Problem p02572 (C++) — buggy submission, verdict: Time Limit Exceeded

// #define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
template <typename T> bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T> bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
#define itn int
#define fi first
#define se second
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rrep1(i, n) for (int i = (int)(n); i >= 1; i--)
#define all(vec) vec.begin(), vec.end()
#define sortt(vec) sort((vec).begin(), (vec).end())
#define rsort(vec) sort((vec).rbegin(), (vec).rend())
typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef tuple<ll, ll, ll> tlll;
typedef tuple<int, int, int> tiii;
const ll mod = 1e9 + 7;
const int inf = 2e9;
const ll lnf = 9e18;

struct mint {
  ll x; // typedef long long ll;
  mint(ll x = 0) : x((x % mod + mod) % mod) {}
  mint operator-() const { return mint(-x); }
  mint &operator+=(const mint a) {
    if ((x += a.x) >= mod)
      x -= mod;
    return *this;
  }
  mint &operator-=(const mint a) {
    if ((x += mod - a.x) >= mod)
      x -= mod;
    return *this;
  }
  mint &operator*=(const mint a) {
    (x *= a.x) %= mod;
    return *this;
  }
  mint operator+(const mint a) const { return mint(*this) += a; }
  mint operator-(const mint a) const { return mint(*this) -= a; }
  mint operator*(const mint a) const { return mint(*this) *= a; }
  mint pow(ll t) const {
    if (!t)
      return 1;
    mint a = pow(t >> 1);
    a *= a;
    if (t & 1)
      a *= *this;
    return a;
  }

  // for prime mod
  mint inv() const { return pow(mod - 2); }
  mint &operator/=(const mint a) { return *this *= a.inv(); }
  mint operator/(const mint a) const { return mint(*this) /= a; }
};
istream &operator>>(istream &is, mint &a) { return is >> a.x; }
ostream &operator<<(ostream &os, const mint &a) { return os << a.x; }

int main() {
  itn n;
  cin >> n;
  vector<mint> a(n);
  rep(i, n) cin >> a[i];
  vector<mint> s(n);
  s[0] = a[0];
  rep(i, n - 1) s[i + 1] = s[i] + a[i + 1];
  mint ans = 0;
  rep(i, n) { ans += a[i] * (s[n - 1] - s[i]); }
  cout << ans << endl;
}

Error: TLE

Fixed submission:

#define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
using namespace std;
template <typename T> bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T> bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
#define itn int
#define fi first
#define se second
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rrep1(i, n) for (int i = (int)(n); i >= 1; i--)
#define all(vec) vec.begin(), vec.end()
#define sortt(vec) sort((vec).begin(), (vec).end())
#define rsort(vec) sort((vec).rbegin(), (vec).rend())
typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef tuple<ll, ll, ll> tlll;
typedef tuple<int, int, int> tiii;
const ll mod = 1e9 + 7;
const int inf = 2e9;
const ll lnf = 9e18;

struct mint {
  ll x; // typedef long long ll;
  mint(ll x = 0) : x((x % mod + mod) % mod) {}
  mint operator-() const { return mint(-x); }
  mint &operator+=(const mint a) {
    if ((x += a.x) >= mod)
      x -= mod;
    return *this;
  }
  mint &operator-=(const mint a) {
    if ((x += mod - a.x) >= mod)
      x -= mod;
    return *this;
  }
  mint &operator*=(const mint a) {
    (x *= a.x) %= mod;
    return *this;
  }
  mint operator+(const mint a) const { return mint(*this) += a; }
  mint operator-(const mint a) const { return mint(*this) -= a; }
  mint operator*(const mint a) const { return mint(*this) *= a; }
  mint pow(ll t) const {
    if (!t)
      return 1;
    mint a = pow(t >> 1);
    a *= a;
    if (t & 1)
      a *= *this;
    return a;
  }

  // for prime mod
  mint inv() const { return pow(mod - 2); }
  mint &operator/=(const mint a) { return *this *= a.inv(); }
  mint operator/(const mint a) const { return mint(*this) /= a; }
};
istream &operator>>(istream &is, mint &a) { return is >> a.x; }
ostream &operator<<(ostream &os, const mint &a) { return os << a.x; }

int main() {
  itn n;
  cin >> n;
  vector<mint> a(n);
  rep(i, n) cin >> a[i];
  mint ans = 0;
  rep(i, n) {
    for (int j = i + 1; j < n; j++) {
      ans += a[i] * a[j];
    }
  }
  cout << ans << endl;
}