oj.uz

Submission #784996

# Submission time Handle Problem Language Result Execution time Memory
784996 2023-07-16T21:31:05 Z thimote75 Radio Towers (IOI22_towers) C++17
56 / 100
 4000 ms 53620 KB 
#include "towers.h"

#include <bits/stdc++.h>
using namespace std;

const int MAXK = 20;

using idata = vector<int>;
using igrid = vector<idata>;

idata heights;
int nbTowers;

void init(int N, idata H) {
  nbTowers = N;
  heights  = H;
}

int D0 = -1;
idata jumps;
igrid jumps_2k;
igrid sum_2k;

struct MContainer {
  set<pair<int, int>> m;

  void append (int node, int height) {
    m.insert({ height, node });

    auto it = m.find({ height, node });
    while (it != m.begin()) {
      it --;
      m.erase(*it);
      it = m.find({ height, node });
    }
  }
  int query (int height) { // find the first node greater
    auto it = m.upper_bound({ height, - 1 });
    if (it == m.end()) return -1;

    return (*it).second;
  }
};

int toMiddle (int i) {
  if (i == -1) return -1;
  return 2 * i + 1;
}
int toNormal (int i) {
  if (i == -1) return -1;
  return 2 * i;
}

void init (int D) {
  // node 2i     represents node i as a normal node
  // node 2i + 1 represents node i as a middle node
  jumps.clear();
  jumps.resize(2 * nbTowers, - 1);
  jumps_2k.clear();
  jumps_2k.resize(2 * nbTowers, idata(MAXK, -1));
  sum_2k.clear();
  sum_2k.resize(2 * nbTowers, idata(MAXK, 0));
  D0 = D;

  MContainer container;
  MContainer inverted;

  for (int i = nbTowers - 1; i >= 0; i --) {
    int lnt_mid = container.query( heights[i] + D );
    int lnt_lnt = inverted .query( - heights[i] );
    int mid_mid = container.query( heights[i] );
    int mid_lnt = inverted .query( - heights[i] + D );
    
    jumps[toNormal(i)] = toMiddle(lnt_mid);
    if (lnt_mid == -1 || (lnt_lnt != -1 && lnt_lnt < lnt_mid))
      jumps[toNormal(i)] = toNormal(lnt_lnt);
    jumps[toMiddle(i)] = toNormal(mid_lnt);
    if (mid_lnt == -1 || (mid_mid != -1 && mid_mid < mid_lnt))
      jumps[toMiddle(i)] = toMiddle(mid_mid);

    container.append(i, heights[i]);
    inverted.append(i, -heights[i]);
  }

  for (int i = 0; i < 2 * nbTowers; i ++) {
    jumps_2k[i][0] = jumps[i];

    if (jumps[i] != -1 && (i & 1) == 1 && (jumps[i] & 1) == 0)
      sum_2k[i][0] = 1;
  }

  for (int k = 0; k + 1 < MAXK; k ++) {
    for (int i = 0; i < 2 * nbTowers; i ++) {
      sum_2k[i][k + 1] = sum_2k[i][k];
      if (jumps_2k[i][k] == -1) continue ;

      sum_2k[i][k + 1] += sum_2k[jumps_2k[i][k]][k];
      jumps_2k[i][k + 1] = jumps_2k[jumps_2k[i][k]][k];
    }
  }
}

int find (int node, int jump) {
  for (int i = 0; i < MAXK; i ++) {
    if ((1 << i) & jump) {
      node = jumps_2k[node][i];
      if (node == -1) return -1;
    }
  }
  return node;
}
int jump (int node, int max) {
  int a = 0;
  int b = 2 * nbTowers;
  int s = toNormal(node);
  max   = toMiddle(max);

  while (b - a > 1) {
    int c = (a + b) >> 1;
    int j = find(s, c);

    if (j == -1 || j > max) b = c;
    else a = c;
  }

  if (find(s, a) & 1) a --;

  int jump_count = a;
  int res = 0;
  for (int i = 0; i < MAXK; i ++) {
    if ((1 << i) & jump_count) {
      res += sum_2k[s][i];
      s = jumps_2k[s][i];
    }
  }

  return 1 + res;
}

int max_towers(int L, int R, int D) {
  if (D != D0) {
    init(D);
  }

  return jump(L, R);
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4051 ms 31532 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 2 ms 1232 KB Output is correct
3 Correct 2 ms 1232 KB Output is correct
4 Correct 2 ms 1232 KB Output is correct
5 Correct 3 ms 1192 KB Output is correct
6 Correct 2 ms 1232 KB Output is correct
7 Correct 2 ms 1232 KB Output is correct
8 Correct 2 ms 1232 KB Output is correct
9 Correct 2 ms 1232 KB Output is correct
10 Correct 3 ms 1360 KB Output is correct
11 Correct 2 ms 1232 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 2 ms 1232 KB Output is correct
14 Correct 2 ms 1232 KB Output is correct
15 Correct 2 ms 1268 KB Output is correct
16 Correct 2 ms 1232 KB Output is correct
17 Correct 2 ms 1232 KB Output is correct
18 Correct 2 ms 1360 KB Output is correct
19 Correct 2 ms 1232 KB Output is correct
20 Correct 2 ms 1232 KB Output is correct
21 Correct 2 ms 1232 KB Output is correct
22 Correct 2 ms 1232 KB Output is correct
23 Correct 2 ms 1360 KB Output is correct
24 Correct 2 ms 1232 KB Output is correct
25 Correct 1 ms 720 KB Output is correct
26 Correct 2 ms 1232 KB Output is correct
27 Correct 2 ms 1232 KB Output is correct
28 Correct 2 ms 1232 KB Output is correct
29 Correct 2 ms 1232 KB Output is correct
30 Correct 2 ms 1232 KB Output is correct
31 Correct 2 ms 1232 KB Output is correct
32 Correct 2 ms 1232 KB Output is correct
33 Correct 2 ms 1232 KB Output is correct
34 Correct 2 ms 1232 KB Output is correct
35 Correct 2 ms 1236 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 2 ms 1232 KB Output is correct
3 Correct 2 ms 1232 KB Output is correct
4 Correct 2 ms 1232 KB Output is correct
5 Correct 3 ms 1192 KB Output is correct
6 Correct 2 ms 1232 KB Output is correct
7 Correct 2 ms 1232 KB Output is correct
8 Correct 2 ms 1232 KB Output is correct
9 Correct 2 ms 1232 KB Output is correct
10 Correct 3 ms 1360 KB Output is correct
11 Correct 2 ms 1232 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 2 ms 1232 KB Output is correct
14 Correct 2 ms 1232 KB Output is correct
15 Correct 2 ms 1268 KB Output is correct
16 Correct 2 ms 1232 KB Output is correct
17 Correct 2 ms 1232 KB Output is correct
18 Correct 2 ms 1360 KB Output is correct
19 Correct 2 ms 1232 KB Output is correct
20 Correct 2 ms 1232 KB Output is correct
21 Correct 2 ms 1232 KB Output is correct
22 Correct 2 ms 1232 KB Output is correct
23 Correct 2 ms 1360 KB Output is correct
24 Correct 2 ms 1232 KB Output is correct
25 Correct 1 ms 720 KB Output is correct
26 Correct 2 ms 1232 KB Output is correct
27 Correct 2 ms 1232 KB Output is correct
28 Correct 2 ms 1232 KB Output is correct
29 Correct 2 ms 1232 KB Output is correct
30 Correct 2 ms 1232 KB Output is correct
31 Correct 2 ms 1232 KB Output is correct
32 Correct 2 ms 1232 KB Output is correct
33 Correct 2 ms 1232 KB Output is correct
34 Correct 2 ms 1232 KB Output is correct
35 Correct 2 ms 1236 KB Output is correct
36 Correct 82 ms 31880 KB Output is correct
37 Correct 138 ms 48704 KB Output is correct
38 Correct 138 ms 48820 KB Output is correct
39 Correct 123 ms 48836 KB Output is correct
40 Correct 127 ms 48832 KB Output is correct
41 Correct 127 ms 48828 KB Output is correct
42 Correct 124 ms 48824 KB Output is correct
43 Correct 149 ms 53520 KB Output is correct
44 Correct 152 ms 53516 KB Output is correct
45 Correct 154 ms 52236 KB Output is correct
46 Correct 153 ms 51756 KB Output is correct
47 Correct 145 ms 48804 KB Output is correct
48 Correct 147 ms 48828 KB Output is correct
49 Correct 126 ms 48824 KB Output is correct
50 Correct 144 ms 53620 KB Output is correct
51 Correct 140 ms 53388 KB Output is correct
52 Correct 134 ms 48828 KB Output is correct
53 Correct 132 ms 48824 KB Output is correct
54 Correct 145 ms 48884 KB Output is correct
55 Correct 150 ms 53504 KB Output is correct
56 Correct 145 ms 52984 KB Output is correct
57 Correct 129 ms 47092 KB Output is correct
58 Correct 144 ms 48940 KB Output is correct
59 Correct 131 ms 48704 KB Output is correct
60 Correct 125 ms 48820 KB Output is correct
61 Correct 128 ms 48824 KB Output is correct
62 Correct 147 ms 48824 KB Output is correct
63 Correct 136 ms 48820 KB Output is correct
64 Correct 146 ms 53568 KB Output is correct
65 Correct 148 ms 53440 KB Output is correct
66 Correct 144 ms 51732 KB Output is correct
67 Correct 152 ms 53244 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1134 ms 48476 KB Output is correct
2 Correct 1636 ms 48832 KB Output is correct
3 Correct 1602 ms 48824 KB Output is correct
4 Correct 1528 ms 48940 KB Output is correct
5 Correct 1651 ms 48752 KB Output is correct
6 Correct 1520 ms 48796 KB Output is correct
7 Correct 1632 ms 48960 KB Output is correct
8 Correct 1626 ms 53440 KB Output is correct
9 Correct 1454 ms 53524 KB Output is correct
10 Correct 1559 ms 52348 KB Output is correct
11 Correct 1598 ms 52036 KB Output is correct
12 Correct 1529 ms 53480 KB Output is correct
13 Correct 1640 ms 53516 KB Output is correct
14 Correct 0 ms 208 KB Output is correct
15 Correct 2 ms 1232 KB Output is correct
16 Correct 2 ms 1232 KB Output is correct
17 Correct 148 ms 48824 KB Output is correct
18 Correct 123 ms 48796 KB Output is correct
19 Correct 122 ms 48784 KB Output is correct
20 Correct 136 ms 53516 KB Output is correct
21 Correct 158 ms 53300 KB Output is correct
22 Correct 124 ms 48828 KB Output is correct
23 Correct 120 ms 48824 KB Output is correct
24 Correct 127 ms 48820 KB Output is correct
25 Correct 157 ms 53524 KB Output is correct
26 Correct 136 ms 53008 KB Output is correct
27 Correct 2 ms 1232 KB Output is correct
28 Correct 2 ms 1232 KB Output is correct
29 Correct 2 ms 1232 KB Output is correct
30 Correct 2 ms 1232 KB Output is correct
31 Correct 2 ms 1232 KB Output is correct
32 Correct 2 ms 1232 KB Output is correct
33 Correct 2 ms 1232 KB Output is correct
34 Correct 2 ms 1232 KB Output is correct
35 Correct 2 ms 1232 KB Output is correct
36 Correct 2 ms 1232 KB Output is correct

Subtask #5
0 / 17.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4027 ms 11828 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 2 ms 1232 KB Output is correct
3 Correct 2 ms 1232 KB Output is correct
4 Correct 2 ms 1232 KB Output is correct
5 Correct 3 ms 1192 KB Output is correct
6 Correct 2 ms 1232 KB Output is correct
7 Correct 2 ms 1232 KB Output is correct
8 Correct 2 ms 1232 KB Output is correct
9 Correct 2 ms 1232 KB Output is correct
10 Correct 3 ms 1360 KB Output is correct
11 Correct 2 ms 1232 KB Output is correct
12 Correct 0 ms 208 KB Output is correct
13 Correct 2 ms 1232 KB Output is correct
14 Correct 2 ms 1232 KB Output is correct
15 Correct 2 ms 1268 KB Output is correct
16 Correct 2 ms 1232 KB Output is correct
17 Correct 2 ms 1232 KB Output is correct
18 Correct 2 ms 1360 KB Output is correct
19 Correct 2 ms 1232 KB Output is correct
20 Correct 2 ms 1232 KB Output is correct
21 Correct 2 ms 1232 KB Output is correct
22 Correct 2 ms 1232 KB Output is correct
23 Correct 2 ms 1360 KB Output is correct
24 Correct 2 ms 1232 KB Output is correct
25 Correct 1 ms 720 KB Output is correct
26 Correct 2 ms 1232 KB Output is correct
27 Correct 2 ms 1232 KB Output is correct
28 Correct 2 ms 1232 KB Output is correct
29 Correct 2 ms 1232 KB Output is correct
30 Correct 2 ms 1232 KB Output is correct
31 Correct 2 ms 1232 KB Output is correct
32 Correct 2 ms 1232 KB Output is correct
33 Correct 2 ms 1232 KB Output is correct
34 Correct 2 ms 1232 KB Output is correct
35 Correct 2 ms 1236 KB Output is correct
36 Correct 82 ms 31880 KB Output is correct
37 Correct 138 ms 48704 KB Output is correct
38 Correct 138 ms 48820 KB Output is correct
39 Correct 123 ms 48836 KB Output is correct
40 Correct 127 ms 48832 KB Output is correct
41 Correct 127 ms 48828 KB Output is correct
42 Correct 124 ms 48824 KB Output is correct
43 Correct 149 ms 53520 KB Output is correct
44 Correct 152 ms 53516 KB Output is correct
45 Correct 154 ms 52236 KB Output is correct
46 Correct 153 ms 51756 KB Output is correct
47 Correct 145 ms 48804 KB Output is correct
48 Correct 147 ms 48828 KB Output is correct
49 Correct 126 ms 48824 KB Output is correct
50 Correct 144 ms 53620 KB Output is correct
51 Correct 140 ms 53388 KB Output is correct
52 Correct 134 ms 48828 KB Output is correct
53 Correct 132 ms 48824 KB Output is correct
54 Correct 145 ms 48884 KB Output is correct
55 Correct 150 ms 53504 KB Output is correct
56 Correct 145 ms 52984 KB Output is correct
57 Correct 129 ms 47092 KB Output is correct
58 Correct 144 ms 48940 KB Output is correct
59 Correct 131 ms 48704 KB Output is correct
60 Correct 125 ms 48820 KB Output is correct
61 Correct 128 ms 48824 KB Output is correct
62 Correct 147 ms 48824 KB Output is correct
63 Correct 136 ms 48820 KB Output is correct
64 Correct 146 ms 53568 KB Output is correct
65 Correct 148 ms 53440 KB Output is correct
66 Correct 144 ms 51732 KB Output is correct
67 Correct 152 ms 53244 KB Output is correct
68 Correct 1134 ms 48476 KB Output is correct
69 Correct 1636 ms 48832 KB Output is correct
70 Correct 1602 ms 48824 KB Output is correct
71 Correct 1528 ms 48940 KB Output is correct
72 Correct 1651 ms 48752 KB Output is correct
73 Correct 1520 ms 48796 KB Output is correct
74 Correct 1632 ms 48960 KB Output is correct
75 Correct 1626 ms 53440 KB Output is correct
76 Correct 1454 ms 53524 KB Output is correct
77 Correct 1559 ms 52348 KB Output is correct
78 Correct 1598 ms 52036 KB Output is correct
79 Correct 1529 ms 53480 KB Output is correct
80 Correct 1640 ms 53516 KB Output is correct
81 Correct 0 ms 208 KB Output is correct
82 Correct 2 ms 1232 KB Output is correct
83 Correct 2 ms 1232 KB Output is correct
84 Correct 148 ms 48824 KB Output is correct
85 Correct 123 ms 48796 KB Output is correct
86 Correct 122 ms 48784 KB Output is correct
87 Correct 136 ms 53516 KB Output is correct
88 Correct 158 ms 53300 KB Output is correct
89 Correct 124 ms 48828 KB Output is correct
90 Correct 120 ms 48824 KB Output is correct
91 Correct 127 ms 48820 KB Output is correct
92 Correct 157 ms 53524 KB Output is correct
93 Correct 136 ms 53008 KB Output is correct
94 Correct 2 ms 1232 KB Output is correct
95 Correct 2 ms 1232 KB Output is correct
96 Correct 2 ms 1232 KB Output is correct
97 Correct 2 ms 1232 KB Output is correct
98 Correct 2 ms 1232 KB Output is correct
99 Correct 2 ms 1232 KB Output is correct
100 Correct 2 ms 1232 KB Output is correct
101 Correct 2 ms 1232 KB Output is correct
102 Correct 2 ms 1232 KB Output is correct
103 Correct 2 ms 1232 KB Output is correct
104 Correct 1293 ms 43380 KB Output is correct
105 Correct 1431 ms 48824 KB Output is correct
106 Correct 1348 ms 48904 KB Output is correct
107 Correct 1577 ms 48824 KB Output is correct
108 Correct 1363 ms 48768 KB Output is correct
109 Correct 1511 ms 48712 KB Output is correct
110 Correct 1593 ms 48840 KB Output is correct
111 Correct 1372 ms 53504 KB Output is correct
112 Correct 1537 ms 53472 KB Output is correct
113 Correct 995 ms 52548 KB Output is correct
114 Correct 1615 ms 53028 KB Output is correct

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Execution timed out 4051 ms 31532 KB Time limit exceeded
2 Halted 0 ms 0 KB -