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10229.cpp
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#include <bits/stdc++.h>
using namespace std;
long long n, m, myMode;
// (a * b + c) % d = ((a % d) * (b % d) + c % d) %d
long long Divide_Conquer_Fib(long long n)
{
long long i, j, h, k, t;
i = h = 1;
j = k = 0;
while (n > 0)
{
if (n % 2 == 1)
{
// if n is odd
t = ((j % myMode) * (h % myMode)) % myMode;
j = ((i % myMode) * (h % myMode) + (j % myMode) * (k % myMode) + (t % myMode)) % myMode;
i = ((i % myMode) * (k % myMode) + (t % myMode)) % myMode;
// cout<<t<<" "<<j<<" "<<i<<endl;
}
t = (h % myMode) * (h % myMode) % myMode;
h = (2 * (k % myMode) * (h % myMode) + (t % myMode)) % myMode;
k = ((k % myMode) * (k % myMode) + (t % myMode)) % myMode;
n = n / 2;
}
return j;
}
int main()
{
while (cin >> n >> m)
{
myMode = (long long)pow(2, m);
cout << Divide_Conquer_Fib(n) % myMode << endl;
}
return 0;
}