#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)
pii LR[lgmx][maxn]; /// (jump left, jump right)
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] = LR[0][0] = {0, N-1}, jump[0][N-1] = LR[0][N-1] = {N-1, N-1};
for (int i = 1, lo, mi, hi; i < N-1; ++i) {
auto &jmp = jump[0][i];
auto &lr = LR[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 = lr.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 = lr.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;
auto &par = LR[lay-1][i];
LR[lay][i].X = LR[lay-1][par.X].X;
LR[lay][i].Y = LR[lay-1][par.Y].Y;
}
}
}
int minimum_jumps(int A, int B, int C, int D) {
++A, ++B, ++C, ++D;
if (B + 1 == C) return LR[0][B].Y <= D ? 1 : -1;
int mid = QueryMax(B+1, C-1);
if (LR[0][inv[mid]].Y > D) return -1;
if (H[B] > mid) return LR[0][B].Y <= D ? 1 : -1;
// int S, lo = A, hi = B, mi;
// while (lo < hi) {
// mi = lo + hi >> 1;
// if (QueryMax(mi, B) > mid) lo = mi + 1;
// else hi = mi;
// }
// S = inv[QueryMax(lo, B)];
int S = B;
// cout << "start at " << S - 1 << "\n";
// if (A <= LR[0][S].X and LR[0][LR[0][S].X].Y <= D) return 1;
int ans = 0;
for (int i = lgmx-1; i >= 0; --i) {
if (H[jump[i][S].Y] <= mid) S = jump[i][S].Y, ans += 1 << i;
}
if (H[S] == mid) return ans + 1;
if (LR[0][LR[0][S].X].Y <= D) return ans + 2;
for (int i = lgmx-1; i >= 0; --i) {
if (LR[i][S].Y < C) S = LR[i][S].Y, ans += 1 << i;
}
return C <= LR[0][S].Y and LR[0][S].Y <= D ? ans + 1 : -1;
}
Compilation message
jumps.cpp: In function 'void init(int, std::vector<int>)':
jumps.cpp:51:75: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
51 | sparse[lay][i] = max(sparse[lay-1][i], sparse[lay-1][i+(1<<lay-1)]);
| ~~~^~
jumps.cpp:63:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
63 | mi = lo + hi + 1 >> 1;
| ~~~~~~~~^~~
jumps.cpp:70:21: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
70 | mi = lo + hi >> 1;
| ~~~^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
584 KB |
Output is correct |
2 |
Correct |
1 ms |
584 KB |
Output is correct |
3 |
Correct |
199 ms |
58220 KB |
Output is correct |
4 |
Correct |
1469 ms |
73092 KB |
Output is correct |
5 |
Correct |
1166 ms |
36664 KB |
Output is correct |
6 |
Correct |
1279 ms |
73092 KB |
Output is correct |
7 |
Correct |
1006 ms |
49836 KB |
Output is correct |
8 |
Correct |
1380 ms |
73132 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
584 KB |
Output is correct |
2 |
Correct |
1 ms |
584 KB |
Output is correct |
3 |
Correct |
1 ms |
584 KB |
Output is correct |
4 |
Correct |
1 ms |
584 KB |
Output is correct |
5 |
Incorrect |
3 ms |
584 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
584 KB |
Output is correct |
2 |
Correct |
1 ms |
584 KB |
Output is correct |
3 |
Correct |
1 ms |
584 KB |
Output is correct |
4 |
Correct |
1 ms |
584 KB |
Output is correct |
5 |
Incorrect |
3 ms |
584 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
584 KB |
Output is correct |
2 |
Correct |
1 ms |
584 KB |
Output is correct |
3 |
Correct |
1 ms |
584 KB |
Output is correct |
4 |
Correct |
1 ms |
584 KB |
Output is correct |
5 |
Incorrect |
84 ms |
58768 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
584 KB |
Output is correct |
2 |
Correct |
1 ms |
584 KB |
Output is correct |
3 |
Correct |
1 ms |
584 KB |
Output is correct |
4 |
Correct |
293 ms |
33352 KB |
Output is correct |
5 |
Correct |
1083 ms |
73120 KB |
Output is correct |
6 |
Correct |
870 ms |
12284 KB |
Output is correct |
7 |
Correct |
1183 ms |
73120 KB |
Output is correct |
8 |
Correct |
827 ms |
25168 KB |
Output is correct |
9 |
Correct |
1104 ms |
73112 KB |
Output is correct |
10 |
Correct |
1221 ms |
73124 KB |
Output is correct |
11 |
Correct |
1093 ms |
73012 KB |
Output is correct |
12 |
Correct |
1351 ms |
73216 KB |
Output is correct |
13 |
Correct |
1020 ms |
73096 KB |
Output is correct |
14 |
Correct |
1117 ms |
73108 KB |
Output is correct |
15 |
Correct |
1025 ms |
73012 KB |
Output is correct |
16 |
Correct |
1263 ms |
73072 KB |
Output is correct |
17 |
Correct |
1 ms |
584 KB |
Output is correct |
18 |
Correct |
1 ms |
584 KB |
Output is correct |
19 |
Correct |
2 ms |
584 KB |
Output is correct |
20 |
Correct |
4 ms |
584 KB |
Output is correct |
21 |
Correct |
2 ms |
584 KB |
Output is correct |
22 |
Correct |
4 ms |
584 KB |
Output is correct |
23 |
Correct |
3 ms |
584 KB |
Output is correct |
24 |
Correct |
3 ms |
584 KB |
Output is correct |
25 |
Correct |
1 ms |
584 KB |
Output is correct |
26 |
Correct |
1 ms |
712 KB |
Output is correct |
27 |
Correct |
24 ms |
1224 KB |
Output is correct |
28 |
Correct |
23 ms |
1352 KB |
Output is correct |
29 |
Correct |
25 ms |
1224 KB |
Output is correct |
30 |
Correct |
21 ms |
1224 KB |
Output is correct |
31 |
Correct |
30 ms |
1224 KB |
Output is correct |
32 |
Correct |
1 ms |
584 KB |
Output is correct |
33 |
Correct |
64 ms |
42232 KB |
Output is correct |
34 |
Correct |
108 ms |
73124 KB |
Output is correct |
35 |
Correct |
115 ms |
73120 KB |
Output is correct |
36 |
Correct |
133 ms |
73112 KB |
Output is correct |
37 |
Correct |
110 ms |
73112 KB |
Output is correct |
38 |
Correct |
102 ms |
73036 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
584 KB |
Output is correct |
2 |
Correct |
1 ms |
584 KB |
Output is correct |
3 |
Correct |
1 ms |
584 KB |
Output is correct |
4 |
Correct |
293 ms |
33352 KB |
Output is correct |
5 |
Correct |
1083 ms |
73120 KB |
Output is correct |
6 |
Correct |
870 ms |
12284 KB |
Output is correct |
7 |
Correct |
1183 ms |
73120 KB |
Output is correct |
8 |
Correct |
827 ms |
25168 KB |
Output is correct |
9 |
Correct |
1104 ms |
73112 KB |
Output is correct |
10 |
Correct |
1221 ms |
73124 KB |
Output is correct |
11 |
Correct |
1093 ms |
73012 KB |
Output is correct |
12 |
Correct |
1351 ms |
73216 KB |
Output is correct |
13 |
Correct |
1020 ms |
73096 KB |
Output is correct |
14 |
Correct |
1117 ms |
73108 KB |
Output is correct |
15 |
Correct |
1025 ms |
73012 KB |
Output is correct |
16 |
Correct |
1263 ms |
73072 KB |
Output is correct |
17 |
Correct |
1 ms |
584 KB |
Output is correct |
18 |
Correct |
1 ms |
584 KB |
Output is correct |
19 |
Correct |
2 ms |
584 KB |
Output is correct |
20 |
Correct |
4 ms |
584 KB |
Output is correct |
21 |
Correct |
2 ms |
584 KB |
Output is correct |
22 |
Correct |
4 ms |
584 KB |
Output is correct |
23 |
Correct |
3 ms |
584 KB |
Output is correct |
24 |
Correct |
3 ms |
584 KB |
Output is correct |
25 |
Correct |
1 ms |
584 KB |
Output is correct |
26 |
Correct |
1 ms |
712 KB |
Output is correct |
27 |
Correct |
24 ms |
1224 KB |
Output is correct |
28 |
Correct |
23 ms |
1352 KB |
Output is correct |
29 |
Correct |
25 ms |
1224 KB |
Output is correct |
30 |
Correct |
21 ms |
1224 KB |
Output is correct |
31 |
Correct |
30 ms |
1224 KB |
Output is correct |
32 |
Correct |
1 ms |
584 KB |
Output is correct |
33 |
Correct |
64 ms |
42232 KB |
Output is correct |
34 |
Correct |
108 ms |
73124 KB |
Output is correct |
35 |
Correct |
115 ms |
73120 KB |
Output is correct |
36 |
Correct |
133 ms |
73112 KB |
Output is correct |
37 |
Correct |
110 ms |
73112 KB |
Output is correct |
38 |
Correct |
102 ms |
73036 KB |
Output is correct |
39 |
Correct |
1 ms |
584 KB |
Output is correct |
40 |
Correct |
1 ms |
584 KB |
Output is correct |
41 |
Correct |
1 ms |
584 KB |
Output is correct |
42 |
Correct |
346 ms |
33336 KB |
Output is correct |
43 |
Correct |
1200 ms |
73032 KB |
Output is correct |
44 |
Correct |
849 ms |
12276 KB |
Output is correct |
45 |
Correct |
1233 ms |
73108 KB |
Output is correct |
46 |
Correct |
847 ms |
25228 KB |
Output is correct |
47 |
Correct |
972 ms |
73120 KB |
Output is correct |
48 |
Correct |
1320 ms |
73128 KB |
Output is correct |
49 |
Correct |
1296 ms |
73124 KB |
Output is correct |
50 |
Correct |
1189 ms |
73160 KB |
Output is correct |
51 |
Correct |
1382 ms |
73120 KB |
Output is correct |
52 |
Correct |
1352 ms |
73120 KB |
Output is correct |
53 |
Correct |
1220 ms |
73040 KB |
Output is correct |
54 |
Correct |
1301 ms |
73112 KB |
Output is correct |
55 |
Correct |
1 ms |
584 KB |
Output is correct |
56 |
Incorrect |
177 ms |
72824 KB |
Output isn't correct |
57 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
584 KB |
Output is correct |
2 |
Correct |
1 ms |
584 KB |
Output is correct |
3 |
Correct |
199 ms |
58220 KB |
Output is correct |
4 |
Correct |
1469 ms |
73092 KB |
Output is correct |
5 |
Correct |
1166 ms |
36664 KB |
Output is correct |
6 |
Correct |
1279 ms |
73092 KB |
Output is correct |
7 |
Correct |
1006 ms |
49836 KB |
Output is correct |
8 |
Correct |
1380 ms |
73132 KB |
Output is correct |
9 |
Correct |
1 ms |
584 KB |
Output is correct |
10 |
Correct |
1 ms |
584 KB |
Output is correct |
11 |
Correct |
1 ms |
584 KB |
Output is correct |
12 |
Correct |
1 ms |
584 KB |
Output is correct |
13 |
Incorrect |
3 ms |
584 KB |
Output isn't correct |
14 |
Halted |
0 ms |
0 KB |
- |