#include "bits/stdc++.h"
#pragma GCC optimize("Ofast")
#pragma GCC target("popcnt")
using namespace std;
using LL = long long;
#define FOR(i, l, r) for(int i = (l); i <= (r); ++i)
#define REP(i, n) FOR(i, 0, (n) - 1)
template<class T> int size(T &&x) {
return int(x.size());
}
template<class A, class B> ostream& operator<<(ostream &out, const pair<A, B> &p) {
return out << '(' << p.first << ", " << p.second << ')';
}
template<class T> auto operator<<(ostream &out, T &&x) -> decltype(x.begin(), out) {
out << '{';
for(auto it = x.begin(); it != x.end(); ++it)
out << *it << (it == prev(x.end()) ? "" : ", ");
return out << '}';
}
void dump() {}
template<class T, class... Args> void dump(T &&x, Args... args) {
cerr << x << "; ";
dump(args...);
}
#ifdef DEBUG
struct Nl{~Nl(){cerr << '\n';}};
# define debug(x...) cerr << (strcmp(#x, "") ? #x ": " : ""), dump(x), Nl(), cerr << ""
#else
# define debug(...) 0 && cerr
#endif
mt19937_64 rng(0);
int rd(int l, int r) {
return uniform_int_distribution<int>(l, r)(rng);
}
// end of templates
constexpr int mod = int(1e9)+7;
void add(int &a, int x) {
a = (a + x >= mod ? a+x-mod : a+x);
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int n; cin >> n;
vector<int> vec(n);
REP(i, n) cin >> vec[i];
sort(vec.begin(), vec.end());
int mx = vec.back();
vector<int> dp(mx+1);
int bigger = 0;
dp[0] = 1;
for(int x: vec) {
add(bigger, bigger);
for(int i = mx; i >= x-1; --i) {
if(i+x > mx) add(bigger, dp[i]);
else add(dp[i+x], dp[i]);
}
}
int ans = 0;
FOR(i, 1, mx) add(ans, dp[i]);
add(ans, bigger);
cout << ans << '\n';
}
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 | #include "bits/stdc++.h" #pragma GCC optimize("Ofast") #pragma GCC target("popcnt") using namespace std; using LL = long long; #define FOR(i, l, r) for(int i = (l); i <= (r); ++i) #define REP(i, n) FOR(i, 0, (n) - 1) template<class T> int size(T &&x) { return int(x.size()); } template<class A, class B> ostream& operator<<(ostream &out, const pair<A, B> &p) { return out << '(' << p.first << ", " << p.second << ')'; } template<class T> auto operator<<(ostream &out, T &&x) -> decltype(x.begin(), out) { out << '{'; for(auto it = x.begin(); it != x.end(); ++it) out << *it << (it == prev(x.end()) ? "" : ", "); return out << '}'; } void dump() {} template<class T, class... Args> void dump(T &&x, Args... args) { cerr << x << "; "; dump(args...); } #ifdef DEBUG struct Nl{~Nl(){cerr << '\n';}}; # define debug(x...) cerr << (strcmp(#x, "") ? #x ": " : ""), dump(x), Nl(), cerr << "" #else # define debug(...) 0 && cerr #endif mt19937_64 rng(0); int rd(int l, int r) { return uniform_int_distribution<int>(l, r)(rng); } // end of templates constexpr int mod = int(1e9)+7; void add(int &a, int x) { a = (a + x >= mod ? a+x-mod : a+x); } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; vector<int> vec(n); REP(i, n) cin >> vec[i]; sort(vec.begin(), vec.end()); int mx = vec.back(); vector<int> dp(mx+1); int bigger = 0; dp[0] = 1; for(int x: vec) { add(bigger, bigger); for(int i = mx; i >= x-1; --i) { if(i+x > mx) add(bigger, dp[i]); else add(dp[i+x], dp[i]); } } int ans = 0; FOR(i, 1, mx) add(ans, dp[i]); add(ans, bigger); cout << ans << '\n'; } |
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