Submission #802054

# Submission time Handle Problem Language Result Execution time Memory
802054 2023-08-02T09:25:50 Z arush_agu Tents (JOI18_tents) C++17
48 / 100
473 ms 524288 KB
#include <algorithm>
#include <cctype>
#include <cmath>
#include <cstdio>
#include <cstring>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <functional>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <vector>

#ifdef DEBUG
#include <time.h>
#endif

#define all(a) (a).begin(), (a).end()
#define rev(a) (a).rbegin(), (a).rend()
#define F first
#define S second
int recur_depth = 0;
#ifdef DEBUG
#define dbg(x)                                                                 \
  {                                                                            \
    ++recur_depth;                                                             \
    auto x_ = x;                                                               \
    --recur_depth;                                                             \
    cerr << string(recur_depth, '\t') << "\e[91m" << __func__ << ":"           \
         << __LINE__ << "\t" << #x << " = " << x_ << "\e[39m" << endl;         \
  }
#else
#define dbg(x)
#endif

using namespace std;
using namespace __gnu_pbds;

typedef pair<int, int> ii;

typedef long long ll;
typedef long double ld;
typedef pair<ll, ll> llll;

typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pair<int, int>> vii;
typedef vector<vii> vvii;

typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<pair<ll, ll>> vll;
typedef vector<vll> vvll;

typedef vector<bool> vb;

template <class type1>
using ordered_set = tree<type1, null_type, less<type1>, rb_tree_tag,
                         tree_order_statistics_node_update>;

template <typename A, typename B>
ostream &operator<<(ostream &os, const pair<A, B> &p) {
  return os << '(' << p.first << ", " << p.second << ')';
}
template <typename T_container, typename T = typename enable_if<
                                    !is_same<T_container, string>::value,
                                    typename T_container::value_type>::type>
ostream &operator<<(ostream &os, const T_container &v) {
  os << '{';
  string sep;
  for (const T &x : v)
    os << sep << x, sep = ", ";
  return os << '}';
}

const ll MOD = 1e9 + 7;
// const ll MOD = 998244353;
const ll INF = 1e9;
const ld EPS = 1e-9;

void solve() {
  int n, m;
  cin >> n >> m;

  if (n > m)
    swap(n, m);

  vector<vvl> dp(n + 1, vvl(m + 1, vl(m + 1, -1)));
  function<ll(ll, ll, ll)> f = [&](ll r, ll no_free, ll no_put_north) -> ll {
    if (r < 0)
      return 1;
    if (r >= n || no_free < 0 || no_free > m || no_put_north < 0 ||
        no_put_north >= m)
      return 0;

    ll &x = dp[r][no_free][no_put_north];
    if (x != -1)
      return x;

    x = f(r - 1, no_free, no_put_north);
    x += f(r - 1, no_free - 2, no_put_north) * (no_free * (no_free - 1)) / 2;
    x %= MOD;
    x += f(r - 1, no_free, no_put_north - 1) * no_put_north;
    x %= MOD;
    x += f(r - 1, no_free - 1, no_put_north) * no_free * 3;
    x %= MOD;
    x += f(r - 1, no_free - 1, no_put_north + 1) * no_free;
    x %= MOD;

    // cerr << "R: " << r << " NF: " << no_free << " NPN: " << no_put_north
    //      << "\n";
    // cerr << "\t" << x << "\n";

    return x;
  };

  cout << (f(n - 1, m, 0) - 1 + MOD) % MOD << "\n";
}

int main() {
  ios_base::sync_with_stdio(0);
  cin.tie(NULL);

  clock_t start = clock();

  int test_cases = 1;
  // cin >> test_cases;

  while (test_cases--)
    solve();

#ifdef DEBUG
  cerr << fixed << setprecision(10)
       << "\nTime Taken: " << (double)(clock() - start) / CLOCKS_PER_SEC
       << "s\n";
#endif
  return 0;
}

Compilation message

tents.cpp: In function 'int main()':
tents.cpp:135:11: warning: unused variable 'start' [-Wunused-variable]
  135 |   clock_t start = clock();
      |           ^~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 1364 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 1620 KB Output is correct
5 Correct 20 ms 33408 KB Output is correct
6 Correct 39 ms 37436 KB Output is correct
7 Correct 28 ms 36388 KB Output is correct
8 Correct 17 ms 30708 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 88 ms 93720 KB Output is correct
11 Correct 4 ms 8916 KB Output is correct
12 Correct 473 ms 217400 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 1364 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 1620 KB Output is correct
5 Correct 20 ms 33408 KB Output is correct
6 Correct 39 ms 37436 KB Output is correct
7 Correct 28 ms 36388 KB Output is correct
8 Correct 17 ms 30708 KB Output is correct
9 Correct 1 ms 980 KB Output is correct
10 Correct 88 ms 93720 KB Output is correct
11 Correct 4 ms 8916 KB Output is correct
12 Correct 473 ms 217400 KB Output is correct
13 Correct 34 ms 79944 KB Output is correct
14 Correct 64 ms 166904 KB Output is correct
15 Runtime error 238 ms 524288 KB Execution killed with signal 9
16 Halted 0 ms 0 KB -