#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
const int MOD = 1000000007;
int main()
{
ios_base::sync_with_stdio(0);
int n;
cin >> n;
vector<int> a(n);
for (int i = 0; i < n; ++i)
cin >> a[i];
sort(a.begin(), a.end());
vector< vector<int> > dp(n, vector<int>(5001, 0));
for (int i = 0; i < n; ++i)
if (a[i] == 1)
dp[i][1] = 1;
for (int i = 0; i < n - 1; ++i)
{
for (int j = 1; j <= 5000; ++j)
{
if (j != 5000)
{
dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % MOD;
if (a[i + 1] <= j + 1)
{
int nast = min(5000, j + a[i + 1]);
dp[i + 1][nast] = (dp[i + 1][nast] + dp[i][j]) % MOD;
}
}
else
dp[i + 1][j] = (dp[i + 1][j] + 2 * dp[i][j] % MOD) % MOD;
}
}
int odp = 0;
for (int i = 1; i <= 5000; ++i)
odp = (odp + dp[n - 1][i]) % MOD;
cout << odp;
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 | #include <iostream> #include <vector> #include <algorithm> using namespace std; const int MOD = 1000000007; int main() { ios_base::sync_with_stdio(0); int n; cin >> n; vector<int> a(n); for (int i = 0; i < n; ++i) cin >> a[i]; sort(a.begin(), a.end()); vector< vector<int> > dp(n, vector<int>(5001, 0)); for (int i = 0; i < n; ++i) if (a[i] == 1) dp[i][1] = 1; for (int i = 0; i < n - 1; ++i) { for (int j = 1; j <= 5000; ++j) { if (j != 5000) { dp[i + 1][j] = (dp[i + 1][j] + dp[i][j]) % MOD; if (a[i + 1] <= j + 1) { int nast = min(5000, j + a[i + 1]); dp[i + 1][nast] = (dp[i + 1][nast] + dp[i][j]) % MOD; } } else dp[i + 1][j] = (dp[i + 1][j] + 2 * dp[i][j] % MOD) % MOD; } } int odp = 0; for (int i = 1; i <= 5000; ++i) odp = (odp + dp[n - 1][i]) % MOD; cout << odp; return 0; } |
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