This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
ll count_tastiness(ll x, vector<ll> a) {
const int k = 60;
while ((int)a.size() < k + 1) a.push_back(0LL);
if (x == 1LL) {
for (int i = 0; i < k; i++) {
ll z = (a[i] - 1LL) / 2LL;
a[i + 1] += z;
a[i] -= 2LL * z;
}
vector<ll> dp(2, 0LL);
dp[0] = 1LL;
for (int i = 0; i < k; i++) {
vector<ll> ndp(2, 0LL);
for (int carry = 0; carry < 2; carry++) {
assert(a[i] >= 0 && a[i] <= 2);
int cur = carry + a[i];
ndp[cur / 2LL] += dp[carry];
if (cur > 0LL) ndp[(cur - 1LL) / 2LL] += dp[carry];
}
dp.swap(ndp);
}
return dp[0] + dp[1];
}
ll res = 0;
for (ll y = 0LL; y <= 100000LL; y++) {
auto a_copy = a;
bool can = true;
for (int i = 0; i < k; i++) {
ll need = x * ((y >> i) & 1LL);
if (a[i] < need) {
can = false;
break;
}
a[i] -= need;
a[i + 1] += a[i] / 2LL;
}
if (can) res++;
a = a_copy;
}
return res;
}
#ifdef LOCAL
int main() {
freopen("input.txt", "r", stdin);
ios::sync_with_stdio(false);
cin.tie(0);
int k;
ll x;
cin >> k >> x;
vector<ll> a(k);
for (ll &z : a) cin >> z;
cout << count_tastiness(x, a);
return 0;
}
#endif
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