#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
#define MAX 505
int N, K;
double A[MAX], B[MAX];
double dp[MAX][MAX], cost[MAX][MAX];
void process(void){
cin >> N >> K;
for (int i = 1; i <= N; ++i){
cin >> A[i] >> B[i];
if(B[i] == -1) B[i] = 1e9;
}
vector<int> order(N + 1);
iota(order.begin(), order.end(), 0);
sort(order.begin() + 1, order.end(), [&](int i, int j){
return B[i] < B[j];
});
vector<double> vals;
FOR(i, 0, N) FOR(j, 0, N) cost[i][j] = 1e9;
for (int i = N; i >= 1; --i){
vals.push_back(A[order[i]]);
sort(vals.begin(), vals.end());
double sm = 0;
cost[i][0] = 0;
for (int j = 0; j < (int)vals.size(); ++j){
sm += vals[j];
cost[i][j + 1] = sm;
}
}
double ans = cost[1][K];
for (int tak = 0; tak <= K; ++tak){
for (int i = 0; i <= K; ++i){
for (int j = 0; j <= K; ++j){
dp[i][j] = 1e9;
}
}
dp[0][0] = 0;
for (int i = 1; i <= K; ++i){
for (int j = 0; j <= i; ++j){
dp[i][j] = dp[i - 1][j] + (double)A[order[i]] / (double)(tak + 1);
if(j > 0)
minimize(dp[i][j], dp[i - 1][j - 1] + (double)B[order[i]] / (double)(j));
if(j == tak){
int need = K - i;
minimize(ans, dp[i][j] + (double)cost[i + 1][need] / (double)(tak + 1));
}
}
}
}
cout << setprecision(10) << fixed << ans;
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
3 ms |
2652 KB |
Output is correct |
6 |
Correct |
7 ms |
2968 KB |
Output is correct |
7 |
Correct |
23 ms |
3416 KB |
Output is correct |
8 |
Correct |
65 ms |
3928 KB |
Output is correct |
9 |
Correct |
146 ms |
4444 KB |
Output is correct |
10 |
Correct |
53 ms |
3676 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
3 ms |
2652 KB |
Output is correct |
6 |
Correct |
7 ms |
2968 KB |
Output is correct |
7 |
Correct |
23 ms |
3416 KB |
Output is correct |
8 |
Correct |
65 ms |
3928 KB |
Output is correct |
9 |
Correct |
146 ms |
4444 KB |
Output is correct |
10 |
Correct |
53 ms |
3676 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
9 ms |
2904 KB |
Output is correct |
13 |
Correct |
8 ms |
2904 KB |
Output is correct |
14 |
Correct |
8 ms |
2904 KB |
Output is correct |
15 |
Correct |
56 ms |
3676 KB |
Output is correct |
16 |
Correct |
56 ms |
3676 KB |
Output is correct |
17 |
Correct |
56 ms |
3676 KB |
Output is correct |
18 |
Correct |
156 ms |
4444 KB |
Output is correct |
19 |
Correct |
162 ms |
4440 KB |
Output is correct |
20 |
Correct |
170 ms |
4440 KB |
Output is correct |
# |
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 |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
# |
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 |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
600 KB |
Output is correct |
18 |
Correct |
0 ms |
604 KB |
Output is correct |
19 |
Correct |
0 ms |
604 KB |
Output is correct |
20 |
Correct |
0 ms |
604 KB |
Output is correct |
21 |
Correct |
0 ms |
604 KB |
Output is correct |
22 |
Correct |
0 ms |
600 KB |
Output is correct |
23 |
Correct |
0 ms |
604 KB |
Output is correct |
24 |
Correct |
0 ms |
856 KB |
Output is correct |
25 |
Correct |
0 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
604 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
600 KB |
Output is correct |
33 |
Correct |
0 ms |
604 KB |
Output is correct |
34 |
Correct |
0 ms |
604 KB |
Output is correct |
35 |
Correct |
0 ms |
604 KB |
Output is correct |
36 |
Correct |
0 ms |
600 KB |
Output is correct |
37 |
Correct |
0 ms |
604 KB |
Output is correct |
38 |
Correct |
0 ms |
604 KB |
Output is correct |
39 |
Correct |
1 ms |
600 KB |
Output is correct |
40 |
Correct |
0 ms |
600 KB |
Output is correct |
# |
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 |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
600 KB |
Output is correct |
18 |
Correct |
0 ms |
604 KB |
Output is correct |
19 |
Correct |
0 ms |
604 KB |
Output is correct |
20 |
Correct |
0 ms |
604 KB |
Output is correct |
21 |
Correct |
0 ms |
604 KB |
Output is correct |
22 |
Correct |
0 ms |
600 KB |
Output is correct |
23 |
Correct |
0 ms |
604 KB |
Output is correct |
24 |
Correct |
0 ms |
856 KB |
Output is correct |
25 |
Correct |
0 ms |
604 KB |
Output is correct |
26 |
Correct |
0 ms |
604 KB |
Output is correct |
27 |
Correct |
0 ms |
604 KB |
Output is correct |
28 |
Correct |
0 ms |
604 KB |
Output is correct |
29 |
Correct |
0 ms |
604 KB |
Output is correct |
30 |
Correct |
0 ms |
604 KB |
Output is correct |
31 |
Correct |
0 ms |
604 KB |
Output is correct |
32 |
Correct |
1 ms |
600 KB |
Output is correct |
33 |
Correct |
0 ms |
604 KB |
Output is correct |
34 |
Correct |
0 ms |
604 KB |
Output is correct |
35 |
Correct |
0 ms |
604 KB |
Output is correct |
36 |
Correct |
0 ms |
600 KB |
Output is correct |
37 |
Correct |
0 ms |
604 KB |
Output is correct |
38 |
Correct |
0 ms |
604 KB |
Output is correct |
39 |
Correct |
1 ms |
600 KB |
Output is correct |
40 |
Correct |
0 ms |
600 KB |
Output is correct |
41 |
Correct |
1 ms |
860 KB |
Output is correct |
42 |
Correct |
1 ms |
860 KB |
Output is correct |
43 |
Correct |
1 ms |
860 KB |
Output is correct |
44 |
Correct |
1 ms |
856 KB |
Output is correct |
45 |
Correct |
1 ms |
860 KB |
Output is correct |
46 |
Correct |
1 ms |
856 KB |
Output is correct |
47 |
Correct |
1 ms |
1116 KB |
Output is correct |
48 |
Correct |
1 ms |
1116 KB |
Output is correct |
49 |
Correct |
1 ms |
1116 KB |
Output is correct |
50 |
Correct |
2 ms |
1116 KB |
Output is correct |
51 |
Correct |
3 ms |
1116 KB |
Output is correct |
52 |
Correct |
3 ms |
1280 KB |
Output is correct |
53 |
Correct |
1 ms |
1116 KB |
Output is correct |
54 |
Correct |
1 ms |
936 KB |
Output is correct |
55 |
Correct |
1 ms |
1112 KB |
Output is correct |
56 |
Correct |
1 ms |
1116 KB |
Output is correct |
57 |
Correct |
1 ms |
1116 KB |
Output is correct |
58 |
Correct |
1 ms |
1116 KB |
Output is correct |
59 |
Correct |
1 ms |
1116 KB |
Output is correct |
60 |
Correct |
1 ms |
1116 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
165 ms |
4440 KB |
Output is correct |
2 |
Correct |
151 ms |
4444 KB |
Output is correct |
3 |
Correct |
150 ms |
4444 KB |
Output is correct |
4 |
Correct |
152 ms |
4440 KB |
Output is correct |
5 |
Correct |
203 ms |
4444 KB |
Output is correct |
6 |
Correct |
151 ms |
4444 KB |
Output is correct |
7 |
Correct |
153 ms |
4440 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
3 ms |
2652 KB |
Output is correct |
6 |
Correct |
7 ms |
2968 KB |
Output is correct |
7 |
Correct |
23 ms |
3416 KB |
Output is correct |
8 |
Correct |
65 ms |
3928 KB |
Output is correct |
9 |
Correct |
146 ms |
4444 KB |
Output is correct |
10 |
Correct |
53 ms |
3676 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
9 ms |
2904 KB |
Output is correct |
13 |
Correct |
8 ms |
2904 KB |
Output is correct |
14 |
Correct |
8 ms |
2904 KB |
Output is correct |
15 |
Correct |
56 ms |
3676 KB |
Output is correct |
16 |
Correct |
56 ms |
3676 KB |
Output is correct |
17 |
Correct |
56 ms |
3676 KB |
Output is correct |
18 |
Correct |
156 ms |
4444 KB |
Output is correct |
19 |
Correct |
162 ms |
4440 KB |
Output is correct |
20 |
Correct |
170 ms |
4440 KB |
Output is correct |
21 |
Correct |
0 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
0 ms |
344 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
344 KB |
Output is correct |
37 |
Correct |
0 ms |
600 KB |
Output is correct |
38 |
Correct |
0 ms |
604 KB |
Output is correct |
39 |
Correct |
0 ms |
604 KB |
Output is correct |
40 |
Correct |
0 ms |
604 KB |
Output is correct |
41 |
Correct |
0 ms |
604 KB |
Output is correct |
42 |
Correct |
0 ms |
600 KB |
Output is correct |
43 |
Correct |
0 ms |
604 KB |
Output is correct |
44 |
Correct |
0 ms |
856 KB |
Output is correct |
45 |
Correct |
0 ms |
604 KB |
Output is correct |
46 |
Correct |
0 ms |
604 KB |
Output is correct |
47 |
Correct |
0 ms |
604 KB |
Output is correct |
48 |
Correct |
0 ms |
604 KB |
Output is correct |
49 |
Correct |
0 ms |
604 KB |
Output is correct |
50 |
Correct |
0 ms |
604 KB |
Output is correct |
51 |
Correct |
0 ms |
604 KB |
Output is correct |
52 |
Correct |
1 ms |
600 KB |
Output is correct |
53 |
Correct |
0 ms |
604 KB |
Output is correct |
54 |
Correct |
0 ms |
604 KB |
Output is correct |
55 |
Correct |
0 ms |
604 KB |
Output is correct |
56 |
Correct |
0 ms |
600 KB |
Output is correct |
57 |
Correct |
0 ms |
604 KB |
Output is correct |
58 |
Correct |
0 ms |
604 KB |
Output is correct |
59 |
Correct |
1 ms |
600 KB |
Output is correct |
60 |
Correct |
0 ms |
600 KB |
Output is correct |
61 |
Correct |
1 ms |
860 KB |
Output is correct |
62 |
Correct |
1 ms |
860 KB |
Output is correct |
63 |
Correct |
1 ms |
860 KB |
Output is correct |
64 |
Correct |
1 ms |
856 KB |
Output is correct |
65 |
Correct |
1 ms |
860 KB |
Output is correct |
66 |
Correct |
1 ms |
856 KB |
Output is correct |
67 |
Correct |
1 ms |
1116 KB |
Output is correct |
68 |
Correct |
1 ms |
1116 KB |
Output is correct |
69 |
Correct |
1 ms |
1116 KB |
Output is correct |
70 |
Correct |
2 ms |
1116 KB |
Output is correct |
71 |
Correct |
3 ms |
1116 KB |
Output is correct |
72 |
Correct |
3 ms |
1280 KB |
Output is correct |
73 |
Correct |
1 ms |
1116 KB |
Output is correct |
74 |
Correct |
1 ms |
936 KB |
Output is correct |
75 |
Correct |
1 ms |
1112 KB |
Output is correct |
76 |
Correct |
1 ms |
1116 KB |
Output is correct |
77 |
Correct |
1 ms |
1116 KB |
Output is correct |
78 |
Correct |
1 ms |
1116 KB |
Output is correct |
79 |
Correct |
1 ms |
1116 KB |
Output is correct |
80 |
Correct |
1 ms |
1116 KB |
Output is correct |
81 |
Correct |
165 ms |
4440 KB |
Output is correct |
82 |
Correct |
151 ms |
4444 KB |
Output is correct |
83 |
Correct |
150 ms |
4444 KB |
Output is correct |
84 |
Correct |
152 ms |
4440 KB |
Output is correct |
85 |
Correct |
203 ms |
4444 KB |
Output is correct |
86 |
Correct |
151 ms |
4444 KB |
Output is correct |
87 |
Correct |
153 ms |
4440 KB |
Output is correct |
88 |
Correct |
4 ms |
2652 KB |
Output is correct |
89 |
Correct |
4 ms |
2512 KB |
Output is correct |
90 |
Correct |
6 ms |
2904 KB |
Output is correct |
91 |
Correct |
6 ms |
2968 KB |
Output is correct |
92 |
Correct |
24 ms |
3416 KB |
Output is correct |
93 |
Correct |
24 ms |
3420 KB |
Output is correct |
94 |
Correct |
68 ms |
3940 KB |
Output is correct |
95 |
Correct |
75 ms |
3760 KB |
Output is correct |
96 |
Correct |
112 ms |
4188 KB |
Output is correct |
97 |
Correct |
112 ms |
4188 KB |
Output is correct |
98 |
Correct |
56 ms |
3836 KB |
Output is correct |
99 |
Correct |
55 ms |
3844 KB |
Output is correct |
100 |
Correct |
58 ms |
3676 KB |
Output is correct |
101 |
Correct |
58 ms |
4440 KB |
Output is correct |
102 |
Correct |
57 ms |
3676 KB |
Output is correct |
103 |
Correct |
57 ms |
3672 KB |
Output is correct |
104 |
Correct |
58 ms |
3676 KB |
Output is correct |
105 |
Correct |
53 ms |
3676 KB |
Output is correct |