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

#include <algorithm>
#include <bitset>
#include <cmath>
#include <complex>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <regex>
#include <set>
#include <stack>
#include <string>
#include <vector>

const int MOD = 1e9 + 7;
const int iINF = 2147483647 / 2;
const long long int llINF = 9223372036854775807 / 2;

using namespace std;
using ll = long long int;
using vl = vector<ll>;
using vvl = vector<vector<ll>>;
using vvvl = vector<vector<vector<ll>>>;

typedef pair<ll, ll> pll;
bool paircomp(const pll &a, const pll &b) {
  if (a.first == b.first)
    return a.second < b.second;
  return a.first < b.first;
}

#define REP(i, n) for (ll i = 0; i < (n); i++)
#define RREP(i, n) for (ll i = (n)-1; i >= 0; i--)
#define FOR(i, a, b) for (ll i = (a); i < (b); i++)
#define AUTO(i, m) for (auto &i : m)
#define ALL(a) (a).begin(), (a).end()
#define MAX(vec) *std::max_element(vec.begin(), vec.end())
#define MIN(vec) *std::min_element(vec.begin(), vec.end())
#define ARGMAX(vec)                                                            \\
  std::distance(vec.begin(), std::max_element(vec.begin(), vec.end()))
#define ARGMIN(vec)                                                            \\
  std::distance(vec.begin(), std::min_element(vec.begin(), vec.end()))
#define REV(T) greater<T>()
#define PQ(T) priority_queue<T, vector<T>, greater<T>>
#define VVL(a, b, c) vector<vector<ll>>(a, vector<ll>(b, c))
#define VV(T, a, b, c) vector<vector<T>>(a, vector<T>(b, c))
#define VVVL(a, b, c, d)                                                       \\
  vector<vector<vector<ll>>>(a, vector<vector<ll>>(b, vector<ll>(c, d)))
#define VVV(T, a, b, c, d)                                                     \\
  vector<vector<vector<T>>>(a, vector<vector<T>>(b, vector<T>(c, d)))
#define SP(a) setprecision(a)
#define SQRT(a) sqrt((long double)(a))
#define DPOW(a, b) pow((long double)(a), (long double)(b))
#define UNIQUE(vec)                                                            \\
  do {                                                                         \\
    sort(ALL((vec)));                                                          \\
    (vec).erase(std::unique(ALL((vec))), (vec).end());                         \\
  } while (0)

ll POW(ll n, ll m) {
  if (m == 0) {
    return 1;
  } else if (m % 2 == 0) {
    ll tmp = POW(n, m / 2);
    return (tmp * tmp);
  } else {
    return (n * POW(n, m - 1));
  }
}

int dx[4] = {1, 0, -1, 0};
int dy[4] = {0, 1, 0, -1};

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  ll N;
  cin >> N;
  vl A(N);
  REP(i, N) cin >> A[i];
  vvl DP = VVL(3, N + 1, -llINF);
  // vvl DPC = VVL(2, N + 1, -llINF);
  DP[0][0] = 0;
  // DPC[0][0] = 0;
  REP(i, N) {
    FOR(j, (i) / 2 - 1, (i + 1) / 2 + 1) {
      if (j < 0 || j + 1 >= N)
        continue;
      // cout << i << "," << j << endl;
      DP[2][j + 1] = DP[0][j] + A[i];
    }
    if (i > 0) {
      FOR(j, (i - 1) / 2 - 1, (i) / 2 + 1) {
        if (j < 0 || j + 1 >= N)
          continue;
        // cout << i << "," << j << endl;
        DP[0][j + 1] = max(DP[0][j + 1], DP[1][j + 1]);
      }
    }
    FOR(j, (i) / 2 - 1, (i + 1) / 2 + 1) {
      if (j < 0 || j + 1 >= N)
        continue;
      // cout << i << "," << j << endl;
      DP[1][j + 1] = DP[2][j + 1];
    }

    // cout << (i + 1) / 2 - 1 << "," << (i + 2) << endl;
  }
  // cout << max(DP[0][1], DP[1][1]) << endl;
  cout << max(DP[0][N / 2], DP[1][N / 2]) << endl;
  return 0;
}


Error: TLE

Fixed submission:

#include <algorithm>
#include <bitset>
#include <cmath>
#include <complex>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <regex>
#include <set>
#include <stack>
#include <string>
#include <vector>

const int MOD = 1e9 + 7;
const int iINF = 2147483647 / 2;
const long long int llINF = 9223372036854775807 / 2;

using namespace std;
using ll = long long int;
using vl = vector<ll>;
using vvl = vector<vector<ll>>;
using vvvl = vector<vector<vector<ll>>>;

typedef pair<ll, ll> pll;
bool paircomp(const pll &a, const pll &b) {
  if (a.first == b.first)
    return a.second < b.second;
  return a.first < b.first;
}

#define REP(i, n) for (ll i = 0; i < (n); i++)
#define RREP(i, n) for (ll i = (n)-1; i >= 0; i--)
#define FOR(i, a, b) for (ll i = (a); i < (b); i++)
#define AUTO(i, m) for (auto &i : m)
#define ALL(a) (a).begin(), (a).end()
#define MAX(vec) *std::max_element(vec.begin(), vec.end())
#define MIN(vec) *std::min_element(vec.begin(), vec.end())
#define ARGMAX(vec)                                                            \\
  std::distance(vec.begin(), std::max_element(vec.begin(), vec.end()))
#define ARGMIN(vec)                                                            \\
  std::distance(vec.begin(), std::min_element(vec.begin(), vec.end()))
#define REV(T) greater<T>()
#define PQ(T) priority_queue<T, vector<T>, greater<T>>
#define VVL(a, b, c) vector<vector<ll>>(a, vector<ll>(b, c))
#define VV(T, a, b, c) vector<vector<T>>(a, vector<T>(b, c))
#define VVVL(a, b, c, d)                                                       \\
  vector<vector<vector<ll>>>(a, vector<vector<ll>>(b, vector<ll>(c, d)))
#define VVV(T, a, b, c, d)                                                     \\
  vector<vector<vector<T>>>(a, vector<vector<T>>(b, vector<T>(c, d)))
#define SP(a) setprecision(a)
#define SQRT(a) sqrt((long double)(a))
#define DPOW(a, b) pow((long double)(a), (long double)(b))
#define UNIQUE(vec)                                                            \\
  do {                                                                         \\
    sort(ALL((vec)));                                                          \\
    (vec).erase(std::unique(ALL((vec))), (vec).end());                         \\
  } while (0)

ll POW(ll n, ll m) {
  if (m == 0) {
    return 1;
  } else if (m % 2 == 0) {
    ll tmp = POW(n, m / 2);
    return (tmp * tmp);
  } else {
    return (n * POW(n, m - 1));
  }
}

int dx[4] = {1, 0, -1, 0};
int dy[4] = {0, 1, 0, -1};

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(NULL);
  ll N;
  cin >> N;
  vl A(N);
  REP(i, N) cin >> A[i];
  vvl DP = VVL(2, N + 1, -llINF);
  DP[0][0] = 0;
  REP(i, N) {
    auto DPC = DP;
    if (i > 0) {
      FOR(j, (i - 1) / 2 - 1, (i) / 2 + 1) {
        if (j < 0 || j + 1 >= N)
          continue;
        // cout << i << "," << j << endl;
        DP[0][j + 1] = max(DPC[0][j + 1], DPC[1][j + 1]);
      }
    }
    // cout << (i + 1) / 2 - 1 << "," << (i + 2) << endl;
    FOR(j, (i) / 2 - 1, (i + 1) / 2 + 1) {
      if (j < 0 || j + 1 >= N)
        continue;
      // cout << i << "," << j << endl;
      DP[1][j + 1] = DPC[0][j] + A[i];
    }
  }
  // cout << max(DP[0][1], DP[1][1]) << endl;
  cout << max(DP[0][N / 2], DP[1][N / 2]) << endl;
  return 0;
}