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;
const int MAXN = 14;
const int MAXL = 101;
const int MOD = 1e9 + 7;
int n, l, a[MAXN];
int dp[1 << MAXN][MAXN][MAXL];
int32_t main(void)
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n >> l;
for(int i = 0; i < n; i++)
cin >> a[i];
if(n <= 10)
{
vector<int> p(n);
iota(p.begin(), p.end(), 0);
int ans = 0;
do{
vector<int> curPerm;
for(int i = 0; i < n; i++)
curPerm.push_back(a[ p[i] ]);
int curVal = 0;
for(int i = 1; i < n; i++)
curVal += abs(a[ p[i] ] - a[ p[i - 1] ]);
if(curVal <= l) ans++;
} while(next_permutation(p.begin(), p.end()));
cout << ans << '\n';
return 0;
}
for(int i = 0; i < n; i++)
dp[(1 << i)][i][0] = 1;
for(int mask = 1; mask < (1 << n); mask++)
{
for(int last = 0; last < n; last++)
{
if((mask & (1 << last)) == 0) continue;
for(int pen = 0; pen <= l; pen++)
{
for(int prev = 0; prev < n; prev++)
{
if((mask & (1 << prev)) == 0 || prev == last) continue;
int curPen = abs(a[last] - a[prev]);
if(curPen <= pen)
dp[mask][last][pen] = (dp[mask][last][pen] + dp[mask ^ (1 << last)][prev][pen - curPen]) % MOD;
}
}
}
}
int ans = 0;
for(int i = 0; i < n; i++)
for(int j = 0; j <= l; j++)
ans = (ans + dp[(1 << n) - 1][i][j]) % MOD;
cout << ans << '\n';
}
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