oj.uz

Submission #862997

# Submission time Handle Problem Language Result Execution time Memory
862997 2023-10-19T12:47:37 Z mgl_diamond Skyscraper (JOI16_skyscraper) C++17
100 / 100
 32 ms 18256 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ii = pair<int, int>;
 
#define foru(i, l, r) for(int i=(l); i<=(r); ++i)
#define ford(i, l, r) for(int i=(l); i>=(r); --i)
#define fore(x, v) for(auto &x : v)
#define all(x) (x).begin(), (x).end()
#define sz(x) (int)(x).size()
#define fi first
#define se second
#define file "input"

void setIO() {
  ios::sync_with_stdio(0);
  cin.tie(0); cout.tie(0);
  if (fopen(file".inp", "r")) {
    freopen(file".inp", "r", stdin);
    freopen(file".out", "w", stdout);
  }
}

const int MOD = 1e9+7;
int n, l, a[101];
int dp[101][101][1010][3];

void ADD(int &a, int b) { a += b; if (a >= MOD) a -= MOD; }
int mul(int a, int b) { return 1LL * a * b % MOD; }

int main() {
  setIO();

  cin >> n >> l;
  foru(i, 1, n) cin >> a[i];
  sort(a+1, a+n+1);

  if (n == 1) {
    cout << 1;
    return 0;
  }

  dp[1][1][0][0] = 1;
  dp[1][1][0][1] = 2;

  foru(i, 1, n-1) {
    int value = a[i+1];

    foru(cc, 0, i) 
      foru(cost, 0, l)
        foru(end, 0, 2) {
          int cur = dp[i][cc][cost][end];
          if (cur == 0) continue;

          // cout << "process " << i << " elements\n";
          // cout << "num cc " << cc << "\n";
          // cout << "cost " << cost << "\n";
          // cout << "endpoint filled " << end << "\n";
          // cout << cur << "\n";
          // cout << "-------\n";

          int nx_cost = cost + (a[i+1] - a[i]) * (cc * 2 - end);
          // cout << nx_cost << "\n";
          if (nx_cost > l) continue;

          // new cc at endpoint
          if (end < 2) ADD(dp[i+1][cc+1][nx_cost][end+1], mul(cur, 2 - end));

          // append cc with endpoint
          if (end < 2 && cc >= 1) ADD(dp[i+1][cc][nx_cost][end+1], mul(cur, 2 - end));

          // place in the middle
          ADD(dp[i+1][cc+1][nx_cost][end], mul(cur, cc + 1 - end));

          // append two cc
          if (cc >= 2) ADD(dp[i+1][cc-1][nx_cost][end], mul(cur, cc-1));

          // place left or right of cc
          if (cc >= 1) ADD(dp[i+1][cc][nx_cost][end], mul(cur, 2*cc-end));
        }
  }

  // cout << dp[2][2][2][1] << "\n";

  int ans = 0;
  foru(i, 0, l) ADD(ans, dp[n][1][i][2]);
  cout << ans;
}

Compilation message

skyscraper.cpp: In function 'int main()':
skyscraper.cpp:47:9: warning: unused variable 'value' [-Wunused-variable]
   47 |     int value = a[i+1];
      |         ^~~~~
skyscraper.cpp: In function 'void setIO()':
skyscraper.cpp:19:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   19 |     freopen(file".inp", "r", stdin);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
skyscraper.cpp:20:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   20 |     freopen(file".out", "w", stdout);
      |     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2648 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2764 KB Output is correct
7 Correct 1 ms 2652 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2904 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct
6 Correct 1 ms 2652 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2652 KB Output is correct
9 Correct 1 ms 2652 KB Output is correct
10 Correct 1 ms 2652 KB Output is correct
11 Correct 1 ms 2652 KB Output is correct
12 Correct 1 ms 2652 KB Output is correct
13 Correct 1 ms 2652 KB Output is correct
14 Correct 1 ms 2648 KB Output is correct
15 Correct 1 ms 2652 KB Output is correct
16 Correct 1 ms 2764 KB Output is correct
17 Correct 1 ms 2652 KB Output is correct
18 Correct 1 ms 2652 KB Output is correct
19 Correct 1 ms 2904 KB Output is correct
20 Correct 1 ms 2652 KB Output is correct
21 Correct 1 ms 3416 KB Output is correct
22 Correct 31 ms 18256 KB Output is correct
23 Correct 32 ms 8284 KB Output is correct
24 Correct 21 ms 11336 KB Output is correct
25 Correct 21 ms 9048 KB Output is correct
26 Correct 19 ms 8804 KB Output is correct
27 Correct 16 ms 10332 KB Output is correct
28 Correct 23 ms 11860 KB Output is correct
29 Correct 29 ms 14420 KB Output is correct
30 Correct 21 ms 9304 KB Output is correct