oj.uz

Submission #624254

# Submission time Handle Problem Language Result Execution time Memory
624254 2022-08-07T14:58:47 Z slime Let's Win the Election (JOI22_ho_t3) C++14
61 / 100
 2500 ms 254440 KB 
#include "bits/stdc++.h"
using namespace std;
//#define int long long
const int MAXN = 3e5 + 10;
const int MOD = 998244353;
#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 google(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;
}
bool cmp(pair<int, int> x, pair<int, int> y) {
  return x.second < y.second;
}
int n, k, a[MAXN], b[MAXN];
double fun(int bcnt) {
  double dp[k - bcnt + 1][bcnt + 1][n + 1]; // type A, type B, prefix
  for(int i=0; i<=k-bcnt; i++) {
    for(int j=0; j<=bcnt; j++) {
      for(int l=0; l<=n; l++) {
        dp[i][j][l] = 1e9;
      }
    }
  }
  for(int i=0; i<=n; i++) dp[0][0][i] = 0;
  for(int i=0; i<=k-bcnt; i++) {
    for(int j=0; j<=bcnt; j++) {
      if(i == 0 && j == 0) continue;
      for(int l=1; l<=n; l++) {
        // register as type A
        if(i > 0) dp[i][j][l] = dp[i-1][j][l-1] + a[l] * 1.0 / (bcnt + 1);
        // register as type B
        if(j > 0 && b[l] != 1226) dp[i][j][l] = min(dp[i][j][l], dp[i][j-1][l-1] + b[l] * 1.0 / j);
        // register as neither
        dp[i][j][l] = min(dp[i][j][l], dp[i][j][l-1]);
      }
    }
  }
  return dp[k-bcnt][bcnt][n];
}
void solve(int tc) {
  cin >> n >> k;
  pair<int, int> p[n+1];
  for(int i=1; i<=n; i++) {
    cin >> p[i].first >> p[i].second;
    if(p[i].second == -1) p[i].second = 1226;
  }
  sort(p+1, p+n+1, cmp);
  for(int i=1; i<=n; i++) {
    a[i] = p[i].first, b[i] = p[i].second;
  }
  int lb = 0, rb = k;
  while(lb < rb) {
    int mid = (lb + rb) >> 1;
    if(fun(mid) > fun(mid+1)) lb = mid+1;
    else rb = mid;
  }
  cout << fixed << setprecision(10) << fun(lb) << "\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.
 
/*
8
7
3 15
19 40
11 62
7 72
16 27
33 53
14 50
17 24
*/

Compilation message

Main.cpp: In function 'int lis(std::vector<int>)':
Main.cpp:54:39: warning: overflow in conversion from 'double' to 'int' changes value from '1.0e+18' to '2147483647' [-Woverflow]
   54 |   for(int i=1; i<=n; i++) bucket[i] = 1e18;
      |                                       ^~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7380 KB Output is correct
2 Correct 8 ms 7380 KB Output is correct
3 Correct 8 ms 7380 KB Output is correct
4 Correct 7 ms 7252 KB Output is correct
5 Correct 15 ms 10036 KB Output is correct
6 Correct 54 ms 23172 KB Output is correct
7 Correct 205 ms 69636 KB Output is correct
8 Correct 445 ms 146716 KB Output is correct
9 Correct 773 ms 254432 KB Output is correct
10 Correct 388 ms 128808 KB Output is correct

Subtask #2
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7380 KB Output is correct
2 Correct 8 ms 7380 KB Output is correct
3 Correct 8 ms 7380 KB Output is correct
4 Correct 7 ms 7252 KB Output is correct
5 Correct 15 ms 10036 KB Output is correct
6 Correct 54 ms 23172 KB Output is correct
7 Correct 205 ms 69636 KB Output is correct
8 Correct 445 ms 146716 KB Output is correct
9 Correct 773 ms 254432 KB Output is correct
10 Correct 388 ms 128808 KB Output is correct
11 Correct 8 ms 7380 KB Output is correct
12 Correct 93 ms 30016 KB Output is correct
13 Correct 187 ms 30012 KB Output is correct
14 Correct 196 ms 30016 KB Output is correct
15 Correct 418 ms 128844 KB Output is correct
16 Correct 1204 ms 128976 KB Output is correct
17 Correct 959 ms 128908 KB Output is correct
18 Correct 877 ms 254436 KB Output is correct
19 Execution timed out 2554 ms 254440 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7380 KB Output is correct
2 Correct 9 ms 7380 KB Output is correct
3 Correct 7 ms 7380 KB Output is correct
4 Correct 7 ms 7380 KB Output is correct
5 Correct 7 ms 7252 KB Output is correct
6 Correct 8 ms 7332 KB Output is correct
7 Correct 7 ms 7380 KB Output is correct
8 Correct 7 ms 7380 KB Output is correct
9 Correct 7 ms 7324 KB Output is correct
10 Correct 7 ms 7252 KB Output is correct
11 Correct 8 ms 7520 KB Output is correct
12 Correct 7 ms 7380 KB Output is correct
13 Correct 7 ms 7300 KB Output is correct
14 Correct 8 ms 7380 KB Output is correct
15 Correct 7 ms 7252 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7380 KB Output is correct
2 Correct 9 ms 7380 KB Output is correct
3 Correct 7 ms 7380 KB Output is correct
4 Correct 7 ms 7380 KB Output is correct
5 Correct 7 ms 7252 KB Output is correct
6 Correct 8 ms 7332 KB Output is correct
7 Correct 7 ms 7380 KB Output is correct
8 Correct 7 ms 7380 KB Output is correct
9 Correct 7 ms 7324 KB Output is correct
10 Correct 7 ms 7252 KB Output is correct
11 Correct 8 ms 7520 KB Output is correct
12 Correct 7 ms 7380 KB Output is correct
13 Correct 7 ms 7300 KB Output is correct
14 Correct 8 ms 7380 KB Output is correct
15 Correct 7 ms 7252 KB Output is correct
16 Correct 7 ms 7328 KB Output is correct
17 Correct 7 ms 7296 KB Output is correct
18 Correct 9 ms 7380 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 7380 KB Output is correct
22 Correct 8 ms 7380 KB Output is correct
23 Correct 8 ms 7380 KB Output is correct
24 Correct 7 ms 7372 KB Output is correct
25 Correct 8 ms 7380 KB Output is correct
26 Correct 7 ms 7328 KB Output is correct
27 Correct 7 ms 7380 KB Output is correct
28 Correct 7 ms 7380 KB Output is correct
29 Correct 7 ms 7380 KB Output is correct
30 Correct 7 ms 7380 KB Output is correct
31 Correct 7 ms 7352 KB Output is correct
32 Correct 7 ms 7276 KB Output is correct
33 Correct 9 ms 7332 KB Output is correct
34 Correct 9 ms 7380 KB Output is correct
35 Correct 7 ms 7376 KB Output is correct
36 Correct 8 ms 7380 KB Output is correct
37 Correct 8 ms 7380 KB Output is correct
38 Correct 7 ms 7380 KB Output is correct
39 Correct 7 ms 7380 KB Output is correct
40 Correct 7 ms 7380 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 7380 KB Output is correct
2 Correct 9 ms 7380 KB Output is correct
3 Correct 7 ms 7380 KB Output is correct
4 Correct 7 ms 7380 KB Output is correct
5 Correct 7 ms 7252 KB Output is correct
6 Correct 8 ms 7332 KB Output is correct
7 Correct 7 ms 7380 KB Output is correct
8 Correct 7 ms 7380 KB Output is correct
9 Correct 7 ms 7324 KB Output is correct
10 Correct 7 ms 7252 KB Output is correct
11 Correct 8 ms 7520 KB Output is correct
12 Correct 7 ms 7380 KB Output is correct
13 Correct 7 ms 7300 KB Output is correct
14 Correct 8 ms 7380 KB Output is correct
15 Correct 7 ms 7252 KB Output is correct
16 Correct 7 ms 7328 KB Output is correct
17 Correct 7 ms 7296 KB Output is correct
18 Correct 9 ms 7380 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 7380 KB Output is correct
22 Correct 8 ms 7380 KB Output is correct
23 Correct 8 ms 7380 KB Output is correct
24 Correct 7 ms 7372 KB Output is correct
25 Correct 8 ms 7380 KB Output is correct
26 Correct 7 ms 7328 KB Output is correct
27 Correct 7 ms 7380 KB Output is correct
28 Correct 7 ms 7380 KB Output is correct
29 Correct 7 ms 7380 KB Output is correct
30 Correct 7 ms 7380 KB Output is correct
31 Correct 7 ms 7352 KB Output is correct
32 Correct 7 ms 7276 KB Output is correct
33 Correct 9 ms 7332 KB Output is correct
34 Correct 9 ms 7380 KB Output is correct
35 Correct 7 ms 7376 KB Output is correct
36 Correct 8 ms 7380 KB Output is correct
37 Correct 8 ms 7380 KB Output is correct
38 Correct 7 ms 7380 KB Output is correct
39 Correct 7 ms 7380 KB Output is correct
40 Correct 7 ms 7380 KB Output is correct
41 Correct 7 ms 7380 KB Output is correct
42 Correct 8 ms 7380 KB Output is correct
43 Correct 8 ms 7508 KB Output is correct
44 Correct 9 ms 7544 KB Output is correct
45 Correct 10 ms 7892 KB Output is correct
46 Correct 11 ms 7836 KB Output is correct
47 Correct 14 ms 8148 KB Output is correct
48 Correct 13 ms 8148 KB Output is correct
49 Correct 16 ms 8660 KB Output is correct
50 Correct 18 ms 8700 KB Output is correct
51 Correct 24 ms 9436 KB Output is correct
52 Correct 21 ms 9428 KB Output is correct
53 Correct 12 ms 8148 KB Output is correct
54 Correct 14 ms 8148 KB Output is correct
55 Correct 12 ms 8212 KB Output is correct
56 Correct 13 ms 8156 KB Output is correct
57 Correct 13 ms 8260 KB Output is correct
58 Correct 12 ms 8148 KB Output is correct
59 Correct 13 ms 8220 KB Output is correct
60 Correct 13 ms 8264 KB Output is correct

Subtask #6
0 / 11.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2588 ms 254348 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 7380 KB Output is correct
2 Correct 8 ms 7380 KB Output is correct
3 Correct 8 ms 7380 KB Output is correct
4 Correct 7 ms 7252 KB Output is correct
5 Correct 15 ms 10036 KB Output is correct
6 Correct 54 ms 23172 KB Output is correct
7 Correct 205 ms 69636 KB Output is correct
8 Correct 445 ms 146716 KB Output is correct
9 Correct 773 ms 254432 KB Output is correct
10 Correct 388 ms 128808 KB Output is correct
11 Correct 8 ms 7380 KB Output is correct
12 Correct 93 ms 30016 KB Output is correct
13 Correct 187 ms 30012 KB Output is correct
14 Correct 196 ms 30016 KB Output is correct
15 Correct 418 ms 128844 KB Output is correct
16 Correct 1204 ms 128976 KB Output is correct
17 Correct 959 ms 128908 KB Output is correct
18 Correct 877 ms 254436 KB Output is correct
19 Execution timed out 2554 ms 254440 KB Time limit exceeded
20 Halted 0 ms 0 KB -