#include <iostream>
#include <vector>
#include <string>
#include <utility>
#include <algorithm>
constexpr int A_MAX = 5000;
constexpr long long int MOD = 1000 * 1000 * 1000 + 7;
int main() {
std::ios::sync_with_stdio(false);
int n;
std::cin >> n;
std::vector<int> a(n);
for(auto& val : a)
std::cin >> val;
std::sort(a.begin(), a.end());
std::vector<long long int> subsets(A_MAX + 1, 0);
long long int large_x_subsets = 0;
subsets[0] = 1;
for(auto val : a) {
large_x_subsets += large_x_subsets;
large_x_subsets %= MOD;
for(int i = A_MAX; i >= 0; i--) {
if(i+1 < val)
continue;
if(i + val > A_MAX) {
large_x_subsets += subsets[i];
large_x_subsets %= MOD;
} else {
subsets[i+val] += subsets[i];
subsets[i+val] %= MOD;
}
}
}
long long int sum = large_x_subsets;
for(long long int i = 1; i <= A_MAX; i++) {
sum += subsets[i];
sum %= MOD;
}
std::cout << sum << std::endl;
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 | #include <iostream> #include <vector> #include <string> #include <utility> #include <algorithm> constexpr int A_MAX = 5000; constexpr long long int MOD = 1000 * 1000 * 1000 + 7; int main() { std::ios::sync_with_stdio(false); int n; std::cin >> n; std::vector<int> a(n); for(auto& val : a) std::cin >> val; std::sort(a.begin(), a.end()); std::vector<long long int> subsets(A_MAX + 1, 0); long long int large_x_subsets = 0; subsets[0] = 1; for(auto val : a) { large_x_subsets += large_x_subsets; large_x_subsets %= MOD; for(int i = A_MAX; i >= 0; i--) { if(i+1 < val) continue; if(i + val > A_MAX) { large_x_subsets += subsets[i]; large_x_subsets %= MOD; } else { subsets[i+val] += subsets[i]; subsets[i+val] %= MOD; } } } long long int sum = large_x_subsets; for(long long int i = 1; i <= A_MAX; i++) { sum += subsets[i]; sum %= MOD; } std::cout << sum << std::endl; return 0; } |
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