#include <bits/stdc++.h>
using namespace std;
const int N = 100 + 10,
L = 1000 + 10,
M = 1'000'000'007;
int n, l;
int a[N];
int f[1 << 14][14 + 1][N];
namespace sub1 {
void solve() {
vector<int> per(n); iota(per.begin(), per.end(), 1);
int answer = 0;
do {
int sum = 0;
for (int i = 1; i < n; ++i) sum += abs(a[per[i]] - a[per[i - 1]]);
answer += sum <= l;
} while (next_permutation(per.begin(), per.end()));
cout << answer << "\n";
}
}
int32_t main() {
cin.tie(0)->sync_with_stdio(0);
cin >> n >> l;
for (int i = 1; i <= n; ++i) cin >> a[i];
if (n <= 8) { sub1::solve(); return 0; }
auto add = [&](auto& x, const auto& y) {
x += y;
if (x >= M) x -= M;
};
for (int i = 1; i <= n; ++i) f[1 << i - 1][i][0] = 1;
for (int bit = 1; bit < (1 << n); ++bit) {
if (__builtin_popcount(bit) == 1) continue;
for (int i = 1; i <= n; ++i) {
if (!(bit >> i - 1 & 1)) continue;
for (int j = 0; j <= l; ++j) {
auto& ret = f[bit][i][j];
for (int t = 1; t <= n; ++t) {
if (!(bit >> t - 1 & 1) || i == t || abs(a[i] - a[t]) > j) continue;
add(ret, f[bit & ~(1 << i - 1)][t][j - abs(a[i] - a[t])]);
}
}
}
}
int answer = 0;
for (int i = 1; i <= n; ++i) {
for (int j = 0; j <= l; ++j) add(answer, f[(1 << n) - 1][i][j]);
}
cout << answer << "\n";
}
Compilation message
skyscraper.cpp: In function 'int32_t main()':
skyscraper.cpp:40:40: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
40 | for (int i = 1; i <= n; ++i) f[1 << i - 1][i][0] = 1;
| ~~^~~
skyscraper.cpp:45:19: warning: suggest parentheses around '-' inside '>>' [-Wparentheses]
45 | if (!(bit >> i - 1 & 1)) continue;
| ~~^~~
skyscraper.cpp:49:21: warning: suggest parentheses around '-' inside '>>' [-Wparentheses]
49 | if (!(bit >> t - 1 & 1) || i == t || abs(a[i] - a[t]) > j) continue;
| ~~^~~
skyscraper.cpp:50:32: warning: suggest parentheses around '-' inside '<<' [-Wparentheses]
50 | add(ret, f[bit & ~(1 << i - 1)][t][j - abs(a[i] - a[t])]);
| ~~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
42 ms |
26704 KB |
Output is correct |
2 |
Correct |
305 ms |
106064 KB |
Output is correct |
3 |
Correct |
185 ms |
106020 KB |
Output is correct |
4 |
Correct |
294 ms |
106052 KB |
Output is correct |
5 |
Correct |
293 ms |
105960 KB |
Output is correct |
6 |
Correct |
295 ms |
106064 KB |
Output is correct |
7 |
Correct |
152 ms |
106064 KB |
Output is correct |
8 |
Correct |
197 ms |
106068 KB |
Output is correct |
9 |
Correct |
249 ms |
105980 KB |
Output is correct |
10 |
Correct |
268 ms |
106064 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
348 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
42 ms |
26704 KB |
Output is correct |
12 |
Correct |
305 ms |
106064 KB |
Output is correct |
13 |
Correct |
185 ms |
106020 KB |
Output is correct |
14 |
Correct |
294 ms |
106052 KB |
Output is correct |
15 |
Correct |
293 ms |
105960 KB |
Output is correct |
16 |
Correct |
295 ms |
106064 KB |
Output is correct |
17 |
Correct |
152 ms |
106064 KB |
Output is correct |
18 |
Correct |
197 ms |
106068 KB |
Output is correct |
19 |
Correct |
249 ms |
105980 KB |
Output is correct |
20 |
Correct |
268 ms |
106064 KB |
Output is correct |
21 |
Runtime error |
11 ms |
25436 KB |
Execution killed with signal 11 |
22 |
Halted |
0 ms |
0 KB |
- |