#include<bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define mkp make_pair
#define PH push
#define PB push_back
#define REP(i,N) for( int i = 0; i < (N); ++i )
#define FOR(i,a,b) for( int i = (a); i <= (b); ++i )
#define ALL(x) begin(x), end(x)
#define MEM(x) memset(x, 0, sizeof(x))
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
template<typename T>
using V=vector<T>;
void solve() {
int N, K; cin >> N >> K;
V<pll> vc(N+1);
const ll INF = 1e18;
FOR(i,1,N) cin >> vc[i].F >> vc[i].S;
for( auto &i : vc ) if( i.S == -1 ) i.S = INF;
sort( vc.begin()+1, vc.end(), [&]( auto&a, auto&b) {
return a.S < b.S;
});
V<V<V<double>>> dp( 2, V<V<double>>( K+1, V<double>(K+1, 0) ));
//double dp[ N+1 ][ K+1 ][ K+1 ];
auto init = [&]() {
for( auto &i : dp ) for( auto &j : i ) for( auto &k : j )
k = INF;
dp[ 0 ][ 1 ][ 0 ] = 0;
dp[ 1 ][ 1 ][ 0 ] = 0;
};
auto do_dp = [&](int p) {
double ans=INF;
init();
for( int i = 1; i <= N; ++i ) {
for( int j = 1; j <= K; ++j ) {
for( int k = 1; k <= K; ++k ) {
dp[ i&1 ][ j ][ k ] = min({
( j == 1 ? INF : dp[~i&1][j-1][k-1]+(1.0*vc[i].S/(j-1)) ),
dp[~i&1][j][k-1] + (1.0*vc[i].F/p),
dp[~i&1][j][k]
});
}
}
}
//fprintf(stderr, "ans:(%.16lf), p(%d)\n", ans, p );
ans = min( dp[N&1][p][K], ans );
return ans;
};
int l = 1, r = K;
double ans = INF;
while( r-l > 4 ) {
int l1 = (l+l+r)/3, l2 = (l+r+r)/3;
double ans1 = do_dp(l1);
double ans2 = do_dp(l2);
ans = min( {ans,ans1,ans2} );
if( ans1 > ans2 )
l=l1;
else
r=l2;
}
for( int i = l; i<=r; ++i )
ans = min( ans, do_dp(i));
cout << fixed << setprecision(10);
cout << ans << '\n';
}
int main() {
int T = 1;
#ifdef LOCAL
freopen( "input.txt", "r", stdin);
freopen( "output.txt", "w", stdout );
cin >> T;
#else
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif
while(T--) solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
65 ms |
348 KB |
Output is correct |
6 |
Correct |
500 ms |
844 KB |
Output is correct |
7 |
Correct |
2402 ms |
1944 KB |
Output is correct |
8 |
Execution timed out |
2531 ms |
3672 KB |
Time limit exceeded |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
65 ms |
348 KB |
Output is correct |
6 |
Correct |
500 ms |
844 KB |
Output is correct |
7 |
Correct |
2402 ms |
1944 KB |
Output is correct |
8 |
Execution timed out |
2531 ms |
3672 KB |
Time limit exceeded |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
600 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
500 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
600 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
500 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
344 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
1 ms |
344 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
600 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
500 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
344 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
1 ms |
344 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
1 ms |
348 KB |
Output is correct |
43 |
Correct |
5 ms |
348 KB |
Output is correct |
44 |
Correct |
4 ms |
348 KB |
Output is correct |
45 |
Correct |
13 ms |
344 KB |
Output is correct |
46 |
Correct |
14 ms |
344 KB |
Output is correct |
47 |
Correct |
25 ms |
344 KB |
Output is correct |
48 |
Correct |
26 ms |
348 KB |
Output is correct |
49 |
Correct |
40 ms |
604 KB |
Output is correct |
50 |
Correct |
40 ms |
604 KB |
Output is correct |
51 |
Correct |
65 ms |
604 KB |
Output is correct |
52 |
Correct |
66 ms |
600 KB |
Output is correct |
53 |
Correct |
25 ms |
348 KB |
Output is correct |
54 |
Correct |
25 ms |
344 KB |
Output is correct |
55 |
Correct |
25 ms |
348 KB |
Output is correct |
56 |
Correct |
25 ms |
372 KB |
Output is correct |
57 |
Correct |
25 ms |
348 KB |
Output is correct |
58 |
Correct |
26 ms |
348 KB |
Output is correct |
59 |
Correct |
25 ms |
348 KB |
Output is correct |
60 |
Correct |
25 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
2570 ms |
6236 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
65 ms |
348 KB |
Output is correct |
6 |
Correct |
500 ms |
844 KB |
Output is correct |
7 |
Correct |
2402 ms |
1944 KB |
Output is correct |
8 |
Execution timed out |
2531 ms |
3672 KB |
Time limit exceeded |
9 |
Halted |
0 ms |
0 KB |
- |