#define pb push_back #define mp make_pair #define fi first #define se second #define all(...) begin(__VA_ARGS__) , end(__VA_ARGS__) #define boost {ios_base::sync_with_stdio(false); cin.tie(); cout.tie();} #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef vector <int> vi; typedef pair<int,int> PII; typedef pair<ll,ll> PLL; constexpr ll nax = 2e5+6969, INF = 2e9+6969; int n,t[nax]; bool ok(vi & v) { bitset<nax> b; b.reset(); b[0] = 1; int sum = 0; for(auto e: v) sum += e; for(auto e: v) for(int i = sum; i >= e; i--) { if(b[i-e]) b[i] = 1; } for(int i=0;i<=sum;i++) { if(b[i] == 0) return false; } return true; } int main() { scanf("%d", &n); int ans = 0; for(int i=0;i<n;++i) scanf("%d", &t[i]); for(int i=1;i<(1<<n);++i) { vi v; for(int j=0;j<n;++j) if(i&(1<<j)) v.pb(t[j]); if(ok(v)) { ans++; // puts("found:"); // for(auto e: v) printf("%d ", e); // puts(""); } } printf("%d\n", ans); // printf("total: %d\n", ans); return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 | #define pb push_back #define mp make_pair #define fi first #define se second #define all(...) begin(__VA_ARGS__) , end(__VA_ARGS__) #define boost {ios_base::sync_with_stdio(false); cin.tie(); cout.tie();} #include <bits/stdc++.h> using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef vector <int> vi; typedef pair<int,int> PII; typedef pair<ll,ll> PLL; constexpr ll nax = 2e5+6969, INF = 2e9+6969; int n,t[nax]; bool ok(vi & v) { bitset<nax> b; b.reset(); b[0] = 1; int sum = 0; for(auto e: v) sum += e; for(auto e: v) for(int i = sum; i >= e; i--) { if(b[i-e]) b[i] = 1; } for(int i=0;i<=sum;i++) { if(b[i] == 0) return false; } return true; } int main() { scanf("%d", &n); int ans = 0; for(int i=0;i<n;++i) scanf("%d", &t[i]); for(int i=1;i<(1<<n);++i) { vi v; for(int j=0;j<n;++j) if(i&(1<<j)) v.pb(t[j]); if(ok(v)) { ans++; // puts("found:"); // for(auto e: v) printf("%d ", e); // puts(""); } } printf("%d\n", ans); // printf("total: %d\n", ans); return 0; } |