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- #include <bits/stdc++.h>
- #include <ext/pb_ds/assoc_container.hpp>
- #include <ext/pb_ds/tree_policy.hpp>
- using namespace std;
- using namespace __gnu_pbds;
- #define ll long long
- #define OO 2'000'000'000
- #define ull unsigned long long
- #define nl '\n'
- #define sz(x) (ll)(x.size())
- #define all(x) x.begin(),x.end()
- #define rall(s) s.rbegin(), s.rend()
- #define getline(s) getline(cin>>ws,s)
- #define ceill(n, m) (((n) / (m)) + ((n) % (m) ? 1 : 0))
- #define pi 3.141592653589793
- #define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
- #define multi_ordered_set tree<int, null_type,less_equal<int>, rb_tree_tag,tree_order_statistics_node_update>
- void Fast_IO(){
- ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
- // freopen("filename.in", "r", stdin);
- // freopen("filename.txt", "w", stdout);
- #ifndef ONLINE_JUDGE
- freopen("input.txt", "r", stdin), freopen("output.txt", "w", stdout);
- #endif
- }
- int dx[] = { 2, 1, -1, -2, -2, -1, 1, 2 };
- int dy[] = { 1, 2, 2, 1, -1, -2, -2, -1 };
- ll n, m, k;
- vector<ll> v;
- ll DAC(){
- vector<vector<ll>> left(41), right(41);
- int mid = n/2;
- vector<ll> l(v.begin(), v.begin()+mid), r(v.begin()+mid, v.end());
- for(int i = 0; i < (1<<mid); i++){
- ll sum = 0;
- for(int j = 0; j < mid; j++){
- if(i & (1<<j)){
- sum += l[j];
- }
- }
- if(sum<=k and __builtin_popcount(i)<=m)
- left[__builtin_popcount(i)].emplace_back(sum);
- }
- for(int i = 0; i < (1<<(n-mid)); i++){
- ll sum = 0;
- for(int j = 0; j < (n-mid); j++){
- if(i & (1<<j)){
- sum += r[j];
- }
- }
- if(sum<=k and __builtin_popcount(i)<=m)
- right[__builtin_popcount(i)].emplace_back(sum);
- }
- for(int i = 0; i <= 40; i++){
- sort(all(left[i]));
- sort(all(right[i]));
- }
- ll ans = 0;
- for(int i=0;i<=m;i++){
- for(int j=0;j<=m;j++){
- if(i+j>m)continue;
- for(auto &x : left[i]){
- ll rem = k-x;
- if(rem<0)continue;
- auto it = upper_bound(all(right[j]), rem);
- ans += it - right[j].begin();
- }
- }
- }
- return ans;
- }
- void solve(){
- cin>>n>>m>>k;
- v = vector<ll>(n);
- for(auto &i : v)cin>>i;
- sort(all(v));
- ll ans = DAC();
- cout<<ans<<nl;
- }
- int main(){
- Fast_IO();
- int t =1;
- //cin>>t;
- while(t--){
- solve();
- }
- return 0;
- }
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