Problem p02716 (C++) — buggy submission, verdict: Time Limit Exceeded

// #pragma GCC target ("avx")
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>
using namespace std;
// #define int long long
// #define endl '\\n'

#pragma region TEMPLATE

/* TYPE */
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<string> vst;
typedef vector<bool> vb;
typedef vector<ld> vld;
typedef vector<vector<int>> vvi;
template <typename T, typename Cmp = less<>>
using prique = priority_queue<T, vector<T>, Cmp>;
template <typename T> using prique_r = prique<T, greater<>>;
/* CONSTANT */
#define ln '\\n'
const int INF = 1 << 30;
const ll INFF = 1LL << 60;
const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const int MOD = 1e9 + 7;
const int MODD = 998244353;
const string alphabet = "abcdefghijklmnopqrstuvwxyz";
const double EPS = 1e-9;
const ld PI = 3.14159265358979323846264338327950288;
const int dx[] = {1, 0, -1, 0, 1, -1, -1, 1, 0};
const int dy[] = {0, 1, 0, -1, -1, -1, 1, 1, 0};
/* CONTAINER */
#define PB emplace_back
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(RALL(v))
#define LESS(x, val) (lower_bound(x.begin(), x.end(), val) - x.begin())
#define LEQ(x, val) (upper_bound(x.begin(), x.end(), val) - x.begin())
#define GREATER(x, val) (int)(x).size() - LEQ((x), (val))
#define GEQ(x, val) (int)(x).size() - LESS((x), (val))
#define UNIQUE(v)                                                              \\
  sort(ALL(v));                                                                \\
  (v).erase(unique(ALL(v)), (v).end())
template <typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template <typename T, typename... Ts> auto make_v(size_t a, Ts... ts) {
  return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
template <typename T, typename U, typename... V>
enable_if_t<is_same<T, U>::value != 0> fill_v(U &u, const V... v) {
  u = U(v...);
}
template <typename T, typename U, typename... V>
enable_if_t<is_same<T, U>::value == 0> fill_v(U &u, const V... v) {
  for (auto &e : u)
    fill_v<T>(e, v...);
}
/* LOOP */
#define _overload3(_1, _2, _3, name, ...) name
#define _REP(i, n) REPI(i, 0, n)
#define REPI(i, a, b) for (ll i = (ll)a; i < (ll)b; ++i)
#define REP(...) _overload3(__VA_ARGS__, REPI, _REP, )(__VA_ARGS__)
#define _RREP(i, n) RREPI(i, n, 0)
#define RREPI(i, a, b) for (ll i = (ll)a; i >= (ll)b; --i)
#define RREP(...) _overload3(__VA_ARGS__, RREPI, _RREP, )(__VA_ARGS__)
#define EACH(e, v) for (auto &e : v)
#define PERM(v)                                                                \\
  sort(ALL(v));                                                                \\
  for (bool c##p = true; c##p; c##p = next_permutation(ALL(v)))
/* INPUT */
template <typename T> void SSS(T &t) { cin >> t; }
template <typename Head, typename... Tail>
void SSS(Head &&head, Tail &&...tail) {
  cin >> head;
  SSS(tail...);
}
#define SS(T, ...)                                                             \\
  T __VA_ARGS__;                                                               \\
  SSS(__VA_ARGS__);
#define SV(T, v, n)                                                            \\
  vector<T> v(n);                                                              \\
  for (auto &i : v)                                                            \\
    cin >> i;
#define SVV(T, v, n, m)                                                        \\
  vector<vector<T>> v(n, vector<T>(m));                                        \\
  for (auto &r : v)                                                            \\
    for (auto &i : r)                                                          \\
      cin >> i;
/* OUTPUT */
// PROTOTYPE DECLARATION
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &j);
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t);
template <class C, enable_if_t<!is_same<C, string>::value,
                               decltype(declval<const C &>().begin(),
                                        nullptr)> = nullptr>
ostream &operator<<(ostream &os, const C &c);
template <typename T> ostream &operator<<(ostream &os, const stack<T> &j);
template <typename T> ostream &operator<<(ostream &os, const queue<T> &j);
template <typename T, typename C, typename Cmp>
ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j);
// IMPLEMENTATION
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &j) {
  return os << '{' << j.first << ", " << j.second << '}';
}
template <size_t num = 0, typename... T>
enable_if_t<num == sizeof...(T)> PRINT_TUPLE(ostream &os,
                                             const tuple<T...> &t) {}
template <size_t num = 0, typename... T>
    enable_if_t <
    num<sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) {
  os << get<num>(t);
  if (num + 1 < sizeof...(T))
    os << ", ";
  PRINT_TUPLE<num + 1>(os, t);
}
template <typename... T>
ostream &operator<<(ostream &os, const tuple<T...> &t) {
  PRINT_TUPLE(os << '{', t);
  return os << '}';
}
template <class C, enable_if_t<!is_same<C, string>::value,
                               decltype(declval<const C &>().begin(), nullptr)>>
ostream &operator<<(ostream &os, const C &c) {
  os << '{';
  for (auto it = begin(c); it != end(c); it++) {
    if (begin(c) != it)
      os << ", ";
    os << *it;
  }
  return os << '}';
}
template <typename T> ostream &operator<<(ostream &os, const stack<T> &j) {
  deque<T> d;
  for (auto c = j; !c.empty(); c.pop())
    d.push_front(c.top());
  return os << d;
}
template <typename T> ostream &operator<<(ostream &os, const queue<T> &j) {
  deque<T> d;
  for (auto c = j; !c.empty(); c.pop())
    d.push_back(c.front());
  return os << d;
}
template <typename T, typename C, typename Cmp>
ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j) {
  deque<T> d;
  for (auto c = j; !c.empty(); c.pop())
    d.push_front(c.top());
  return os << d;
}
// OUTPUT FUNCTION
template <typename T> int PV(T &v) {
  int sz = v.size();
  for (int i = 0; i < sz; ++i)
    cout << v[i] << " \\n"[i == sz - 1];
  return 0;
}
inline int print() {
  cout << endl;
  return 0;
}
template <typename Head> int print(Head &&head) {
  cout << head;
  return print();
}
template <typename Head, typename... Tail>
int print(Head &&head, Tail &&...tail) {
  cout << head << " ";
  return print(forward<Tail>(tail)...);
}
#ifdef LOCAL
inline void dump() { cerr << endl; }
template <typename Head> void dump(Head &&head) {
  cerr << head;
  dump();
}
template <typename Head, typename... Tail>
void dump(Head &&head, Tail &&...tail) {
  cerr << head << ", ";
  dump(forward<Tail>(tail)...);
}
#define debug(...)                                                             \\
  do {                                                                         \\
    cerr << __LINE__ << ":\\t" << #__VA_ARGS__ << " = ";                        \\
    dump(__VA_ARGS__);                                                         \\
  } while (false)
#else
#define dump(...)
#define debug(...)
#endif
/* OTHER */
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define tmax(x, y, z) max((x), max((y), (z)))
#define tmin(x, y, z) min((x), min((y), (z)))
template <typename T, typename A, typename B>
inline bool between(T x, A a, B b) {
  return ((a <= x) && (x < b));
}
template <typename A, typename B> inline bool chmax(A &a, const B &b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <typename A, typename B> inline bool chmin(A &a, const B &b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
inline ll POW(ll a, ll b) {
  ll r = 1;
  do {
    if (b & 1)
      r *= a;
    a *= a;
  } while (b >>= 1);
  return r;
}
inline ll MOP(ll a, ll b, const ll &m = MOD) {
  ll r = 1;
  do {
    if (b & 1)
      (r *= a) %= m;
    (a *= a) %= m;
  } while (b >>= 1);
  return r;
}
struct abracadabra {
  abracadabra() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(20);
    cerr << fixed << setprecision(5);
  };
} ABRACADABRA;

#pragma endregion

int N;
vector<int> A;

map<int, ll> dp[200200];

ll rec(int cur, int used) {
  if (cur >= N)
    return (used == N / 2) ? 0 : -INFF;
  if (dp[cur].count(used))
    return dp[cur][used];
  int cantake_mn = (N - cur) / 2;
  int cantake_mx = (N - cur + 1) / 2;
  if (used + cantake_mn > N / 2)
    return dp[cur][used] = -INFF;
  if (used + cantake_mx < N / 2)
    return dp[cur][used] = -INFF;
  return dp[cur][used] =
             max<ll>(A[cur] + rec(cur + 2, used + 1), rec(cur + 1, used));
}

signed main() {

  cin >> N;
  A.resize(N);
  REP(i, N) cin >> A[i];
  print(rec(0, 0));
}


Error: TLE

Fixed submission:

// #pragma GCC target ("avx")
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>
using namespace std;
// #define int long long
// #define endl '\\n'

#pragma region TEMPLATE

/* TYPE */
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<string> vst;
typedef vector<bool> vb;
typedef vector<ld> vld;
typedef vector<vector<int>> vvi;
template <typename T, typename Cmp = less<>>
using prique = priority_queue<T, vector<T>, Cmp>;
template <typename T> using prique_r = prique<T, greater<>>;
/* CONSTANT */
#define ln '\\n'
const int INF = 1 << 30;
const ll INFF = 1LL << 60;
const string ALPHABET = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const int MOD = 1e9 + 7;
const int MODD = 998244353;
const string alphabet = "abcdefghijklmnopqrstuvwxyz";
const double EPS = 1e-9;
const ld PI = 3.14159265358979323846264338327950288;
const int dx[] = {1, 0, -1, 0, 1, -1, -1, 1, 0};
const int dy[] = {0, 1, 0, -1, -1, -1, 1, 1, 0};
/* CONTAINER */
#define PB emplace_back
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(RALL(v))
#define LESS(x, val) (lower_bound(x.begin(), x.end(), val) - x.begin())
#define LEQ(x, val) (upper_bound(x.begin(), x.end(), val) - x.begin())
#define GREATER(x, val) (int)(x).size() - LEQ((x), (val))
#define GEQ(x, val) (int)(x).size() - LESS((x), (val))
#define UNIQUE(v)                                                              \\
  sort(ALL(v));                                                                \\
  (v).erase(unique(ALL(v)), (v).end())
template <typename T> vector<T> make_v(size_t a) { return vector<T>(a); }
template <typename T, typename... Ts> auto make_v(size_t a, Ts... ts) {
  return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
template <typename T, typename U, typename... V>
enable_if_t<is_same<T, U>::value != 0> fill_v(U &u, const V... v) {
  u = U(v...);
}
template <typename T, typename U, typename... V>
enable_if_t<is_same<T, U>::value == 0> fill_v(U &u, const V... v) {
  for (auto &e : u)
    fill_v<T>(e, v...);
}
/* LOOP */
#define _overload3(_1, _2, _3, name, ...) name
#define _REP(i, n) REPI(i, 0, n)
#define REPI(i, a, b) for (ll i = (ll)a; i < (ll)b; ++i)
#define REP(...) _overload3(__VA_ARGS__, REPI, _REP, )(__VA_ARGS__)
#define _RREP(i, n) RREPI(i, n, 0)
#define RREPI(i, a, b) for (ll i = (ll)a; i >= (ll)b; --i)
#define RREP(...) _overload3(__VA_ARGS__, RREPI, _RREP, )(__VA_ARGS__)
#define EACH(e, v) for (auto &e : v)
#define PERM(v)                                                                \\
  sort(ALL(v));                                                                \\
  for (bool c##p = true; c##p; c##p = next_permutation(ALL(v)))
/* INPUT */
template <typename T> void SSS(T &t) { cin >> t; }
template <typename Head, typename... Tail>
void SSS(Head &&head, Tail &&...tail) {
  cin >> head;
  SSS(tail...);
}
#define SS(T, ...)                                                             \\
  T __VA_ARGS__;                                                               \\
  SSS(__VA_ARGS__);
#define SV(T, v, n)                                                            \\
  vector<T> v(n);                                                              \\
  for (auto &i : v)                                                            \\
    cin >> i;
#define SVV(T, v, n, m)                                                        \\
  vector<vector<T>> v(n, vector<T>(m));                                        \\
  for (auto &r : v)                                                            \\
    for (auto &i : r)                                                          \\
      cin >> i;
/* OUTPUT */
// PROTOTYPE DECLARATION
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &j);
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &t);
template <class C, enable_if_t<!is_same<C, string>::value,
                               decltype(declval<const C &>().begin(),
                                        nullptr)> = nullptr>
ostream &operator<<(ostream &os, const C &c);
template <typename T> ostream &operator<<(ostream &os, const stack<T> &j);
template <typename T> ostream &operator<<(ostream &os, const queue<T> &j);
template <typename T, typename C, typename Cmp>
ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j);
// IMPLEMENTATION
template <typename T, typename U>
ostream &operator<<(ostream &os, const pair<T, U> &j) {
  return os << '{' << j.first << ", " << j.second << '}';
}
template <size_t num = 0, typename... T>
enable_if_t<num == sizeof...(T)> PRINT_TUPLE(ostream &os,
                                             const tuple<T...> &t) {}
template <size_t num = 0, typename... T>
    enable_if_t <
    num<sizeof...(T)> PRINT_TUPLE(ostream &os, const tuple<T...> &t) {
  os << get<num>(t);
  if (num + 1 < sizeof...(T))
    os << ", ";
  PRINT_TUPLE<num + 1>(os, t);
}
template <typename... T>
ostream &operator<<(ostream &os, const tuple<T...> &t) {
  PRINT_TUPLE(os << '{', t);
  return os << '}';
}
template <class C, enable_if_t<!is_same<C, string>::value,
                               decltype(declval<const C &>().begin(), nullptr)>>
ostream &operator<<(ostream &os, const C &c) {
  os << '{';
  for (auto it = begin(c); it != end(c); it++) {
    if (begin(c) != it)
      os << ", ";
    os << *it;
  }
  return os << '}';
}
template <typename T> ostream &operator<<(ostream &os, const stack<T> &j) {
  deque<T> d;
  for (auto c = j; !c.empty(); c.pop())
    d.push_front(c.top());
  return os << d;
}
template <typename T> ostream &operator<<(ostream &os, const queue<T> &j) {
  deque<T> d;
  for (auto c = j; !c.empty(); c.pop())
    d.push_back(c.front());
  return os << d;
}
template <typename T, typename C, typename Cmp>
ostream &operator<<(ostream &os, const priority_queue<T, C, Cmp> &j) {
  deque<T> d;
  for (auto c = j; !c.empty(); c.pop())
    d.push_front(c.top());
  return os << d;
}
// OUTPUT FUNCTION
template <typename T> int PV(T &v) {
  int sz = v.size();
  for (int i = 0; i < sz; ++i)
    cout << v[i] << " \\n"[i == sz - 1];
  return 0;
}
inline int print() {
  cout << endl;
  return 0;
}
template <typename Head> int print(Head &&head) {
  cout << head;
  return print();
}
template <typename Head, typename... Tail>
int print(Head &&head, Tail &&...tail) {
  cout << head << " ";
  return print(forward<Tail>(tail)...);
}
#ifdef LOCAL
inline void dump() { cerr << endl; }
template <typename Head> void dump(Head &&head) {
  cerr << head;
  dump();
}
template <typename Head, typename... Tail>
void dump(Head &&head, Tail &&...tail) {
  cerr << head << ", ";
  dump(forward<Tail>(tail)...);
}
#define debug(...)                                                             \\
  do {                                                                         \\
    cerr << __LINE__ << ":\\t" << #__VA_ARGS__ << " = ";                        \\
    dump(__VA_ARGS__);                                                         \\
  } while (false)
#else
#define dump(...)
#define debug(...)
#endif
/* OTHER */
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define tmax(x, y, z) max((x), max((y), (z)))
#define tmin(x, y, z) min((x), min((y), (z)))
template <typename T, typename A, typename B>
inline bool between(T x, A a, B b) {
  return ((a <= x) && (x < b));
}
template <typename A, typename B> inline bool chmax(A &a, const B &b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <typename A, typename B> inline bool chmin(A &a, const B &b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
inline ll gcd(ll a, ll b) { return b ? gcd(b, a % b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }
inline ll POW(ll a, ll b) {
  ll r = 1;
  do {
    if (b & 1)
      r *= a;
    a *= a;
  } while (b >>= 1);
  return r;
}
inline ll MOP(ll a, ll b, const ll &m = MOD) {
  ll r = 1;
  do {
    if (b & 1)
      (r *= a) %= m;
    (a *= a) %= m;
  } while (b >>= 1);
  return r;
}
struct abracadabra {
  abracadabra() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(20);
    cerr << fixed << setprecision(5);
  };
} ABRACADABRA;

#pragma endregion

int N;
vector<int> A;

map<int, ll> dp[200200];

ll rec(int cur, int used) {
  if (cur >= N) {
    if (used == N / 2)
      return 0;
    else
      return -INFF;
  }
  if (dp[cur].count(used))
    return dp[cur][used];

  ll ret = A[cur] + rec(cur + 2, used + 1);
  chmax(ret, rec(cur + 1, used));

  return dp[cur][used] = ret;
}

signed main() {

  cin >> N;
  A.resize(N);
  REP(i, N) cin >> A[i];

  print(rec(0, 0));
}