oj.uz

Submission #619820

# Submission time Handle Problem Language Result Execution time Memory
619820 2022-08-02T16:12:52 Z slime Uplifting Excursion (BOI22_vault) C++14
30 / 100
 5000 ms 150224 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;
  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:224:17: 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]
  224 |   for(int x=0; x<resout.size(); x++) {
      |                ~^~~~~~~~~~~~~~
vault.cpp:225:33: 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]
  225 |     if(resout[x] != -1 && A + x < resin.size() && resin[A + x] != -1) {
      |                           ~~~~~~^~~~~~~~~~~~~~
vault.cpp:223:7: warning: variable 'id' set but not used [-Wunused-but-set-variable]
  223 |   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 8 ms 7296 KB Output is correct
2 Correct 13 ms 7508 KB Output is correct
3 Correct 8 ms 7252 KB Output is correct
4 Correct 15 ms 7548 KB Output is correct
5 Correct 24 ms 7676 KB Output is correct
6 Correct 13 ms 7492 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 8 ms 7380 KB Output is correct
9 Correct 8 ms 7380 KB Output is correct
10 Correct 10 ms 7432 KB Output is correct

Subtask #3-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7296 KB Output is correct
2 Correct 13 ms 7508 KB Output is correct
3 Correct 8 ms 7252 KB Output is correct
4 Correct 15 ms 7548 KB Output is correct
5 Correct 24 ms 7676 KB Output is correct
6 Correct 13 ms 7492 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 8 ms 7380 KB Output is correct
9 Correct 8 ms 7380 KB Output is correct
10 Correct 10 ms 7432 KB Output is correct
11 Incorrect 8 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 8 ms 7296 KB Output is correct
2 Correct 13 ms 7508 KB Output is correct
3 Correct 8 ms 7252 KB Output is correct
4 Correct 15 ms 7548 KB Output is correct
5 Correct 24 ms 7676 KB Output is correct
6 Correct 13 ms 7492 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 8 ms 7380 KB Output is correct
9 Correct 8 ms 7380 KB Output is correct
10 Correct 10 ms 7432 KB Output is correct
11 Correct 8 ms 7252 KB Output is correct
12 Correct 14 ms 7508 KB Output is correct
13 Correct 7 ms 7380 KB Output is correct
14 Correct 15 ms 7556 KB Output is correct
15 Correct 20 ms 7764 KB Output is correct
16 Correct 13 ms 7488 KB Output is correct
17 Correct 7 ms 7380 KB Output is correct
18 Correct 8 ms 7372 KB Output is correct
19 Correct 8 ms 7380 KB Output is correct
20 Correct 11 ms 7512 KB Output is correct
21 Correct 8 ms 7380 KB Output is correct
22 Correct 9 ms 7380 KB Output is correct
23 Correct 91 ms 8640 KB Output is correct
24 Correct 8 ms 7300 KB Output is correct
25 Correct 89 ms 8636 KB Output is correct
26 Correct 119 ms 8896 KB Output is correct
27 Correct 118 ms 8756 KB Output is correct
28 Correct 58 ms 8160 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 8 ms 7296 KB Output is correct
2 Correct 13 ms 7508 KB Output is correct
3 Correct 8 ms 7252 KB Output is correct
4 Correct 15 ms 7548 KB Output is correct
5 Correct 24 ms 7676 KB Output is correct
6 Correct 13 ms 7492 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 8 ms 7380 KB Output is correct
9 Correct 8 ms 7380 KB Output is correct
10 Correct 10 ms 7432 KB Output is correct
11 Correct 8 ms 7252 KB Output is correct
12 Correct 14 ms 7508 KB Output is correct
13 Correct 7 ms 7380 KB Output is correct
14 Correct 15 ms 7556 KB Output is correct
15 Correct 20 ms 7764 KB Output is correct
16 Correct 13 ms 7488 KB Output is correct
17 Correct 7 ms 7380 KB Output is correct
18 Correct 8 ms 7372 KB Output is correct
19 Correct 8 ms 7380 KB Output is correct
20 Correct 11 ms 7512 KB Output is correct
21 Correct 8 ms 7380 KB Output is correct
22 Correct 9 ms 7380 KB Output is correct
23 Correct 91 ms 8640 KB Output is correct
24 Correct 8 ms 7300 KB Output is correct
25 Correct 89 ms 8636 KB Output is correct
26 Correct 119 ms 8896 KB Output is correct
27 Correct 118 ms 8756 KB Output is correct
28 Correct 58 ms 8160 KB Output is correct
29 Correct 8 ms 7252 KB Output is correct
30 Correct 18 ms 7500 KB Output is correct
31 Correct 8 ms 7252 KB Output is correct
32 Correct 13 ms 7636 KB Output is correct
33 Correct 27 ms 7756 KB Output is correct
34 Correct 12 ms 7592 KB Output is correct
35 Correct 8 ms 7380 KB Output is correct
36 Correct 8 ms 7380 KB Output is correct
37 Correct 9 ms 7380 KB Output is correct
38 Correct 13 ms 7508 KB Output is correct
39 Correct 8 ms 7400 KB Output is correct
40 Correct 8 ms 7372 KB Output is correct
41 Correct 94 ms 8628 KB Output is correct
42 Correct 8 ms 7364 KB Output is correct
43 Correct 100 ms 8624 KB Output is correct
44 Correct 123 ms 8888 KB Output is correct
45 Correct 131 ms 8756 KB Output is correct
46 Correct 54 ms 8144 KB Output is correct
47 Correct 10 ms 7764 KB Output is correct
48 Correct 11 ms 7768 KB Output is correct
49 Correct 3022 ms 16648 KB Output is correct
50 Correct 7 ms 7380 KB Output is correct
51 Correct 1811 ms 15040 KB Output is correct
52 Correct 3376 ms 18280 KB Output is correct
53 Correct 2801 ms 16692 KB Output is correct
54 Correct 1559 ms 12804 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 8 ms 7296 KB Output is correct
2 Correct 13 ms 7508 KB Output is correct
3 Correct 8 ms 7252 KB Output is correct
4 Correct 15 ms 7548 KB Output is correct
5 Correct 24 ms 7676 KB Output is correct
6 Correct 13 ms 7492 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 8 ms 7380 KB Output is correct
9 Correct 8 ms 7380 KB Output is correct
10 Correct 10 ms 7432 KB Output is correct
11 Correct 8 ms 7252 KB Output is correct
12 Correct 14 ms 7508 KB Output is correct
13 Correct 7 ms 7380 KB Output is correct
14 Correct 15 ms 7556 KB Output is correct
15 Correct 20 ms 7764 KB Output is correct
16 Correct 13 ms 7488 KB Output is correct
17 Correct 7 ms 7380 KB Output is correct
18 Correct 8 ms 7372 KB Output is correct
19 Correct 8 ms 7380 KB Output is correct
20 Correct 11 ms 7512 KB Output is correct
21 Correct 8 ms 7380 KB Output is correct
22 Correct 9 ms 7380 KB Output is correct
23 Correct 91 ms 8640 KB Output is correct
24 Correct 8 ms 7300 KB Output is correct
25 Correct 89 ms 8636 KB Output is correct
26 Correct 119 ms 8896 KB Output is correct
27 Correct 118 ms 8756 KB Output is correct
28 Correct 58 ms 8160 KB Output is correct
29 Correct 8 ms 7252 KB Output is correct
30 Correct 18 ms 7500 KB Output is correct
31 Correct 8 ms 7252 KB Output is correct
32 Correct 13 ms 7636 KB Output is correct
33 Correct 27 ms 7756 KB Output is correct
34 Correct 12 ms 7592 KB Output is correct
35 Correct 8 ms 7380 KB Output is correct
36 Correct 8 ms 7380 KB Output is correct
37 Correct 9 ms 7380 KB Output is correct
38 Correct 13 ms 7508 KB Output is correct
39 Correct 8 ms 7400 KB Output is correct
40 Correct 8 ms 7372 KB Output is correct
41 Correct 94 ms 8628 KB Output is correct
42 Correct 8 ms 7364 KB Output is correct
43 Correct 100 ms 8624 KB Output is correct
44 Correct 123 ms 8888 KB Output is correct
45 Correct 131 ms 8756 KB Output is correct
46 Correct 54 ms 8144 KB Output is correct
47 Correct 10 ms 7764 KB Output is correct
48 Correct 11 ms 7768 KB Output is correct
49 Correct 3022 ms 16648 KB Output is correct
50 Correct 7 ms 7380 KB Output is correct
51 Correct 1811 ms 15040 KB Output is correct
52 Correct 3376 ms 18280 KB Output is correct
53 Correct 2801 ms 16692 KB Output is correct
54 Correct 1559 ms 12804 KB Output is correct
55 Correct 7 ms 7252 KB Output is correct
56 Correct 17 ms 7500 KB Output is correct
57 Correct 8 ms 7324 KB Output is correct
58 Correct 13 ms 7600 KB Output is correct
59 Correct 20 ms 7672 KB Output is correct
60 Correct 14 ms 7596 KB Output is correct
61 Correct 8 ms 7380 KB Output is correct
62 Correct 9 ms 7380 KB Output is correct
63 Correct 9 ms 7380 KB Output is correct
64 Correct 10 ms 7476 KB Output is correct
65 Correct 9 ms 7372 KB Output is correct
66 Correct 8 ms 7380 KB Output is correct
67 Correct 95 ms 8632 KB Output is correct
68 Correct 9 ms 7380 KB Output is correct
69 Correct 118 ms 8620 KB Output is correct
70 Correct 122 ms 8896 KB Output is correct
71 Correct 118 ms 8752 KB Output is correct
72 Correct 54 ms 8140 KB Output is correct
73 Correct 11 ms 7852 KB Output is correct
74 Correct 10 ms 7820 KB Output is correct
75 Correct 2967 ms 16648 KB Output is correct
76 Correct 8 ms 7380 KB Output is correct
77 Correct 1851 ms 15032 KB Output is correct
78 Correct 3386 ms 18284 KB Output is correct
79 Correct 2888 ms 16688 KB Output is correct
80 Correct 1519 ms 12796 KB Output is correct
81 Execution timed out 5054 ms 150224 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 -