# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
489699 | JerryLiu06 | City (BOI06_city) | C++17 | 1087 ms | 332 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// https://oj.uz/problem/view/BOI06_city
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using db = double;
using str = string;
using pi = pair<int, int>;
using pl = pair<ll, ll>;
using pd = pair<db, db>;
using vi = vector<int>;
using vb = vector<bool>;
using vl = vector<ll>;
using vd = vector<db>;
using vs = vector<str>;
using vpi = vector<pi>;
using vpl = vector<pl>;
using vpd = vector<pd>;
#define FASTIO ios_base::sync_with_stdio(false); cin.tie(0);
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)(x).size()
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pb push_back
#define pf push_front
#define lb lower_bound
#define ub upper_bound
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) FOR(i, 0, a)
#define ROF(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define R0F(i, a) ROF(i, 0, a)
#define EACH(a, x) for (auto& a : x)
ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); }
ll fdiv(ll a, ll b) { return a / b - ((a ^ b) < 0 && a % b); }
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
template<class T> void remDup(vector<T>& v) { sor(v); v.erase(unique(all(v)), v.end()); }
const int MOD = 1e9 + 7;
const int MX = 2e4 + 10;
const ll INF = 1e18;
ll N; int T, K; int C[MX];
ll sum1(ll x) {
return x * (x + 1) / 2;
}
ll sum2(ll x) {
return x * (x + 1) * (2 * x + 1) / 6;
}
pl workersCost(ll maxCost) {
ll numWorkers = 0;
ll totCost = 0;
F0R(i, K) {
ll diff = maxCost - C[i];
if (diff < 0) {
break;
}
diff /= T;
if (diff > 1e6) {
return {INF, INF};
}
ll curWorkers = 4 * sum1(diff + 1);
ll totDist = 4 * (sum2(diff) + sum1(diff));
totCost += T * totDist + C[i] * curWorkers;
numWorkers += curWorkers;
}
return {numWorkers, totCost};
}
int main() {
FASTIO;
cin >> N >> T >> K;
F0R(i, K) {
cin >> C[i];
}
ll low = 0; ll high = 1e12; ll res = -1;
while (low <= high) {
int mid = (low + high) / 2;
if (workersCost(mid).f < N) {
res = mid; low = mid + 1;
}
else {
high = mid - 1;
}
}
pl cur = workersCost(res);
cout << cur.s + (N - cur.f) * (res + 1) << "\n";
}
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