2025-09-12 14:50:25 -03:00

133 lines
2.4 KiB
C++

/* Problem URL: https://codeforces.com/contest/888/problem/E */
#include <bits/stdc++.h>
using namespace std;
#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;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
ll m;
cin >> n >> m;
vl fds(n);
repv(i, fds) {
cin >> i;
i %= m;
}
int mid = n / 2;
vl sumsmid;
rep(i, (1 << mid)) {
ll sum = 0;
rep(j, mid) {
if ((i >> j) & 1) {
sum += fds[j];
}
}
sumsmid.push_back(sum % m);
}
vl sums2;
rep(i, (1 << (n - mid))) {
ll sum = 0;
rep(j, n - mid) {
if ((i >> j) & 1) {
sum += fds[j + mid];
}
}
sums2.push_back(sum % m);
}
sortv(sumsmid);
sortv(sums2);
ll ans = max(sumsmid.back(), sums2.back());
repv(i, sumsmid) {
auto itr = upper_bound(all(sums2), m - i - 1);
if (itr == sums2.begin()) {
continue;
}
rmax(ans, (*prev(itr) + i) % m);
}
cout << ans << '\n';
}