oj.uz

Submission #620101

# Submission time Handle Problem Language Result Execution time Memory
620101 2022-08-02T23:15:32 Z slime Uplifting Excursion (BOI22_vault) C++14
30 / 100
 5000 ms 150220 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, 3 * m);
  //outsum = min(outsum, 3 * 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 7 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 7 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 7308 KB Output is correct
2 Correct 16 ms 7552 KB Output is correct
3 Correct 7 ms 7252 KB Output is correct
4 Correct 13 ms 7556 KB Output is correct
5 Correct 21 ms 7628 KB Output is correct
6 Correct 12 ms 7508 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 8 ms 7388 KB Output is correct
10 Correct 10 ms 7528 KB Output is correct

Subtask #3-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7308 KB Output is correct
2 Correct 16 ms 7552 KB Output is correct
3 Correct 7 ms 7252 KB Output is correct
4 Correct 13 ms 7556 KB Output is correct
5 Correct 21 ms 7628 KB Output is correct
6 Correct 12 ms 7508 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 8 ms 7388 KB Output is correct
10 Correct 10 ms 7528 KB Output is correct
11 Incorrect 8 ms 7292 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 7308 KB Output is correct
2 Correct 16 ms 7552 KB Output is correct
3 Correct 7 ms 7252 KB Output is correct
4 Correct 13 ms 7556 KB Output is correct
5 Correct 21 ms 7628 KB Output is correct
6 Correct 12 ms 7508 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 8 ms 7388 KB Output is correct
10 Correct 10 ms 7528 KB Output is correct
11 Correct 9 ms 7252 KB Output is correct
12 Correct 15 ms 7508 KB Output is correct
13 Correct 8 ms 7252 KB Output is correct
14 Correct 13 ms 7624 KB Output is correct
15 Correct 21 ms 7704 KB Output is correct
16 Correct 12 ms 7492 KB Output is correct
17 Correct 7 ms 7436 KB Output is correct
18 Correct 8 ms 7392 KB Output is correct
19 Correct 9 ms 7508 KB Output is correct
20 Correct 10 ms 7508 KB Output is correct
21 Correct 8 ms 7380 KB Output is correct
22 Correct 10 ms 7440 KB Output is correct
23 Correct 90 ms 8556 KB Output is correct
24 Correct 8 ms 7380 KB Output is correct
25 Correct 90 ms 8636 KB Output is correct
26 Correct 113 ms 8888 KB Output is correct
27 Correct 122 ms 8756 KB Output is correct
28 Correct 56 ms 8152 KB Output is correct

Subtask #4-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 7 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 7308 KB Output is correct
2 Correct 16 ms 7552 KB Output is correct
3 Correct 7 ms 7252 KB Output is correct
4 Correct 13 ms 7556 KB Output is correct
5 Correct 21 ms 7628 KB Output is correct
6 Correct 12 ms 7508 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 8 ms 7388 KB Output is correct
10 Correct 10 ms 7528 KB Output is correct
11 Correct 9 ms 7252 KB Output is correct
12 Correct 15 ms 7508 KB Output is correct
13 Correct 8 ms 7252 KB Output is correct
14 Correct 13 ms 7624 KB Output is correct
15 Correct 21 ms 7704 KB Output is correct
16 Correct 12 ms 7492 KB Output is correct
17 Correct 7 ms 7436 KB Output is correct
18 Correct 8 ms 7392 KB Output is correct
19 Correct 9 ms 7508 KB Output is correct
20 Correct 10 ms 7508 KB Output is correct
21 Correct 8 ms 7380 KB Output is correct
22 Correct 10 ms 7440 KB Output is correct
23 Correct 90 ms 8556 KB Output is correct
24 Correct 8 ms 7380 KB Output is correct
25 Correct 90 ms 8636 KB Output is correct
26 Correct 113 ms 8888 KB Output is correct
27 Correct 122 ms 8756 KB Output is correct
28 Correct 56 ms 8152 KB Output is correct
29 Correct 7 ms 7252 KB Output is correct
30 Correct 17 ms 7508 KB Output is correct
31 Correct 8 ms 7252 KB Output is correct
32 Correct 13 ms 7548 KB Output is correct
33 Correct 19 ms 7676 KB Output is correct
34 Correct 14 ms 7508 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 7380 KB Output is correct
38 Correct 10 ms 7508 KB Output is correct
39 Correct 8 ms 7380 KB Output is correct
40 Correct 8 ms 7380 KB Output is correct
41 Correct 96 ms 8636 KB Output is correct
42 Correct 8 ms 7272 KB Output is correct
43 Correct 98 ms 8636 KB Output is correct
44 Correct 110 ms 8780 KB Output is correct
45 Correct 126 ms 8760 KB Output is correct
46 Correct 60 ms 8148 KB Output is correct
47 Correct 12 ms 7764 KB Output is correct
48 Correct 10 ms 7728 KB Output is correct
49 Correct 2957 ms 16628 KB Output is correct
50 Correct 7 ms 7372 KB Output is correct
51 Correct 1763 ms 15028 KB Output is correct
52 Correct 3264 ms 18284 KB Output is correct
53 Correct 2662 ms 16692 KB Output is correct
54 Correct 1419 ms 12808 KB Output is correct

Subtask #5-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 7 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 7308 KB Output is correct
2 Correct 16 ms 7552 KB Output is correct
3 Correct 7 ms 7252 KB Output is correct
4 Correct 13 ms 7556 KB Output is correct
5 Correct 21 ms 7628 KB Output is correct
6 Correct 12 ms 7508 KB Output is correct
7 Correct 8 ms 7380 KB Output is correct
8 Correct 9 ms 7380 KB Output is correct
9 Correct 8 ms 7388 KB Output is correct
10 Correct 10 ms 7528 KB Output is correct
11 Correct 9 ms 7252 KB Output is correct
12 Correct 15 ms 7508 KB Output is correct
13 Correct 8 ms 7252 KB Output is correct
14 Correct 13 ms 7624 KB Output is correct
15 Correct 21 ms 7704 KB Output is correct
16 Correct 12 ms 7492 KB Output is correct
17 Correct 7 ms 7436 KB Output is correct
18 Correct 8 ms 7392 KB Output is correct
19 Correct 9 ms 7508 KB Output is correct
20 Correct 10 ms 7508 KB Output is correct
21 Correct 8 ms 7380 KB Output is correct
22 Correct 10 ms 7440 KB Output is correct
23 Correct 90 ms 8556 KB Output is correct
24 Correct 8 ms 7380 KB Output is correct
25 Correct 90 ms 8636 KB Output is correct
26 Correct 113 ms 8888 KB Output is correct
27 Correct 122 ms 8756 KB Output is correct
28 Correct 56 ms 8152 KB Output is correct
29 Correct 7 ms 7252 KB Output is correct
30 Correct 17 ms 7508 KB Output is correct
31 Correct 8 ms 7252 KB Output is correct
32 Correct 13 ms 7548 KB Output is correct
33 Correct 19 ms 7676 KB Output is correct
34 Correct 14 ms 7508 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 7380 KB Output is correct
38 Correct 10 ms 7508 KB Output is correct
39 Correct 8 ms 7380 KB Output is correct
40 Correct 8 ms 7380 KB Output is correct
41 Correct 96 ms 8636 KB Output is correct
42 Correct 8 ms 7272 KB Output is correct
43 Correct 98 ms 8636 KB Output is correct
44 Correct 110 ms 8780 KB Output is correct
45 Correct 126 ms 8760 KB Output is correct
46 Correct 60 ms 8148 KB Output is correct
47 Correct 12 ms 7764 KB Output is correct
48 Correct 10 ms 7728 KB Output is correct
49 Correct 2957 ms 16628 KB Output is correct
50 Correct 7 ms 7372 KB Output is correct
51 Correct 1763 ms 15028 KB Output is correct
52 Correct 3264 ms 18284 KB Output is correct
53 Correct 2662 ms 16692 KB Output is correct
54 Correct 1419 ms 12808 KB Output is correct
55 Correct 7 ms 7252 KB Output is correct
56 Correct 14 ms 7508 KB Output is correct
57 Correct 8 ms 7324 KB Output is correct
58 Correct 15 ms 7628 KB Output is correct
59 Correct 19 ms 7672 KB Output is correct
60 Correct 12 ms 7508 KB Output is correct
61 Correct 8 ms 7380 KB Output is correct
62 Correct 8 ms 7368 KB Output is correct
63 Correct 9 ms 7360 KB Output is correct
64 Correct 10 ms 7508 KB Output is correct
65 Correct 8 ms 7380 KB Output is correct
66 Correct 8 ms 7352 KB Output is correct
67 Correct 89 ms 8636 KB Output is correct
68 Correct 7 ms 7300 KB Output is correct
69 Correct 99 ms 8524 KB Output is correct
70 Correct 111 ms 8804 KB Output is correct
71 Correct 111 ms 8648 KB Output is correct
72 Correct 55 ms 8140 KB Output is correct
73 Correct 11 ms 7764 KB Output is correct
74 Correct 10 ms 7764 KB Output is correct
75 Correct 2918 ms 16648 KB Output is correct
76 Correct 9 ms 7380 KB Output is correct
77 Correct 1768 ms 15028 KB Output is correct
78 Correct 3256 ms 18288 KB Output is correct
79 Correct 2639 ms 16688 KB Output is correct
80 Correct 1443 ms 12796 KB Output is correct
81 Execution timed out 5103 ms 150220 KB Time limit exceeded
82 Halted 0 ms 0 KB -

Subtask #6-2
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 7 ms 7252 KB Output isn't correct
2 Halted 0 ms 0 KB -