#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;
}
void solve(int tc) {
int n, k;
cin >> n >> k;
int a[n+1], b[n+1];
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;
}
double ans = 1e18;
for(int bcnt = 0; bcnt <= k; 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] = 1e18;
}
}
}
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]);
}
}
}
ans = min(ans, dp[k-bcnt][bcnt][n]);
}
cout << fixed << setprecision(10) << 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.
/*
8
7
3 15
19 40
11 62
7 72
16 27
33 53
14 50
17 24
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
7252 KB |
Output is correct |
2 |
Correct |
9 ms |
7272 KB |
Output is correct |
3 |
Correct |
8 ms |
7312 KB |
Output is correct |
4 |
Correct |
7 ms |
7252 KB |
Output is correct |
5 |
Correct |
48 ms |
9944 KB |
Output is correct |
6 |
Correct |
662 ms |
23168 KB |
Output is correct |
7 |
Execution timed out |
2596 ms |
69464 KB |
Time limit exceeded |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
7252 KB |
Output is correct |
2 |
Correct |
9 ms |
7272 KB |
Output is correct |
3 |
Correct |
8 ms |
7312 KB |
Output is correct |
4 |
Correct |
7 ms |
7252 KB |
Output is correct |
5 |
Correct |
48 ms |
9944 KB |
Output is correct |
6 |
Correct |
662 ms |
23168 KB |
Output is correct |
7 |
Execution timed out |
2596 ms |
69464 KB |
Time limit exceeded |
8 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
7252 KB |
Output is correct |
2 |
Correct |
8 ms |
7252 KB |
Output is correct |
3 |
Correct |
8 ms |
7252 KB |
Output is correct |
4 |
Correct |
7 ms |
7252 KB |
Output is correct |
5 |
Correct |
7 ms |
7252 KB |
Output is correct |
6 |
Correct |
9 ms |
7340 KB |
Output is correct |
7 |
Correct |
7 ms |
7252 KB |
Output is correct |
8 |
Correct |
7 ms |
7252 KB |
Output is correct |
9 |
Correct |
7 ms |
7264 KB |
Output is correct |
10 |
Correct |
7 ms |
7296 KB |
Output is correct |
11 |
Correct |
7 ms |
7252 KB |
Output is correct |
12 |
Correct |
7 ms |
7380 KB |
Output is correct |
13 |
Correct |
7 ms |
7252 KB |
Output is correct |
14 |
Correct |
7 ms |
7328 KB |
Output is correct |
15 |
Correct |
7 ms |
7252 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
7252 KB |
Output is correct |
2 |
Correct |
8 ms |
7252 KB |
Output is correct |
3 |
Correct |
8 ms |
7252 KB |
Output is correct |
4 |
Correct |
7 ms |
7252 KB |
Output is correct |
5 |
Correct |
7 ms |
7252 KB |
Output is correct |
6 |
Correct |
9 ms |
7340 KB |
Output is correct |
7 |
Correct |
7 ms |
7252 KB |
Output is correct |
8 |
Correct |
7 ms |
7252 KB |
Output is correct |
9 |
Correct |
7 ms |
7264 KB |
Output is correct |
10 |
Correct |
7 ms |
7296 KB |
Output is correct |
11 |
Correct |
7 ms |
7252 KB |
Output is correct |
12 |
Correct |
7 ms |
7380 KB |
Output is correct |
13 |
Correct |
7 ms |
7252 KB |
Output is correct |
14 |
Correct |
7 ms |
7328 KB |
Output is correct |
15 |
Correct |
7 ms |
7252 KB |
Output is correct |
16 |
Correct |
7 ms |
7252 KB |
Output is correct |
17 |
Correct |
8 ms |
7252 KB |
Output is correct |
18 |
Correct |
9 ms |
7248 KB |
Output is correct |
19 |
Correct |
8 ms |
7360 KB |
Output is correct |
20 |
Correct |
8 ms |
7252 KB |
Output is correct |
21 |
Correct |
8 ms |
7252 KB |
Output is correct |
22 |
Correct |
10 ms |
7252 KB |
Output is correct |
23 |
Correct |
7 ms |
7252 KB |
Output is correct |
24 |
Correct |
8 ms |
7252 KB |
Output is correct |
25 |
Correct |
7 ms |
7380 KB |
Output is correct |
26 |
Correct |
9 ms |
7364 KB |
Output is correct |
27 |
Correct |
8 ms |
7380 KB |
Output is correct |
28 |
Correct |
9 ms |
7352 KB |
Output is correct |
29 |
Correct |
7 ms |
7252 KB |
Output is correct |
30 |
Correct |
7 ms |
7252 KB |
Output is correct |
31 |
Correct |
7 ms |
7252 KB |
Output is correct |
32 |
Correct |
8 ms |
7252 KB |
Output is correct |
33 |
Correct |
8 ms |
7256 KB |
Output is correct |
34 |
Correct |
7 ms |
7312 KB |
Output is correct |
35 |
Correct |
7 ms |
7264 KB |
Output is correct |
36 |
Correct |
7 ms |
7380 KB |
Output is correct |
37 |
Correct |
7 ms |
7320 KB |
Output is correct |
38 |
Correct |
8 ms |
7280 KB |
Output is correct |
39 |
Correct |
8 ms |
7252 KB |
Output is correct |
40 |
Correct |
8 ms |
7252 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
7252 KB |
Output is correct |
2 |
Correct |
8 ms |
7252 KB |
Output is correct |
3 |
Correct |
8 ms |
7252 KB |
Output is correct |
4 |
Correct |
7 ms |
7252 KB |
Output is correct |
5 |
Correct |
7 ms |
7252 KB |
Output is correct |
6 |
Correct |
9 ms |
7340 KB |
Output is correct |
7 |
Correct |
7 ms |
7252 KB |
Output is correct |
8 |
Correct |
7 ms |
7252 KB |
Output is correct |
9 |
Correct |
7 ms |
7264 KB |
Output is correct |
10 |
Correct |
7 ms |
7296 KB |
Output is correct |
11 |
Correct |
7 ms |
7252 KB |
Output is correct |
12 |
Correct |
7 ms |
7380 KB |
Output is correct |
13 |
Correct |
7 ms |
7252 KB |
Output is correct |
14 |
Correct |
7 ms |
7328 KB |
Output is correct |
15 |
Correct |
7 ms |
7252 KB |
Output is correct |
16 |
Correct |
7 ms |
7252 KB |
Output is correct |
17 |
Correct |
8 ms |
7252 KB |
Output is correct |
18 |
Correct |
9 ms |
7248 KB |
Output is correct |
19 |
Correct |
8 ms |
7360 KB |
Output is correct |
20 |
Correct |
8 ms |
7252 KB |
Output is correct |
21 |
Correct |
8 ms |
7252 KB |
Output is correct |
22 |
Correct |
10 ms |
7252 KB |
Output is correct |
23 |
Correct |
7 ms |
7252 KB |
Output is correct |
24 |
Correct |
8 ms |
7252 KB |
Output is correct |
25 |
Correct |
7 ms |
7380 KB |
Output is correct |
26 |
Correct |
9 ms |
7364 KB |
Output is correct |
27 |
Correct |
8 ms |
7380 KB |
Output is correct |
28 |
Correct |
9 ms |
7352 KB |
Output is correct |
29 |
Correct |
7 ms |
7252 KB |
Output is correct |
30 |
Correct |
7 ms |
7252 KB |
Output is correct |
31 |
Correct |
7 ms |
7252 KB |
Output is correct |
32 |
Correct |
8 ms |
7252 KB |
Output is correct |
33 |
Correct |
8 ms |
7256 KB |
Output is correct |
34 |
Correct |
7 ms |
7312 KB |
Output is correct |
35 |
Correct |
7 ms |
7264 KB |
Output is correct |
36 |
Correct |
7 ms |
7380 KB |
Output is correct |
37 |
Correct |
7 ms |
7320 KB |
Output is correct |
38 |
Correct |
8 ms |
7280 KB |
Output is correct |
39 |
Correct |
8 ms |
7252 KB |
Output is correct |
40 |
Correct |
8 ms |
7252 KB |
Output is correct |
41 |
Correct |
8 ms |
7380 KB |
Output is correct |
42 |
Correct |
8 ms |
7380 KB |
Output is correct |
43 |
Correct |
9 ms |
7508 KB |
Output is correct |
44 |
Correct |
11 ms |
7464 KB |
Output is correct |
45 |
Correct |
17 ms |
7892 KB |
Output is correct |
46 |
Correct |
16 ms |
7892 KB |
Output is correct |
47 |
Correct |
29 ms |
8168 KB |
Output is correct |
48 |
Correct |
28 ms |
8208 KB |
Output is correct |
49 |
Correct |
46 ms |
8672 KB |
Output is correct |
50 |
Correct |
48 ms |
8680 KB |
Output is correct |
51 |
Correct |
84 ms |
9292 KB |
Output is correct |
52 |
Correct |
81 ms |
9404 KB |
Output is correct |
53 |
Correct |
31 ms |
8212 KB |
Output is correct |
54 |
Correct |
30 ms |
8232 KB |
Output is correct |
55 |
Correct |
28 ms |
8144 KB |
Output is correct |
56 |
Correct |
29 ms |
8252 KB |
Output is correct |
57 |
Correct |
28 ms |
8256 KB |
Output is correct |
58 |
Correct |
28 ms |
8148 KB |
Output is correct |
59 |
Correct |
30 ms |
8148 KB |
Output is correct |
60 |
Correct |
30 ms |
8148 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
2586 ms |
125836 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
7252 KB |
Output is correct |
2 |
Correct |
9 ms |
7272 KB |
Output is correct |
3 |
Correct |
8 ms |
7312 KB |
Output is correct |
4 |
Correct |
7 ms |
7252 KB |
Output is correct |
5 |
Correct |
48 ms |
9944 KB |
Output is correct |
6 |
Correct |
662 ms |
23168 KB |
Output is correct |
7 |
Execution timed out |
2596 ms |
69464 KB |
Time limit exceeded |
8 |
Halted |
0 ms |
0 KB |
- |