#include "biscuits.h"
#include <vector>
#include <iostream>
#include <cassert>
long long count_tastiness(long long X, std::vector<long long> A) {
auto get_A = [&](int i) { return i < int(A.size()) ? A[i] : 0; };
std::vector<long long> len(121);
len[0] = 1;
std::vector<long long> max_elt(121); // floor of the max element
max_elt[0] = 0;
for (int i = 0; i < 120; i++) {
max_elt[i+1] = (get_A(i) + max_elt[i]) / 2;
len[i+1] = 0;
long long cutoff = 0;
for (int j = i; true; j--) {
assert(cutoff >= 0);
cutoff *= 2;
cutoff -= get_A(j);
if (max_elt[j] >= cutoff + X) {
len[i+1] += len[j];
cutoff += X;
}
if (cutoff <= 0) {
len[i+1] += len[j];
break;
}
}
}
return len.back();
}
// poss_carry = [0]
// for i in range(120):
// poss_carry = [a[i] + v for v in poss_carry]
// poss_carry = [v - x for v in poss_carry if v >= x] + poss_carry
// poss_carry = [v / 2 for v in poss_carry]
// assert max(poss_carry) - min(poss_carry) < x
// mem[i+1] = poss_carry
// return len(poss_carry)
// We can move the threshold step to the end:
// poss_carry = [0]
// for i in range(120):
// poss_carry = [v - x for v in poss_carry] + poss_carry
// poss_carry = [a[i] + v for v in poss_carry]
// poss_carry = [v / 2 for v in poss_carry]
// poss_carry = [v for v in poss_carry if v >= 0]
// assert max(poss_carry) - min(poss_carry) < x
// mem[i+1] = poss_carry
// return len(poss_carry)
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
256 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
256 KB |
Output is correct |
6 |
Correct |
1 ms |
256 KB |
Output is correct |
7 |
Correct |
1 ms |
256 KB |
Output is correct |
8 |
Correct |
1 ms |
256 KB |
Output is correct |
9 |
Correct |
1 ms |
256 KB |
Output is correct |
10 |
Correct |
1 ms |
256 KB |
Output is correct |
11 |
Correct |
1 ms |
256 KB |
Output is correct |
12 |
Correct |
1 ms |
256 KB |
Output is correct |
13 |
Correct |
1 ms |
256 KB |
Output is correct |
14 |
Correct |
1 ms |
256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
256 KB |
Output is correct |
2 |
Correct |
1 ms |
256 KB |
Output is correct |
3 |
Correct |
1 ms |
256 KB |
Output is correct |
4 |
Correct |
1 ms |
256 KB |
Output is correct |
5 |
Correct |
1 ms |
256 KB |
Output is correct |
6 |
Correct |
1 ms |
256 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
256 KB |
Output is correct |
9 |
Correct |
1 ms |
256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
256 KB |
Output is correct |
2 |
Correct |
1 ms |
256 KB |
Output is correct |
3 |
Correct |
0 ms |
256 KB |
Output is correct |
4 |
Correct |
1 ms |
256 KB |
Output is correct |
5 |
Correct |
1 ms |
256 KB |
Output is correct |
6 |
Correct |
1 ms |
256 KB |
Output is correct |
7 |
Correct |
1 ms |
256 KB |
Output is correct |
8 |
Correct |
1 ms |
256 KB |
Output is correct |
9 |
Correct |
1 ms |
256 KB |
Output is correct |
10 |
Correct |
1 ms |
256 KB |
Output is correct |
11 |
Correct |
1 ms |
256 KB |
Output is correct |
12 |
Correct |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
256 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
384 KB |
Output is correct |
2 |
Correct |
12 ms |
896 KB |
Output is correct |
3 |
Correct |
12 ms |
896 KB |
Output is correct |
4 |
Correct |
13 ms |
896 KB |
Output is correct |
5 |
Correct |
12 ms |
896 KB |
Output is correct |
6 |
Correct |
17 ms |
896 KB |
Output is correct |
7 |
Correct |
13 ms |
896 KB |
Output is correct |
8 |
Correct |
11 ms |
896 KB |
Output is correct |
9 |
Correct |
11 ms |
896 KB |
Output is correct |
10 |
Correct |
11 ms |
896 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
256 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
256 KB |
Output is correct |
6 |
Correct |
1 ms |
256 KB |
Output is correct |
7 |
Correct |
1 ms |
256 KB |
Output is correct |
8 |
Correct |
1 ms |
256 KB |
Output is correct |
9 |
Correct |
1 ms |
256 KB |
Output is correct |
10 |
Correct |
1 ms |
256 KB |
Output is correct |
11 |
Correct |
1 ms |
256 KB |
Output is correct |
12 |
Correct |
1 ms |
256 KB |
Output is correct |
13 |
Correct |
1 ms |
256 KB |
Output is correct |
14 |
Correct |
1 ms |
256 KB |
Output is correct |
15 |
Correct |
1 ms |
256 KB |
Output is correct |
16 |
Correct |
1 ms |
256 KB |
Output is correct |
17 |
Correct |
1 ms |
256 KB |
Output is correct |
18 |
Correct |
1 ms |
256 KB |
Output is correct |
19 |
Correct |
1 ms |
256 KB |
Output is correct |
20 |
Correct |
1 ms |
256 KB |
Output is correct |
21 |
Correct |
1 ms |
384 KB |
Output is correct |
22 |
Correct |
1 ms |
256 KB |
Output is correct |
23 |
Correct |
1 ms |
256 KB |
Output is correct |
24 |
Correct |
1 ms |
256 KB |
Output is correct |
25 |
Correct |
1 ms |
256 KB |
Output is correct |
26 |
Correct |
0 ms |
256 KB |
Output is correct |
27 |
Correct |
1 ms |
256 KB |
Output is correct |
28 |
Correct |
1 ms |
256 KB |
Output is correct |
29 |
Correct |
1 ms |
256 KB |
Output is correct |
30 |
Correct |
1 ms |
256 KB |
Output is correct |
31 |
Correct |
1 ms |
256 KB |
Output is correct |
32 |
Correct |
1 ms |
256 KB |
Output is correct |
33 |
Correct |
1 ms |
256 KB |
Output is correct |
34 |
Correct |
1 ms |
256 KB |
Output is correct |
35 |
Correct |
1 ms |
384 KB |
Output is correct |
36 |
Correct |
1 ms |
256 KB |
Output is correct |
37 |
Correct |
2 ms |
384 KB |
Output is correct |
38 |
Correct |
12 ms |
896 KB |
Output is correct |
39 |
Correct |
12 ms |
896 KB |
Output is correct |
40 |
Correct |
13 ms |
896 KB |
Output is correct |
41 |
Correct |
12 ms |
896 KB |
Output is correct |
42 |
Correct |
17 ms |
896 KB |
Output is correct |
43 |
Correct |
13 ms |
896 KB |
Output is correct |
44 |
Correct |
11 ms |
896 KB |
Output is correct |
45 |
Correct |
11 ms |
896 KB |
Output is correct |
46 |
Correct |
11 ms |
896 KB |
Output is correct |
47 |
Correct |
3 ms |
384 KB |
Output is correct |
48 |
Correct |
14 ms |
896 KB |
Output is correct |
49 |
Correct |
4 ms |
384 KB |
Output is correct |
50 |
Correct |
12 ms |
768 KB |
Output is correct |
51 |
Correct |
14 ms |
896 KB |
Output is correct |
52 |
Correct |
2 ms |
416 KB |
Output is correct |
53 |
Correct |
13 ms |
800 KB |
Output is correct |
54 |
Correct |
13 ms |
896 KB |
Output is correct |
55 |
Correct |
14 ms |
896 KB |
Output is correct |
56 |
Correct |
13 ms |
896 KB |
Output is correct |
57 |
Correct |
13 ms |
896 KB |
Output is correct |