Submission #442356

# Submission time Handle Problem Language Result Execution time Memory
442356 2021-07-07T13:59:01 Z DmitryGrigorev Packing Biscuits (IOI20_biscuits) C++14
100 / 100
62 ms 1352 KB
#include <bits/stdc++.h>
#define ll long long
#define db long double
#define x first
#define y second
#define mp make_pair
#define pb push_back
#define all(a) a.begin(), a.end()

using namespace std;

const int mod = 1000000007;

void add(int& a, int b) {
  a += b;
  if (a >= mod) a -= mod;
  if (a < 0) a += mod;
}

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

int bp(int a, int b) {
  int res = 1;
  while (b > 0) {
    if (b & 1) res = mult(res, a);
    a = mult(a, a);
    b >>= 1;
  }
  return res;
}

ll dp[61][61];

ll count_tastiness(ll x, vector<ll> a) {

  int k = a.size();

  vector<ll> bounds;
  ll sum = 0;

  for (int i = 0; i < 60; ++i) {
    if (i < k) sum += (1LL<<i)*a[i];
    bounds.pb(sum / x);
  }

  for (int i = 0; i < 61; ++i) for (int j = 0; j < 61; ++j) dp[i][j] = 0;
  dp[60][0] = 1;

  for (int i = 60; i > 0; --i) {
    for (int j = 0; j < 61; ++j) {

      ll R = (1LL<<i) - 1;
      if (j > 0) R = bounds[j - 1] % (1LL<<i);
      ll C = bounds[i - 1];

      //////////////////////////////// ZERO TRANSITION


      if (R >= (1LL<<(i-1)) && C >= (1LL<<(i-1))) {
        dp[i - 1][0] += dp[i][j];
      }
      else if (R <= C) {
        dp[i - 1][j] += dp[i][j];
      }
      else {
        dp[i - 1][i] += dp[i][j];
      }

      ////////////////////////////////

      if (R < (1LL<<(i-1)) || C < (1LL<<(i-1))) {
        continue;
      }
      else if (R <= C) {
        dp[i - 1][j] += dp[i][j];
      }
      else {
        dp[i - 1][i] += dp[i][j];
      }

    }


  }

  ll ans = 0;
  for (int j = 0; j < 61; ++j) ans += dp[0][j];
  return ans;
}


#ifdef LOCAL
int main(){
	freopen("A_input.txt", "r", stdin);
	//freopen("A_output.txt", "w", stdout);
	ios_base::sync_with_stdio(0);
	cin.tie(0);

  int k;
  ll x;

  cin >> k >> x;

  vector<ll> v(k);
  for (auto &x : v) cin >> x;

  cout << count_tastiness(x, v) << endl;

}

#endif
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 296 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 292 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 24 ms 332 KB Output is correct
2 Correct 37 ms 1196 KB Output is correct
3 Correct 37 ms 1100 KB Output is correct
4 Correct 38 ms 1100 KB Output is correct
5 Correct 38 ms 1200 KB Output is correct
6 Correct 43 ms 1132 KB Output is correct
7 Correct 38 ms 1148 KB Output is correct
8 Correct 45 ms 1100 KB Output is correct
9 Correct 40 ms 1164 KB Output is correct
10 Correct 38 ms 1100 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 204 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 296 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 1 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 1 ms 204 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 1 ms 204 KB Output is correct
26 Correct 1 ms 204 KB Output is correct
27 Correct 1 ms 204 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 292 KB Output is correct
37 Correct 24 ms 332 KB Output is correct
38 Correct 37 ms 1196 KB Output is correct
39 Correct 37 ms 1100 KB Output is correct
40 Correct 38 ms 1100 KB Output is correct
41 Correct 38 ms 1200 KB Output is correct
42 Correct 43 ms 1132 KB Output is correct
43 Correct 38 ms 1148 KB Output is correct
44 Correct 45 ms 1100 KB Output is correct
45 Correct 40 ms 1164 KB Output is correct
46 Correct 38 ms 1100 KB Output is correct
47 Correct 28 ms 424 KB Output is correct
48 Correct 62 ms 1336 KB Output is correct
49 Correct 36 ms 412 KB Output is correct
50 Correct 55 ms 1148 KB Output is correct
51 Correct 33 ms 1352 KB Output is correct
52 Correct 22 ms 436 KB Output is correct
53 Correct 30 ms 1100 KB Output is correct
54 Correct 38 ms 1164 KB Output is correct
55 Correct 37 ms 1204 KB Output is correct
56 Correct 41 ms 1204 KB Output is correct
57 Correct 37 ms 1228 KB Output is correct