#include<bits/stdc++.h>
using namespace std;
constexpr int N=5e3+5, P=1e9+7;
vector<int>tab;
long long dp[N], dwa[N];
int main()
{
int n,a;
long long ans=0;
dp[0]=1;
dwa[0]=1;
scanf("%d", &n);
for(int i=0;i<n;++i)
{
scanf("%d", &a);
tab.push_back(a);
dwa[i+1]=dwa[i]*2;
dwa[i+1]%=P;
//cout << "dwa[i]= " << dwa[i] << endl;
}
sort(tab.begin(), tab.end());
int pozostale=n-1;
for(auto e:tab)
{
//cout << "pozostale = " << pozostale << endl;
//cout << "dwa pozostale = " << dwa[pozostale] << endl;
for(int i=N-5;i>=0;--i)
{
if(i>=e-1) //i=i-e
{
if(i+e<=5000)
{
dp[i+e]+=dp[i];
dp[i+e]%=P;
}
else
{
ans+=dp[i]*dwa[pozostale];
ans%=P;
}
}
else
break;
}
--pozostale;
/*cout << "po dodaniu: " << e << endl;
for(int i=1;i<20;++i)
{
cout << dp[i] << endl;
}
cout << "========" << endl;*/
}
for(int i=1;i<N;++i)
{
//cout << dp[i] << endl;
ans+=dp[i];
ans%=P;
}
printf("%lld", ans);
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 55 56 57 58 59 60 61 62 63 64 65 | #include<bits/stdc++.h> using namespace std; constexpr int N=5e3+5, P=1e9+7; vector<int>tab; long long dp[N], dwa[N]; int main() { int n,a; long long ans=0; dp[0]=1; dwa[0]=1; scanf("%d", &n); for(int i=0;i<n;++i) { scanf("%d", &a); tab.push_back(a); dwa[i+1]=dwa[i]*2; dwa[i+1]%=P; //cout << "dwa[i]= " << dwa[i] << endl; } sort(tab.begin(), tab.end()); int pozostale=n-1; for(auto e:tab) { //cout << "pozostale = " << pozostale << endl; //cout << "dwa pozostale = " << dwa[pozostale] << endl; for(int i=N-5;i>=0;--i) { if(i>=e-1) //i=i-e { if(i+e<=5000) { dp[i+e]+=dp[i]; dp[i+e]%=P; } else { ans+=dp[i]*dwa[pozostale]; ans%=P; } } else break; } --pozostale; /*cout << "po dodaniu: " << e << endl; for(int i=1;i<20;++i) { cout << dp[i] << endl; } cout << "========" << endl;*/ } for(int i=1;i<N;++i) { //cout << dp[i] << endl; ans+=dp[i]; ans%=P; } printf("%lld", ans); return 0; } |
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