Problem p03032 (C++)

Buggy submission (status: Time Limit Exceeded):
//============================================================================
// Everyone has a different way of thinking, so God Created us
//   Hope You Respect My Way..,Thank You ):
// Author      : Murad
// Name        : Codeforces.cpp & Atcoder.cpp
// Description : Problem name
//============================================================================
#include <bits/stdc++.h>
#include <unordered_map>
#include <unordered_set>
using namespace std;
#define pi 3.1415926536
#define forn(i, a, b) for (int i = a; i < b; i++)
#define LL long long
#define ULL unsigned long long
#define MP make_pair
#define ff first
#define ss second
#define endl '\n'
#define INF 1e9 + 1
#define _INF INT32_MIN
#define pq priority_queue
#define MM multimap
#define PB push_back
#define vii vector<int>
#define ipair pair<int, int>
#define lpair pair<LL, LL>
#define El3zba                                                                 \
  ios::sync_with_stdio(0);                                                     \
  cin.tie(0);                                                                  \
  cout.tie(0)
#define modd 1000000007
#define sfll1(v) scanf("%I64d", &v);
#define sfll2(v1, v2) scanf("%I64d %I64d", &v1, &v2)
#define sfll3(v1, v2, v3) scanf("%I64d %I64d %I64d", &v1, &v2, &v3)
// std::transform(s1.begin(), s1.end(), s1.begin(),::tolower);
char alphz[27] = {'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i',
                  'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r',
                  's', 't', 'u', 'v', 'w', 'x', 'y', 'z'};
float Euclidean(LL x1, LL x2, LL y1, LL y2) {
  return sqrt(pow(x1 - x2, 2) + pow(y1 - y2, 2));
}
LL gcd(LL a, LL b) { return !b ? a : gcd(b, a % b); }
LL LCM(LL a, LL b) { return (a * b) / gcd(a, b); }
void PrimeFactor(LL n) {
  while (n % 2 == 0) {
    printf("%d ", 2);
    // aa.insert(2);
    n /= 2;
  }
  for (int i = 3; i <= sqrt(n); i += 2) {
    if (n % i == 0) {
      printf("%d ", i);
      //		aa.insert(i);
      n /= i;
    }
  }
  if (n > 2) {
    printf("%d ", n);
    // aa.insert(n);
  };
}
bool is_square(LL x) {
  LL l = 0, r = x;
  while (l <= r) {
    LL mid = l + (r - l) / 2;
    if (mid * mid == x)
      return true;
    if (mid * mid > x)
      r = mid - 1;
    else
      l = mid + 1;
  }
  return false;
}
LL power(LL x, LL y) {
  LL temp;
  if (y == 0)
    return 1;
  temp = power(x, y / 2);
  if (y % 2 == 0)
    return temp * temp;
  else
    return x * temp * temp;
}
bool is_Prime(int x) {
  if (x == 2)
    return 1;
  else if (x % 2 == 0 || x < 2)
    return 0;
  for (int i = 3; i * i <= x; i += 2)
    if (x % i == 0)
      return 0;
  return 1;
}
vector<int> a(55);
int mem[100][100][100];
LL solv(int l, int r, int k, int n) {
  if (k < 0) {
    return -1e9;
  }
  if (k == 0 or (l > r)) {
    return 0;
  }
  int &ans = mem[l][r][k];
  if (ans != -1)
    return ans;
  if (mem[l][r][k] != -1)
    return mem[l][r][k];
  int x = solv(l + 1, r, k - 1, n) + a[l];
  int y = solv(l, r - 1, k - 1, n) + a[r];
  int z = solv(l + 1, r, k - 2, n);
  int t = solv(l, r - 1, k - 2, n);
  return max({ans, x, y, z, t, 0});
}
int main() {
  El3zba;
  /***  بسم الله الرحمن الرحيم   ***/
  int n, k;
  memset(mem, -1, sizeof mem);
  cin >> n >> k;
  for (int i = 0; i < n; i++)
    cin >> a[i];
  int ans = solv(0, n - 1, k, n);
  cout << ans << endl;
  return 0;
}

Fixed submission:
//============================================================================
// Everyone has a different way of thinking, so God Created us
//   Hope You Respect My Way..,Thank You ):
// Author      : Murad
// Name        : Codeforces.cpp & Atcoder.cpp
// Description : Problem name
//============================================================================
#include <bits/stdc++.h>
#include <unordered_map>
#include <unordered_set>
using namespace std;
#define pi 3.1415926536
#define forn(i, a, b) for (int i = a; i < b; i++)
#define LL long long
#define ULL unsigned long long
#define MP make_pair
#define ff first
#define ss second
#define endl '\n'
#define INF 1e9 + 1
#define _INF INT32_MIN
#define pq priority_queue
#define MM multimap
#define PB push_back
#define vii vector<int>
#define ipair pair<int, int>
#define lpair pair<LL, LL>
#define El3zba                                                                 \
  ios::sync_with_stdio(0);                                                     \
  cin.tie(0);                                                                  \
  cout.tie(0)
#define modd 1000000007
#define sfll1(v) scanf("%I64d", &v);
#define sfll2(v1, v2) scanf("%I64d %I64d", &v1, &v2)
#define sfll3(v1, v2, v3) scanf("%I64d %I64d %I64d", &v1, &v2, &v3)
// std::transform(s1.begin(), s1.end(), s1.begin(),::tolower);
char alphz[27] = {'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i',
                  'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r',
                  's', 't', 'u', 'v', 'w', 'x', 'y', 'z'};
float Euclidean(LL x1, LL x2, LL y1, LL y2) {
  return sqrt(pow(x1 - x2, 2) + pow(y1 - y2, 2));
}
LL gcd(LL a, LL b) { return !b ? a : gcd(b, a % b); }
LL LCM(LL a, LL b) { return (a * b) / gcd(a, b); }
void PrimeFactor(LL n) {
  while (n % 2 == 0) {
    printf("%d ", 2);
    // aa.insert(2);
    n /= 2;
  }
  for (int i = 3; i <= sqrt(n); i += 2) {
    if (n % i == 0) {
      printf("%d ", i);
      //		aa.insert(i);
      n /= i;
    }
  }
  if (n > 2) {
    printf("%d ", n);
    // aa.insert(n);
  };
}
bool is_square(LL x) {
  LL l = 0, r = x;
  while (l <= r) {
    LL mid = l + (r - l) / 2;
    if (mid * mid == x)
      return true;
    if (mid * mid > x)
      r = mid - 1;
    else
      l = mid + 1;
  }
  return false;
}
LL power(LL x, LL y) {
  LL temp;
  if (y == 0)
    return 1;
  temp = power(x, y / 2);
  if (y % 2 == 0)
    return temp * temp;
  else
    return x * temp * temp;
}
bool is_Prime(int x) {
  if (x == 2)
    return 1;
  else if (x % 2 == 0 || x < 2)
    return 0;
  for (int i = 3; i * i <= x; i += 2)
    if (x % i == 0)
      return 0;
  return 1;
}
vector<int> a(55);
int mem[100][100][100];
LL solv(int l, int r, int k, int n) {
  if (k < 0) {
    return -1e9;
  }
  if (k == 0 or (l > r)) {
    return 0;
  }
  int &ans = mem[l][r][k];
  if (ans != -1)
    return ans;
  if (mem[l][r][k] != -1)
    return mem[l][r][k];
  int x = solv(l + 1, r, k - 1, n) + a[l];
  int y = solv(l, r - 1, k - 1, n) + a[r];
  int z = solv(l + 1, r, k - 2, n);
  int t = solv(l, r - 1, k - 2, n);
  ans = max({ans, x, y, z, t, 0});
  return ans;
}
int main() {
  El3zba;
  /***  بسم الله الرحمن الرحيم   ***/
  int n, k;
  memset(mem, -1, sizeof mem);
  cin >> n >> k;
  for (int i = 0; i < n; i++)
    cin >> a[i];
  int ans = solv(0, n - 1, k, n);
  cout << ans << endl;
  return 0;
}