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;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<class T> using oset =
tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define ll long long
#define ld long double
#define ar array
#define vi vector<int>
#define vii vector<vector<int>>
#define pii pair<int, int>
#define pb push_back
#define all(x) x.begin(), x.end()
#define f first
#define s second
#define endl "\n"
const int MOD = 1e9+7;
const int inf = 1e9;
const ll linf = 1e18;
const int d4i[4]={-1, 0, 1, 0}, d4j[4]={0, 1, 0, -1};
const int d8i[8]={-1, -1, 0, 1, 1, 1, 0, -1}, d8j[8]={0, 1, 1, 1, 0, -1, -1, -1};
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
// -------------------------------------------------- Main Code --------------------------------------------------
int n, l;
int arr[16];
int dp[(1<<15)][16][101];
int sol(int mask, int prev, int sum) {
if (__builtin_popcount(mask) == n) return 1;
if (dp[mask][prev][sum] != -1) return dp[mask][prev][sum];
int ans = 0;
for (int i = 0; i < n; i++) {
if (mask&(1<<i)) continue;
int newsum = sum + (prev==n?0:abs(arr[prev]-arr[i]));
if (newsum <= l) ans = (ans + sol(mask|(1<<i), i, newsum))%MOD;
}
return dp[mask][prev][sum] = ans;
}
void sol() {
memset(dp, -1, sizeof dp);
cin >> n >> l;
for (int i = 0; i < n; i++) cin >> arr[i];
cout << sol(0, n, 0) << endl;
}
int main () {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int t = 1;
// cin >> t;
while (t--) {
sol();
}
return 0;
}
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