#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
int main()
{
ios::sync_with_stdio(false);
int n;
long long int modulo = 1000000007;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; i++)
{
cin >> a[i];
}
sort(a.begin(), a.end());
int MAX = 10001;
vector<long long int> dp(MAX + 1);
dp[0] = 1;
long long int sum = 0;
for (int i = 0; i < n; i++)
{
int offset = 1;
int diff = max(0, - MAX + (2 * a[i] - 1));
dp[MAX] *= 2; dp[MAX] %= modulo;
while (offset + diff < a[i])
{
dp[MAX] += dp[MAX - offset]; dp[MAX] %= modulo;
offset++;
}
for (int j = MAX - a[i]; j >= a[i] - 1; j--)
{
dp[j + a[i]] += dp[j]; dp[j + a[i]] %= modulo;
}
for (int j = 1; j <= MAX; j++)
{
//cout << dp[j] << " ";
}
//cout << endl;
}
for (int i = 1; i <= MAX; i++)
{
sum += dp[i]; sum %= modulo;
}
cout << sum << endl;
}
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 | #include <iostream> #include <vector> #include <algorithm> using namespace std; int main() { ios::sync_with_stdio(false); int n; long long int modulo = 1000000007; cin >> n; vector<int> a(n); for (int i = 0; i < n; i++) { cin >> a[i]; } sort(a.begin(), a.end()); int MAX = 10001; vector<long long int> dp(MAX + 1); dp[0] = 1; long long int sum = 0; for (int i = 0; i < n; i++) { int offset = 1; int diff = max(0, - MAX + (2 * a[i] - 1)); dp[MAX] *= 2; dp[MAX] %= modulo; while (offset + diff < a[i]) { dp[MAX] += dp[MAX - offset]; dp[MAX] %= modulo; offset++; } for (int j = MAX - a[i]; j >= a[i] - 1; j--) { dp[j + a[i]] += dp[j]; dp[j + a[i]] %= modulo; } for (int j = 1; j <= MAX; j++) { //cout << dp[j] << " "; } //cout << endl; } for (int i = 1; i <= MAX; i++) { sum += dp[i]; sum %= modulo; } cout << sum << endl; } |
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