Problem p02683 (C++) — buggy submission, verdict: Time Limit Exceeded

#ifdef LOCAL
#define _GLIBCXX_DEBUG
#define __clock__
#else
#pragma GCC optimize("Ofast")
#endif
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using VI = vector<ll>;
using VV = vector<VI>;
using VS = vector<string>;
using PII = pair<ll, ll>;

// tourist set
template <typename A, typename B> string to_string(pair<A, B> p);

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);

string to_string(const string &s) { return '"' + s + '"'; }

string to_string(const char *s) { return to_string((string)s); }

string to_string(bool b) { return (b ? "true" : "false"); }

string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(v[i]);
  }
  res += "}";
  return res;
}

template <size_t N> string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) {
    res += static_cast<char>('0' + v[i]);
  }
  return res;
}

template <typename A> string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}

template <typename A, typename B> string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " +
         to_string(get<2>(p)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " +
         to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}

void debug_out() { cerr << '\\n'; }

template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}

#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
// tourist set end

template <class T> bool chmax(T &a, const T &b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T> bool chmin(T &a, const T &b) {
  if (b < a) {
    a = b;
    return 1;
  }
  return 0;
}

#define FOR(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep(i, b) FOR(i, 0, b)
#define ALL(v) (v).begin(), (v).end()
#define p(s) cout << (s) << '\\n'
#define p2(s, t) cout << (s) << " " << (t) << '\\n'
#define br() p("")
#define pn(s) cout << (#s) << " " << (s) << '\\n'
#define SZ(x) ((int)(x).size())
#define SORT(A) sort(ALL(A))
#define RSORT(A) sort(ALL(A), greater<ll>())
#define MP make_pair
#define p_yes() p("Yes")
#define p_no() p("No")

ll SUM(VI &V) { return accumulate(ALL(V), 0LL); }

ll MIN(VI &V) { return *min_element(ALL(V)); }
ll MAX(VI &V) { return *max_element(ALL(V)); }

void print_vector(VI &V) {
  ll n = V.size();
  rep(i, n) {
    if (i)
      cout << ' ';
    cout << V[i];
  }
  cout << endl;
}

ll gcd(ll a, ll b) {
  if (b == 0)
    return a;
  return gcd(b, a % b);
}

ll lcm(ll a, ll b) {
  ll g = gcd(a, b);
  return a / g * b;
}

// long double
using ld = long double;
#define EPS (1e-14)
#define equals(a, b) (fabs((a) - (b)) < EPS)

void no() {
  p_no();
  exit(0);
}
void yes() {
  p_yes();
  exit(0);
}

const ll mod = 1e9 + 7;
const ll inf = 1e18;
const double PI = acos(-1);

ll A[13][13];

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);

  // input
  ll N, M, X;
  cin >> N >> M >> X;

  VI C(N);
  rep(i, N) {
    cin >> C[i];
    rep(j, M) { cin >> A[i][j]; }
  }

  // all
  // {
  //   VI skill(M, 0);
  //   rep(i,N){
  //     rep(j,M){
  //       skill[j] += A[i][j];
  //     }
  //   }
  //   ll cnt=0;
  //   rep(i,M){
  //     if(skill[i]>=X) cnt++;
  //   }
  //   if(cnt==M){
  //     ll ans = SUM(C);
  //     p(ans); return 0;
  //   }else{
  //     p(-1);
  //     return 0;
  //   }
  // }

  ll mi = inf;
  rep(f, 1LL << N) {
    // debug(f);
    ll cost = 0;
    VI skill(M, 0);
    ll cnt = 0;
    rep(i, N) {
      if (f >> i & 1) {
        rep(j, M) {
          if (skill[j] < X) {
            skill[j] += A[i][j];
            if (skill[j] >= X)
              cnt++;
          }
        }
        cost += C[i];
      }
      if (cnt == M) {
        chmin(mi, cost);
      }
    }
  }

  // VI I;
  // rep(i,N-1) I.push_back(i);
  // ll mi = inf;
  // do{
  //   ll cost = 0;
  //   VI skill(M, 0);
  //   ll cnt=0;
  //   rep(i,N){
  //     ll idx = I[i];

  //     rep(j,M){
  //       if(skill[j]<X){
  //         skill[j] += A[idx][j];
  //         if(skill[j]>=X) cnt++;
  //       }
  //     }
  //     cost += C[idx];
  //     if(cnt==M){
  //       chmin(mi, cost);
  //       break;
  //     }
  //   }
  // }while(next_permutation(ALL(I)));

  if (mi == inf) {
    p(-1);
  } else {
    p(mi);
  }

  return 0;
}

Error: TLE

Fixed submission:

#ifdef LOCAL
#define _GLIBCXX_DEBUG
#define __clock__
#else
#pragma GCC optimize("Ofast")
#endif
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using VI = vector<ll>;
using VV = vector<VI>;
using VS = vector<string>;
using PII = pair<ll, ll>;

// tourist set
template <typename A, typename B> string to_string(pair<A, B> p);

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);

string to_string(const string &s) { return '"' + s + '"'; }

string to_string(const char *s) { return to_string((string)s); }

string to_string(bool b) { return (b ? "true" : "false"); }

string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(v[i]);
  }
  res += "}";
  return res;
}

template <size_t N> string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) {
    res += static_cast<char>('0' + v[i]);
  }
  return res;
}

template <typename A> string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}

template <typename A, typename B> string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " +
         to_string(get<2>(p)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " +
         to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}

void debug_out() { cerr << '\\n'; }

template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}

#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
// tourist set end

template <class T> bool chmax(T &a, const T &b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T> bool chmin(T &a, const T &b) {
  if (b < a) {
    a = b;
    return 1;
  }
  return 0;
}

#define FOR(i, a, b) for (ll i = (a); i < (b); ++i)
#define rep(i, b) FOR(i, 0, b)
#define ALL(v) (v).begin(), (v).end()
#define p(s) cout << (s) << '\\n'
#define p2(s, t) cout << (s) << " " << (t) << '\\n'
#define br() p("")
#define pn(s) cout << (#s) << " " << (s) << '\\n'
#define SZ(x) ((int)(x).size())
#define SORT(A) sort(ALL(A))
#define RSORT(A) sort(ALL(A), greater<ll>())
#define MP make_pair
#define p_yes() p("Yes")
#define p_no() p("No")

ll SUM(VI &V) { return accumulate(ALL(V), 0LL); }

ll MIN(VI &V) { return *min_element(ALL(V)); }
ll MAX(VI &V) { return *max_element(ALL(V)); }

void print_vector(VI &V) {
  ll n = V.size();
  rep(i, n) {
    if (i)
      cout << ' ';
    cout << V[i];
  }
  cout << endl;
}

ll gcd(ll a, ll b) {
  if (b == 0)
    return a;
  return gcd(b, a % b);
}

ll lcm(ll a, ll b) {
  ll g = gcd(a, b);
  return a / g * b;
}

// long double
using ld = long double;
#define EPS (1e-14)
#define equals(a, b) (fabs((a) - (b)) < EPS)

void no() {
  p_no();
  exit(0);
}
void yes() {
  p_yes();
  exit(0);
}

const ll mod = 1e9 + 7;
const ll inf = 1e18;
const double PI = acos(-1);

ll A[13][13];

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);

  // input
  ll N, M, X;
  cin >> N >> M >> X;

  VI C(N);
  rep(i, N) {
    cin >> C[i];
    rep(j, M) { cin >> A[i][j]; }
  }

  VI I;
  rep(i, N) I.push_back(i);

  ll mi = inf;
  do {
    ll cost = 0;
    VI skill(M, 0);
    ll cnt = 0;
    rep(i, N) {
      ll idx = I[i];

      rep(j, M) {
        if (skill[j] < X) {
          skill[j] += A[idx][j];
          if (skill[j] >= X)
            cnt++;
        }
      }
      cost += C[idx];
      if (cnt == M) {
        chmin(mi, cost);
        break;
      }
    }
  } while (next_permutation(ALL(I)));

  if (mi == inf) {
    p(-1);
  } else {
    p(mi);
  }

  return 0;
}