Codeforces-solutions/Codeforces Global Round 27/D. Yet Another Real Number Problem.cpp

191 lines
3.8 KiB
C++

/* Problem URL: https://codeforces.com/problemset/problem/2035/D */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
void pre()
{
}
#define TEST 1
void solve()
{
int n;
cin >> n;
vl a(n);
cin >> a;
ll mod = 1e9 + 7;
vvi rem(n);
vl count(n);
while (~a[n - 1] & 1) {
count[n - 1]++;
a[n - 1] >>= 1;
}
stack<tuple<ll, ll, int>> s;
s.emplace(a[n - 1], count[n - 1], n - 1);
auto comp = [&](tuple<ll, ll, int> al, tuple<ll, ll, int> bl) {
auto [a, pa, _] = al;
auto [b, pb, __] = bl;
if (pb >= 30) {
return false;
}
if (pa == 0) {
return a > (b << pb);
}
return (a << pa) + (b << pb) > a + (b << (pb + pa));
};
for (int i = n - 2; i >= 0; i--) {
while (~a[i] & 1) {
count[i]++;
a[i] >>= 1;
}
tuple<ll, ll, int> tup = {a[i], count[i], i};
auto [a, pa, _] = tup;
while (!s.empty() && comp(tup, s.top())) {
auto [b, pb, _] = s.top();
s.pop();
if (!s.empty()) {
auto &[tb, tpb, __] = s.top();
tpb += pb;
}
}
if (s.empty()) {
s.emplace(tup);
continue;
}
auto &[b, pb, j] = s.top();
rem[j].push_back(i);
s.emplace(tup);
}
auto fpow = [&](ll a, ll p) {
ll ans = 1;
rep(i, 60) {
if ((p >> i) & 1) {
ans = (ans * a) % mod;
}
a = (a * a) % mod;
}
return ans;
};
ll total = 0;
rep(i, n) {
repv(j, rem[i]) {
total = ((total - a[j] * fpow(2, count[j])) % mod + mod) % mod;
total = (total + a[j]) % mod;
count[i] += count[j];
}
total = (total + a[i] * fpow(2, count[i])) % mod;
cout << total << " \n"[i == n - 1];
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}