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Submission #659397

# Submission time Handle Problem Language Result Execution time Memory
659397 2022-11-17T15:34:33 Z 600Mihnea The short shank; Redemption (BOI21_prison) C++17
80 / 100
 2000 ms 131684 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 2000000 + 7;
const int INF = (int) 1e9 + 7;
int n;
int d;
int t;
int trebel[N];
bool block[N];
int ant[N];
bool valid[N];
set<int> valids;

pair<int, int> tree_min_valid[4 * N];

void st_valid(int v, int tl, int tr, int i, int x) {
  if (tr < i || i < tl) {
    return;
  }
  if (tl == tr) {
    tree_min_valid[v] = {x, i};
    return;
  }
  int tm = (tl + tr) / 2;
  st_valid(2 * v, tl, tm, i, x);
  st_valid(2 * v + 1, tm + 1, tr, i, x);
  tree_min_valid[v] = min(tree_min_valid[2 * v], tree_min_valid[2 * v + 1]);
}

pair<int, int> get_min_valid(int v, int tl, int tr, int l, int r) {
  if (tr < l || r < tl) {
    return {INF, -1};
  }
  if (l <= tl && tr <= r) {
    return tree_min_valid[v];
  }
  int tm = (tl + tr) / 2;
  return min(get_min_valid(2 * v, tl, tm, l, r), get_min_valid(2 * v + 1, tm + 1, tr, l, r));
}

pair<int, int> tree[4 * N];
int lazy[4 * N];

void add(int v, int tl, int tr, int l, int r, int x) {
  if (lazy[v]) {
    tree[v].first += lazy[v];
    if (tl < tr) {
      lazy[2 * v] += lazy[v];
      lazy[2 * v + 1] += lazy[v];
    }
    lazy[v] = 0;
  }
  if (tr < l || r < tl) {
    return;
  }
  if (l <= tl && tr <= r) {
    tree[v].first += x;
    if (tl < tr) {
      lazy[2 * v] += x;
      lazy[2 * v + 1] += x;
    }
    return;
  }
  int tm = (tl + tr) / 2;
  add(2 * v, tl, tm, l, r, x);
  add(2 * v + 1, tm + 1, tr, l, r, x);
  tree[v] = max(tree[2 * v], tree[2 * v + 1]);
}

void build(int v, int tl, int tr) {
  if (tl == tr) {
    tree[v] = {0, tl};
  } else {
    int tm = (tl + tr) / 2;
    build(2 * v, tl, tm);
    build(2 * v + 1, tm + 1, tr);
    tree[v] = max(tree[2 * v], tree[2 * v + 1]);
  }
}

int main() {
  ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

  for (int i = 0; i < 4 * N; i++) {
    tree_min_valid[i] = {INF, -1};
  }

  cin >> n >> d >> t;
  for (int i = 1; i <= n; i++) {
    cin >> trebel[i];
  }
  build(1, 1, n - 1);
  vector<int> stk;
  for (int i = 1; i <= n; i++) {
    while (!stk.empty() && trebel[stk.back()] - stk.back() >= trebel[i] - i) {
      stk.pop_back();
    }
    stk.push_back(i);
    int L = 0, R = (int) stk.size() - 1;
    while (L <= R) {
      int mid = (L + R) / 2;
      int j = stk[mid];
      if (trebel[j] + i - j <= t) {
        ant[i] = j;
        L = mid + 1;
      } else {
        R = mid - 1;
      }
    }
  }
  for (int i = 1; i <= n; i++) {
    valid[i] = (ant[i] > 0);
    if (valid[i]) {
      st_valid(1, 1, n, i, ant[i]);
    }
  }
  for (int j = 1; j <= n; j++) {
    if (valid[j]) {
      add(1, 1, n - 1, ant[j], j, +1);
    }
  }

  for (int iqd = 1; iqd <= d; iqd++) {
    int jj = tree[1].second;
    add(1, 1, n - 1, jj, jj, -(int) 1e9);
    block[jj] = 1;
    while (1) {
      auto it = get_min_valid(1, 1, n, jj + 1, n);
      int j = it.second;
      if (it.first <= jj) {
        valid[j] = 0;
        if (ant[j] <= j - 1) {
          add(1, 1, n - 1, ant[j], j - 1, -1);
        }
        st_valid(1, 1, n, j, INF);
      } else {
        break;
      }
    }
  }
  int sol = 0;
  for (int i = 1; i <= n; i++) {
    sol += valid[i];
  }
  cout << sol << "\n";

  return 0;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 62928 KB Output is correct
2 Correct 28 ms 62924 KB Output is correct
3 Correct 28 ms 62932 KB Output is correct
4 Correct 28 ms 62940 KB Output is correct
5 Correct 28 ms 62900 KB Output is correct
6 Correct 30 ms 62932 KB Output is correct
7 Correct 29 ms 62924 KB Output is correct
8 Correct 29 ms 62980 KB Output is correct
9 Correct 28 ms 63052 KB Output is correct
10 Correct 29 ms 62956 KB Output is correct
11 Correct 30 ms 62980 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 62964 KB Output is correct
2 Correct 281 ms 79196 KB Output is correct
3 Correct 283 ms 78812 KB Output is correct
4 Correct 312 ms 79780 KB Output is correct
5 Correct 277 ms 79576 KB Output is correct
6 Correct 251 ms 78080 KB Output is correct
7 Correct 735 ms 79776 KB Output is correct
8 Correct 288 ms 79316 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 62928 KB Output is correct
2 Correct 28 ms 62924 KB Output is correct
3 Correct 28 ms 62932 KB Output is correct
4 Correct 28 ms 62940 KB Output is correct
5 Correct 28 ms 62900 KB Output is correct
6 Correct 30 ms 62932 KB Output is correct
7 Correct 29 ms 62924 KB Output is correct
8 Correct 29 ms 62980 KB Output is correct
9 Correct 28 ms 63052 KB Output is correct
10 Correct 29 ms 62956 KB Output is correct
11 Correct 30 ms 62980 KB Output is correct
12 Correct 29 ms 62940 KB Output is correct
13 Correct 28 ms 62972 KB Output is correct
14 Correct 30 ms 62956 KB Output is correct
15 Correct 29 ms 62984 KB Output is correct
16 Correct 31 ms 62912 KB Output is correct
17 Correct 31 ms 62932 KB Output is correct
18 Correct 31 ms 62928 KB Output is correct
19 Correct 31 ms 62964 KB Output is correct
20 Correct 31 ms 62888 KB Output is correct
21 Correct 34 ms 62920 KB Output is correct
22 Correct 32 ms 62900 KB Output is correct
23 Correct 31 ms 63084 KB Output is correct
24 Correct 35 ms 63052 KB Output is correct
25 Correct 34 ms 63084 KB Output is correct
26 Correct 31 ms 63020 KB Output is correct
27 Correct 33 ms 63112 KB Output is correct
28 Correct 39 ms 63060 KB Output is correct
29 Correct 30 ms 63100 KB Output is correct
30 Correct 31 ms 63096 KB Output is correct
31 Correct 35 ms 63060 KB Output is correct
32 Correct 30 ms 63060 KB Output is correct
33 Correct 30 ms 63060 KB Output is correct
34 Correct 36 ms 63092 KB Output is correct
35 Correct 30 ms 63060 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 62904 KB Output is correct
2 Correct 72 ms 66684 KB Output is correct
3 Correct 64 ms 66572 KB Output is correct
4 Correct 92 ms 66688 KB Output is correct
5 Correct 101 ms 66588 KB Output is correct
6 Correct 99 ms 66520 KB Output is correct
7 Correct 62 ms 66380 KB Output is correct
8 Correct 69 ms 66216 KB Output is correct
9 Correct 120 ms 66672 KB Output is correct
10 Correct 58 ms 66380 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 62928 KB Output is correct
2 Correct 28 ms 62924 KB Output is correct
3 Correct 28 ms 62932 KB Output is correct
4 Correct 28 ms 62940 KB Output is correct
5 Correct 28 ms 62900 KB Output is correct
6 Correct 30 ms 62932 KB Output is correct
7 Correct 29 ms 62924 KB Output is correct
8 Correct 29 ms 62980 KB Output is correct
9 Correct 28 ms 63052 KB Output is correct
10 Correct 29 ms 62956 KB Output is correct
11 Correct 30 ms 62980 KB Output is correct
12 Correct 29 ms 62940 KB Output is correct
13 Correct 28 ms 62972 KB Output is correct
14 Correct 30 ms 62956 KB Output is correct
15 Correct 29 ms 62984 KB Output is correct
16 Correct 31 ms 62912 KB Output is correct
17 Correct 31 ms 62932 KB Output is correct
18 Correct 31 ms 62928 KB Output is correct
19 Correct 31 ms 62964 KB Output is correct
20 Correct 31 ms 62888 KB Output is correct
21 Correct 34 ms 62920 KB Output is correct
22 Correct 32 ms 62900 KB Output is correct
23 Correct 31 ms 63084 KB Output is correct
24 Correct 35 ms 63052 KB Output is correct
25 Correct 34 ms 63084 KB Output is correct
26 Correct 31 ms 63020 KB Output is correct
27 Correct 33 ms 63112 KB Output is correct
28 Correct 39 ms 63060 KB Output is correct
29 Correct 30 ms 63100 KB Output is correct
30 Correct 31 ms 63096 KB Output is correct
31 Correct 35 ms 63060 KB Output is correct
32 Correct 30 ms 63060 KB Output is correct
33 Correct 30 ms 63060 KB Output is correct
34 Correct 36 ms 63092 KB Output is correct
35 Correct 30 ms 63060 KB Output is correct
36 Correct 31 ms 62904 KB Output is correct
37 Correct 72 ms 66684 KB Output is correct
38 Correct 64 ms 66572 KB Output is correct
39 Correct 92 ms 66688 KB Output is correct
40 Correct 101 ms 66588 KB Output is correct
41 Correct 99 ms 66520 KB Output is correct
42 Correct 62 ms 66380 KB Output is correct
43 Correct 69 ms 66216 KB Output is correct
44 Correct 120 ms 66672 KB Output is correct
45 Correct 58 ms 66380 KB Output is correct
46 Correct 29 ms 62888 KB Output is correct
47 Correct 28 ms 62956 KB Output is correct
48 Correct 28 ms 62960 KB Output is correct
49 Correct 30 ms 62932 KB Output is correct
50 Correct 30 ms 62948 KB Output is correct
51 Correct 30 ms 62892 KB Output is correct
52 Correct 37 ms 62932 KB Output is correct
53 Correct 28 ms 62924 KB Output is correct
54 Correct 28 ms 62972 KB Output is correct
55 Correct 28 ms 62996 KB Output is correct
56 Correct 29 ms 62924 KB Output is correct
57 Correct 35 ms 63020 KB Output is correct
58 Correct 30 ms 63092 KB Output is correct
59 Correct 31 ms 63100 KB Output is correct
60 Correct 30 ms 63120 KB Output is correct
61 Correct 30 ms 63060 KB Output is correct
62 Correct 30 ms 63064 KB Output is correct
63 Correct 34 ms 63028 KB Output is correct
64 Correct 40 ms 63112 KB Output is correct
65 Correct 32 ms 63100 KB Output is correct
66 Correct 33 ms 63056 KB Output is correct
67 Correct 30 ms 63060 KB Output is correct
68 Correct 31 ms 63032 KB Output is correct
69 Correct 32 ms 63068 KB Output is correct
70 Correct 31 ms 62952 KB Output is correct
71 Correct 68 ms 66644 KB Output is correct
72 Correct 66 ms 66644 KB Output is correct
73 Correct 97 ms 66728 KB Output is correct
74 Correct 100 ms 66636 KB Output is correct
75 Correct 103 ms 66612 KB Output is correct
76 Correct 59 ms 66360 KB Output is correct
77 Correct 62 ms 66172 KB Output is correct
78 Correct 123 ms 66676 KB Output is correct
79 Correct 64 ms 66380 KB Output is correct
80 Correct 77 ms 66612 KB Output is correct
81 Correct 97 ms 66692 KB Output is correct
82 Correct 112 ms 66688 KB Output is correct
83 Correct 95 ms 66768 KB Output is correct
84 Correct 88 ms 66664 KB Output is correct
85 Correct 108 ms 66676 KB Output is correct
86 Correct 94 ms 66640 KB Output is correct
87 Correct 86 ms 66424 KB Output is correct
88 Correct 102 ms 66624 KB Output is correct
89 Correct 96 ms 66716 KB Output is correct
90 Correct 89 ms 66616 KB Output is correct

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 62928 KB Output is correct
2 Correct 28 ms 62924 KB Output is correct
3 Correct 28 ms 62932 KB Output is correct
4 Correct 28 ms 62940 KB Output is correct
5 Correct 28 ms 62900 KB Output is correct
6 Correct 30 ms 62932 KB Output is correct
7 Correct 29 ms 62924 KB Output is correct
8 Correct 29 ms 62980 KB Output is correct
9 Correct 28 ms 63052 KB Output is correct
10 Correct 29 ms 62956 KB Output is correct
11 Correct 30 ms 62980 KB Output is correct
12 Correct 34 ms 62964 KB Output is correct
13 Correct 281 ms 79196 KB Output is correct
14 Correct 283 ms 78812 KB Output is correct
15 Correct 312 ms 79780 KB Output is correct
16 Correct 277 ms 79576 KB Output is correct
17 Correct 251 ms 78080 KB Output is correct
18 Correct 735 ms 79776 KB Output is correct
19 Correct 288 ms 79316 KB Output is correct
20 Correct 29 ms 62940 KB Output is correct
21 Correct 28 ms 62972 KB Output is correct
22 Correct 30 ms 62956 KB Output is correct
23 Correct 29 ms 62984 KB Output is correct
24 Correct 31 ms 62912 KB Output is correct
25 Correct 31 ms 62932 KB Output is correct
26 Correct 31 ms 62928 KB Output is correct
27 Correct 31 ms 62964 KB Output is correct
28 Correct 31 ms 62888 KB Output is correct
29 Correct 34 ms 62920 KB Output is correct
30 Correct 32 ms 62900 KB Output is correct
31 Correct 31 ms 63084 KB Output is correct
32 Correct 35 ms 63052 KB Output is correct
33 Correct 34 ms 63084 KB Output is correct
34 Correct 31 ms 63020 KB Output is correct
35 Correct 33 ms 63112 KB Output is correct
36 Correct 39 ms 63060 KB Output is correct
37 Correct 30 ms 63100 KB Output is correct
38 Correct 31 ms 63096 KB Output is correct
39 Correct 35 ms 63060 KB Output is correct
40 Correct 30 ms 63060 KB Output is correct
41 Correct 30 ms 63060 KB Output is correct
42 Correct 36 ms 63092 KB Output is correct
43 Correct 30 ms 63060 KB Output is correct
44 Correct 31 ms 62904 KB Output is correct
45 Correct 72 ms 66684 KB Output is correct
46 Correct 64 ms 66572 KB Output is correct
47 Correct 92 ms 66688 KB Output is correct
48 Correct 101 ms 66588 KB Output is correct
49 Correct 99 ms 66520 KB Output is correct
50 Correct 62 ms 66380 KB Output is correct
51 Correct 69 ms 66216 KB Output is correct
52 Correct 120 ms 66672 KB Output is correct
53 Correct 58 ms 66380 KB Output is correct
54 Correct 29 ms 62888 KB Output is correct
55 Correct 28 ms 62956 KB Output is correct
56 Correct 28 ms 62960 KB Output is correct
57 Correct 30 ms 62932 KB Output is correct
58 Correct 30 ms 62948 KB Output is correct
59 Correct 30 ms 62892 KB Output is correct
60 Correct 37 ms 62932 KB Output is correct
61 Correct 28 ms 62924 KB Output is correct
62 Correct 28 ms 62972 KB Output is correct
63 Correct 28 ms 62996 KB Output is correct
64 Correct 29 ms 62924 KB Output is correct
65 Correct 35 ms 63020 KB Output is correct
66 Correct 30 ms 63092 KB Output is correct
67 Correct 31 ms 63100 KB Output is correct
68 Correct 30 ms 63120 KB Output is correct
69 Correct 30 ms 63060 KB Output is correct
70 Correct 30 ms 63064 KB Output is correct
71 Correct 34 ms 63028 KB Output is correct
72 Correct 40 ms 63112 KB Output is correct
73 Correct 32 ms 63100 KB Output is correct
74 Correct 33 ms 63056 KB Output is correct
75 Correct 30 ms 63060 KB Output is correct
76 Correct 31 ms 63032 KB Output is correct
77 Correct 32 ms 63068 KB Output is correct
78 Correct 31 ms 62952 KB Output is correct
79 Correct 68 ms 66644 KB Output is correct
80 Correct 66 ms 66644 KB Output is correct
81 Correct 97 ms 66728 KB Output is correct
82 Correct 100 ms 66636 KB Output is correct
83 Correct 103 ms 66612 KB Output is correct
84 Correct 59 ms 66360 KB Output is correct
85 Correct 62 ms 66172 KB Output is correct
86 Correct 123 ms 66676 KB Output is correct
87 Correct 64 ms 66380 KB Output is correct
88 Correct 77 ms 66612 KB Output is correct
89 Correct 97 ms 66692 KB Output is correct
90 Correct 112 ms 66688 KB Output is correct
91 Correct 95 ms 66768 KB Output is correct
92 Correct 88 ms 66664 KB Output is correct
93 Correct 108 ms 66676 KB Output is correct
94 Correct 94 ms 66640 KB Output is correct
95 Correct 86 ms 66424 KB Output is correct
96 Correct 102 ms 66624 KB Output is correct
97 Correct 96 ms 66716 KB Output is correct
98 Correct 89 ms 66616 KB Output is correct
99 Correct 27 ms 62912 KB Output is correct
100 Correct 32 ms 62936 KB Output is correct
101 Correct 29 ms 62920 KB Output is correct
102 Correct 28 ms 63000 KB Output is correct
103 Correct 28 ms 62932 KB Output is correct
104 Correct 29 ms 62924 KB Output is correct
105 Correct 29 ms 62968 KB Output is correct
106 Correct 31 ms 62880 KB Output is correct
107 Correct 28 ms 62952 KB Output is correct
108 Correct 28 ms 62960 KB Output is correct
109 Correct 29 ms 62924 KB Output is correct
110 Correct 29 ms 62884 KB Output is correct
111 Correct 294 ms 79088 KB Output is correct
112 Correct 278 ms 78812 KB Output is correct
113 Correct 363 ms 79820 KB Output is correct
114 Correct 295 ms 79584 KB Output is correct
115 Correct 264 ms 78088 KB Output is correct
116 Correct 758 ms 79704 KB Output is correct
117 Correct 320 ms 79400 KB Output is correct
118 Correct 33 ms 63068 KB Output is correct
119 Correct 31 ms 63028 KB Output is correct
120 Correct 30 ms 63060 KB Output is correct
121 Correct 31 ms 63132 KB Output is correct
122 Correct 37 ms 63068 KB Output is correct
123 Correct 31 ms 63028 KB Output is correct
124 Correct 34 ms 63084 KB Output is correct
125 Correct 35 ms 63032 KB Output is correct
126 Correct 36 ms 63052 KB Output is correct
127 Correct 33 ms 63052 KB Output is correct
128 Correct 40 ms 63052 KB Output is correct
129 Correct 31 ms 63060 KB Output is correct
130 Correct 32 ms 63092 KB Output is correct
131 Correct 29 ms 62944 KB Output is correct
132 Correct 74 ms 66644 KB Output is correct
133 Correct 70 ms 66632 KB Output is correct
134 Correct 91 ms 66668 KB Output is correct
135 Correct 100 ms 66552 KB Output is correct
136 Correct 122 ms 66620 KB Output is correct
137 Correct 58 ms 66380 KB Output is correct
138 Correct 70 ms 66256 KB Output is correct
139 Correct 130 ms 66628 KB Output is correct
140 Correct 57 ms 66432 KB Output is correct
141 Correct 78 ms 66656 KB Output is correct
142 Correct 87 ms 66732 KB Output is correct
143 Correct 83 ms 66676 KB Output is correct
144 Correct 95 ms 66764 KB Output is correct
145 Correct 102 ms 66768 KB Output is correct
146 Correct 108 ms 66652 KB Output is correct
147 Correct 89 ms 66628 KB Output is correct
148 Correct 72 ms 66412 KB Output is correct
149 Correct 108 ms 66768 KB Output is correct
150 Correct 106 ms 66768 KB Output is correct
151 Correct 102 ms 66660 KB Output is correct
152 Correct 1160 ms 129800 KB Output is correct
153 Correct 1181 ms 129676 KB Output is correct
154 Correct 1207 ms 129668 KB Output is correct
155 Correct 1770 ms 129744 KB Output is correct
156 Correct 1667 ms 131684 KB Output is correct
157 Correct 702 ms 120848 KB Output is correct
158 Correct 1116 ms 125828 KB Output is correct
159 Execution timed out 2089 ms 128680 KB Time limit exceeded
160 Halted 0 ms 0 KB -