#include <bits/stdc++.h>
//#pragma GCC optimize ("03")
#define FastIO ios_base::sync_with_stdio(false) , cin.tie(0) , cout.tie(0)
#define FILES freopen("in" , "r" , stdin) , freopen("out" , "w" , stdout)
#define ll long long
#define ull unsigned long long
#define ld long double
#define eb emplace_back
#define pb push_back
#define qwerty1 first
#define qwerty2 second
#define qwerty3 -> first
#define qwerty4 -> second
#define umap unordered_map
#define uset unordered_set
#define pii pair < ll , ll >
#define pq priority_queue
#define dbg(x) cerr << #x << ": " << x << '\n'
namespace FastRead
{
char __buff[5000];ll __lg = 0 , __p = 0;
char nc()
{
if(__lg == __p){__lg = fread(__buff , 1 , 5000 , stdin);__p = 0;if(!__lg) return EOF;}
return __buff[__p++];
}
template<class T>void read(T&__x)
{
T __sgn = 1; char __c;while(!isdigit(__c = nc()))if(__c == '-')__sgn = -1;
__x = __c - '0';while(isdigit(__c = nc()))__x = __x * 10 + __c - '0';__x *= __sgn;
}
}
using namespace FastRead;
using namespace std;
const ll N = 1e2 + 10;
const ll L = 1e3 + 10;
const ll M = 1e9 + 7;
const ld PI = acos(-1);
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
ll n , l;
ll a[N] , dp[N][N][L * 3][4];
void add(ll &x , ll y)
{
y %= M;
x += y;
x %= M;
}
signed main()
{
//#ifndef ONLINE_JUDGE
// FastIO , FILES;
//#endif
ll i , j , s;
cin >> n >> l;
for(i = 1 ; i <= n ; i++)
cin >> a[i];
sort(a + 1 , a + n + 1);
dp[1][1][0 + L][0] = 1;
dp[1][1][-a[1] + L][1] = 1;
dp[1][1][-a[1] + L][2] = 1;
dp[1][1][-(2 * a[1]) + L][3] = 1;
for(i = 2 ; i <= n ; i++)
{
for(j = 1 ; j <= i ; j++)
{
for(s = -l ; s <= l ; s++)
{
///merge
if(s - 2 * a[i] + L >= 0)
{
add(dp[i][j][s + L][0] , j * dp[i - 1][j + 1][s - 2 * a[i] + L][0]);
add(dp[i][j][s + L][1] , j * dp[i - 1][j + 1][s - 2 * a[i] + L][1]);
add(dp[i][j][s + L][2] , j * dp[i - 1][j + 1][s - 2 * a[i] + L][2]);
add(dp[i][j][s + L][3] , j * dp[i - 1][j + 1][s - 2 * a[i] + L][3]);
}
///concat
add(dp[i][j][s + L][0] , (2 * j - 2) * dp[i - 1][j][s + L][0]);
add(dp[i][j][s + L][1] , (2 * j - 2) * dp[i - 1][j][s + L][1]);
add(dp[i][j][s + L][2] , (2 * j - 2) * dp[i - 1][j][s + L][2]);
add(dp[i][j][s + L][3] , (2 * j - 2) * dp[i - 1][j][s + L][3]);
if(s - a[i] + L >= 0) add(dp[i][j][s + L][0] , dp[i - 1][j][s - a[i] + L][1]);
add(dp[i][j][s + L][2] , dp[i - 1][j][s - a[i] + L][3]);
add(dp[i][j][s + L][1] , dp[i - 1][j][s + L][1]);
add(dp[i][j][s + L][3] , dp[i - 1][j][s + L][3]);
// add(dp[i][j][s + L][3] , dp[i - 1][j][s + L][1]);
if(s - a[i] + L >= 0) add(dp[i][j][s + L][0] , dp[i - 1][j][s - a[i] + L][2]);
add(dp[i][j][s + L][2] , dp[i - 1][j][s + L][2]);
add(dp[i][j][s + L][3] , dp[i - 1][j][s + L][3]);
add(dp[i][j][s + L][1] , dp[i - 1][j][s - a[i] + L][3]);
// add(dp[i][j][s + L][3] , dp[i - 1][j][s + L][2]);
///new
if(j > 2 && s + 2 * a[i] + L >= 0)
{
add(dp[i][j][s + L][0] , (j - 2) * dp[i - 1][j - 1][s + 2 * a[i] + L][0]);
add(dp[i][j][s + L][1] , (j - 2) * dp[i - 1][j - 1][s + 2 * a[i] + L][1]);
add(dp[i][j][s + L][2] , (j - 2) * dp[i - 1][j - 1][s + 2 * a[i] + L][2]);
add(dp[i][j][s + L][3] , (j - 2) * dp[i - 1][j - 1][s + 2 * a[i] + L][3]);
}
if(s + a[i] + L >= 0) add(dp[i][j][s + L][0] , dp[i - 1][j - 1][s + a[i] + L][1]);
if(s + a[i] + L >= 0) add(dp[i][j][s + L][0] , dp[i - 1][j - 1][s + a[i] + L][2]);
add(dp[i][j][s + L][1] , dp[i - 1][j - 1][s + 2 * a[i] + L][1]);
add(dp[i][j][s + L][2] , dp[i - 1][j - 1][s + 2 * a[i] + L][2]);
add(dp[i][j][s + L][3] , dp[i - 1][j - 1][s + 2 * a[i] + L][3]);
add(dp[i][j][s + L][3] , dp[i - 1][j - 1][s + 2 * a[i] + L][3]);
add(dp[i][j][s + L][2] , dp[i - 1][j - 1][s + a[i] + L][3]);
add(dp[i][j][s + L][1] , dp[i - 1][j - 1][s + a[i] + L][3]);
}
}
}
ll ans = 0;
for(ll s = 0 ; s <= l ; s++)
add(ans , dp[n][1][s + L][0]);
cout << ans;
return 0;
}
Compilation message
skyscraper.cpp: In function 'int main()':
skyscraper.cpp:96:17: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
96 | if(s - a[i] + L >= 0) add(dp[i][j][s + L][0] , dp[i - 1][j][s - a[i] + L][1]);
| ^~
skyscraper.cpp:97:39: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
97 | add(dp[i][j][s + L][2] , dp[i - 1][j][s - a[i] + L][3]);
| ^~~
skyscraper.cpp:102:17: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
102 | if(s - a[i] + L >= 0) add(dp[i][j][s + L][0] , dp[i - 1][j][s - a[i] + L][2]);
| ^~
skyscraper.cpp:103:39: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
103 | add(dp[i][j][s + L][2] , dp[i - 1][j][s + L][2]);
| ^~~
skyscraper.cpp:119:17: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
119 | if(s + a[i] + L >= 0) add(dp[i][j][s + L][0] , dp[i - 1][j - 1][s + a[i] + L][2]);
| ^~
skyscraper.cpp:120:39: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
120 | add(dp[i][j][s + L][1] , dp[i - 1][j - 1][s + 2 * a[i] + L][1]);
| ^~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Correct |
6 ms |
2540 KB |
Output is correct |
| 6 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 7 |
Correct |
3 ms |
724 KB |
Output is correct |
| 8 |
Correct |
1 ms |
596 KB |
Output is correct |
| 9 |
Correct |
6 ms |
2388 KB |
Output is correct |
| 10 |
Incorrect |
1 ms |
724 KB |
Output isn't correct |
| 11 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
980 KB |
Output is correct |
| 2 |
Incorrect |
3 ms |
1364 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Correct |
0 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Correct |
6 ms |
2540 KB |
Output is correct |
| 6 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 7 |
Correct |
3 ms |
724 KB |
Output is correct |
| 8 |
Correct |
1 ms |
596 KB |
Output is correct |
| 9 |
Correct |
6 ms |
2388 KB |
Output is correct |
| 10 |
Incorrect |
1 ms |
724 KB |
Output isn't correct |
| 11 |
Halted |
0 ms |
0 KB |
- |
