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#include <iostream>
#include <vector>
#include <algorithm>
#define MOD 1000000007
using namespace std;
int main()
{
int n;
int pow2[5001];
int Ld[5001];
pow2[0]=1;
for (int i=1;i<5001;++i)
{
pow2[i]=(2*pow2[i-1])%MOD;
Ld[i]=0;
}
cin >> n;
vector<int> a(n);
int *S = new int[n];
long long *Ls = new long long[n];
int *kol_d = new int[n];
long long total = 0;
for (int i=0;i<n;++i)
{
cin >> a[i];
Ld[a[i]]++;
kol_d[i]=0;
}
sort(a.begin(),a.end());
if (a[0]>1)
{
cout << 0 << endl;
delete[] S;
delete[] Ls;
return 0;
}
S[0]=1;
Ls[0]=1;
kol_d[0]=1;
total = 1;
for (int i=1;i<n;++i)
{
Ls[i]=0;
S[i]=a[i]+S[i-1];
if (a[i]==a[i-1])
{
Ls[i]=2*Ls[i-1]%MOD;
total = (total + Ls[i]) % MOD;
kol_d[i]=kol_d[i-1]+1;
continue;
}
kol_d[i]=1;
int k=0;
for (int j=i-1;j>=0;--j)
{
if (a[i]<=S[j]+1)
{
k++;
}
else break;
}
if (k==0) break;
//+co� z duplikatami
if (kol_d[i-k+1]>1)
{
long long binom = 1;
for (int l=Ld[a[i-k]];l>=kol_d[i-k];--l)
{
Ls[i]+=binom % MOD;//binom(Ld[a[i-k]],l);
binom = (binom*l/(Ld[a[i-k]]-l+1)) % MOD;
// cout << binom << endl;
}
Ls[i] = (Ls[i] * pow2[k - 1 - Ld[a[i - k + 1]] + kol_d[i - k]]) % MOD;
}
else Ls[i]=pow2[k-1];
total = (total + Ls[i]) % MOD;
}
cout << total << endl;
delete[] S;
delete[] Ls;
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 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 | #include <iostream> #include <vector> #include <algorithm> #define MOD 1000000007 using namespace std; int main() { int n; int pow2[5001]; int Ld[5001]; pow2[0]=1; for (int i=1;i<5001;++i) { pow2[i]=(2*pow2[i-1])%MOD; Ld[i]=0; } cin >> n; vector<int> a(n); int *S = new int[n]; long long *Ls = new long long[n]; int *kol_d = new int[n]; long long total = 0; for (int i=0;i<n;++i) { cin >> a[i]; Ld[a[i]]++; kol_d[i]=0; } sort(a.begin(),a.end()); if (a[0]>1) { cout << 0 << endl; delete[] S; delete[] Ls; return 0; } S[0]=1; Ls[0]=1; kol_d[0]=1; total = 1; for (int i=1;i<n;++i) { Ls[i]=0; S[i]=a[i]+S[i-1]; if (a[i]==a[i-1]) { Ls[i]=2*Ls[i-1]%MOD; total = (total + Ls[i]) % MOD; kol_d[i]=kol_d[i-1]+1; continue; } kol_d[i]=1; int k=0; for (int j=i-1;j>=0;--j) { if (a[i]<=S[j]+1) { k++; } else break; } if (k==0) break; //+co� z duplikatami if (kol_d[i-k+1]>1) { long long binom = 1; for (int l=Ld[a[i-k]];l>=kol_d[i-k];--l) { Ls[i]+=binom % MOD;//binom(Ld[a[i-k]],l); binom = (binom*l/(Ld[a[i-k]]-l+1)) % MOD; // cout << binom << endl; } Ls[i] = (Ls[i] * pow2[k - 1 - Ld[a[i - k + 1]] + kol_d[i - k]]) % MOD; } else Ls[i]=pow2[k-1]; total = (total + Ls[i]) % MOD; } cout << total << endl; delete[] S; delete[] Ls; return 0; } |
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