#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
template<typename T>
bool assign_min(T& a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template<typename T>
bool assign_max(T& a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}
ll count_tastiness(ll x, vector<ll> a) {
    while (a.size() < 62) {
        a.push_back(0);
    }
    
    vector<ll> pref(62);
    for (int i = 0; i < 62; i++) {
        pref[i] = (i == 0 ? 0 : pref[i - 1]) + (a[i] << i);
    }
    
    map<ll, int> f;
    auto solve = [&](auto self, ll n) {
        if (f.count(n)) {
            return f[n];
        }
        if (n <= 0) {
            return 0;
        }
        ll b = __lg(n - 1);
        ll ans = self(self, (1LL << b)) + self(self, min(n, 1 + pref[b] / x) - (1LL << b));
        return f[n] = ans;
    };
    f[0] = 0;
    f[1] = 1;
    return solve(solve, 1e18);
}
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