oj.uz

Submission #424080

# Submission time Handle Problem Language Result Execution time Memory
424080 2021-06-11T16:08:42 Z SorahISA Rainforest Jumps (APIO21_jumps) C++17
77 / 100
 4000 ms 45052 KB 
#include "jumps.h"
#pragma GCC optimize("Ofast", "unroll-loops")
#include <bits/stdc++.h>
using namespace std;

using pii = pair<int, int>;
template<typename T>
using Prior = std::priority_queue<T>;
template<typename T>
using prior = std::priority_queue<T, vector<T>, greater<T>>;

#define X first
#define Y second
#define eb emplace_back
#define ALL(x) begin(x), end(x)
#define RALL(x) rbegin(x), rend(x)

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

inline int getRand(int L, int R) {
    if (L > R) swap(L, R);
    return (int)(rng() % (uint64_t)(R - L + 1) + L);
}

const int INF = 1E9;
const int maxn = 1 << 18;
const int lgmx = 18;
// const int maxn = 1 << 4;
// const int lgmx = 4;

int N, sparse[lgmx][maxn], inv[maxn];
pii jump[lgmx][maxn]; /// (jump lo_edge, jump hi_edge)
vector<int> H;

inline int chmin(int &x, int y) {return x <= y ? 0 : x = y, 1;}

inline int QueryMax(int L, int R) {
    int lay = __lg(R - L + 1);
    return max(sparse[lay][L], sparse[lay][R - (1<<lay) + 1]);
}

void init(int _N, vector<int> _H) {
    N = _N + 2;
    H.eb(N + 1); for (auto x : _H) H.eb(x); H.eb(N + 2);
    
    for (int i = 0; i < N; ++i) sparse[0][i] = H[i], inv[H[i]] = i;
    
    for (int lay = 1; lay < lgmx; ++lay) {
        for (int i = 0; i < N-(1<<lay)+1; ++i) {
            sparse[lay][i] = max(sparse[lay-1][i], sparse[lay-1][i+(1<<lay-1)]);
        }
    }
    
    jump[0][0] = {0, N-1}, jump[0][N-1] = {N-1, N-1};
    
    for (int i = 1, lo, mi, hi; i < N-1; ++i) {
        auto &jmp = jump[0][i];
        
        lo = 0, hi = i;
        while (lo < hi) {
            mi = lo + hi + 1 >> 1;
            QueryMax(mi, i) > H[i] ? lo = mi : hi = mi - 1;
        }
        jmp.X = lo;
        
        lo = i, hi = N-1;
        while (lo < hi) {
            mi = lo + hi >> 1;
            QueryMax(i, mi) > H[i] ? hi = mi : lo = mi + 1;
        }
        jmp.Y = lo;
        
        if (H[jmp.X] > H[jmp.Y]) swap(jmp.X, jmp.Y);
    }
    
    for (int lay = 1; lay < lgmx; ++lay) {
        for (int i = 0; i < N; ++i) {
            auto anc = jump[lay-1][i];
            jump[lay][i].X = jump[lay-1][anc.X].X;
            jump[lay][i].Y = jump[lay-1][anc.Y].Y;
        }
    }
}

int minimum_jumps(int A, int B, int C, int D) {
    ++A, ++B, ++C, ++D;
    
    int minAns = N;
    for (int S, T = C; T <= D; ++T) {
        int lo = A, hi = B, mi;
        while (lo < hi) {
            mi = lo + hi >> 1;
            if (QueryMax(mi, B) > H[T]) lo = mi + 1;
            else hi = mi;
        }
        S = inv[QueryMax(lo, B)];
        
        // cout << "start at " << S - 1 << "\n";
        
        int ans = 0;
        for (int i = lgmx-1; i >= 0; --i) {
            if (H[jump[i][S].Y] <= H[T]) S = jump[i][S].Y, ans += 1 << i;
        }
        for (int i = lgmx-1; i >= 0; --i) {
            if (H[jump[i][S].X] <= H[T]) S = jump[i][S].X, ans += 1 << i;
        }
        
        if (S == T) minAns = min(minAns, ans);
    }
    return minAns == N ? (int)-1 : minAns;
}

Compilation message

jumps.cpp: In function 'void init(int, std::vector<int>)':
jumps.cpp:50:75: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
   50 |             sparse[lay][i] = max(sparse[lay-1][i], sparse[lay-1][i+(1<<lay-1)]);
      |                                                                        ~~~^~
jumps.cpp:61:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   61 |             mi = lo + hi + 1 >> 1;
      |                  ~~~~~~~~^~~
jumps.cpp:68:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   68 |             mi = lo + hi >> 1;
      |                  ~~~^~~~
jumps.cpp: In function 'int minimum_jumps(int, int, int, int)':
jumps.cpp:92:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   92 |             mi = lo + hi >> 1;
      |                  ~~~^~~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 456 KB Output is correct
2 Correct 0 ms 456 KB Output is correct
3 Execution timed out 4017 ms 35604 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 456 KB Output is correct
2 Correct 1 ms 456 KB Output is correct
3 Correct 0 ms 456 KB Output is correct
4 Correct 0 ms 456 KB Output is correct
5 Correct 2 ms 456 KB Output is correct
6 Correct 4 ms 456 KB Output is correct
7 Correct 3 ms 456 KB Output is correct
8 Correct 4 ms 456 KB Output is correct
9 Correct 1 ms 456 KB Output is correct
10 Correct 4 ms 456 KB Output is correct
11 Correct 4 ms 456 KB Output is correct
12 Correct 4 ms 456 KB Output is correct
13 Correct 4 ms 456 KB Output is correct
14 Correct 3 ms 456 KB Output is correct
15 Correct 3 ms 456 KB Output is correct
16 Correct 4 ms 456 KB Output is correct
17 Correct 3 ms 456 KB Output is correct
18 Correct 0 ms 456 KB Output is correct
19 Correct 1 ms 456 KB Output is correct
20 Correct 3 ms 456 KB Output is correct
21 Correct 3 ms 456 KB Output is correct
22 Correct 2 ms 456 KB Output is correct
23 Correct 2 ms 456 KB Output is correct
24 Correct 3 ms 456 KB Output is correct
25 Correct 0 ms 456 KB Output is correct
26 Correct 1 ms 456 KB Output is correct
27 Correct 2 ms 456 KB Output is correct
28 Correct 3 ms 456 KB Output is correct
29 Correct 3 ms 456 KB Output is correct
30 Correct 3 ms 456 KB Output is correct
31 Correct 2 ms 456 KB Output is correct
32 Correct 2 ms 456 KB Output is correct
33 Correct 0 ms 456 KB Output is correct
34 Correct 1 ms 456 KB Output is correct
35 Correct 1 ms 456 KB Output is correct
36 Correct 1 ms 456 KB Output is correct
37 Correct 1 ms 456 KB Output is correct
38 Correct 1 ms 456 KB Output is correct
39 Correct 1 ms 456 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 456 KB Output is correct
2 Correct 1 ms 456 KB Output is correct
3 Correct 0 ms 456 KB Output is correct
4 Correct 0 ms 456 KB Output is correct
5 Correct 2 ms 456 KB Output is correct
6 Correct 4 ms 456 KB Output is correct
7 Correct 3 ms 456 KB Output is correct
8 Correct 4 ms 456 KB Output is correct
9 Correct 1 ms 456 KB Output is correct
10 Correct 4 ms 456 KB Output is correct
11 Correct 4 ms 456 KB Output is correct
12 Correct 4 ms 456 KB Output is correct
13 Correct 4 ms 456 KB Output is correct
14 Correct 3 ms 456 KB Output is correct
15 Correct 3 ms 456 KB Output is correct
16 Correct 4 ms 456 KB Output is correct
17 Correct 3 ms 456 KB Output is correct
18 Correct 0 ms 456 KB Output is correct
19 Correct 1 ms 456 KB Output is correct
20 Correct 3 ms 456 KB Output is correct
21 Correct 3 ms 456 KB Output is correct
22 Correct 2 ms 456 KB Output is correct
23 Correct 2 ms 456 KB Output is correct
24 Correct 3 ms 456 KB Output is correct
25 Correct 0 ms 456 KB Output is correct
26 Correct 1 ms 456 KB Output is correct
27 Correct 2 ms 456 KB Output is correct
28 Correct 3 ms 456 KB Output is correct
29 Correct 3 ms 456 KB Output is correct
30 Correct 3 ms 456 KB Output is correct
31 Correct 2 ms 456 KB Output is correct
32 Correct 2 ms 456 KB Output is correct
33 Correct 0 ms 456 KB Output is correct
34 Correct 1 ms 456 KB Output is correct
35 Correct 1 ms 456 KB Output is correct
36 Correct 1 ms 456 KB Output is correct
37 Correct 1 ms 456 KB Output is correct
38 Correct 1 ms 456 KB Output is correct
39 Correct 1 ms 456 KB Output is correct
40 Correct 1 ms 456 KB Output is correct
41 Correct 1 ms 456 KB Output is correct
42 Correct 0 ms 456 KB Output is correct
43 Correct 0 ms 456 KB Output is correct
44 Correct 2 ms 456 KB Output is correct
45 Correct 4 ms 456 KB Output is correct
46 Correct 3 ms 456 KB Output is correct
47 Correct 4 ms 456 KB Output is correct
48 Correct 1 ms 456 KB Output is correct
49 Correct 4 ms 456 KB Output is correct
50 Correct 4 ms 456 KB Output is correct
51 Correct 3 ms 456 KB Output is correct
52 Correct 4 ms 456 KB Output is correct
53 Correct 3 ms 456 KB Output is correct
54 Correct 4 ms 456 KB Output is correct
55 Correct 5 ms 456 KB Output is correct
56 Correct 3 ms 456 KB Output is correct
57 Correct 1 ms 456 KB Output is correct
58 Correct 67 ms 712 KB Output is correct
59 Correct 138 ms 840 KB Output is correct
60 Correct 15 ms 584 KB Output is correct
61 Correct 101 ms 840 KB Output is correct
62 Correct 27 ms 456 KB Output is correct
63 Correct 101 ms 840 KB Output is correct
64 Correct 116 ms 840 KB Output is correct
65 Correct 120 ms 840 KB Output is correct
66 Correct 104 ms 968 KB Output is correct
67 Correct 111 ms 880 KB Output is correct
68 Correct 124 ms 840 KB Output is correct
69 Correct 44 ms 840 KB Output is correct
70 Correct 164 ms 840 KB Output is correct
71 Correct 1 ms 456 KB Output is correct
72 Correct 1 ms 456 KB Output is correct
73 Correct 3 ms 456 KB Output is correct
74 Correct 4 ms 456 KB Output is correct
75 Correct 2 ms 456 KB Output is correct
76 Correct 2 ms 456 KB Output is correct
77 Correct 4 ms 456 KB Output is correct
78 Correct 0 ms 456 KB Output is correct
79 Correct 0 ms 456 KB Output is correct
80 Correct 2 ms 456 KB Output is correct
81 Correct 3 ms 456 KB Output is correct
82 Correct 3 ms 456 KB Output is correct
83 Correct 3 ms 456 KB Output is correct
84 Correct 3 ms 456 KB Output is correct
85 Correct 3 ms 456 KB Output is correct
86 Correct 1 ms 456 KB Output is correct
87 Correct 1 ms 456 KB Output is correct
88 Correct 1 ms 456 KB Output is correct
89 Correct 1 ms 456 KB Output is correct
90 Correct 1 ms 456 KB Output is correct
91 Correct 1 ms 456 KB Output is correct
92 Correct 1 ms 456 KB Output is correct
93 Correct 1 ms 456 KB Output is correct
94 Correct 3 ms 456 KB Output is correct
95 Correct 27 ms 840 KB Output is correct
96 Correct 23 ms 840 KB Output is correct
97 Correct 20 ms 840 KB Output is correct
98 Correct 26 ms 840 KB Output is correct
99 Correct 22 ms 840 KB Output is correct
100 Correct 1 ms 456 KB Output is correct
101 Correct 2 ms 584 KB Output is correct
102 Correct 14 ms 840 KB Output is correct
103 Correct 31 ms 840 KB Output is correct
104 Correct 24 ms 840 KB Output is correct
105 Correct 27 ms 840 KB Output is correct
106 Correct 18 ms 840 KB Output is correct
107 Correct 1 ms 456 KB Output is correct
108 Correct 1 ms 584 KB Output is correct
109 Correct 2 ms 840 KB Output is correct
110 Correct 1 ms 840 KB Output is correct
111 Correct 1 ms 840 KB Output is correct
112 Correct 1 ms 840 KB Output is correct
113 Correct 2 ms 840 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 456 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 456 KB Output is correct
4 Correct 0 ms 456 KB Output is correct
5 Correct 69 ms 35984 KB Output is correct
6 Correct 113 ms 44788 KB Output is correct
7 Correct 42 ms 22844 KB Output is correct
8 Correct 98 ms 44852 KB Output is correct
9 Correct 13 ms 6984 KB Output is correct
10 Correct 114 ms 44832 KB Output is correct
11 Correct 111 ms 44820 KB Output is correct
12 Correct 139 ms 44820 KB Output is correct
13 Correct 89 ms 44820 KB Output is correct
14 Correct 117 ms 44816 KB Output is correct
15 Correct 100 ms 44820 KB Output is correct
16 Correct 103 ms 44836 KB Output is correct
17 Correct 98 ms 44820 KB Output is correct
18 Correct 1 ms 456 KB Output is correct
19 Correct 1 ms 456 KB Output is correct
20 Correct 1 ms 456 KB Output is correct
21 Correct 1 ms 456 KB Output is correct
22 Correct 1 ms 456 KB Output is correct
23 Correct 1 ms 456 KB Output is correct
24 Correct 1 ms 456 KB Output is correct
25 Correct 1 ms 456 KB Output is correct
26 Correct 1 ms 584 KB Output is correct
27 Correct 2 ms 840 KB Output is correct
28 Correct 2 ms 840 KB Output is correct
29 Correct 2 ms 840 KB Output is correct
30 Correct 1 ms 840 KB Output is correct
31 Correct 2 ms 840 KB Output is correct
32 Correct 1 ms 456 KB Output is correct
33 Correct 88 ms 44888 KB Output is correct
34 Correct 88 ms 44824 KB Output is correct
35 Correct 79 ms 44852 KB Output is correct
36 Correct 93 ms 44880 KB Output is correct
37 Correct 87 ms 44852 KB Output is correct
38 Correct 87 ms 44892 KB Output is correct
39 Correct 0 ms 456 KB Output is correct
40 Correct 55 ms 25828 KB Output is correct
41 Correct 87 ms 44816 KB Output is correct
42 Correct 83 ms 44800 KB Output is correct
43 Correct 86 ms 44860 KB Output is correct
44 Correct 103 ms 44792 KB Output is correct
45 Correct 79 ms 44808 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 456 KB Output is correct
2 Correct 1 ms 456 KB Output is correct
3 Correct 1 ms 456 KB Output is correct
4 Correct 207 ms 20416 KB Output is correct
5 Correct 1010 ms 44852 KB Output is correct
6 Correct 800 ms 7492 KB Output is correct
7 Correct 1191 ms 44788 KB Output is correct
8 Correct 584 ms 15424 KB Output is correct
9 Correct 998 ms 44816 KB Output is correct
10 Correct 1100 ms 44820 KB Output is correct
11 Correct 1151 ms 44852 KB Output is correct
12 Correct 1294 ms 44836 KB Output is correct
13 Correct 1177 ms 44816 KB Output is correct
14 Correct 1201 ms 44852 KB Output is correct
15 Correct 1190 ms 44852 KB Output is correct
16 Correct 1107 ms 44840 KB Output is correct
17 Correct 0 ms 456 KB Output is correct
18 Correct 0 ms 456 KB Output is correct
19 Correct 2 ms 456 KB Output is correct
20 Correct 2 ms 456 KB Output is correct
21 Correct 3 ms 456 KB Output is correct
22 Correct 2 ms 456 KB Output is correct
23 Correct 3 ms 456 KB Output is correct
24 Correct 3 ms 456 KB Output is correct
25 Correct 1 ms 456 KB Output is correct
26 Correct 2 ms 584 KB Output is correct
27 Correct 25 ms 840 KB Output is correct
28 Correct 35 ms 840 KB Output is correct
29 Correct 26 ms 840 KB Output is correct
30 Correct 26 ms 840 KB Output is correct
31 Correct 19 ms 840 KB Output is correct
32 Correct 0 ms 456 KB Output is correct
33 Correct 50 ms 25836 KB Output is correct
34 Correct 88 ms 44848 KB Output is correct
35 Correct 78 ms 44880 KB Output is correct
36 Correct 85 ms 44852 KB Output is correct
37 Correct 98 ms 44852 KB Output is correct
38 Correct 77 ms 44852 KB Output is correct

Subtask #6
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 456 KB Output is correct
2 Correct 1 ms 456 KB Output is correct
3 Correct 1 ms 456 KB Output is correct
4 Correct 207 ms 20416 KB Output is correct
5 Correct 1010 ms 44852 KB Output is correct
6 Correct 800 ms 7492 KB Output is correct
7 Correct 1191 ms 44788 KB Output is correct
8 Correct 584 ms 15424 KB Output is correct
9 Correct 998 ms 44816 KB Output is correct
10 Correct 1100 ms 44820 KB Output is correct
11 Correct 1151 ms 44852 KB Output is correct
12 Correct 1294 ms 44836 KB Output is correct
13 Correct 1177 ms 44816 KB Output is correct
14 Correct 1201 ms 44852 KB Output is correct
15 Correct 1190 ms 44852 KB Output is correct
16 Correct 1107 ms 44840 KB Output is correct
17 Correct 0 ms 456 KB Output is correct
18 Correct 0 ms 456 KB Output is correct
19 Correct 2 ms 456 KB Output is correct
20 Correct 2 ms 456 KB Output is correct
21 Correct 3 ms 456 KB Output is correct
22 Correct 2 ms 456 KB Output is correct
23 Correct 3 ms 456 KB Output is correct
24 Correct 3 ms 456 KB Output is correct
25 Correct 1 ms 456 KB Output is correct
26 Correct 2 ms 584 KB Output is correct
27 Correct 25 ms 840 KB Output is correct
28 Correct 35 ms 840 KB Output is correct
29 Correct 26 ms 840 KB Output is correct
30 Correct 26 ms 840 KB Output is correct
31 Correct 19 ms 840 KB Output is correct
32 Correct 0 ms 456 KB Output is correct
33 Correct 50 ms 25836 KB Output is correct
34 Correct 88 ms 44848 KB Output is correct
35 Correct 78 ms 44880 KB Output is correct
36 Correct 85 ms 44852 KB Output is correct
37 Correct 98 ms 44852 KB Output is correct
38 Correct 77 ms 44852 KB Output is correct
39 Correct 0 ms 456 KB Output is correct
40 Correct 1 ms 456 KB Output is correct
41 Correct 1 ms 456 KB Output is correct
42 Correct 283 ms 20376 KB Output is correct
43 Correct 1077 ms 44840 KB Output is correct
44 Correct 746 ms 7492 KB Output is correct
45 Correct 1124 ms 44852 KB Output is correct
46 Correct 670 ms 15416 KB Output is correct
47 Correct 1212 ms 44864 KB Output is correct
48 Correct 959 ms 44820 KB Output is correct
49 Correct 1227 ms 44820 KB Output is correct
50 Correct 1168 ms 44856 KB Output is correct
51 Correct 1306 ms 44840 KB Output is correct
52 Correct 1192 ms 44856 KB Output is correct
53 Correct 1026 ms 44832 KB Output is correct
54 Correct 1162 ms 44820 KB Output is correct
55 Correct 1 ms 456 KB Output is correct
56 Correct 177 ms 44672 KB Output is correct
57 Correct 1123 ms 45052 KB Output is correct
58 Correct 661 ms 8004 KB Output is correct
59 Correct 1095 ms 44864 KB Output is correct
60 Correct 380 ms 15924 KB Output is correct
61 Correct 1083 ms 44940 KB Output is correct
62 Correct 1368 ms 44816 KB Output is correct
63 Correct 1313 ms 44844 KB Output is correct
64 Correct 1377 ms 44824 KB Output is correct
65 Correct 1270 ms 44852 KB Output is correct
66 Correct 1257 ms 44816 KB Output is correct
67 Correct 1305 ms 44820 KB Output is correct
68 Correct 1206 ms 44896 KB Output is correct
69 Correct 0 ms 456 KB Output is correct
70 Correct 1 ms 456 KB Output is correct
71 Correct 3 ms 456 KB Output is correct
72 Correct 3 ms 456 KB Output is correct
73 Correct 3 ms 456 KB Output is correct
74 Correct 3 ms 456 KB Output is correct
75 Correct 4 ms 456 KB Output is correct
76 Correct 1 ms 456 KB Output is correct
77 Correct 1 ms 456 KB Output is correct
78 Correct 3 ms 456 KB Output is correct
79 Correct 3 ms 456 KB Output is correct
80 Correct 3 ms 456 KB Output is correct
81 Correct 3 ms 456 KB Output is correct
82 Correct 3 ms 456 KB Output is correct
83 Correct 3 ms 456 KB Output is correct
84 Correct 1 ms 456 KB Output is correct
85 Correct 5 ms 456 KB Output is correct
86 Correct 19 ms 840 KB Output is correct
87 Correct 20 ms 840 KB Output is correct
88 Correct 19 ms 840 KB Output is correct
89 Correct 21 ms 840 KB Output is correct
90 Correct 25 ms 840 KB Output is correct
91 Correct 1 ms 456 KB Output is correct
92 Correct 1 ms 584 KB Output is correct
93 Correct 11 ms 840 KB Output is correct
94 Correct 24 ms 840 KB Output is correct
95 Correct 26 ms 840 KB Output is correct
96 Correct 11 ms 840 KB Output is correct
97 Correct 15 ms 840 KB Output is correct
98 Correct 0 ms 456 KB Output is correct
99 Correct 87 ms 44816 KB Output is correct
100 Correct 97 ms 44828 KB Output is correct
101 Correct 96 ms 44820 KB Output is correct
102 Correct 88 ms 44900 KB Output is correct
103 Correct 98 ms 44836 KB Output is correct
104 Correct 88 ms 44840 KB Output is correct
105 Correct 1 ms 456 KB Output is correct
106 Correct 55 ms 25912 KB Output is correct
107 Correct 100 ms 44852 KB Output is correct
108 Correct 83 ms 44852 KB Output is correct
109 Correct 85 ms 44800 KB Output is correct
110 Correct 95 ms 44820 KB Output is correct
111 Correct 77 ms 44820 KB Output is correct

Subtask #7
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 456 KB Output is correct
2 Correct 0 ms 456 KB Output is correct
3 Execution timed out 4017 ms 35604 KB Time limit exceeded
4 Halted 0 ms 0 KB -