141584 KB Output is correct
62 Correct 65 ms 141480 KB Output is correct
63 Correct 66 ms 141612 KB Output is correct
64 Correct 66 ms 141516 KB Output is correct
65 Correct 70 ms 141548 KB Output is correct
66 Correct 66 ms 141520 KB Output is correct
67 Correct 65 ms 141580 KB Output is correct
68 Correct 65 ms 141516 KB Output is correct
69 Correct 66 ms 141588 KB Output is correct
70 Correct 63 ms 141252 KB Output is correct
71 Correct 88 ms 147612 KB Output is correct
72 Correct 97 ms 147288 KB Output is correct
73 Correct 94 ms 150140 KB Output is correct
74 Correct 98 ms 152012 KB Output is correct
75 Correct 95 ms 152324 KB Output is correct
76 Correct 81 ms 146776 KB Output is correct
77 Correct 82 ms 146236 KB Output is correct
78 Correct 97 ms 155716 KB Output is correct
79 Correct 84 ms 148092 KB Output is correct
80 Correct 91 ms 147312 KB Output is correct
81 Correct 87 ms 147700 KB Output is correct
82 Correct 91 ms 147324 KB Output is correct
83 Correct 93 ms 148992 KB Output is correct
84 Correct 93 ms 147076 KB Output is correct
85 Correct 102 ms 152516 KB Output is correct
86 Correct 89 ms 148608 KB Output is correct
87 Correct 81 ms 146360 KB Output is correct
88 Correct 97 ms 153400 KB Output is correct
89 Correct 106 ms 155244 KB Output is correct
90 Correct 94 ms 152412 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 64 ms 141260 KB Output is correct
2 Correct 63 ms 141244 KB Output is correct
3 Correct 63 ms 141296 KB Output is correct
4 Correct 64 ms 141260 KB Output is correct
5 Correct 64 ms 141260 KB Output is correct
6 Correct 72 ms 141228 KB Output is correct
7 Correct 63 ms 141340 KB Output is correct
8 Correct 64 ms 141272 KB Output is correct
9 Correct 64 ms 141248 KB Output is correct
10 Correct 63 ms 141296 KB Output is correct
11 Correct 63 ms 141220 KB Output is correct
12 Correct 65 ms 141132 KB Output is correct
13 Correct 293 ms 181256 KB Output is correct
14 Correct 231 ms 182708 KB Output is correct
15 Correct 249 ms 183156 KB Output is correct
16 Correct 230 ms 179736 KB Output is correct
17 Correct 197 ms 179080 KB Output is correct
18 Correct 339 ms 237976 KB Output is correct
19 Correct 212 ms 185252 KB Output is correct
20 Correct 68 ms 141240 KB Output is correct
21 Correct 68 ms 141260 KB Output is correct
22 Correct 90 ms 141252 KB Output is correct
23 Correct 64 ms 141248 KB Output is correct
24 Correct 73 ms 141304 KB Output is correct
25 Correct 65 ms 141284 KB Output is correct
26 Correct 64 ms 141292 KB Output is correct
27 Correct 71 ms 141208 KB Output is correct
28 Correct 64 ms 141196 KB Output is correct
29 Correct 69 ms 141296 KB Output is correct
30 Correct 69 ms 141260 KB Output is correct
31 Correct 68 ms 141536 KB Output is correct
32 Correct 68 ms 141544 KB Output is correct
33 Correct 68 ms 141528 KB Output is correct
34 Correct 67 ms 141500 KB Output is correct
35 Correct 68 ms 141516 KB Output is correct
36 Correct 65 ms 141516 KB Output is correct
37 Correct 75 ms 141612 KB Output is correct
38 Correct 64 ms 141556 KB Output is correct
39 Correct 66 ms 141624 KB Output is correct
40 Correct 66 ms 141496 KB Output is correct
41 Correct 67 ms 141492 KB Output is correct
42 Correct 65 ms 141496 KB Output is correct
43 Correct 66 ms 141616 KB Output is correct
44 Correct 64 ms 141228 KB Output is correct
45 Correct 89 ms 147640 KB Output is correct
46 Correct 95 ms 147268 KB Output is correct
47 Correct 94 ms 150108 KB Output is correct
48 Correct 110 ms 152120 KB Output is correct
49 Correct 107 ms 152268 KB Output is correct
50 Correct 85 ms 146884 KB Output is correct
51 Correct 82 ms 146200 KB Output is correct
52 Correct 98 ms 155700 KB Output is correct
53 Correct 83 ms 148008 KB Output is correct
54 Correct 64 ms 141364 KB Output is correct
55 Correct 68 ms 141232 KB Output is correct
56 Correct 69 ms 141196 KB Output is correct
57 Correct 64 ms 141216 KB Output is correct
58 Correct 64 ms 141232 KB Output is correct
59 Correct 63 ms 141288 KB Output is correct
60 Correct 64 ms 141224 KB Output is correct
61 Correct 67 ms 141232 KB Output is correct
62 Correct 63 ms 141260 KB Output is correct
63 Correct 68 ms 141268 KB Output is correct
64 Correct 67 ms 141220 KB Output is correct
65 Correct 65 ms 141620 KB Output is correct
66 Correct 68 ms 141516 KB Output is correct
67 Correct 71 ms 141548 KB Output is correct
68 Correct 65 ms 141608 KB Output is correct
69 Correct 65 ms 141584 KB Output is correct
70 Correct 65 ms 141480 KB Output is correct
71 Correct 66 ms 141612 KB Output is correct
72 Correct 66 ms 141516 KB Output is correct
73 Correct 70 ms 141548 KB Output is correct
74 Correct 66 ms 141520 KB Output is correct
75 Correct 65 ms 141580 KB Output is correct
76 Correct 65 ms 141516 KB Output is correct
77 Correct 66 ms 141588 KB Output is correct
78 Correct 63 ms 141252 KB Output is correct
79 Correct 88 ms 147612 KB Output is correct
80 Correct 97 ms 147288 KB Output is correct
81 Correct 94 ms 150140 KB Output is correct
82 Correct 98 ms 152012 KB Output is correct
83 Correct 95 ms 152324 KB Output is correct
84 Correct 81 ms 146776 KB Output is correct
85 Correct 82 ms 146236 KB Output is correct
86 Correct 97 ms 155716 KB Output is correct
87 Correct 84 ms 148092 KB Output is correct
88 Correct 91 ms 147312 KB Output is correct
89 Correct 87 ms 147700 KB Output is correct
90 Correct 91 ms 147324 KB Output is correct
91 Correct 93 ms 148992 KB Output is correct
92 Correct 93 ms 147076 KB Output is correct
93 Correct 102 ms 152516 KB Output is correct
94 Correct 89 ms 148608 KB Output is correct
95 Correct 81 ms 146360 KB Output is correct
96 Correct 97 ms 153400 KB Output is correct
97 Correct 106 ms 155244 KB Output is correct
98 Correct 94 ms 152412 KB Output is correct
99 Correct 64 ms 141196 KB Output is correct
100 Correct 66 ms 141228 KB Output is correct
101 Correct 63 ms 141268 KB Output is correct
102 Correct 63 ms 141280 KB Output is correct
103 Correct 63 ms 141244 KB Output is correct
104 Correct 65 ms 141236 KB Output is correct
105 Correct 65 ms 141260 KB Output is correct
106 Correct 64 ms 141296 KB Output is correct
107 Correct 65 ms 141260 KB Output is correct
108 Correct 68 ms 141260 KB Output is correct
109 Correct 68 ms 141292 KB Output is correct
110 Correct 66 ms 141184 KB Output is correct
111 Correct 292 ms 181384 KB Output is correct
112 Correct 225 ms 182788 KB Output is correct
113 Correct 243 ms 183168 KB Output is correct
114 Correct 222 ms 179640 KB Output is correct
115 Correct 194 ms 179084 KB Output is correct
116 Correct 341 ms 238064 KB Output is correct
117 Correct 219 ms 185352 KB Output is correct
118 Correct 66 ms 141516 KB Output is correct
119 Correct 67 ms 141608 KB Output is correct
120 Correct 68 ms 141640 KB Output is correct
121 Correct 66 ms 141608 KB Output is correct
122 Correct 64 ms 141508 KB Output is correct
123 Correct 66 ms 141532 KB Output is correct
124 Correct 66 ms 141512 KB Output is correct
125 Correct 69 ms 141472 KB Output is correct
126 Correct 68 ms 141560 KB Output is correct
127 Correct 65 ms 141516 KB Output is correct
128 Correct 66 ms 141520 KB Output is correct
129 Correct 64 ms 141480 KB Output is correct
130 Correct 65 ms 141640 KB Output is correct
131 Correct 67 ms 141184 KB Output is correct
132 Correct 93 ms 147660 KB Output is correct
133 Correct 92 ms 147336 KB Output is correct
134 Correct 99 ms 150200 KB Output is correct
135 Correct 98 ms 152124 KB Output is correct
136 Correct 110 ms 152256 KB Output is correct
137 Correct 82 ms 146828 KB Output is correct
138 Correct 81 ms 146240 KB Output is correct
139 Correct 104 ms 155728 KB Output is correct
140 Correct 83 ms 148000 KB Output is correct
141 Correct 96 ms 147388 KB Output is correct
142 Correct 91 ms 147724 KB Output is correct
143 Correct 100 ms 147352 KB Output is correct
144 Correct 93 ms 148824 KB Output is correct
145 Correct 87 ms 147100 KB Output is correct
146 Correct 98 ms 152536 KB Output is correct
147 Correct 90 ms 148572 KB Output is correct
148 Correct 83 ms 146328 KB Output is correct
149 Correct 95 ms 153404 KB Output is correct
150 Correct 98 ms 155196 KB Output is correct
151 Correct 100 ms 152460 KB Output is correct
152 Correct 1184 ms 303744 KB Output is correct
153 Correct 775 ms 304404 KB Output is correct
154 Correct 828 ms 306744 KB Output is correct
155 Correct 1038 ms 345472 KB Output is correct
156 Correct 843 ms 304208 KB Output is correct
157 Correct 532 ms 258556 KB Output is correct
158 Correct 637 ms 308220 KB Output is correct
159 Correct 1286 ms 447272 KB Output is correct
160 Correct 1175 ms 431328 KB Output is correct
161 Correct 620 ms 298780 KB Output is correct
162 Correct 631 ms 303852 KB Output is correct