結果

問題 No.913 木の燃やし方
ユーザー noimi
提出日時 2024-08-16 16:35:38
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 346 ms / 3,000 ms
コード長 4,260 bytes
コンパイル時間 3,039 ms
コンパイル使用メモリ 228,772 KB
最終ジャッジ日時 2025-02-23 22:50:43
ジャッジサーバーID
(参考情報)
judge4 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 34
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp:20:12: warning: use of ‘auto’ in parameter declaration only available with ‘-std=c++20’ or ‘-fconcepts’
   20 | bool chmin(auto &a, auto b) { return a > b ? a = b, 1 : 0; }
      |            ^~~~
main.cpp:20:21: warning: use of ‘auto’ in parameter declaration only available with ‘-std=c++20’ or ‘-fconcepts’
   20 | bool chmin(auto &a, auto b) { return a > b ? a = b, 1 : 0; }
      |                     ^~~~
main.cpp:21:12: warning: use of ‘auto’ in parameter declaration only available with ‘-std=c++20’ or ‘-fconcepts’
   21 | bool chmax(auto &a, auto b) { return a < b ? a = b, 1 : 0; }
      |            ^~~~
main.cpp:21:21: warning: use of ‘auto’ in parameter declaration only available with ‘-std=c++20’ or ‘-fconcepts’
   21 | bool chmax(auto &a, auto b) { return a < b ? a = b, 1 : 0; }
      |                     ^~~~

ソースコード

diff #
プレゼンテーションモードにする

#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vl vector<ll>
#define ov3(a, b, c, name, ...) name
#define rep0(n) for(ll aaaaa = 0; aaaaa < (n); aaaaa++)
#define rep1(i, n) for(ll i = 0; i < (n); i++)
#define rep2(i, a, b) for(ll i = (a); i < (b); i++)
#define rep(...) ov3(__VA_ARGS__, rep2, rep1, rep0)(__VA_ARGS__)
#define fore(e, v) for(auto &&e : v)
#define all(v) begin(v), end(v)
#define si(a) (int)(size(a))
bool chmin(auto &a, auto b) { return a > b ? a = b, 1 : 0; }
bool chmax(auto &a, auto b) { return a < b ? a = b, 1 : 0; }
const int inf = 11e8;
const ll infl = 2e18;
#define i128 __int128_t
template <bool isMin = true> struct CHT {
#define x first
#define y second
CHT() = default;
deque<pll> v;
bool empty() { return v.empty(); }
void clear() { return v.clear(); }
inline int sgn(ll x) { return !x ? 0 : (x < 0 ? -1 : 1); }
using D = long double;
inline bool check(const pll &a, const pll &b, const pll &c) {
if(b.y == a.y or c.y == b.y) return sgn(b.x - a.x) * sgn(c.y - b.y) >= sgn(c.x - b.x) * sgn(b.y - a.y);
return D(b.x - a.x) * sgn(c.y - b.y) / D(abs(b.y - a.y)) >= D(c.x - b.x) * sgn(b.y - a.y) / D(abs(c.y - b.y));
}
void add(ll a, ll b) {
if(!isMin) a *= -1, b *= -1;
pll line(a, b);
if(empty())
v.emplace_front(line);
else {
if(ll c = v[0].x; c <= a) {
if(c == a) {
if(v[0].y <= b) return;
v.pop_front();
}
while(si(v) >= 2 and check(line, v[0], v[1])) v.pop_front();
v.emplace_front(line);
} else {
assert(a <= v.back().x);
if(v.back().x == a) {
if(v.back().y <= b) return;
v.pop_back();
}
while(si(v) >= 2 and check(v[si(v) - 2], v.back(), line)) v.pop_back();
v.emplace_back(line);
}
}
}
ll get_y(const pll &a, const ll &x) { return a.x * x + a.y; }
ll query(ll x) {
assert(!empty());
int l = -1, r = si(v) - 1;
while(l + 1 < r) {
int m = (l + r) >> 1;
if(get_y(v[m], x) >= get_y(v[m + 1], x))
l = m;
else
r = m;
}
return get_y(v[r], x) * (isMin ? 1 : -1);
}
ll query_monotone_inc(ll x) {
assert(!empty());
while(si(v) >= 2 and get_y(v[0], x) >= get_y(v[1], x)) v.pop_front();
return get_y(v[0], x) * (isMin ? 1 : -1);
}
ll query_monotone_dec(ll x) {
assert(!empty());
while(si(v) >= 2 and get_y(v.back(), x) >= get_y(v.end()[-2], x)) v.pop_back();
return get_y(v.back(), x) * (isMin ? 1 : -1);
}
#undef x
#undef y
};
int main() {
int n;
cin >> n;
vl a(n);
fore(e, a) cin >> e;
vl c(n + 1);
rep(i, n) c[i + 1] = c[i] + a[i];
// (r - l) ^ 2 + c[r] - c[l]
// (r ^ 2 + c[r]) - (c[l] - l^2) - 2lr
vl res(n, infl);
auto rec = [&](auto &&f, int l, int r) {
if(l + 1 == r) {
chmin(res[l], 1 + a[l]);
return;
}
int mid = l + r >> 1;
vl lres(mid - l);
CHT<true> cht;
rep(i, mid, r + 1) { cht.add(-2 * i, i * i + c[i]); }
for(ll i = mid - 1; i >= l; i--) {
ll t = -(c[i] - i * i);
lres[i - l] = cht.query_monotone_dec(i) + t;
}
rep(i, si(lres)) {
if(i) chmin(lres[i], lres[i - 1]);
chmin(res[l + i], lres[i]);
}
cht.clear();
rep(i, l, mid + 1) { cht.add(-2 * i, -(c[i] - i * i)); }
vl rres(r - mid + 1);
rep(i, mid + 1, r + 1) {
ll t = (i * i + c[i]);
rres[i - mid] = cht.query_monotone_inc(i) + t;
}
for(int i = r; i > mid; i--) {
chmin(res[i - 1], rres[i - mid]);
chmin(rres[i - mid - 1], rres[i - mid]);
}
f(f, l, mid), f(f, mid, r);
};
rec(rec, 0, n);
rep(i, n) { cout << res[i] << '\n'; }
}
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