Submission #964658

# Submission time Handle Problem Language Result Execution time Memory
964658 2024-04-17T09:48:48 Z kilkuwu Rainforest Jumps (APIO21_jumps) C++17
100 / 100
968 ms 142968 KB
#include "jumps.h"

#include <bits/stdc++.h>

template<typename T, typename F>
struct SparseTable {
  std::vector<std::vector<T>> t;

  SparseTable() {}
  SparseTable(const std::vector<T>& a) : t(std::__lg(a.size()) + 1, std::vector<T>(a)) {
    for (int k = 0; k + 1 < (int) t.size(); k++)
      for (int i = 0; i + (1 << k) < (int) a.size(); i++)
        t[k + 1][i] = F()(t[k][i], t[k][i + (1 << k)]);
  }

  T query(int l, int r) {
    int k = std::__lg(r - l + 1);
    return F()(t[k][l], t[k][r - (1 << k) + 1]);
  }
};

template<typename T>
struct MaxMerge {
  T operator()(const T& a, const T& b) {
    return std::max<T>(a, b);
  }
};
template<typename T>
struct MinMerge {
  T operator()(const T& a, const T& b) {
    return std::min<T>(a, b);
  }
};

constexpr int mxN = 200002, LOG = 20;
int L[LOG][mxN];
int cntL[LOG][mxN];
int R[LOG][mxN];
int cntR[LOG][mxN];
int N;

int prefer[LOG][mxN];
int cnt[LOG][mxN];
int maximal[LOG][mxN];

std::vector<int> H;

using ST = SparseTable<std::pair<int, int>, MaxMerge<std::pair<int, int>>>;
using ST2 = SparseTable<std::pair<int, int>, MinMerge<std::pair<int, int>>>;

ST tab;

void init(int _N, std::vector<int> _H) {
  N = _N;
  H = _H;
  std::stack<int> st;
  for (int i = 0; i < N; i++) {
    while (st.size() && H[st.top()] <= H[i]) {
      st.pop();
    }
    L[0][i] = st.empty() ? i : st.top();
    cntL[0][i] = L[0][i] != i;
    st.push(i);
  }

  while (st.size()) st.pop();

  for (int i = N - 1; i >= 0; i--) {
    while (st.size() && H[st.top()] <= H[i]) {
      st.pop();
    }
    R[0][i] = st.empty() ? i : st.top();
    cntR[0][i] = R[0][i] != i;
    st.push(i);
  }

  std::vector<std::pair<int, int>> base(N);
  for (int i = 0; i < N; i++) base[i] = {H[i], i};
  tab = base;

  for (int i = 0; i < N; i++) {
    if (L[0][i] == i && R[0][i] == i) {
      prefer[0][i] = i;
      cnt[0][i] = 0;
    } else {
      cnt[0][i] = 1;
      if (L[0][i] == i) {
        prefer[0][i] = R[0][i];
      } else if (R[0][i] == i) {
        prefer[0][i] = L[0][i];
      } else {
        prefer[0][i] = H[L[0][i]] > H[R[0][i]] ? L[0][i] : R[0][i];
      }
    }
    maximal[0][i] = std::max(i, prefer[0][i]);
  }

  for (int k = 0; k + 1 < LOG; k++) {
    for (int i = 0; i < N; i++) {
      prefer[k + 1][i] = prefer[k][prefer[k][i]];
      cnt[k + 1][i] = cnt[k][i] + cnt[k][prefer[k][i]];
      L[k + 1][i] = L[k][L[k][i]];
      R[k + 1][i] = R[k][R[k][i]];
      cntL[k + 1][i] = cntL[k][i] + cntL[k][L[k][i]];
      cntR[k + 1][i] = cntR[k][i] + cntR[k][R[k][i]];
      maximal[k + 1][i] = std::max(maximal[k][i], maximal[k][prefer[k][i]]);
    }
  }

}

int minimum_jumps(int A, int B, int C, int D) {
  int sz_mid = C - B - 1;

  auto br = tab.query(C, D);
  int thres = H[B];

  int thres_mid = 0;

  if (sz_mid > 0) {
    auto bmid = tab.query(B + 1, C - 1);
    thres = std::max(thres, bmid.first);
    thres_mid = std::max(thres_mid, bmid.first);
  }

  if (thres >= br.first) return -1;

  int lb = A, rb = B;
  while (lb < rb) {
    int m = (lb + rb) / 2;

    if (tab.query(m, B).first < br.first) {
      rb = m;
    } else {
      lb = m + 1;
    }
  }

  auto best = tab.query(rb, B);
  thres = std::max(thres, best.first);
  int jumps = 0;
  int u = best.second;

  lb = C, rb = br.second;
  while (lb < rb) {
    int m = (lb + rb) / 2;
    if (tab.query(C, m).first > thres) {
      rb = m; 
    } else {
      lb = m + 1;
    }
  }


  int f = rb;
  int e = br.second; 

  if (H[u] < thres_mid) {
    for (int k = LOG - 1; k >= 0; k--) {
      int to = prefer[k][u];
      if (H[to] >= thres_mid) continue;  // nhay qua xa r 
      jumps += cnt[k][u];
      u = to;
    }
  } else {
    return 1;
  }

  if (H[prefer[0][u]] < br.first) {
    return jumps + 2;
  }

  for (int k = LOG - 1; k >= 0; k--) {
    int to = R[k][u];
    if (to >= f) continue;
    jumps += cntR[k][u];
    u = to;
  }

  jumps++;
  return jumps;
}

/*
5 1
5 2 2 3 6
0 0 3 4
*/

Compilation message

jumps.cpp: In function 'int minimum_jumps(int, int, int, int)':
jumps.cpp:156:7: warning: unused variable 'e' [-Wunused-variable]
  156 |   int e = br.second;
      |       ^
# Verdict Execution time Memory Grader output
1 Correct 49 ms 109092 KB Output is correct
2 Correct 12 ms 109140 KB Output is correct
3 Correct 136 ms 135996 KB Output is correct
4 Correct 915 ms 142712 KB Output is correct
5 Correct 797 ms 125216 KB Output is correct
6 Correct 922 ms 142940 KB Output is correct
7 Correct 708 ms 132052 KB Output is correct
8 Correct 909 ms 142752 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 109144 KB Output is correct
2 Correct 12 ms 109184 KB Output is correct
3 Correct 16 ms 109144 KB Output is correct
4 Correct 11 ms 109092 KB Output is correct
5 Correct 13 ms 109020 KB Output is correct
6 Correct 13 ms 109144 KB Output is correct
7 Correct 12 ms 109144 KB Output is correct
8 Correct 12 ms 109144 KB Output is correct
9 Correct 12 ms 109144 KB Output is correct
10 Correct 13 ms 109144 KB Output is correct
11 Correct 13 ms 109164 KB Output is correct
12 Correct 13 ms 109396 KB Output is correct
13 Correct 15 ms 109144 KB Output is correct
14 Correct 13 ms 109144 KB Output is correct
15 Correct 13 ms 109396 KB Output is correct
16 Correct 15 ms 109144 KB Output is correct
17 Correct 13 ms 109112 KB Output is correct
18 Correct 11 ms 109056 KB Output is correct
19 Correct 12 ms 109184 KB Output is correct
20 Correct 13 ms 109144 KB Output is correct
21 Correct 13 ms 109144 KB Output is correct
22 Correct 13 ms 109144 KB Output is correct
23 Correct 13 ms 109144 KB Output is correct
24 Correct 13 ms 109144 KB Output is correct
25 Correct 13 ms 109144 KB Output is correct
26 Correct 13 ms 109144 KB Output is correct
27 Correct 13 ms 109144 KB Output is correct
28 Correct 14 ms 109064 KB Output is correct
29 Correct 15 ms 109144 KB Output is correct
30 Correct 13 ms 109144 KB Output is correct
31 Correct 13 ms 109144 KB Output is correct
32 Correct 13 ms 109144 KB Output is correct
33 Correct 12 ms 109144 KB Output is correct
34 Correct 13 ms 109144 KB Output is correct
35 Correct 12 ms 109164 KB Output is correct
36 Correct 12 ms 109144 KB Output is correct
37 Correct 11 ms 109144 KB Output is correct
38 Correct 12 ms 109124 KB Output is correct
39 Correct 12 ms 109144 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 109144 KB Output is correct
2 Correct 12 ms 109184 KB Output is correct
3 Correct 16 ms 109144 KB Output is correct
4 Correct 11 ms 109092 KB Output is correct
5 Correct 13 ms 109020 KB Output is correct
6 Correct 13 ms 109144 KB Output is correct
7 Correct 12 ms 109144 KB Output is correct
8 Correct 12 ms 109144 KB Output is correct
9 Correct 12 ms 109144 KB Output is correct
10 Correct 13 ms 109144 KB Output is correct
11 Correct 13 ms 109164 KB Output is correct
12 Correct 13 ms 109396 KB Output is correct
13 Correct 15 ms 109144 KB Output is correct
14 Correct 13 ms 109144 KB Output is correct
15 Correct 13 ms 109396 KB Output is correct
16 Correct 15 ms 109144 KB Output is correct
17 Correct 13 ms 109112 KB Output is correct
18 Correct 11 ms 109056 KB Output is correct
19 Correct 12 ms 109184 KB Output is correct
20 Correct 13 ms 109144 KB Output is correct
21 Correct 13 ms 109144 KB Output is correct
22 Correct 13 ms 109144 KB Output is correct
23 Correct 13 ms 109144 KB Output is correct
24 Correct 13 ms 109144 KB Output is correct
25 Correct 13 ms 109144 KB Output is correct
26 Correct 13 ms 109144 KB Output is correct
27 Correct 13 ms 109144 KB Output is correct
28 Correct 14 ms 109064 KB Output is correct
29 Correct 15 ms 109144 KB Output is correct
30 Correct 13 ms 109144 KB Output is correct
31 Correct 13 ms 109144 KB Output is correct
32 Correct 13 ms 109144 KB Output is correct
33 Correct 12 ms 109144 KB Output is correct
34 Correct 13 ms 109144 KB Output is correct
35 Correct 12 ms 109164 KB Output is correct
36 Correct 12 ms 109144 KB Output is correct
37 Correct 11 ms 109144 KB Output is correct
38 Correct 12 ms 109124 KB Output is correct
39 Correct 12 ms 109144 KB Output is correct
40 Correct 12 ms 109144 KB Output is correct
41 Correct 12 ms 109144 KB Output is correct
42 Correct 12 ms 109144 KB Output is correct
43 Correct 12 ms 108984 KB Output is correct
44 Correct 14 ms 109144 KB Output is correct
45 Correct 12 ms 109396 KB Output is correct
46 Correct 13 ms 109144 KB Output is correct
47 Correct 13 ms 109144 KB Output is correct
48 Correct 12 ms 109144 KB Output is correct
49 Correct 12 ms 109144 KB Output is correct
50 Correct 15 ms 109140 KB Output is correct
51 Correct 13 ms 109160 KB Output is correct
52 Correct 13 ms 109144 KB Output is correct
53 Correct 13 ms 109144 KB Output is correct
54 Correct 13 ms 109144 KB Output is correct
55 Correct 13 ms 109164 KB Output is correct
56 Correct 13 ms 109164 KB Output is correct
57 Correct 12 ms 109144 KB Output is correct
58 Correct 17 ms 109392 KB Output is correct
59 Correct 21 ms 109504 KB Output is correct
60 Correct 14 ms 109400 KB Output is correct
61 Correct 20 ms 109404 KB Output is correct
62 Correct 20 ms 109144 KB Output is correct
63 Correct 23 ms 109424 KB Output is correct
64 Correct 22 ms 109656 KB Output is correct
65 Correct 26 ms 109400 KB Output is correct
66 Correct 24 ms 109416 KB Output is correct
67 Correct 23 ms 109656 KB Output is correct
68 Correct 26 ms 109428 KB Output is correct
69 Correct 23 ms 109648 KB Output is correct
70 Correct 23 ms 109440 KB Output is correct
71 Correct 12 ms 109144 KB Output is correct
72 Correct 12 ms 109144 KB Output is correct
73 Correct 14 ms 109216 KB Output is correct
74 Correct 14 ms 109148 KB Output is correct
75 Correct 13 ms 109148 KB Output is correct
76 Correct 13 ms 109144 KB Output is correct
77 Correct 13 ms 109140 KB Output is correct
78 Correct 12 ms 109084 KB Output is correct
79 Correct 11 ms 109144 KB Output is correct
80 Correct 13 ms 109144 KB Output is correct
81 Correct 13 ms 109144 KB Output is correct
82 Correct 14 ms 109144 KB Output is correct
83 Correct 13 ms 109144 KB Output is correct
84 Correct 12 ms 109144 KB Output is correct
85 Correct 13 ms 109168 KB Output is correct
86 Correct 12 ms 109140 KB Output is correct
87 Correct 11 ms 109148 KB Output is correct
88 Correct 14 ms 109144 KB Output is correct
89 Correct 12 ms 109148 KB Output is correct
90 Correct 12 ms 109140 KB Output is correct
91 Correct 12 ms 109140 KB Output is correct
92 Correct 11 ms 109180 KB Output is correct
93 Correct 11 ms 109144 KB Output is correct
94 Correct 13 ms 109144 KB Output is correct
95 Correct 22 ms 109408 KB Output is correct
96 Correct 24 ms 109428 KB Output is correct
97 Correct 20 ms 109428 KB Output is correct
98 Correct 22 ms 109648 KB Output is correct
99 Correct 20 ms 109436 KB Output is correct
100 Correct 12 ms 109144 KB Output is correct
101 Correct 12 ms 109280 KB Output is correct
102 Correct 21 ms 109408 KB Output is correct
103 Correct 24 ms 109444 KB Output is correct
104 Correct 24 ms 109412 KB Output is correct
105 Correct 23 ms 109412 KB Output is correct
106 Correct 20 ms 109416 KB Output is correct
107 Correct 12 ms 109164 KB Output is correct
108 Correct 12 ms 109300 KB Output is correct
109 Correct 13 ms 109432 KB Output is correct
110 Correct 12 ms 109440 KB Output is correct
111 Correct 12 ms 109428 KB Output is correct
112 Correct 12 ms 109432 KB Output is correct
113 Correct 13 ms 109440 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 109144 KB Output is correct
2 Correct 12 ms 109144 KB Output is correct
3 Correct 11 ms 109100 KB Output is correct
4 Correct 12 ms 109144 KB Output is correct
5 Correct 56 ms 135748 KB Output is correct
6 Correct 65 ms 141912 KB Output is correct
7 Correct 41 ms 125216 KB Output is correct
8 Correct 69 ms 141996 KB Output is correct
9 Correct 20 ms 113220 KB Output is correct
10 Correct 65 ms 141968 KB Output is correct
11 Correct 67 ms 142840 KB Output is correct
12 Correct 62 ms 142756 KB Output is correct
13 Correct 67 ms 142724 KB Output is correct
14 Correct 73 ms 142096 KB Output is correct
15 Correct 61 ms 142504 KB Output is correct
16 Correct 62 ms 142768 KB Output is correct
17 Correct 63 ms 142788 KB Output is correct
18 Correct 12 ms 109144 KB Output is correct
19 Correct 12 ms 109144 KB Output is correct
20 Correct 12 ms 109072 KB Output is correct
21 Correct 11 ms 109144 KB Output is correct
22 Correct 12 ms 109144 KB Output is correct
23 Correct 12 ms 109144 KB Output is correct
24 Correct 12 ms 109084 KB Output is correct
25 Correct 12 ms 109112 KB Output is correct
26 Correct 12 ms 109296 KB Output is correct
27 Correct 12 ms 109432 KB Output is correct
28 Correct 12 ms 109440 KB Output is correct
29 Correct 12 ms 109428 KB Output is correct
30 Correct 14 ms 109432 KB Output is correct
31 Correct 12 ms 109656 KB Output is correct
32 Correct 12 ms 109144 KB Output is correct
33 Correct 71 ms 142080 KB Output is correct
34 Correct 65 ms 142100 KB Output is correct
35 Correct 74 ms 142548 KB Output is correct
36 Correct 74 ms 142176 KB Output is correct
37 Correct 67 ms 142272 KB Output is correct
38 Correct 62 ms 142828 KB Output is correct
39 Correct 12 ms 109144 KB Output is correct
40 Correct 42 ms 127280 KB Output is correct
41 Correct 65 ms 141948 KB Output is correct
42 Correct 70 ms 142772 KB Output is correct
43 Correct 67 ms 141908 KB Output is correct
44 Correct 70 ms 142512 KB Output is correct
45 Correct 67 ms 142708 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 109144 KB Output is correct
2 Correct 12 ms 109316 KB Output is correct
3 Correct 12 ms 109144 KB Output is correct
4 Correct 163 ms 123564 KB Output is correct
5 Correct 642 ms 141960 KB Output is correct
6 Correct 426 ms 113996 KB Output is correct
7 Correct 642 ms 141976 KB Output is correct
8 Correct 383 ms 120236 KB Output is correct
9 Correct 613 ms 141980 KB Output is correct
10 Correct 815 ms 142748 KB Output is correct
11 Correct 830 ms 142676 KB Output is correct
12 Correct 800 ms 142680 KB Output is correct
13 Correct 647 ms 141980 KB Output is correct
14 Correct 777 ms 142372 KB Output is correct
15 Correct 645 ms 142752 KB Output is correct
16 Correct 663 ms 142780 KB Output is correct
17 Correct 11 ms 109144 KB Output is correct
18 Correct 12 ms 109144 KB Output is correct
19 Correct 21 ms 109144 KB Output is correct
20 Correct 15 ms 109080 KB Output is correct
21 Correct 13 ms 109144 KB Output is correct
22 Correct 13 ms 109160 KB Output is correct
23 Correct 19 ms 109396 KB Output is correct
24 Correct 14 ms 108996 KB Output is correct
25 Correct 13 ms 109144 KB Output is correct
26 Correct 17 ms 109284 KB Output is correct
27 Correct 33 ms 109648 KB Output is correct
28 Correct 24 ms 109628 KB Output is correct
29 Correct 25 ms 109408 KB Output is correct
30 Correct 23 ms 109404 KB Output is correct
31 Correct 27 ms 109412 KB Output is correct
32 Correct 12 ms 109144 KB Output is correct
33 Correct 48 ms 127216 KB Output is correct
34 Correct 66 ms 141984 KB Output is correct
35 Correct 68 ms 142748 KB Output is correct
36 Correct 70 ms 142120 KB Output is correct
37 Correct 68 ms 142448 KB Output is correct
38 Correct 60 ms 142744 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 12 ms 109144 KB Output is correct
2 Correct 12 ms 109316 KB Output is correct
3 Correct 12 ms 109144 KB Output is correct
4 Correct 163 ms 123564 KB Output is correct
5 Correct 642 ms 141960 KB Output is correct
6 Correct 426 ms 113996 KB Output is correct
7 Correct 642 ms 141976 KB Output is correct
8 Correct 383 ms 120236 KB Output is correct
9 Correct 613 ms 141980 KB Output is correct
10 Correct 815 ms 142748 KB Output is correct
11 Correct 830 ms 142676 KB Output is correct
12 Correct 800 ms 142680 KB Output is correct
13 Correct 647 ms 141980 KB Output is correct
14 Correct 777 ms 142372 KB Output is correct
15 Correct 645 ms 142752 KB Output is correct
16 Correct 663 ms 142780 KB Output is correct
17 Correct 11 ms 109144 KB Output is correct
18 Correct 12 ms 109144 KB Output is correct
19 Correct 21 ms 109144 KB Output is correct
20 Correct 15 ms 109080 KB Output is correct
21 Correct 13 ms 109144 KB Output is correct
22 Correct 13 ms 109160 KB Output is correct
23 Correct 19 ms 109396 KB Output is correct
24 Correct 14 ms 108996 KB Output is correct
25 Correct 13 ms 109144 KB Output is correct
26 Correct 17 ms 109284 KB Output is correct
27 Correct 33 ms 109648 KB Output is correct
28 Correct 24 ms 109628 KB Output is correct
29 Correct 25 ms 109408 KB Output is correct
30 Correct 23 ms 109404 KB Output is correct
31 Correct 27 ms 109412 KB Output is correct
32 Correct 12 ms 109144 KB Output is correct
33 Correct 48 ms 127216 KB Output is correct
34 Correct 66 ms 141984 KB Output is correct
35 Correct 68 ms 142748 KB Output is correct
36 Correct 70 ms 142120 KB Output is correct
37 Correct 68 ms 142448 KB Output is correct
38 Correct 60 ms 142744 KB Output is correct
39 Correct 12 ms 109144 KB Output is correct
40 Correct 12 ms 109144 KB Output is correct
41 Correct 12 ms 109144 KB Output is correct
42 Correct 161 ms 123752 KB Output is correct
43 Correct 668 ms 141984 KB Output is correct
44 Correct 434 ms 114052 KB Output is correct
45 Correct 607 ms 141988 KB Output is correct
46 Correct 409 ms 119980 KB Output is correct
47 Correct 617 ms 141980 KB Output is correct
48 Correct 838 ms 142748 KB Output is correct
49 Correct 798 ms 142776 KB Output is correct
50 Correct 818 ms 142756 KB Output is correct
51 Correct 641 ms 142120 KB Output is correct
52 Correct 802 ms 142448 KB Output is correct
53 Correct 635 ms 142776 KB Output is correct
54 Correct 621 ms 142768 KB Output is correct
55 Correct 12 ms 109144 KB Output is correct
56 Correct 104 ms 141908 KB Output is correct
57 Correct 650 ms 142084 KB Output is correct
58 Correct 335 ms 114232 KB Output is correct
59 Correct 609 ms 141980 KB Output is correct
60 Correct 262 ms 120236 KB Output is correct
61 Correct 609 ms 141908 KB Output is correct
62 Correct 885 ms 142764 KB Output is correct
63 Correct 828 ms 142748 KB Output is correct
64 Correct 805 ms 142488 KB Output is correct
65 Correct 651 ms 142120 KB Output is correct
66 Correct 839 ms 142400 KB Output is correct
67 Correct 694 ms 142748 KB Output is correct
68 Correct 628 ms 142956 KB Output is correct
69 Correct 11 ms 109144 KB Output is correct
70 Correct 12 ms 109188 KB Output is correct
71 Correct 14 ms 109200 KB Output is correct
72 Correct 13 ms 109144 KB Output is correct
73 Correct 12 ms 109144 KB Output is correct
74 Correct 13 ms 109144 KB Output is correct
75 Correct 12 ms 109168 KB Output is correct
76 Correct 12 ms 109144 KB Output is correct
77 Correct 12 ms 109144 KB Output is correct
78 Correct 12 ms 109144 KB Output is correct
79 Correct 13 ms 109164 KB Output is correct
80 Correct 15 ms 109200 KB Output is correct
81 Correct 13 ms 109144 KB Output is correct
82 Correct 13 ms 109144 KB Output is correct
83 Correct 13 ms 109144 KB Output is correct
84 Correct 11 ms 108992 KB Output is correct
85 Correct 13 ms 109124 KB Output is correct
86 Correct 22 ms 109544 KB Output is correct
87 Correct 23 ms 109428 KB Output is correct
88 Correct 21 ms 109404 KB Output is correct
89 Correct 23 ms 109428 KB Output is correct
90 Correct 21 ms 109416 KB Output is correct
91 Correct 12 ms 109144 KB Output is correct
92 Correct 13 ms 109280 KB Output is correct
93 Correct 22 ms 109424 KB Output is correct
94 Correct 22 ms 109444 KB Output is correct
95 Correct 22 ms 109412 KB Output is correct
96 Correct 21 ms 109656 KB Output is correct
97 Correct 20 ms 109648 KB Output is correct
98 Correct 12 ms 109396 KB Output is correct
99 Correct 68 ms 142028 KB Output is correct
100 Correct 70 ms 142036 KB Output is correct
101 Correct 58 ms 142564 KB Output is correct
102 Correct 64 ms 142132 KB Output is correct
103 Correct 65 ms 142508 KB Output is correct
104 Correct 69 ms 142760 KB Output is correct
105 Correct 13 ms 108984 KB Output is correct
106 Correct 42 ms 127220 KB Output is correct
107 Correct 86 ms 141884 KB Output is correct
108 Correct 63 ms 142748 KB Output is correct
109 Correct 70 ms 142136 KB Output is correct
110 Correct 61 ms 142352 KB Output is correct
111 Correct 67 ms 142900 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 49 ms 109092 KB Output is correct
2 Correct 12 ms 109140 KB Output is correct
3 Correct 136 ms 135996 KB Output is correct
4 Correct 915 ms 142712 KB Output is correct
5 Correct 797 ms 125216 KB Output is correct
6 Correct 922 ms 142940 KB Output is correct
7 Correct 708 ms 132052 KB Output is correct
8 Correct 909 ms 142752 KB Output is correct
9 Correct 13 ms 109144 KB Output is correct
10 Correct 12 ms 109184 KB Output is correct
11 Correct 16 ms 109144 KB Output is correct
12 Correct 11 ms 109092 KB Output is correct
13 Correct 13 ms 109020 KB Output is correct
14 Correct 13 ms 109144 KB Output is correct
15 Correct 12 ms 109144 KB Output is correct
16 Correct 12 ms 109144 KB Output is correct
17 Correct 12 ms 109144 KB Output is correct
18 Correct 13 ms 109144 KB Output is correct
19 Correct 13 ms 109164 KB Output is correct
20 Correct 13 ms 109396 KB Output is correct
21 Correct 15 ms 109144 KB Output is correct
22 Correct 13 ms 109144 KB Output is correct
23 Correct 13 ms 109396 KB Output is correct
24 Correct 15 ms 109144 KB Output is correct
25 Correct 13 ms 109112 KB Output is correct
26 Correct 11 ms 109056 KB Output is correct
27 Correct 12 ms 109184 KB Output is correct
28 Correct 13 ms 109144 KB Output is correct
29 Correct 13 ms 109144 KB Output is correct
30 Correct 13 ms 109144 KB Output is correct
31 Correct 13 ms 109144 KB Output is correct
32 Correct 13 ms 109144 KB Output is correct
33 Correct 13 ms 109144 KB Output is correct
34 Correct 13 ms 109144 KB Output is correct
35 Correct 13 ms 109144 KB Output is correct
36 Correct 14 ms 109064 KB Output is correct
37 Correct 15 ms 109144 KB Output is correct
38 Correct 13 ms 109144 KB Output is correct
39 Correct 13 ms 109144 KB Output is correct
40 Correct 13 ms 109144 KB Output is correct
41 Correct 12 ms 109144 KB Output is correct
42 Correct 13 ms 109144 KB Output is correct
43 Correct 12 ms 109164 KB Output is correct
44 Correct 12 ms 109144 KB Output is correct
45 Correct 11 ms 109144 KB Output is correct
46 Correct 12 ms 109124 KB Output is correct
47 Correct 12 ms 109144 KB Output is correct
48 Correct 12 ms 109144 KB Output is correct
49 Correct 12 ms 109144 KB Output is correct
50 Correct 12 ms 109144 KB Output is correct
51 Correct 12 ms 108984 KB Output is correct
52 Correct 14 ms 109144 KB Output is correct
53 Correct 12 ms 109396 KB Output is correct
54 Correct 13 ms 109144 KB Output is correct
55 Correct 13 ms 109144 KB Output is correct
56 Correct 12 ms 109144 KB Output is correct
57 Correct 12 ms 109144 KB Output is correct
58 Correct 15 ms 109140 KB Output is correct
59 Correct 13 ms 109160 KB Output is correct
60 Correct 13 ms 109144 KB Output is correct
61 Correct 13 ms 109144 KB Output is correct
62 Correct 13 ms 109144 KB Output is correct
63 Correct 13 ms 109164 KB Output is correct
64 Correct 13 ms 109164 KB Output is correct
65 Correct 12 ms 109144 KB Output is correct
66 Correct 17 ms 109392 KB Output is correct
67 Correct 21 ms 109504 KB Output is correct
68 Correct 14 ms 109400 KB Output is correct
69 Correct 20 ms 109404 KB Output is correct
70 Correct 20 ms 109144 KB Output is correct
71 Correct 23 ms 109424 KB Output is correct
72 Correct 22 ms 109656 KB Output is correct
73 Correct 26 ms 109400 KB Output is correct
74 Correct 24 ms 109416 KB Output is correct
75 Correct 23 ms 109656 KB Output is correct
76 Correct 26 ms 109428 KB Output is correct
77 Correct 23 ms 109648 KB Output is correct
78 Correct 23 ms 109440 KB Output is correct
79 Correct 12 ms 109144 KB Output is correct
80 Correct 12 ms 109144 KB Output is correct
81 Correct 14 ms 109216 KB Output is correct
82 Correct 14 ms 109148 KB Output is correct
83 Correct 13 ms 109148 KB Output is correct
84 Correct 13 ms 109144 KB Output is correct
85 Correct 13 ms 109140 KB Output is correct
86 Correct 12 ms 109084 KB Output is correct
87 Correct 11 ms 109144 KB Output is correct
88 Correct 13 ms 109144 KB Output is correct
89 Correct 13 ms 109144 KB Output is correct
90 Correct 14 ms 109144 KB Output is correct
91 Correct 13 ms 109144 KB Output is correct
92 Correct 12 ms 109144 KB Output is correct
93 Correct 13 ms 109168 KB Output is correct
94 Correct 12 ms 109140 KB Output is correct
95 Correct 11 ms 109148 KB Output is correct
96 Correct 14 ms 109144 KB Output is correct
97 Correct 12 ms 109148 KB Output is correct
98 Correct 12 ms 109140 KB Output is correct
99 Correct 12 ms 109140 KB Output is correct
100 Correct 11 ms 109180 KB Output is correct
101 Correct 11 ms 109144 KB Output is correct
102 Correct 13 ms 109144 KB Output is correct
103 Correct 22 ms 109408 KB Output is correct
104 Correct 24 ms 109428 KB Output is correct
105 Correct 20 ms 109428 KB Output is correct
106 Correct 22 ms 109648 KB Output is correct
107 Correct 20 ms 109436 KB Output is correct
108 Correct 12 ms 109144 KB Output is correct
109 Correct 12 ms 109280 KB Output is correct
110 Correct 21 ms 109408 KB Output is correct
111 Correct 24 ms 109444 KB Output is correct
112 Correct 24 ms 109412 KB Output is correct
113 Correct 23 ms 109412 KB Output is correct
114 Correct 20 ms 109416 KB Output is correct
115 Correct 12 ms 109164 KB Output is correct
116 Correct 12 ms 109300 KB Output is correct
117 Correct 13 ms 109432 KB Output is correct
118 Correct 12 ms 109440 KB Output is correct
119 Correct 12 ms 109428 KB Output is correct
120 Correct 12 ms 109432 KB Output is correct
121 Correct 13 ms 109440 KB Output is correct
122 Correct 13 ms 109144 KB Output is correct
123 Correct 12 ms 109144 KB Output is correct
124 Correct 11 ms 109100 KB Output is correct
125 Correct 12 ms 109144 KB Output is correct
126 Correct 56 ms 135748 KB Output is correct
127 Correct 65 ms 141912 KB Output is correct
128 Correct 41 ms 125216 KB Output is correct
129 Correct 69 ms 141996 KB Output is correct
130 Correct 20 ms 113220 KB Output is correct
131 Correct 65 ms 141968 KB Output is correct
132 Correct 67 ms 142840 KB Output is correct
133 Correct 62 ms 142756 KB Output is correct
134 Correct 67 ms 142724 KB Output is correct
135 Correct 73 ms 142096 KB Output is correct
136 Correct 61 ms 142504 KB Output is correct
137 Correct 62 ms 142768 KB Output is correct
138 Correct 63 ms 142788 KB Output is correct
139 Correct 12 ms 109144 KB Output is correct
140 Correct 12 ms 109144 KB Output is correct
141 Correct 12 ms 109072 KB Output is correct
142 Correct 11 ms 109144 KB Output is correct
143 Correct 12 ms 109144 KB Output is correct
144 Correct 12 ms 109144 KB Output is correct
145 Correct 12 ms 109084 KB Output is correct
146 Correct 12 ms 109112 KB Output is correct
147 Correct 12 ms 109296 KB Output is correct
148 Correct 12 ms 109432 KB Output is correct
149 Correct 12 ms 109440 KB Output is correct
150 Correct 12 ms 109428 KB Output is correct
151 Correct 14 ms 109432 KB Output is correct
152 Correct 12 ms 109656 KB Output is correct
153 Correct 12 ms 109144 KB Output is correct
154 Correct 71 ms 142080 KB Output is correct
155 Correct 65 ms 142100 KB Output is correct
156 Correct 74 ms 142548 KB Output is correct
157 Correct 74 ms 142176 KB Output is correct
158 Correct 67 ms 142272 KB Output is correct
159 Correct 62 ms 142828 KB Output is correct
160 Correct 12 ms 109144 KB Output is correct
161 Correct 42 ms 127280 KB Output is correct
162 Correct 65 ms 141948 KB Output is correct
163 Correct 70 ms 142772 KB Output is correct
164 Correct 67 ms 141908 KB Output is correct
165 Correct 70 ms 142512 KB Output is correct
166 Correct 67 ms 142708 KB Output is correct
167 Correct 12 ms 109144 KB Output is correct
168 Correct 12 ms 109316 KB Output is correct
169 Correct 12 ms 109144 KB Output is correct
170 Correct 163 ms 123564 KB Output is correct
171 Correct 642 ms 141960 KB Output is correct
172 Correct 426 ms 113996 KB Output is correct
173 Correct 642 ms 141976 KB Output is correct
174 Correct 383 ms 120236 KB Output is correct
175 Correct 613 ms 141980 KB Output is correct
176 Correct 815 ms 142748 KB Output is correct
177 Correct 830 ms 142676 KB Output is correct
178 Correct 800 ms 142680 KB Output is correct
179 Correct 647 ms 141980 KB Output is correct
180 Correct 777 ms 142372 KB Output is correct
181 Correct 645 ms 142752 KB Output is correct
182 Correct 663 ms 142780 KB Output is correct
183 Correct 11 ms 109144 KB Output is correct
184 Correct 12 ms 109144 KB Output is correct
185 Correct 21 ms 109144 KB Output is correct
186 Correct 15 ms 109080 KB Output is correct
187 Correct 13 ms 109144 KB Output is correct
188 Correct 13 ms 109160 KB Output is correct
189 Correct 19 ms 109396 KB Output is correct
190 Correct 14 ms 108996 KB Output is correct
191 Correct 13 ms 109144 KB Output is correct
192 Correct 17 ms 109284 KB Output is correct
193 Correct 33 ms 109648 KB Output is correct
194 Correct 24 ms 109628 KB Output is correct
195 Correct 25 ms 109408 KB Output is correct
196 Correct 23 ms 109404 KB Output is correct
197 Correct 27 ms 109412 KB Output is correct
198 Correct 12 ms 109144 KB Output is correct
199 Correct 48 ms 127216 KB Output is correct
200 Correct 66 ms 141984 KB Output is correct
201 Correct 68 ms 142748 KB Output is correct
202 Correct 70 ms 142120 KB Output is correct
203 Correct 68 ms 142448 KB Output is correct
204 Correct 60 ms 142744 KB Output is correct
205 Correct 12 ms 109144 KB Output is correct
206 Correct 12 ms 109144 KB Output is correct
207 Correct 12 ms 109144 KB Output is correct
208 Correct 161 ms 123752 KB Output is correct
209 Correct 668 ms 141984 KB Output is correct
210 Correct 434 ms 114052 KB Output is correct
211 Correct 607 ms 141988 KB Output is correct
212 Correct 409 ms 119980 KB Output is correct
213 Correct 617 ms 141980 KB Output is correct
214 Correct 838 ms 142748 KB Output is correct
215 Correct 798 ms 142776 KB Output is correct
216 Correct 818 ms 142756 KB Output is correct
217 Correct 641 ms 142120 KB Output is correct
218 Correct 802 ms 142448 KB Output is correct
219 Correct 635 ms 142776 KB Output is correct
220 Correct 621 ms 142768 KB Output is correct
221 Correct 12 ms 109144 KB Output is correct
222 Correct 104 ms 141908 KB Output is correct
223 Correct 650 ms 142084 KB Output is correct
224 Correct 335 ms 114232 KB Output is correct
225 Correct 609 ms 141980 KB Output is correct
226 Correct 262 ms 120236 KB Output is correct
227 Correct 609 ms 141908 KB Output is correct
228 Correct 885 ms 142764 KB Output is correct
229 Correct 828 ms 142748 KB Output is correct
230 Correct 805 ms 142488 KB Output is correct
231 Correct 651 ms 142120 KB Output is correct
232 Correct 839 ms 142400 KB Output is correct
233 Correct 694 ms 142748 KB Output is correct
234 Correct 628 ms 142956 KB Output is correct
235 Correct 11 ms 109144 KB Output is correct
236 Correct 12 ms 109188 KB Output is correct
237 Correct 14 ms 109200 KB Output is correct
238 Correct 13 ms 109144 KB Output is correct
239 Correct 12 ms 109144 KB Output is correct
240 Correct 13 ms 109144 KB Output is correct
241 Correct 12 ms 109168 KB Output is correct
242 Correct 12 ms 109144 KB Output is correct
243 Correct 12 ms 109144 KB Output is correct
244 Correct 12 ms 109144 KB Output is correct
245 Correct 13 ms 109164 KB Output is correct
246 Correct 15 ms 109200 KB Output is correct
247 Correct 13 ms 109144 KB Output is correct
248 Correct 13 ms 109144 KB Output is correct
249 Correct 13 ms 109144 KB Output is correct
250 Correct 11 ms 108992 KB Output is correct
251 Correct 13 ms 109124 KB Output is correct
252 Correct 22 ms 109544 KB Output is correct
253 Correct 23 ms 109428 KB Output is correct
254 Correct 21 ms 109404 KB Output is correct
255 Correct 23 ms 109428 KB Output is correct
256 Correct 21 ms 109416 KB Output is correct
257 Correct 12 ms 109144 KB Output is correct
258 Correct 13 ms 109280 KB Output is correct
259 Correct 22 ms 109424 KB Output is correct
260 Correct 22 ms 109444 KB Output is correct
261 Correct 22 ms 109412 KB Output is correct
262 Correct 21 ms 109656 KB Output is correct
263 Correct 20 ms 109648 KB Output is correct
264 Correct 12 ms 109396 KB Output is correct
265 Correct 68 ms 142028 KB Output is correct
266 Correct 70 ms 142036 KB Output is correct
267 Correct 58 ms 142564 KB Output is correct
268 Correct 64 ms 142132 KB Output is correct
269 Correct 65 ms 142508 KB Output is correct
270 Correct 69 ms 142760 KB Output is correct
271 Correct 13 ms 108984 KB Output is correct
272 Correct 42 ms 127220 KB Output is correct
273 Correct 86 ms 141884 KB Output is correct
274 Correct 63 ms 142748 KB Output is correct
275 Correct 70 ms 142136 KB Output is correct
276 Correct 61 ms 142352 KB Output is correct
277 Correct 67 ms 142900 KB Output is correct
278 Correct 12 ms 109144 KB Output is correct
279 Correct 11 ms 109144 KB Output is correct
280 Correct 13 ms 109128 KB Output is correct
281 Correct 142 ms 136188 KB Output is correct
282 Correct 954 ms 142952 KB Output is correct
283 Correct 767 ms 125280 KB Output is correct
284 Correct 968 ms 142748 KB Output is correct
285 Correct 689 ms 132120 KB Output is correct
286 Correct 934 ms 142944 KB Output is correct
287 Correct 11 ms 109144 KB Output is correct
288 Correct 12 ms 109040 KB Output is correct
289 Correct 11 ms 109144 KB Output is correct
290 Correct 14 ms 109144 KB Output is correct
291 Correct 14 ms 109144 KB Output is correct
292 Correct 12 ms 109144 KB Output is correct
293 Correct 13 ms 109144 KB Output is correct
294 Correct 12 ms 109144 KB Output is correct
295 Correct 13 ms 109144 KB Output is correct
296 Correct 14 ms 109144 KB Output is correct
297 Correct 13 ms 109144 KB Output is correct
298 Correct 13 ms 109144 KB Output is correct
299 Correct 12 ms 109144 KB Output is correct
300 Correct 14 ms 109160 KB Output is correct
301 Correct 15 ms 109144 KB Output is correct
302 Correct 14 ms 109144 KB Output is correct
303 Correct 12 ms 109164 KB Output is correct
304 Correct 21 ms 109392 KB Output is correct
305 Correct 22 ms 109408 KB Output is correct
306 Correct 16 ms 109400 KB Output is correct
307 Correct 24 ms 109404 KB Output is correct
308 Correct 19 ms 109144 KB Output is correct
309 Correct 29 ms 109664 KB Output is correct
310 Correct 25 ms 109440 KB Output is correct
311 Correct 22 ms 109648 KB Output is correct
312 Correct 25 ms 109416 KB Output is correct
313 Correct 22 ms 109408 KB Output is correct
314 Correct 25 ms 109412 KB Output is correct
315 Correct 20 ms 109656 KB Output is correct
316 Correct 22 ms 109412 KB Output is correct
317 Correct 14 ms 109116 KB Output is correct
318 Correct 13 ms 109144 KB Output is correct
319 Correct 12 ms 109144 KB Output is correct
320 Correct 67 ms 135708 KB Output is correct
321 Correct 84 ms 142024 KB Output is correct
322 Correct 45 ms 125100 KB Output is correct
323 Correct 77 ms 141996 KB Output is correct
324 Correct 21 ms 113396 KB Output is correct
325 Correct 81 ms 141988 KB Output is correct
326 Correct 75 ms 142732 KB Output is correct
327 Correct 71 ms 142592 KB Output is correct
328 Correct 71 ms 142484 KB Output is correct
329 Correct 80 ms 141892 KB Output is correct
330 Correct 81 ms 142504 KB Output is correct
331 Correct 69 ms 142716 KB Output is correct
332 Correct 65 ms 142756 KB Output is correct
333 Correct 12 ms 109396 KB Output is correct
334 Correct 13 ms 109144 KB Output is correct
335 Correct 13 ms 109156 KB Output is correct
336 Correct 158 ms 123544 KB Output is correct
337 Correct 657 ms 141952 KB Output is correct
338 Correct 413 ms 113980 KB Output is correct
339 Correct 647 ms 142084 KB Output is correct
340 Correct 379 ms 120076 KB Output is correct
341 Correct 632 ms 141984 KB Output is correct
342 Correct 833 ms 142812 KB Output is correct
343 Correct 840 ms 142656 KB Output is correct
344 Correct 784 ms 142644 KB Output is correct
345 Correct 678 ms 142132 KB Output is correct
346 Correct 830 ms 142440 KB Output is correct
347 Correct 633 ms 142712 KB Output is correct
348 Correct 623 ms 142968 KB Output is correct
349 Correct 12 ms 109144 KB Output is correct
350 Correct 106 ms 141992 KB Output is correct
351 Correct 672 ms 141980 KB Output is correct
352 Correct 338 ms 114384 KB Output is correct
353 Correct 689 ms 141984 KB Output is correct
354 Correct 278 ms 120148 KB Output is correct
355 Correct 638 ms 142084 KB Output is correct
356 Correct 916 ms 142748 KB Output is correct
357 Correct 820 ms 142548 KB Output is correct
358 Correct 827 ms 142644 KB Output is correct
359 Correct 633 ms 141980 KB Output is correct
360 Correct 794 ms 142448 KB Output is correct
361 Correct 669 ms 142948 KB Output is correct
362 Correct 594 ms 142896 KB Output is correct
363 Correct 12 ms 109144 KB Output is correct
364 Correct 355 ms 126004 KB Output is correct
365 Correct 650 ms 141988 KB Output is correct
366 Correct 233 ms 132560 KB Output is correct
367 Correct 725 ms 141984 KB Output is correct
368 Correct 347 ms 122116 KB Output is correct
369 Correct 658 ms 141944 KB Output is correct
370 Correct 957 ms 142760 KB Output is correct
371 Correct 869 ms 142504 KB Output is correct
372 Correct 856 ms 142644 KB Output is correct
373 Correct 724 ms 142104 KB Output is correct
374 Correct 842 ms 142352 KB Output is correct
375 Correct 803 ms 142408 KB Output is correct
376 Correct 783 ms 142624 KB Output is correct
377 Correct 11 ms 109152 KB Output is correct
378 Correct 12 ms 109144 KB Output is correct
379 Correct 13 ms 109144 KB Output is correct
380 Correct 12 ms 109036 KB Output is correct
381 Correct 13 ms 109144 KB Output is correct
382 Correct 13 ms 109144 KB Output is correct
383 Correct 13 ms 109300 KB Output is correct
384 Correct 14 ms 109144 KB Output is correct
385 Correct 12 ms 109144 KB Output is correct
386 Correct 14 ms 109144 KB Output is correct
387 Correct 15 ms 109144 KB Output is correct
388 Correct 13 ms 109144 KB Output is correct
389 Correct 15 ms 109144 KB Output is correct
390 Correct 13 ms 109168 KB Output is correct
391 Correct 14 ms 109200 KB Output is correct
392 Correct 12 ms 109144 KB Output is correct
393 Correct 12 ms 109144 KB Output is correct
394 Correct 12 ms 109144 KB Output is correct
395 Correct 13 ms 109140 KB Output is correct
396 Correct 12 ms 109040 KB Output is correct
397 Correct 12 ms 109144 KB Output is correct
398 Correct 16 ms 108980 KB Output is correct
399 Correct 13 ms 109144 KB Output is correct
400 Correct 14 ms 109144 KB Output is correct
401 Correct 25 ms 109424 KB Output is correct
402 Correct 26 ms 109424 KB Output is correct
403 Correct 22 ms 109412 KB Output is correct
404 Correct 22 ms 109412 KB Output is correct
405 Correct 28 ms 109440 KB Output is correct
406 Correct 13 ms 109144 KB Output is correct
407 Correct 12 ms 109276 KB Output is correct
408 Correct 22 ms 109408 KB Output is correct
409 Correct 27 ms 109412 KB Output is correct
410 Correct 23 ms 109648 KB Output is correct
411 Correct 27 ms 109412 KB Output is correct
412 Correct 23 ms 109416 KB Output is correct
413 Correct 14 ms 109124 KB Output is correct
414 Correct 13 ms 109388 KB Output is correct
415 Correct 12 ms 109432 KB Output is correct
416 Correct 14 ms 109444 KB Output is correct
417 Correct 13 ms 109436 KB Output is correct
418 Correct 14 ms 109436 KB Output is correct
419 Correct 14 ms 109440 KB Output is correct
420 Correct 12 ms 109120 KB Output is correct
421 Correct 85 ms 142024 KB Output is correct
422 Correct 82 ms 141996 KB Output is correct
423 Correct 68 ms 142748 KB Output is correct
424 Correct 85 ms 141892 KB Output is correct
425 Correct 67 ms 142296 KB Output is correct
426 Correct 69 ms 142748 KB Output is correct
427 Correct 14 ms 109164 KB Output is correct
428 Correct 44 ms 127208 KB Output is correct
429 Correct 71 ms 141944 KB Output is correct
430 Correct 63 ms 142808 KB Output is correct
431 Correct 72 ms 141992 KB Output is correct
432 Correct 75 ms 142508 KB Output is correct
433 Correct 68 ms 142784 KB Output is correct