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#include <NTL/LLL.h>
NTL_CLIENT
long SubsetSumSolution(const vec_ZZ& z)
{
long n = z.length()-3;
long j;
if (z(n+1) != 0) return 0;
if (z(n+2) != -1 && z(n+2) != 1) return 0;
for (j = 1; j <= n; j++)
if (z(j) != -1 && z(j) != 1) return 0;
return 1;
}
int main()
{
RR::SetPrecision(150);
long n, b, size;
cerr << "n: ";
cin >> n;
cerr << "b: ";
cin >> b;
cerr << "size: ";
cin >> size;
cerr << "prune: ";
long prune;
cin >> prune;
ZZ seed;
cerr << "seed: ";
cin >> seed;
if (seed != 0)
SetSeed(seed);
char alg;
cerr << "alg [fqQxr]: ";
cin >> alg;
double TotalTime = 0;
long TotalSucc = 0;
long iter;
for (iter = 1; iter <= 20; iter++) {
vec_ZZ a;
a.SetLength(n);
ZZ bound;
LeftShift(bound, to_ZZ(1), b);
long i;
for (i = 1; i <= n; i++) {
RandomBnd(a(i), bound);
a(i) += 1;
}
ZZ S;
do {
RandomLen(S, n+1);
} while (weight(S) != n/2+1);
ZZ s;
clear(s);
for (i = 1; i <= n; i++)
if (bit(S, i-1))
s += a(i);
mat_ZZ B(INIT_SIZE, n+1, n+3);
for (i = 1; i <= n; i++) {
B(i, i) = 2;
B(i, n+1) = a(i) * n;
B(i, n+3) = n;
}
for (i = 1; i <= n; i++)
B(n+1, i) = 1;
B(n+1, n+1) = s * n;
B(n+1, n+2) = 1;
B(n+1, n+3) = n;
B(n+1, n+3) *= n/2;
swap(B(1), B(n+1));
for (i = 2; i <= n; i++) {
long j = RandomBnd(n-i+2) + i;
swap(B(i), B(j));
}
double t;
LLLStatusInterval = 10;
t = GetTime();
switch (alg) {
case 'f':
BKZ_FP(B, 0.99, size, prune, SubsetSumSolution);
break;
case 'q':
BKZ_QP(B, 0.99, size, prune, SubsetSumSolution);
break;
case 'Q':
BKZ_QP1(B, 0.99, size, prune, SubsetSumSolution);
break;
case 'x':
BKZ_XD(B, 0.99, size, prune, SubsetSumSolution);
break;
case 'r':
BKZ_RR(B, 0.99, size, prune, SubsetSumSolution);
break;
default:
TerminalError("invalid algorithm");
}
t = GetTime()-t;
long succ = 0;
for (i = 1; i <= n+1; i++)
if (SubsetSumSolution(B(i)))
succ = 1;
TotalTime += t;
TotalSucc += succ;
if (succ)
cerr << "+";
else
cerr << "-";
}
cerr << "\n";
cerr << "number of success: " << TotalSucc << "\n";
cerr << "average time: " << TotalTime/20 << "\n";
return 0;
}
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