#include "bits/extc++.h"
using namespace std;
template <typename T>
void dbgh(const T& t) {
cerr << t << endl;
}
template <typename T, typename... U>
void dbgh(const T& t, const U&... u) {
cerr << t << " | ";
dbgh(u...);
}
#ifdef DEBUG
#define dbg(...) \
cerr << "L" << __LINE__ << " [" << #__VA_ARGS__ << "]: "; \
dbgh(__VA_ARGS__);
#else
#define dbg(...)
#define cerr \
if (false) \
cerr
#endif
using ll = long long;
#define endl "\n"
#define long int64_t
#define sz(x) int((x).size())
long k;
map<long, long> memo;
vector<long> arr, psum;
long dp(long x) {
if (!x) {
return 1;
}
auto [it, inserted] = memo.emplace(x, 0);
if (!inserted) {
return it->second;
}
int bit = __lg(x);
long ans = dp((long(1) << bit) - 1);
if ((psum[bit] >> bit) >= k) {
ans += dp(min(x - (long(1) << bit), (psum[bit] - (k << bit)) / k));
}
return it->second = ans;
}
ll count_tastiness(ll _k, vector<ll> _arr) {
k = _k;
arr.clear();
arr.resize(64);
copy(begin(_arr), end(_arr), arr.begin());
psum.resize(64);
long cpsum = 0;
for (int i = 0; i < 64; i++) {
psum[i] = cpsum += arr[i] << i;
}
memo.clear();
dbg(dp(0), dp(1), dp(2), dp(3), dp(4), dp(5), dp(6));
return dp(long(1) << 62);
}
