#include <cstdio>
#include <stdio.h>
#include <iostream>
#include <math.h>
#include <vector>
#include <queue>
#include <stack>
#include <deque>
#include <algorithm>
#include <utility>
#include <set>
#include <map>
#include <stdlib.h>
#include <cstring>
#include <string.h>
#include <string>
#include <sstream>
#include <assert.h>
#include <climits>
#include <sstream>
#include <numeric>
#include <time.h>
#include <limits.h>
#include <list>
#include <bitset>
#include <unordered_map>
#include <unordered_set>
#include <random>
#include <iomanip>
#include <complex>
#include <chrono>
#include <fstream>
#include <functional>
#include <unistd.h>
// #pragma GCC optimize("Ofast,no-stack-protector")
// #pragma GCC optimize("O3,unroll-loops")
// #pragma GCC target("avx,avx2,bmi,bmi2,lzcnt,popcnt")
#define lowbit(x) ((x) & -(x))
#define ml(a, b) ((1ll * (a) * (b)) % M)
#define tml(a, b) (a) = ((1ll * (a) * (b)) % M)
#define ad(a, b) ((0ll + (a) + (b)) % M)
#define tad(a, b) (a) = ((0ll + (a) + (b)) % M)
#define mi(a, b) ((0ll + M + (a) - (b)) % M)
#define tmi(a, b) (a) = ((0ll + M + (a) - (b)) % M)
#define tmin(a, b) (a) = min((a), (b))
#define tmax(a, b) (a) = max((a), (b))
#define iter(a) (a).begin(), (a).end()
#define riter(a) (a).rbegin(), (a).rend()
#define init(a, b) memset((a), (b), sizeof(a))
#define cpy(a, b) memcpy((a), (b), sizeof(a))
#define uni(a) a.resize(unique(iter(a)) - a.begin())
#define pb emplace_back
#define mpr make_pair
#define ls(i) ((i) << 1)
#define rs(i) ((i) << 1 | 1)
#define INF 0x3f3f3f3f
#define NIF 0xc0c0c0c0
#define eps 1e-9
#define F first
#define S second
#define AC cin.tie(0)->sync_with_stdio(0)
using namespace std;
typedef long long llt;
typedef pair<int, int> pii;
typedef pair<double, double> pdd;
typedef pair<llt, llt> pll;
typedef complex<double> cd;
// const int M = 998244353;
// random_device rm;
// mt19937 rg(rm());
// default_random_engine rg(rm());
// uniform_int_distribution<int> rd(INT_MIN, INT_MAX);
// uniform_real_distribution<double> rd(0, M_PI);
void db() { cerr << "\n"; }
template <class T, class... U>
void db(T a, U... b) { cerr << a << " ", db(b...); }
inline char gc()
{
const static int SZ = 1 << 16;
static char buf[SZ], *p1, *p2;
if (p1 == p2 && (p2 = buf + fread(p1 = buf, 1, SZ, stdin), p1 == p2))
return -1;
return *p1++;
}
void rd() {}
template <typename T, typename... U>
void rd(T &x, U &...y)
{
x = 0;
bool f = 0;
char c = gc();
while (!isdigit(c))
f ^= !(c ^ 45), c = gc();
while (isdigit(c))
x = (x << 1) + (x << 3) + (c ^ 48), c = gc();
f && (x = -x), rd(y...);
}
template <typename T>
void prt(T x)
{
if (x < 0)
putchar('-'), x = -x;
if (x > 9)
prt(x / 10);
putchar((x % 10) ^ 48);
}
const int N = 505;
pii ar[N];
double dp[N][N];
signed main()
{
int n, k;
rd(n, k);
for (int i = 0; i < n; i++)
{
rd(ar[i].S, ar[i].F);
if (!~ar[i].F)
ar[i].F = INF;
}
sort(ar, ar + n);
double ans = 1e12;
auto slv = [&](int t) -> double
{
for (int i = 0; i <= t; i++)
fill(dp[i], dp[i] + k + 1, 1e12);
dp[0][0] = 0;
for (int p = 0; p < n; p++)
{
for (int j = min(k, p + 1); j > 0; j--)
{
for (int i = min(t, p + 1); i >= 0; i--)
{
if (i)
tmin(dp[i][j], dp[i - 1][j - 1] + ar[p].F / double(i));
tmin(dp[i][j], dp[i][j - 1] + ar[p].S / double(t + 1));
}
}
}
tmin(ans, dp[t][k]);
return dp[t][k];
};
int l = 0, r = k;
while (l < r - 2)
{
int m1 = (l * 2 + r) / 3, m2 = (l + r * 2) / 3;
if (slv(m1) < slv(m2))
r = m2;
else
l = m1;
}
for (int i = l; i <= r; i++)
slv(i);
printf("%.10lf\n", ans);
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 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 |
8 ms |
604 KB |
Output is correct |
6 |
Correct |
34 ms |
776 KB |
Output is correct |
7 |
Correct |
118 ms |
1084 KB |
Output is correct |
8 |
Correct |
228 ms |
1412 KB |
Output is correct |
9 |
Correct |
305 ms |
1616 KB |
Output is correct |
10 |
Correct |
217 ms |
1360 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 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 |
8 ms |
604 KB |
Output is correct |
6 |
Correct |
34 ms |
776 KB |
Output is correct |
7 |
Correct |
118 ms |
1084 KB |
Output is correct |
8 |
Correct |
228 ms |
1412 KB |
Output is correct |
9 |
Correct |
305 ms |
1616 KB |
Output is correct |
10 |
Correct |
217 ms |
1360 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
377 ms |
912 KB |
Output is correct |
13 |
Correct |
237 ms |
1108 KB |
Output is correct |
14 |
Correct |
135 ms |
604 KB |
Output is correct |
15 |
Correct |
1777 ms |
2044 KB |
Output is correct |
16 |
Correct |
1216 ms |
1508 KB |
Output is correct |
17 |
Correct |
534 ms |
1348 KB |
Output is correct |
18 |
Correct |
2466 ms |
2560 KB |
Output is correct |
19 |
Correct |
1746 ms |
1748 KB |
Output is correct |
20 |
Correct |
645 ms |
1620 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 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 |
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 |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 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 |
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 |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
344 KB |
Output is correct |
20 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
344 KB |
Output is correct |
32 |
Correct |
0 ms |
344 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 |
344 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 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 |
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 |
344 KB |
Output is correct |
9 |
Correct |
1 ms |
348 KB |
Output is correct |
10 |
Correct |
1 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
344 KB |
Output is correct |
20 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
344 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
344 KB |
Output is correct |
32 |
Correct |
0 ms |
344 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 |
344 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
0 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 |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
3 ms |
344 KB |
Output is correct |
45 |
Correct |
5 ms |
604 KB |
Output is correct |
46 |
Correct |
3 ms |
348 KB |
Output is correct |
47 |
Correct |
5 ms |
604 KB |
Output is correct |
48 |
Correct |
7 ms |
604 KB |
Output is correct |
49 |
Correct |
10 ms |
720 KB |
Output is correct |
50 |
Correct |
8 ms |
604 KB |
Output is correct |
51 |
Correct |
11 ms |
600 KB |
Output is correct |
52 |
Correct |
13 ms |
604 KB |
Output is correct |
53 |
Correct |
3 ms |
612 KB |
Output is correct |
54 |
Correct |
4 ms |
604 KB |
Output is correct |
55 |
Correct |
6 ms |
604 KB |
Output is correct |
56 |
Correct |
3 ms |
604 KB |
Output is correct |
57 |
Correct |
7 ms |
600 KB |
Output is correct |
58 |
Correct |
8 ms |
604 KB |
Output is correct |
59 |
Correct |
8 ms |
604 KB |
Output is correct |
60 |
Correct |
7 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1715 ms |
2000 KB |
Output is correct |
2 |
Correct |
1762 ms |
2136 KB |
Output is correct |
3 |
Correct |
1971 ms |
2116 KB |
Output is correct |
4 |
Correct |
2040 ms |
2216 KB |
Output is correct |
5 |
Correct |
2166 ms |
2268 KB |
Output is correct |
6 |
Correct |
1543 ms |
1756 KB |
Output is correct |
7 |
Correct |
2170 ms |
2272 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
348 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 |
8 ms |
604 KB |
Output is correct |
6 |
Correct |
34 ms |
776 KB |
Output is correct |
7 |
Correct |
118 ms |
1084 KB |
Output is correct |
8 |
Correct |
228 ms |
1412 KB |
Output is correct |
9 |
Correct |
305 ms |
1616 KB |
Output is correct |
10 |
Correct |
217 ms |
1360 KB |
Output is correct |
11 |
Correct |
1 ms |
344 KB |
Output is correct |
12 |
Correct |
377 ms |
912 KB |
Output is correct |
13 |
Correct |
237 ms |
1108 KB |
Output is correct |
14 |
Correct |
135 ms |
604 KB |
Output is correct |
15 |
Correct |
1777 ms |
2044 KB |
Output is correct |
16 |
Correct |
1216 ms |
1508 KB |
Output is correct |
17 |
Correct |
534 ms |
1348 KB |
Output is correct |
18 |
Correct |
2466 ms |
2560 KB |
Output is correct |
19 |
Correct |
1746 ms |
1748 KB |
Output is correct |
20 |
Correct |
645 ms |
1620 KB |
Output is correct |
21 |
Correct |
0 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 |
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 |
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 |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
348 KB |
Output is correct |
34 |
Correct |
1 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
348 KB |
Output is correct |
36 |
Correct |
0 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
1 ms |
348 KB |
Output is correct |
39 |
Correct |
1 ms |
344 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
1 ms |
348 KB |
Output is correct |
44 |
Correct |
1 ms |
348 KB |
Output is correct |
45 |
Correct |
1 ms |
344 KB |
Output is correct |
46 |
Correct |
1 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
348 KB |
Output is correct |
48 |
Correct |
1 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
1 ms |
344 KB |
Output is correct |
51 |
Correct |
1 ms |
344 KB |
Output is correct |
52 |
Correct |
0 ms |
344 KB |
Output is correct |
53 |
Correct |
1 ms |
344 KB |
Output is correct |
54 |
Correct |
1 ms |
344 KB |
Output is correct |
55 |
Correct |
1 ms |
344 KB |
Output is correct |
56 |
Correct |
1 ms |
348 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
1 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
1 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
348 KB |
Output is correct |
62 |
Correct |
1 ms |
348 KB |
Output is correct |
63 |
Correct |
1 ms |
348 KB |
Output is correct |
64 |
Correct |
3 ms |
344 KB |
Output is correct |
65 |
Correct |
5 ms |
604 KB |
Output is correct |
66 |
Correct |
3 ms |
348 KB |
Output is correct |
67 |
Correct |
5 ms |
604 KB |
Output is correct |
68 |
Correct |
7 ms |
604 KB |
Output is correct |
69 |
Correct |
10 ms |
720 KB |
Output is correct |
70 |
Correct |
8 ms |
604 KB |
Output is correct |
71 |
Correct |
11 ms |
600 KB |
Output is correct |
72 |
Correct |
13 ms |
604 KB |
Output is correct |
73 |
Correct |
3 ms |
612 KB |
Output is correct |
74 |
Correct |
4 ms |
604 KB |
Output is correct |
75 |
Correct |
6 ms |
604 KB |
Output is correct |
76 |
Correct |
3 ms |
604 KB |
Output is correct |
77 |
Correct |
7 ms |
600 KB |
Output is correct |
78 |
Correct |
8 ms |
604 KB |
Output is correct |
79 |
Correct |
8 ms |
604 KB |
Output is correct |
80 |
Correct |
7 ms |
604 KB |
Output is correct |
81 |
Correct |
1715 ms |
2000 KB |
Output is correct |
82 |
Correct |
1762 ms |
2136 KB |
Output is correct |
83 |
Correct |
1971 ms |
2116 KB |
Output is correct |
84 |
Correct |
2040 ms |
2216 KB |
Output is correct |
85 |
Correct |
2166 ms |
2268 KB |
Output is correct |
86 |
Correct |
1543 ms |
1756 KB |
Output is correct |
87 |
Correct |
2170 ms |
2272 KB |
Output is correct |
88 |
Correct |
12 ms |
344 KB |
Output is correct |
89 |
Correct |
30 ms |
604 KB |
Output is correct |
90 |
Correct |
92 ms |
780 KB |
Output is correct |
91 |
Correct |
223 ms |
872 KB |
Output is correct |
92 |
Correct |
415 ms |
1084 KB |
Output is correct |
93 |
Correct |
793 ms |
1268 KB |
Output is correct |
94 |
Correct |
931 ms |
1420 KB |
Output is correct |
95 |
Correct |
1471 ms |
1692 KB |
Output is correct |
96 |
Correct |
1555 ms |
1812 KB |
Output is correct |
97 |
Correct |
1817 ms |
1948 KB |
Output is correct |
98 |
Correct |
620 ms |
1352 KB |
Output is correct |
99 |
Correct |
318 ms |
1348 KB |
Output is correct |
100 |
Correct |
891 ms |
1352 KB |
Output is correct |
101 |
Correct |
1177 ms |
1504 KB |
Output is correct |
102 |
Correct |
1408 ms |
1676 KB |
Output is correct |
103 |
Correct |
1362 ms |
1676 KB |
Output is correct |
104 |
Correct |
1438 ms |
1608 KB |
Output is correct |
105 |
Correct |
238 ms |
1356 KB |
Output is correct |