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Cod sursa(job #82067)
#include <iostream>
const int maxn = 1000000;
FILE *in = fopen("patrate2.in","r"), *out = fopen("patrate2.out","w");
int N;
int H[maxn];
int B[10];
void mul(int A[], int B)
{
int i, t = 0;
for (i = 1; i <= A[0] || t; i++, t /= 10)
A[i] = (t += A[i] * B) % 10;
A[0] = i - 1;
}
void mulmare(int A[], int B[])
{
int i, j, t, C[maxn];
memset(C, 0, sizeof(C));
for (i = 1; i <= A[0]; i++)
{
for (t=0, j=1; j <= B[0] || t; j++, t/=10)
C[i+j-1]=(t+=C[i+j-1]+A[i]*B[j])%10;
if (i + j - 2 > C[0]) C[0] = i + j - 2;
}
memcpy(A, C, sizeof(C));
}
int main()
{
fscanf(in, "%d", &N);
int t = N;
if ( t >= 10 )
{
int cnt = 0;
while ( t )
{
B[++cnt] = t % 10;
t /= 10;
}
B[0] = cnt;
}
H[0] = 1;
H[1] = 2;
int end = N*N;
for ( int i = 1; i < end; ++i )
mul(H, 2);
if ( N < 10 )
mul(H, N);
else
mulmare(H, B);
for ( int i = H[0]; i; --i )
fprintf(out, "%d", H[i]);
return 0;
}