#include <bits/stdc++.h>
using namespace std;
#define ALL(x) (x).begin(), (x).end()
template<class C> void mini(C &a5, C b5) { a5 = min(a5, b5); }
template<class C> void maxi(C &a5, C b5) { a5 = max(a5, b5); }
#ifdef LOCAL
const bool debug = true;
#else
const bool debug = false;
#define cerr if (true) {} else cout
#endif
#define int long long
#define double long double
const int INF = 1e18;
const int mod = 1e9 + 7;
const int max_n = 1e6 + 100;
int tab[max_n];
int pot[max_n];
const int max_a = 5000;
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n;
cin >> n;
vector<int> v;
pot[0] = 1;
for (int i = 1; i <= n; i++) {
int a;
cin >> a;
v.push_back(a);
pot[i] = (pot[i - 1] * 2) % mod;
}
sort(ALL(v));
tab[0] = 1;
int res = 0;
for (int x : v) {
n--;
for (int i = max_a; i >= x - 1; i--) {
if (i + x <= max_a) {
tab[i + x] = (tab[i + x] + tab[i]) % mod;
} else {
res = (res + pot[n] * tab[i]) % mod;
}
}
}
for (int i = 1; i <= max_a; i++) {
res += tab[i];
}
cout << res % mod;
return 0;
}/*
5
2 7 4 4 1
*/
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 61 62 63 64 65 66 67 68 69 70 | #include <bits/stdc++.h> using namespace std; #define ALL(x) (x).begin(), (x).end() template<class C> void mini(C &a5, C b5) { a5 = min(a5, b5); } template<class C> void maxi(C &a5, C b5) { a5 = max(a5, b5); } #ifdef LOCAL const bool debug = true; #else const bool debug = false; #define cerr if (true) {} else cout #endif #define int long long #define double long double const int INF = 1e18; const int mod = 1e9 + 7; const int max_n = 1e6 + 100; int tab[max_n]; int pot[max_n]; const int max_a = 5000; int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); int n; cin >> n; vector<int> v; pot[0] = 1; for (int i = 1; i <= n; i++) { int a; cin >> a; v.push_back(a); pot[i] = (pot[i - 1] * 2) % mod; } sort(ALL(v)); tab[0] = 1; int res = 0; for (int x : v) { n--; for (int i = max_a; i >= x - 1; i--) { if (i + x <= max_a) { tab[i + x] = (tab[i + x] + tab[i]) % mod; } else { res = (res + pot[n] * tab[i]) % mod; } } } for (int i = 1; i <= max_a; i++) { res += tab[i]; } cout << res % mod; return 0; }/* 5 2 7 4 4 1 */ |
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