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;
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define all(a) (a).begin(), (a).end()
#define Time (clock() * 1.0 / CLOCKS_PER_SEC)
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
using ld = long double;
template<typename T1, typename T2> bool chkmin(T1& x, T2 y) {
return y < x ? (x = y, true) : false;
}
template<typename T1, typename T2> bool chkmax(T1& x, T2 y) {
return y > x ? (x = y, true) : false;
}
void debug_out() {
cerr << endl;
}
template<typename T1, typename... T2> void debug_out(T1 A, T2... B) {
cerr << ' ' << A;
debug_out(B...);
}
template<typename T> void mdebug_out(T* a, int n) {
for (int i = 0; i < n; ++i)
cerr << a[i] << ' ';
cerr << endl;
}
#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define mdebug(a, n) cerr << #a << ": ", mdebug_out(a, n)
#else
#define debug(...) 1337
#define mdebug(a, n) 228
#endif
template<typename T> ostream& operator << (ostream& stream, const vector<T>& v) {
for (auto& e : v)
stream << e << ' ';
return stream;
}
template<typename T1, typename T2> ostream& operator << (ostream& stream, const pair<T1, T2>& p) {
return stream << p.first << ' ' << p.second;
}
ll count_tastiness(ll x, vector<ll> a) {
int k = a.size();
vector<ll> s(k + 1, 0);
for (int i = 0; i < k; ++i)
s[i + 1] = s[i] + (a[i] << i);
map<pli, ll> mem;
function<ll(ll, int)> rec = [&](ll m, int i) {
chkmin(m, s[i + 1] / x);
if (m < 0) return 0LL;
pli key = {m, i};
if (mem.count(key)) return mem[key];
if (m == 0 || i < 0) return mem[key] = 1;
if (i == 0) {
return mem[key] = min(a[0] / x, m) + 1;
}
ll block1 = m + 1;
ll block2 = 1LL << i;
return mem[key] = block1 / block2 * rec(block2 - 1, i - 1) + rec(block1 % block2 - 1, i - 1);
};
rec(s[k] / x, k - 1);
return rec(s[k], k - 1);
}
#ifdef LOCAL
int32_t main() {
#ifdef LOCAL
freopen("in", "r", stdin);
#endif
ios::sync_with_stdio(0);
cin.tie(0);
int q;
assert(scanf("%d", &q) == 1);
vector<int> k(q);
vector<long long> x(q);
vector<vector<long long>> a(q);
vector<long long> results(q);
for (int t = 0; t < q; t++) {
assert(scanf("%d%lld", &k[t], &x[t]) == 2);
a[t] = vector<long long>(k[t]);
for (int i = 0; i < k[t]; i++) {
assert(scanf("%lld", &a[t][i]) == 1);
}
}
fclose(stdin);
for (int t = 0; t < q; t++) {
results[t] = count_tastiness(x[t], a[t]);
}
for (int t = 0; t < q; t++) {
printf("%lld\n", results[t]);
}
fclose(stdout);
return 0;
}
#endif
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