oj.uz

Submission #620103

# Submission time Handle Problem Language Result Execution time Memory
620103 2022-08-02T23:29:49 Z slime Uplifting Excursion (BOI22_vault) C++14
30 / 100
 5000 ms 9812 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[2][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 & 1][0] = 0;
    for(int j=1; j<=m; j++) dp[i & 1][j] = 1e18;
    for(int j=1; j<=m; j++) {
      dp[i & 1][j] = dp[(i-1) & 1][j];
      if(j >= v[i]) dp[i & 1][j] = min(dp[i & 1][j], dp[(i-1) & 1][j-v[i]] + 1);
    }
  }
  vector<int> soln;
  for(int i=0; i<=m; i++) {
    if(dp[(n-1) & 1][i] == 1e18) soln.push_back(-1);
    else soln.push_back(dp[(n-1) & 1][i]);
  }
  return soln;

}
vector<int> all_max_knapsacks(vector<int> v, int m) {
  int n = v.size();
  int dp[2][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 & 1][0] = 0;
    for(int j=1; j<=m; j++) dp[i & 1][j] = -1e18;
    for(int j=1; j<=m; j++) {
      dp[i & 1][j] = dp[(i-1) & 1][j];
      if(j >= v[i]) dp[i & 1][j] = max(dp[i & 1][j], dp[(i-1) & 1][j-v[i]] + 1);
    }
  }
  vector<int> soln;
  for(int i=0; i<=m; i++) {
    if(dp[(n-1) & 1][i] == -1e18) soln.push_back(-1);
    else soln.push_back(dp[(n-1) & 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 = min(insum, m*m);
  outsum = min(outsum, m*m);
  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.

/*
5 16
0 0 0 0 0 0 0 0 3 2 1
*/

Compilation message

vault.cpp: In function 'void solve(long long int)':
vault.cpp:226:17: 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]
  226 |   for(int x=0; x<resout.size(); x++) {
      |                ~^~~~~~~~~~~~~~
vault.cpp:227:33: 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]
  227 |     if(resout[x] != -1 && A + x < resin.size() && resin[A + x] != -1) {
      |                           ~~~~~~^~~~~~~~~~~~~~
vault.cpp:225:7: warning: variable 'id' set but not used [-Wunused-but-set-variable]
  225 |   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 7252 KB Output is correct
2 Correct 9 ms 7380 KB Output is correct
3 Correct 8 ms 7368 KB Output is correct
4 Correct 8 ms 7380 KB Output is correct
5 Correct 9 ms 7380 KB Output is correct
6 Correct 9 ms 7380 KB Output is correct
7 Correct 7 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 9 ms 7380 KB Output is correct
10 Correct 8 ms 7380 KB Output is correct

Subtask #3-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7252 KB Output is correct
2 Correct 9 ms 7380 KB Output is correct
3 Correct 8 ms 7368 KB Output is correct
4 Correct 8 ms 7380 KB Output is correct
5 Correct 9 ms 7380 KB Output is correct
6 Correct 9 ms 7380 KB Output is correct
7 Correct 7 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 9 ms 7380 KB Output is correct
10 Correct 8 ms 7380 KB Output is correct
11 Incorrect 8 ms 7336 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 7252 KB Output is correct
2 Correct 9 ms 7380 KB Output is correct
3 Correct 8 ms 7368 KB Output is correct
4 Correct 8 ms 7380 KB Output is correct
5 Correct 9 ms 7380 KB Output is correct
6 Correct 9 ms 7380 KB Output is correct
7 Correct 7 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 9 ms 7380 KB Output is correct
10 Correct 8 ms 7380 KB Output is correct
11 Correct 8 ms 7252 KB Output is correct
12 Correct 8 ms 7320 KB Output is correct
13 Correct 8 ms 7252 KB Output is correct
14 Correct 9 ms 7332 KB Output is correct
15 Correct 11 ms 7364 KB Output is correct
16 Correct 8 ms 7380 KB Output is correct
17 Correct 8 ms 7380 KB Output is correct
18 Correct 8 ms 7296 KB Output is correct
19 Correct 8 ms 7380 KB Output is correct
20 Correct 8 ms 7380 KB Output is correct
21 Correct 8 ms 7368 KB Output is correct
22 Correct 8 ms 7380 KB Output is correct
23 Correct 14 ms 7436 KB Output is correct
24 Correct 8 ms 7380 KB Output is correct
25 Correct 16 ms 7380 KB Output is correct
26 Correct 23 ms 7400 KB Output is correct
27 Correct 15 ms 7448 KB Output is correct
28 Correct 13 ms 7496 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
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7252 KB Output is correct
2 Correct 9 ms 7380 KB Output is correct
3 Correct 8 ms 7368 KB Output is correct
4 Correct 8 ms 7380 KB Output is correct
5 Correct 9 ms 7380 KB Output is correct
6 Correct 9 ms 7380 KB Output is correct
7 Correct 7 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 9 ms 7380 KB Output is correct
10 Correct 8 ms 7380 KB Output is correct
11 Correct 8 ms 7252 KB Output is correct
12 Correct 8 ms 7320 KB Output is correct
13 Correct 8 ms 7252 KB Output is correct
14 Correct 9 ms 7332 KB Output is correct
15 Correct 11 ms 7364 KB Output is correct
16 Correct 8 ms 7380 KB Output is correct
17 Correct 8 ms 7380 KB Output is correct
18 Correct 8 ms 7296 KB Output is correct
19 Correct 8 ms 7380 KB Output is correct
20 Correct 8 ms 7380 KB Output is correct
21 Correct 8 ms 7368 KB Output is correct
22 Correct 8 ms 7380 KB Output is correct
23 Correct 14 ms 7436 KB Output is correct
24 Correct 8 ms 7380 KB Output is correct
25 Correct 16 ms 7380 KB Output is correct
26 Correct 23 ms 7400 KB Output is correct
27 Correct 15 ms 7448 KB Output is correct
28 Correct 13 ms 7496 KB Output is correct
29 Correct 7 ms 7308 KB Output is correct
30 Correct 8 ms 7380 KB Output is correct
31 Correct 7 ms 7252 KB Output is correct
32 Correct 11 ms 7396 KB Output is correct
33 Correct 10 ms 7380 KB Output is correct
34 Correct 8 ms 7380 KB Output is correct
35 Correct 8 ms 7380 KB Output is correct
36 Correct 7 ms 7380 KB Output is correct
37 Correct 8 ms 7384 KB Output is correct
38 Correct 9 ms 7352 KB Output is correct
39 Correct 9 ms 7380 KB Output is correct
40 Correct 8 ms 7380 KB Output is correct
41 Correct 14 ms 7436 KB Output is correct
42 Correct 8 ms 7380 KB Output is correct
43 Correct 13 ms 7496 KB Output is correct
44 Correct 16 ms 7508 KB Output is correct
45 Correct 13 ms 7408 KB Output is correct
46 Correct 15 ms 7436 KB Output is correct
47 Correct 10 ms 7764 KB Output is correct
48 Correct 12 ms 7828 KB Output is correct
49 Correct 95 ms 7900 KB Output is correct
50 Correct 8 ms 7380 KB Output is correct
51 Correct 112 ms 7820 KB Output is correct
52 Correct 143 ms 7916 KB Output is correct
53 Correct 91 ms 7800 KB Output is correct
54 Correct 82 ms 7868 KB Output is correct

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 7252 KB Output is correct
2 Correct 9 ms 7380 KB Output is correct
3 Correct 8 ms 7368 KB Output is correct
4 Correct 8 ms 7380 KB Output is correct
5 Correct 9 ms 7380 KB Output is correct
6 Correct 9 ms 7380 KB Output is correct
7 Correct 7 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 9 ms 7380 KB Output is correct
10 Correct 8 ms 7380 KB Output is correct
11 Correct 8 ms 7252 KB Output is correct
12 Correct 8 ms 7320 KB Output is correct
13 Correct 8 ms 7252 KB Output is correct
14 Correct 9 ms 7332 KB Output is correct
15 Correct 11 ms 7364 KB Output is correct
16 Correct 8 ms 7380 KB Output is correct
17 Correct 8 ms 7380 KB Output is correct
18 Correct 8 ms 7296 KB Output is correct
19 Correct 8 ms 7380 KB Output is correct
20 Correct 8 ms 7380 KB Output is correct
21 Correct 8 ms 7368 KB Output is correct
22 Correct 8 ms 7380 KB Output is correct
23 Correct 14 ms 7436 KB Output is correct
24 Correct 8 ms 7380 KB Output is correct
25 Correct 16 ms 7380 KB Output is correct
26 Correct 23 ms 7400 KB Output is correct
27 Correct 15 ms 7448 KB Output is correct
28 Correct 13 ms 7496 KB Output is correct
29 Correct 7 ms 7308 KB Output is correct
30 Correct 8 ms 7380 KB Output is correct
31 Correct 7 ms 7252 KB Output is correct
32 Correct 11 ms 7396 KB Output is correct
33 Correct 10 ms 7380 KB Output is correct
34 Correct 8 ms 7380 KB Output is correct
35 Correct 8 ms 7380 KB Output is correct
36 Correct 7 ms 7380 KB Output is correct
37 Correct 8 ms 7384 KB Output is correct
38 Correct 9 ms 7352 KB Output is correct
39 Correct 9 ms 7380 KB Output is correct
40 Correct 8 ms 7380 KB Output is correct
41 Correct 14 ms 7436 KB Output is correct
42 Correct 8 ms 7380 KB Output is correct
43 Correct 13 ms 7496 KB Output is correct
44 Correct 16 ms 7508 KB Output is correct
45 Correct 13 ms 7408 KB Output is correct
46 Correct 15 ms 7436 KB Output is correct
47 Correct 10 ms 7764 KB Output is correct
48 Correct 12 ms 7828 KB Output is correct
49 Correct 95 ms 7900 KB Output is correct
50 Correct 8 ms 7380 KB Output is correct
51 Correct 112 ms 7820 KB Output is correct
52 Correct 143 ms 7916 KB Output is correct
53 Correct 91 ms 7800 KB Output is correct
54 Correct 82 ms 7868 KB Output is correct
55 Correct 8 ms 7360 KB Output is correct
56 Correct 8 ms 7308 KB Output is correct
57 Correct 7 ms 7352 KB Output is correct
58 Correct 9 ms 7380 KB Output is correct
59 Correct 8 ms 7352 KB Output is correct
60 Correct 9 ms 7320 KB Output is correct
61 Correct 9 ms 7304 KB Output is correct
62 Correct 8 ms 7392 KB Output is correct
63 Correct 8 ms 7380 KB Output is correct
64 Correct 8 ms 7380 KB Output is correct
65 Correct 8 ms 7380 KB Output is correct
66 Correct 9 ms 7508 KB Output is correct
67 Correct 13 ms 7508 KB Output is correct
68 Correct 8 ms 7368 KB Output is correct
69 Correct 14 ms 7436 KB Output is correct
70 Correct 17 ms 7496 KB Output is correct
71 Correct 13 ms 7452 KB Output is correct
72 Correct 13 ms 7508 KB Output is correct
73 Correct 11 ms 7776 KB Output is correct
74 Correct 10 ms 7764 KB Output is correct
75 Correct 98 ms 7876 KB Output is correct
76 Correct 7 ms 7348 KB Output is correct
77 Correct 107 ms 7912 KB Output is correct
78 Correct 145 ms 7912 KB Output is correct
79 Correct 91 ms 7800 KB Output is correct
80 Correct 79 ms 7872 KB Output is correct
81 Execution timed out 5024 ms 9812 KB Time limit exceeded
82 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 -