oj.uz

Submission #619812

# Submission time Handle Problem Language Result Execution time Memory
619812 2022-08-02T16:08:55 Z slime Uplifting Excursion (BOI22_vault) C++14
20 / 100
 33 ms 46292 KB 
#include "bits/stdc++.h"
using namespace std;
#define int long long
const int MAXN = 3e5 + 10;
const int MOD = 1e9 + 7;
#define ll __int128
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
  int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
ll read() { int x; cin >> x; return (ll)x; }
long long bm(long long b, long long p) {
  if(p==0) return 1 % MOD;
  long long r = bm(b, p >> 1);
  if(p&1) return (((r*r) % MOD) * b) % MOD;
  return (r*r) % MOD;
}
long long inv(long long b) { 
  return bm(b, MOD-2);
}
long long f[MAXN];
long long nCr(int n, int r) { 
  long long ans = f[n]; ans *= inv(f[r]); ans %= MOD;
  ans *= inv(f[n-r]); ans %= MOD; return ans;
}
long long fib[MAXN], lucas[MAXN];
void precomp() { 
  for(int i=0; i<MAXN; i++) f[i] = (i == 0 ? 1 % MOD : (f[i-1] * i) % MOD); 
  lucas[0] = 2;
  lucas[1] = 1;
  for(int i=2; i<MAXN; i++) lucas[i] = (lucas[i-2] + lucas[i-1]) % MOD;
  fib[0] = 0;
  fib[1] = 1;
  for(int i=2; i<MAXN; i++) fib[i] = (fib[i-2] + fib[i-1]) % MOD;
}
int fastlog(int x) {
  return (x == 0 ? -1 : 64 - __builtin_clzll(x) - 1);
}
void gay(int i) { cout << "Case #" << i << ": "; }
int csb(int l, int r, int k) { // count number of [l, r] such that i & 2^k > 0
  if(l > r) return 0;
  if(l == 0) {
    int s = r / (1ll << (k+1)); // number of complete cycles
    int t = r % (1ll << (k+1));
    int ans = s * (1ll << k);
    ans += (t >= (1ll << k) ? t - (1ll << k) + 1 : 0);
    return ans;
  }
  else return csb(0, r, k) - csb(0, l - 1, k);
}
int lis(vector<int> a) {
  int n = a.size();
  int bucket[n+1];
  for(int i=1; i<=n; i++) bucket[i] = 1e18;
  int ans = 1;
  for(int x: a) {
    auto it = lower_bound(bucket + 1, bucket +n +1, x);
    int d = distance(bucket, it);
    ans = max(ans, d);
    bucket[d] = min(bucket[d], x);
  }
  return ans;
}
vector<int> all_min_knapsacks(vector<int> v, int m) {
  int n = v.size();
  int dp[n][m+1];
  for(int i=0; i<=m; i++) dp[0][i] = 1e18;
  dp[0][0] = 0;
  dp[0][v[0]] = 1;
  for(int i=1; i<n; i++) {
    dp[i][0] = 0;
    for(int j=1; j<=m; j++) {
      dp[i][j] = dp[i-1][j];
      if(j >= v[i]) dp[i][j] = min(dp[i][j], dp[i-1][j-v[i]] + 1);
    }
  }
  vector<int> soln;
  for(int i=0; i<=m; i++) {
    if(dp[n-1][i] == 1e18) soln.push_back(-1);
    else soln.push_back(dp[n-1][i]);
  }
  return soln;

}
vector<int> all_max_knapsacks(vector<int> v, int m) {
  int n = v.size();
  int dp[n][m+1];
  for(int i=0; i<=m; i++) dp[0][i] = -1e18;
  dp[0][0] = 0;
  dp[0][v[0]] = 1;
  for(int i=1; i<n; i++) {
    dp[i][0] = 0;
    for(int j=1; j<=m; j++) {
      dp[i][j] = dp[i-1][j];
      if(j >= v[i]) dp[i][j] = max(dp[i][j], dp[i-1][j-v[i]] + 1);
    }
  }
  vector<int> soln;
  for(int i=0; i<=m; i++) {
    if(dp[n-1][i] == -1e18) soln.push_back(-1);
    else soln.push_back(dp[n-1][i]);
  }
  return soln;

}
vector<int> min_knapsack(vector<int> v, int m) {
  int n = v.size();
  int dp[n][m+1];
  for(int i=0; i<=m; i++) dp[0][i] = 1e18;
  dp[0][0] = 0;
  dp[0][v[0]] = 1;
  for(int i=1; i<n; i++) {
    dp[i][0] = 0;
    for(int j=1; j<=m; j++) {
      dp[i][j] = dp[i-1][j];
      if(j >= v[i]) dp[i][j] = min(dp[i][j], dp[i-1][j-v[i]] + 1);
    }
  }
  if(dp[n-1][m] == 1e18) return {};
  vector<int> sol;
  int j = m;
  for(int i=n-1; i>=0; i--) {
    if(i == 0) {
      if(j > 0) {
        sol.push_back(v[i]);
      }
      break;
    }
    if(j >= v[i] && dp[i][j] == dp[i-1][j-v[i]] + 1) {
      sol.push_back(v[i]);
      j -= v[i];
    }
  }
  return sol;

}
vector<int> max_knapsack(vector<int> v, int m) {
  int n = v.size();
  int dp[n][m+1];
  for(int i=0; i<=m; i++) dp[0][i] = -1e18;
  dp[0][0] = 0;
  dp[0][v[0]] = 1;
  for(int i=1; i<n; i++) {
    dp[i][0] = 0;
    for(int j=1; j<=m; j++) {
      dp[i][j] = dp[i-1][j];
      if(j >= v[i]) dp[i][j] = max(dp[i][j], dp[i-1][j-v[i]] + 1);
    }
  }
  if(dp[n-1][m] == -1e18) return {};
  vector<int> sol;
  int j = m;
  for(int i=n-1; i>=0; i--) {
    if(i == 0) {
      if(j > 0) {
        sol.push_back(v[i]);
      }
      break;
    }
    if(j >= v[i] && dp[i][j] == dp[i-1][j-v[i]] + 1) {
      sol.push_back(v[i]);
      j -= v[i];
    }
  }
  return sol;

}
void solve(int tc) {
  int m, l; cin >> m >> l;
  int a[m+1];
  for(int i=0; i<m; i++) {
    int x; cin >> x;
  }
  for(int i=0; i<=m; i++) cin >> a[i];
  int contains[m+1];
  for(int i=0; i<=m; i++) contains[i] = 0;
  int sum = 0;
  contains[0] = a[0];
  if(l < 0) {
    cout << "impossible\n"; return;
  }
  if(l == 0) {
    cout << a[0] << "\n"; return;
  }
  for(int i=1; i<=m; i++) {
    int owo = min(a[i], (l - sum) / i);
    sum += owo * i;
    contains[i] = owo;
    if(sum == l) break;
    if(owo < a[i] && sum + i > l) {
      sum += i;
      contains[i]++;
      break;
    }
  }
  if(sum < l) {
    cout << "impossible\n"; return;
  }
  if(sum == l) {
    int sm = 0;
    for(int i=0; i<=m; i++) sm += contains[i];
    cout << sm << "\n"; return;
  }
  vector<int> in, out;
  for(int i=1; i<=m; i++) {
    for(int j=0; j<min(m, contains[i]); j++) in.push_back(i);
    for(int j=0; j<min(m, a[i] - contains[i]); j++) out.push_back(i);
  }
  if(in.empty() || out.empty()) {
    cout << "impossible\n"; return;
  }
  int A = sum - l;
  int insum = 0, outsum = 0;
  for(int x: in ) insum += x;
  for(int x: out ) outsum += x;
  insum = 3000, outsum = 3000;
  vector<int> resin = all_min_knapsacks(in, insum);
  vector<int> resout = all_max_knapsacks(out, outsum);
  int sm = 0;
  for(int i=0; i<=m; i++) sm += contains[i];
  int ans = -1;
  int id;
  for(int x=0; x<resout.size(); x++) {
    if(resout[x] != -1 && A + x < resin.size() && resin[A + x] != -1) {
      if(sm - resin[A + x] + resout[x] > ans) {
        ans = sm - resin[A + x] + resout[x];
        id = x;
      }
    }
  }
  //vector<int> mi = min_knapsack(in, A + x);
  //vector<int> ma = max_knapsack(out, x);
  cout << (ans == -1 ? "impossible" : to_string(ans)) << "\n";

} 
int32_t main() {
  precomp();
  ios::sync_with_stdio(0); cin.tie(0);
  int t = 1; //cin >> t;
  for(int i=1; i<=t; i++) solve(i);
}
// I don't know geometry.
// Teaming is unfair.

/*

*/

Compilation message

vault.cpp: In function 'void solve(long long int)':
vault.cpp:223:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  223 |   for(int x=0; x<resout.size(); x++) {
      |                ~^~~~~~~~~~~~~~
vault.cpp:224:33: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  224 |     if(resout[x] != -1 && A + x < resin.size() && resin[A + x] != -1) {
      |                           ~~~~~~^~~~~~~~~~~~~~
vault.cpp:222:7: warning: variable 'id' set but not used [-Wunused-but-set-variable]
  222 |   int id;
      |       ^~

Subtask #1
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 7252 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #2
0 / 15.0

# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 7252 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7320 KB Output is correct
2 Correct 16 ms 20676 KB Output is correct
3 Correct 7 ms 7296 KB Output is correct
4 Correct 16 ms 15828 KB Output is correct
5 Correct 22 ms 25252 KB Output is correct
6 Correct 16 ms 18516 KB Output is correct
7 Correct 9 ms 8784 KB Output is correct
8 Correct 8 ms 8148 KB Output is correct
9 Correct 11 ms 12760 KB Output is correct
10 Correct 15 ms 16972 KB Output is correct

Subtask #3-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7320 KB Output is correct
2 Correct 16 ms 20676 KB Output is correct
3 Correct 7 ms 7296 KB Output is correct
4 Correct 16 ms 15828 KB Output is correct
5 Correct 22 ms 25252 KB Output is correct
6 Correct 16 ms 18516 KB Output is correct
7 Correct 9 ms 8784 KB Output is correct
8 Correct 8 ms 8148 KB Output is correct
9 Correct 11 ms 12760 KB Output is correct
10 Correct 15 ms 16972 KB Output is correct
11 Incorrect 9 ms 7252 KB Output isn't correct
12 Halted 0 ms 0 KB -

Subtask #4-1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7320 KB Output is correct
2 Correct 16 ms 20676 KB Output is correct
3 Correct 7 ms 7296 KB Output is correct
4 Correct 16 ms 15828 KB Output is correct
5 Correct 22 ms 25252 KB Output is correct
6 Correct 16 ms 18516 KB Output is correct
7 Correct 9 ms 8784 KB Output is correct
8 Correct 8 ms 8148 KB Output is correct
9 Correct 11 ms 12760 KB Output is correct
10 Correct 15 ms 16972 KB Output is correct
11 Correct 8 ms 7252 KB Output is correct
12 Correct 16 ms 20692 KB Output is correct
13 Correct 8 ms 7332 KB Output is correct
14 Correct 14 ms 15840 KB Output is correct
15 Correct 22 ms 25304 KB Output is correct
16 Correct 14 ms 18388 KB Output is correct
17 Correct 9 ms 8788 KB Output is correct
18 Correct 8 ms 8084 KB Output is correct
19 Correct 11 ms 12704 KB Output is correct
20 Correct 13 ms 16944 KB Output is correct
21 Correct 9 ms 8532 KB Output is correct
22 Correct 9 ms 8532 KB Output is correct
23 Correct 27 ms 43448 KB Output is correct
24 Correct 7 ms 7328 KB Output is correct
25 Correct 28 ms 43256 KB Output is correct
26 Correct 28 ms 36596 KB Output is correct
27 Correct 29 ms 46292 KB Output is correct
28 Correct 29 ms 39764 KB Output is correct

Subtask #4-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 7252 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7320 KB Output is correct
2 Correct 16 ms 20676 KB Output is correct
3 Correct 7 ms 7296 KB Output is correct
4 Correct 16 ms 15828 KB Output is correct
5 Correct 22 ms 25252 KB Output is correct
6 Correct 16 ms 18516 KB Output is correct
7 Correct 9 ms 8784 KB Output is correct
8 Correct 8 ms 8148 KB Output is correct
9 Correct 11 ms 12760 KB Output is correct
10 Correct 15 ms 16972 KB Output is correct
11 Correct 8 ms 7252 KB Output is correct
12 Correct 16 ms 20692 KB Output is correct
13 Correct 8 ms 7332 KB Output is correct
14 Correct 14 ms 15840 KB Output is correct
15 Correct 22 ms 25304 KB Output is correct
16 Correct 14 ms 18388 KB Output is correct
17 Correct 9 ms 8788 KB Output is correct
18 Correct 8 ms 8084 KB Output is correct
19 Correct 11 ms 12704 KB Output is correct
20 Correct 13 ms 16944 KB Output is correct
21 Correct 9 ms 8532 KB Output is correct
22 Correct 9 ms 8532 KB Output is correct
23 Correct 27 ms 43448 KB Output is correct
24 Correct 7 ms 7328 KB Output is correct
25 Correct 28 ms 43256 KB Output is correct
26 Correct 28 ms 36596 KB Output is correct
27 Correct 29 ms 46292 KB Output is correct
28 Correct 29 ms 39764 KB Output is correct
29 Correct 9 ms 7252 KB Output is correct
30 Correct 15 ms 20672 KB Output is correct
31 Correct 8 ms 7252 KB Output is correct
32 Correct 15 ms 15820 KB Output is correct
33 Correct 19 ms 25300 KB Output is correct
34 Correct 14 ms 18388 KB Output is correct
35 Correct 9 ms 8788 KB Output is correct
36 Correct 9 ms 8148 KB Output is correct
37 Correct 11 ms 12756 KB Output is correct
38 Correct 16 ms 16988 KB Output is correct
39 Correct 9 ms 8532 KB Output is correct
40 Correct 9 ms 8548 KB Output is correct
41 Correct 27 ms 43460 KB Output is correct
42 Correct 10 ms 7380 KB Output is correct
43 Correct 29 ms 43312 KB Output is correct
44 Correct 28 ms 36556 KB Output is correct
45 Correct 33 ms 46284 KB Output is correct
46 Correct 27 ms 39656 KB Output is correct
47 Incorrect 9 ms 9812 KB Output isn't correct
48 Halted 0 ms 0 KB -

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 7252 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6-1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7320 KB Output is correct
2 Correct 16 ms 20676 KB Output is correct
3 Correct 7 ms 7296 KB Output is correct
4 Correct 16 ms 15828 KB Output is correct
5 Correct 22 ms 25252 KB Output is correct
6 Correct 16 ms 18516 KB Output is correct
7 Correct 9 ms 8784 KB Output is correct
8 Correct 8 ms 8148 KB Output is correct
9 Correct 11 ms 12760 KB Output is correct
10 Correct 15 ms 16972 KB Output is correct
11 Correct 8 ms 7252 KB Output is correct
12 Correct 16 ms 20692 KB Output is correct
13 Correct 8 ms 7332 KB Output is correct
14 Correct 14 ms 15840 KB Output is correct
15 Correct 22 ms 25304 KB Output is correct
16 Correct 14 ms 18388 KB Output is correct
17 Correct 9 ms 8788 KB Output is correct
18 Correct 8 ms 8084 KB Output is correct
19 Correct 11 ms 12704 KB Output is correct
20 Correct 13 ms 16944 KB Output is correct
21 Correct 9 ms 8532 KB Output is correct
22 Correct 9 ms 8532 KB Output is correct
23 Correct 27 ms 43448 KB Output is correct
24 Correct 7 ms 7328 KB Output is correct
25 Correct 28 ms 43256 KB Output is correct
26 Correct 28 ms 36596 KB Output is correct
27 Correct 29 ms 46292 KB Output is correct
28 Correct 29 ms 39764 KB Output is correct
29 Correct 9 ms 7252 KB Output is correct
30 Correct 15 ms 20672 KB Output is correct
31 Correct 8 ms 7252 KB Output is correct
32 Correct 15 ms 15820 KB Output is correct
33 Correct 19 ms 25300 KB Output is correct
34 Correct 14 ms 18388 KB Output is correct
35 Correct 9 ms 8788 KB Output is correct
36 Correct 9 ms 8148 KB Output is correct
37 Correct 11 ms 12756 KB Output is correct
38 Correct 16 ms 16988 KB Output is correct
39 Correct 9 ms 8532 KB Output is correct
40 Correct 9 ms 8548 KB Output is correct
41 Correct 27 ms 43460 KB Output is correct
42 Correct 10 ms 7380 KB Output is correct
43 Correct 29 ms 43312 KB Output is correct
44 Correct 28 ms 36556 KB Output is correct
45 Correct 33 ms 46284 KB Output is correct
46 Correct 27 ms 39656 KB Output is correct
47 Incorrect 9 ms 9812 KB Output isn't correct
48 Halted 0 ms 0 KB -

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 8 ms 7252 KB Output isn't correct
2 Halted 0 ms 0 KB -