oj.uz

Submission #836464

# Submission time Handle Problem Language Result Execution time Memory
836464 2023-08-24T11:35:24 Z lipa_debowa Skyscraper (JOI16_skyscraper) C++17
100 / 100
 46 ms 5332 KB 
// #pragma GCC optimize("O3")
// #pragma GCC optimize("Ofast")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

#include <bits/stdc++.h>
using namespace std;

// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// using namespace __gnu_pbds;
// typedef tree<int, null_type, less<int>, rb_tree_tag,
// tree_order_statistics_node_update> ordered_set;

#define rep(i, n) for (int i = 0; i < n; i++)
#define pb push_back
#define debug(x) cout << #x << " " << x << endl
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define ll long long
#define vi vector<int>
#define vvi vector<vi>
#define vvvi vector<vvi>
#define vll vector<ll>
#define vvll vector<vll>
#define ld long double
#define ull unsigned long long
#define vull vector<ull>
#define fi first
#define se second
#define PII pair<int, int>
#define vPII vector<PII>
#define getunique(v)                                                           \
  {                                                                            \
    sort(v.begin(), v.end());                                                  \
    v.erase(unique(v.begin(), v.end()), v.end());                              \
  }
#define int128 __int128
#define LSOne(x) (x & (-x))

const ll mod = 1e9 + 7;

namespace modop {

ll madd(long long a, long long b) {
  return (a + b) % mod;
}

ll msub(ll a, ll b) {
  return (((a - b) % mod) + mod) % mod;
}

ll mmul(ll a, ll b) {
  return ((a % mod) * (b % mod)) % mod;
}

ll mpow(ll base, ll exp) {
  ll res = 1;
  while (exp) {
    if (exp % 2 == 1) {
      res = (res * base) % mod;
    }
    exp >>= 1;
    base = (base * base) % mod;
  }
  return res;
}

ll minv(ll base) {
  return mpow(base, mod - 2);
}

ll mdiv(ll a, ll b) {
  return mmul(a, minv(b));
}

const ll FACTORIAL_SIZE = 1.1e6;
ll fact[FACTORIAL_SIZE], ifact[FACTORIAL_SIZE];
bool __factorials_generated__ = 0;

void gen_factorial(ll n) {
  __factorials_generated__ = 1;
  fact[0] = fact[1] = ifact[0] = ifact[1] = 1;

  for (ll i = 2; i <= n; i++) {
    fact[i] = (i * fact[i - 1]) % mod;
  }
  ifact[n] = minv(fact[n]);
  for (ll i = n - 1; i >= 2; i--) {
    ifact[i] = ((i + 1) * ifact[i + 1]) % mod;
  }
}

ll nck(ll n, ll k) {
  if (!__factorials_generated__) {
    cerr << "Call gen_factorial you dope" << endl;
    exit(1);
  }
  if (k < 0 || n < k)
    return 0;
  ll den = (ifact[k] * ifact[n - k]) % mod;
  return (den * fact[n]) % mod;
}

} // namespace modop

using namespace modop;

ll dp[2][105][3][1005];

void solve([[maybe_unused]] int tc_idx = 0) {
  int n,L; cin >> n >> L;
  vi a(n+1); rep(i,n) cin >> a[i+1];
  if(n==1){
    cout << 1;
    return;
  }
  sort(all(a));
  a[0] = a[1];
  a.pb(a[n]);
  dp[0][0][0][0] = 1;
  for(int i = 1; i <= n; i++){
    int cur = i&1;
    int pre = cur^1;
    memset(dp[cur],0,sizeof(dp[cur]));
    for(int j = 1; j <= i; j++){
      for(int k = 0; k <= 2; k++){
        for(int l = 0; l <= L; l++){
          // brzegow jest j * 2 - k
          int pom = l-(2*j-k)*(a[i+1]-a[i]);
          if(pom >= 0){
            // tworzymy nowy nie na koncu
            if(j) dp[cur][j][k][l] += dp[pre][j-1][k][pom]*(j-k);
            // tworzymy nowy na koncu
            if(j and k) dp[cur][j][k][l] += dp[pre][j-1][k-1][pom]*(3-k);
            // dołaczamy z jednej storny (nie na koncach)
            dp[cur][j][k][l] += dp[pre][j][k][pom]*(2*j-k);
            // dolaczany na koncu ktoryms
            if(k) dp[cur][j][k][l] += dp[pre][j][k-1][pom]*(3-k);
            // laczymy dwa
            dp[cur][j][k][l] += dp[pre][j+1][k][pom] * j;

            dp[cur][j][k][l] %= mod;
          }
        }
      }
    }
  }
  ll suma = 0;
  rep(i,L+1) suma = madd(suma, dp[n&1][1][2][i]);
  cout << suma;
}


int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  cout.tie(nullptr);
  cout << setprecision(16) << fixed;
  // srand(time(NULL));
  // freopen("input.txt", "r", stdin);
  // freopen("output.txt", "w", stdout);
  int tt = 1;
  // cin >> tt;
  rep(i, tt) solve(i);
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 3 ms 5204 KB Output is correct
4 Correct 2 ms 5204 KB Output is correct
5 Correct 3 ms 5204 KB Output is correct
6 Correct 4 ms 5204 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 2 ms 5204 KB Output is correct
9 Correct 4 ms 5204 KB Output is correct
10 Correct 2 ms 5204 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 5204 KB Output is correct
2 Correct 3 ms 5204 KB Output is correct
3 Correct 3 ms 5248 KB Output is correct
4 Correct 3 ms 5204 KB Output is correct
5 Correct 3 ms 5204 KB Output is correct
6 Correct 3 ms 5204 KB Output is correct
7 Correct 3 ms 5332 KB Output is correct
8 Correct 3 ms 5204 KB Output is correct
9 Correct 3 ms 5204 KB Output is correct
10 Correct 3 ms 5204 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 2 ms 5204 KB Output is correct
3 Correct 3 ms 5204 KB Output is correct
4 Correct 2 ms 5204 KB Output is correct
5 Correct 3 ms 5204 KB Output is correct
6 Correct 4 ms 5204 KB Output is correct
7 Correct 3 ms 5204 KB Output is correct
8 Correct 2 ms 5204 KB Output is correct
9 Correct 4 ms 5204 KB Output is correct
10 Correct 2 ms 5204 KB Output is correct
11 Correct 3 ms 5204 KB Output is correct
12 Correct 3 ms 5204 KB Output is correct
13 Correct 3 ms 5248 KB Output is correct
14 Correct 3 ms 5204 KB Output is correct
15 Correct 3 ms 5204 KB Output is correct
16 Correct 3 ms 5204 KB Output is correct
17 Correct 3 ms 5332 KB Output is correct
18 Correct 3 ms 5204 KB Output is correct
19 Correct 3 ms 5204 KB Output is correct
20 Correct 3 ms 5204 KB Output is correct
21 Correct 5 ms 5196 KB Output is correct
22 Correct 31 ms 5268 KB Output is correct
23 Correct 39 ms 5204 KB Output is correct
24 Correct 34 ms 5204 KB Output is correct
25 Correct 46 ms 5204 KB Output is correct
26 Correct 35 ms 5204 KB Output is correct
27 Correct 17 ms 5204 KB Output is correct
28 Correct 19 ms 5204 KB Output is correct
29 Correct 32 ms 5204 KB Output is correct
30 Correct 38 ms 5288 KB Output is correct