結果
| 問題 |
No.1435 Mmm......
|
| コンテスト | |
| ユーザー |
rniya
|
| 提出日時 | 2021-03-19 22:33:38 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 902 ms / 2,000 ms |
| コード長 | 7,865 bytes |
| コンパイル時間 | 1,974 ms |
| コンパイル使用メモリ | 205,444 KB |
| 最終ジャッジ日時 | 2025-01-19 18:52:41 |
|
ジャッジサーバーID (参考情報) |
judge3 / judge4 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 4 |
| other | AC * 24 |
ソースコード
#define LOCAL
#include <bits/stdc++.h>
using namespace std;
#pragma region Macros
typedef long long ll;
typedef __int128_t i128;
typedef unsigned int uint;
typedef unsigned long long ull;
#define ALL(x) (x).begin(), (x).end()
template <typename T> istream& operator>>(istream& is, vector<T>& v) {
for (T& x : v) is >> x;
return is;
}
template <typename T> ostream& operator<<(ostream& os, const vector<T>& v) {
for (int i = 0; i < (int)v.size(); i++) {
os << v[i] << (i + 1 == (int)v.size() ? "" : " ");
}
return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p) {
os << '(' << p.first << ',' << p.second << ')';
return os;
}
template <typename T, typename U, typename V> ostream& operator<<(ostream& os, const tuple<T, U, V>& t) {
os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ')';
return os;
}
template <typename T, typename U, typename V, typename W> ostream& operator<<(ostream& os, const tuple<T, U, V, W>& t) {
os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ',' << get<3>(t) << ')';
return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const map<T, U>& m) {
os << '{';
for (auto itr = m.begin(); itr != m.end();) {
os << '(' << itr->first << ',' << itr->second << ')';
if (++itr != m.end()) os << ',';
}
os << '}';
return os;
}
template <typename T, typename U> ostream& operator<<(ostream& os, const unordered_map<T, U>& m) {
os << '{';
for (auto itr = m.begin(); itr != m.end();) {
os << '(' << itr->first << ',' << itr->second << ')';
if (++itr != m.end()) os << ',';
}
os << '}';
return os;
}
template <typename T> ostream& operator<<(ostream& os, const set<T>& s) {
os << '{';
for (auto itr = s.begin(); itr != s.end();) {
os << *itr;
if (++itr != s.end()) os << ',';
}
os << '}';
return os;
}
template <typename T> ostream& operator<<(ostream& os, const multiset<T>& s) {
os << '{';
for (auto itr = s.begin(); itr != s.end();) {
os << *itr;
if (++itr != s.end()) os << ',';
}
os << '}';
return os;
}
template <typename T> ostream& operator<<(ostream& os, const unordered_set<T>& s) {
os << '{';
for (auto itr = s.begin(); itr != s.end();) {
os << *itr;
if (++itr != s.end()) os << ',';
}
os << '}';
return os;
}
template <typename T> ostream& operator<<(ostream& os, const deque<T>& v) {
for (int i = 0; i < (int)v.size(); i++) {
os << v[i] << (i + 1 == (int)v.size() ? "" : " ");
}
return os;
}
void debug_out() { cerr << '\n'; }
template <class Head, class... Tail> void debug_out(Head&& head, Tail&&... tail) {
cerr << head;
if (sizeof...(Tail) > 0) cerr << ", ";
debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...) \
cerr << " "; \
cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n'; \
cerr << " "; \
debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
template <typename T> T gcd(T x, T y) { return y != 0 ? gcd(y, x % y) : x; }
template <typename T> T lcm(T x, T y) { return x / gcd(x, y) * y; }
template <class T1, class T2> inline bool chmin(T1& a, T2 b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template <class T1, class T2> inline bool chmax(T1& a, T2 b) {
if (a < b) {
a = b;
return true;
}
return false;
}
#pragma endregion
/**
* @brief Segment Tree
* @docs docs/datastructure/SegmentTree.md
*/
template <typename Monoid> struct SegmentTree {
typedef function<Monoid(Monoid, Monoid)> F;
int n;
F f;
Monoid id;
vector<Monoid> dat;
SegmentTree(int n_, F f, Monoid id) : f(f), id(id) { init(n_); }
void init(int n_) {
n = 1;
while (n < n_) n <<= 1;
dat.assign(n << 1, id);
}
void build(const vector<Monoid>& v) {
for (int i = 0; i < (int)v.size(); i++) dat[i + n] = v[i];
for (int i = n - 1; i; i--) dat[i] = f(dat[i << 1 | 0], dat[i << 1 | 1]);
}
void update(int k, Monoid x) {
dat[k += n] = x;
while (k >>= 1) dat[k] = f(dat[k << 1 | 0], dat[k << 1 | 1]);
}
Monoid query(int a, int b) {
if (a >= b) return id;
Monoid vl = id, vr = id;
for (int l = a + n, r = b + n; l < r; l >>= 1, r >>= 1) {
if (l & 1) vl = f(vl, dat[l++]);
if (r & 1) vr = f(dat[--r], vr);
}
return f(vl, vr);
}
template <typename C> int find_subtree(int k, const C& check, Monoid& M, bool type) {
while (k < n) {
Monoid nxt = type ? f(dat[k << 1 | type], M) : f(M, dat[k << 1 | type]);
if (check(nxt))
k = k << 1 | type;
else
M = nxt, k = k << 1 | (type ^ 1);
}
return k - n;
}
// min i s.t. f(seg[a],seg[a+1],...,seg[i]) satisfy "check"
template <typename C> int find_first(int a, const C& check) {
Monoid L = id;
if (a <= 0) {
if (check(f(L, dat[1]))) return find_subtree(1, check, L, false);
return -1;
}
int b = n;
for (int l = a + n, r = b + n; l < r; l >>= 1, r >>= 1) {
if (l & 1) {
Monoid nxt = f(L, dat[l]);
if (check(nxt)) return find_subtree(l, check, L, false);
L = nxt;
l++;
}
}
return -1;
}
// max i s.t. f(seg[i],...,seg[b-2],seg[b-1]) satisfy "check"
template <typename C> int find_last(int b, const C& check) {
Monoid R = id;
if (b >= n) {
if (check(f(dat[1], R))) return find_subtree(1, check, R, true);
return -1;
}
int a = n;
for (int l = a, r = b + n; l < r; l >>= 1, r >>= 1) {
if (r & 1) {
Monoid nxt = f(dat[--r], R);
if (check(nxt)) return find_subtree(r, check, R, true);
R = nxt;
}
}
return -1;
}
Monoid operator[](int i) { return dat[i + n]; }
};
const int INF = 1e9;
const long long IINF = 1e18;
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
const char dir[4] = {'D', 'R', 'U', 'L'};
const long long MOD = 1000000007;
// const long long MOD = 998244353;
int main() {
cin.tie(0);
ios::sync_with_stdio(false);
int N;
cin >> N;
vector<int> a(N);
cin >> a;
struct node {
int a, b;
node() : a(INF), b(INF) {}
node(int a, int b) : a(a), b(b) {}
};
auto f = [](node a, node b) {
int na, nb;
if (a.a < b.a)
na = a.a, nb = min(a.b, b.a);
else
na = b.a, nb = min(a.a, b.b);
return node(na, nb);
};
auto g = [](int a, int b) { return max(a, b); };
SegmentTree<node> ST1(N, f, node(INF, INF));
vector<node> init;
for (int i = 0; i < N; i++) init.emplace_back(a[i], INF);
ST1.build(init);
SegmentTree<int> ST2(N, g, 0);
ST2.build(a);
auto check = [&](int l, int r) {
auto p = ST1.query(l, r);
int m1 = p.a, m2 = p.b, M = ST2.query(l, r);
// debug(l, r, m1, m2, M);
return M <= m1 + m2;
};
auto solve = [&](int x) {
int lb = x + 1, ub = N + 1;
while (ub - lb > 1) {
int mid = (ub + lb) >> 1;
(check(x, mid) ? lb : ub) = mid;
}
return lb - x - 1;
};
ll ans = 0;
for (int i = 0; i < N; i++) ans += solve(i);
cout << ans << '\n';
return 0;
}
rniya