This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define TASK "long"
#define fi first
#define se second
#define ll long long
#define pb push_back
#define ALL(x) (x).begin(), (x).end()
#define GETBIT(mask, i) ((mask) >> (i) & 1)
#define MASK(i) ((1LL) << (i))
#define SZ(x) ((int)(x).size())
#define mp make_pair
#define CNTBIT(mask) __builtin_popcount(mask)
#define int long long
template<class X, class Y> bool maximize(X &x, Y y){ if (x < y) {x = y; return true;} return false;};
template<class X, class Y> bool minimize(X &x, Y y){ if (x > y) {x = y; return true;} return false;};
typedef pair<int, int> ii;
const int N = 1e2 + 5;
const int M = 1e3 + 2;
const int INF = 1e9 + 7;
const int mod = 1e9 + 7;
void add(int &x, int y) {x += y; if (x >= mod) x -= mod;}
void sub(int &x, int y) {x -= y; if (x < 0) x += mod;}
int mul(int x, int y) {return 1LL * x * y % mod;}
int n, L;
int a[N], dp[N][N][M][3];
void read() {
cin >> n >> L;
for(int i = 1; i <= n; i++) cin >> a[i];
}
void solve() {
sort(a + 1, a + n + 1);
dp[0][0][0][0] = 1;
a[n + 1] = 100000;
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= i; j++) {
for(int s = 0; s <= L; s++) {
for(int m = 0; m < 3; m++) {
int cost = (a[i + 1] - a[i]) * (2 * j - m);
if (cost > s) continue;
int &res = dp[i][j][s][m];
// cerr << dp[i][j][s][m] << ' ';
// join except the end point had fill
if (2 * j > m) add(res, mul(dp[i - 1][j][s - cost][m], 2 * j - m));
// add end point
if (m > 0) add(res, mul(dp[i - 1][j][s - cost][m - 1], 2 - m + 1));
// new component with no endpoint
if (j > m) add(res, mul(dp[i - 1][j - 1][s - cost][m], j - m));
// new component with endpoint
if (m > 0) add(res, mul(dp[i - 1][j - 1][s - cost][m - 1], 2 - m + 1));
// merge
add(res, mul(dp[i - 1][j + 1][s - cost][m], j));
// cerr << dp[i][j][s][m] << '\n';
}
}
}
}
int ans = 0;
for(int i = 0; i <= L; i++) add(ans, dp[n][1][i][2]);
cout << ans;
}
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if (fopen(TASK".inp", "r")) {
freopen(TASK".inp", "r", stdin);
freopen(TASK".out", "w", stdout);
}
int test = 1;
// cin >> test;
while(test--) {
read();
solve();
}
return 0;
}
Compilation message (stderr)
skyscraper.cpp: In function 'int main()':
skyscraper.cpp:65:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
65 | freopen(TASK".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
skyscraper.cpp:66:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
66 | freopen(TASK".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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