#include <bits/stdc++.h>
using namespace std;
const long long maxn = 100 + 12, maxk = 3000, inf = 1001, mod = 1e9 + 7;
long long n, mx, a[maxn], dp[2][maxn][maxk][3];
int main(){
cin >> n >> mx;
for(int i = 0; i < n; i++){
cin >> a[i];
// a[i] = i * 2 + 1;
}
if(n == 1){
cout << 1 << endl;
return 0;
}
sort(a, a + n);
for(int i = n; i >= 1; i--)
swap(a[i], a[i - 1]);
a[n + 1] = inf;
//cout << a[1] << ' ' << a[2] << endl;
dp[0][0][0][0] = 1;
for(int i = 1; i <= n; i++)
for(int j = 1; j <= n; j++)
for(int c = 0; c <= mx; c++)
for(int m = 0; m <= 2; m++){
int delta = (2 * j - m) * (a[i + 1] - a[i]);
dp[i & 1][j][c][m] = 0;
if(i == 2)
dp[0][0][0][0] = 0;
if(delta > c)
continue;
dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j - 1][c - delta][m] * (j - m);
if(m > 0){
dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j - 1][c - delta][m - 1] * (2 - (m - 1));
}
dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j][c - delta][m] * (2 * j - m);
if(m > 0)
dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j][c - delta][m - 1] * (3 - m);
dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j + 1][c - delta][m] * (j);
dp[i & 1][j][c][m] %= mod;
// cout << i << ' ' << j + 1 << ' ' << c- delta << ' ' << m <<' ' << dp[i][j + 1][c - delta][m] << endl << endl;
}
long long ans = 0;
for(int c = 1; c <= mx; c++){
ans += dp[n & 1][1][c][2];
ans %= mod;
}
cout << ans << endl;
}
Compilation message
skyscraper.cpp: In function 'int main()':
skyscraper.cpp:36:48: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
36 | dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j - 1][c - delta][m] * (j - m);
| ~~^~~
skyscraper.cpp:40:52: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
40 | dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j - 1][c - delta][m - 1] * (2 - (m - 1));
| ~~^~~
skyscraper.cpp:43:48: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
43 | dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j][c - delta][m] * (2 * j - m);
| ~~^~~
skyscraper.cpp:46:52: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
46 | dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j][c - delta][m - 1] * (3 - m);
| ~~^~~
skyscraper.cpp:48:48: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
48 | dp[i & 1][j][c][m] += dp[i & 1 ^ 1][j + 1][c - delta][m] * (j);
| ~~^~~
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
724 KB |
Output is correct |
| 6 |
Correct |
1 ms |
596 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
316 KB |
Output is correct |
| 9 |
Correct |
1 ms |
724 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
468 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Correct |
1 ms |
468 KB |
Output is correct |
| 6 |
Correct |
1 ms |
468 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
340 KB |
Output is correct |
| 9 |
Correct |
1 ms |
468 KB |
Output is correct |
| 10 |
Correct |
1 ms |
468 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
340 KB |
Output is correct |
| 5 |
Correct |
1 ms |
724 KB |
Output is correct |
| 6 |
Correct |
1 ms |
596 KB |
Output is correct |
| 7 |
Correct |
1 ms |
340 KB |
Output is correct |
| 8 |
Correct |
1 ms |
316 KB |
Output is correct |
| 9 |
Correct |
1 ms |
724 KB |
Output is correct |
| 10 |
Correct |
1 ms |
340 KB |
Output is correct |
| 11 |
Correct |
1 ms |
340 KB |
Output is correct |
| 12 |
Correct |
1 ms |
468 KB |
Output is correct |
| 13 |
Correct |
1 ms |
340 KB |
Output is correct |
| 14 |
Correct |
1 ms |
468 KB |
Output is correct |
| 15 |
Correct |
1 ms |
468 KB |
Output is correct |
| 16 |
Correct |
1 ms |
468 KB |
Output is correct |
| 17 |
Correct |
1 ms |
340 KB |
Output is correct |
| 18 |
Correct |
1 ms |
340 KB |
Output is correct |
| 19 |
Correct |
1 ms |
468 KB |
Output is correct |
| 20 |
Correct |
1 ms |
468 KB |
Output is correct |
| 21 |
Correct |
1 ms |
724 KB |
Output is correct |
| 22 |
Correct |
101 ms |
3924 KB |
Output is correct |
| 23 |
Correct |
125 ms |
5728 KB |
Output is correct |
| 24 |
Correct |
105 ms |
4604 KB |
Output is correct |
| 25 |
Correct |
127 ms |
5716 KB |
Output is correct |
| 26 |
Correct |
110 ms |
5088 KB |
Output is correct |
| 27 |
Correct |
36 ms |
2260 KB |
Output is correct |
| 28 |
Correct |
48 ms |
2528 KB |
Output is correct |
| 29 |
Correct |
91 ms |
3840 KB |
Output is correct |
| 30 |
Correct |
121 ms |
5816 KB |
Output is correct |
