Problem p02709 (C++)

Buggy submission (status: Runtime Error):
/*
    Author: Nguyen Tan Bao
    Status:
    Idea:
*/

#include <bits/stdc++.h>
#define FI first
#define SE second
#define EPS 1e-9
#define ALL(a) a.begin(), a.end()
#define SZ(a) int((a).size())
#define MS(s, n) memset(s, n, sizeof(s))
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORE(i, a, b) for (int i = (a); i >= (b); i--)
#define FORALL(it, a)                                                          \
  for (__typeof((a).begin()) it = (a).begin(); it != (a).end(); it++)
//__builtin_ffs(x) return 1 + index of least significant 1-bit of x
//__builtin_clz(x) return number of leading zeros of x
//__builtin_ctz(x) return number of trailing zeros of x

using namespace std;
using ll = long long;
using ld = double;
typedef pair<int, int> II;
typedef pair<II, int> III;
typedef complex<ld> cd;
typedef vector<cd> vcd;

const ll MODBASE = 1000000007LL;
const int MAXN = 2010;
const int MAXM = 1000;
const int MAXK = 16;
const int MAXQ = 200010;

int n;
II a[MAXN];
ll dp[MAXN][MAXN];

ll solve(int l, int r) {
  int remain = r - l + 1;
  int start = n - remain + 1;
  if (dp[l][r] != -1)
    return dp[l][r];
  if (l == r)
    return dp[l][r] = (ll)a[start].FI * abs(r - a[start].SE);
  dp[l][r] = max((ll)a[start].FI * abs(r - a[start].SE) + solve(l, r - 1),
                 (ll)a[start].FI * abs(l - a[start].SE) + solve(l + 1, r));
}

int main() {
  ios::sync_with_stdio(0);
  cin.tie(nullptr);
  cin >> n;
  FOR(i, 1, n) {
    cin >> a[i].FI;
    a[i].SE = i;
  }
  sort(a + 1, a + n + 1);
  FOR(i, 1, n / 2) swap(a[i], a[n - i + 1]);
  FOR(i, 1, n)
  FOR(j, 1, n) dp[i][j] = -1;
  cout << solve(1, n);
  return 0;
}


Fixed submission:
/*
    Author: Nguyen Tan Bao
    Status:
    Idea:
*/

#include <bits/stdc++.h>
#define FI first
#define SE second
#define EPS 1e-9
#define ALL(a) a.begin(), a.end()
#define SZ(a) int((a).size())
#define MS(s, n) memset(s, n, sizeof(s))
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORE(i, a, b) for (int i = (a); i >= (b); i--)
#define FORALL(it, a)                                                          \
  for (__typeof((a).begin()) it = (a).begin(); it != (a).end(); it++)
//__builtin_ffs(x) return 1 + index of least significant 1-bit of x
//__builtin_clz(x) return number of leading zeros of x
//__builtin_ctz(x) return number of trailing zeros of x

using namespace std;
using ll = long long;
using ld = double;
typedef pair<int, int> II;
typedef pair<II, int> III;
typedef complex<ld> cd;
typedef vector<cd> vcd;

const ll MODBASE = 1000000007LL;
const int MAXN = 2010;
const int MAXM = 1000;
const int MAXK = 16;
const int MAXQ = 200010;

int n;
II a[MAXN];
ll dp[MAXN][MAXN];

ll solve(int l, int r) {
  int remain = r - l + 1;
  int start = n - remain + 1;
  if (dp[l][r] != -1)
    return dp[l][r];
  if (l == r)
    return dp[l][r] = (ll)a[start].FI * abs(r - a[start].SE);
  return dp[l][r] =
             max((ll)a[start].FI * abs(r - a[start].SE) + solve(l, r - 1),
                 (ll)a[start].FI * abs(l - a[start].SE) + solve(l + 1, r));
}

int main() {
  ios::sync_with_stdio(0);
  cin.tie(nullptr);
  cin >> n;
  FOR(i, 1, n) {
    cin >> a[i].FI;
    a[i].SE = i;
  }
  sort(a + 1, a + n + 1);
  FOR(i, 1, n / 2) swap(a[i], a[n - i + 1]);
  FOR(i, 1, n)
  FOR(j, 1, n) dp[i][j] = -1;
  cout << solve(1, n);
  return 0;
}