#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int((x).size()))
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt(x) __builtin_popcount(x)
#define pb push_back
#define popf pop_front
#define popb pop_back
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if (str != "") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
}
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const long double inf = 1e15;
const int N = 1e2 + 10;
long double dp[N][N][N];
int n, k;
void solve_() {
cin >> n >> k;
vector<pair<long double, long double>> vec;
for(int i = 1; i <= n; i++) {
long double a, b; cin >> a >> b;
vec.emplace_back(b, a);
}
sort(all(vec));
if(n <= 100) {
long double pi = inf;
for(int qq = 0; qq <= n; qq++) {
long double ci = qq + 1;
for(int i = 0; i <= n; i++) {
for(int j = 0; j <= n; j++) {
for(int e = 0; e <= n; e++) {
dp[i][j][e] = inf;
}
}
}
dp[0][0][0] = 0;
for(int i = 0; i < n; i++) {
for(int j = 0; j <= qq; j++) {
for(int e = 0; e <= n && e + j <= i; e++) {
if(j + 1 <= qq && vec[i].first != -1) {
long double qn = j + 1;
dp[i + 1][j + 1][e] = min(dp[i + 1][j + 1][e], dp[i][j][e] + vec[i].first / qn);
}
dp[i + 1][j][e + 1] = min(dp[i + 1][j][e + 1], dp[i][j][e] + vec[i].second / ci);
dp[i + 1][j][e] = min(dp[i + 1][j][e], dp[i][j][e]);
// dbg(dp[i + 1][j][e + 1])
}
}
}
// dbg(dp[n][qq][k])
// for(int i = 0; i <= n; i++) {
// dbg(make_pair(qq, i))
// dbg(dp[n][qq][i])
// }
pi = min(pi, dp[n][qq][max(0, k - qq)]);
}
cout << setprecision(15) << pi << '\n';
return;
}
long double p = inf;
for(int i = 0; i <= n; i++) {
long double cnt = 1, ans = 0;
vector<long double> vi;
int cc = 0;
for(int j = 0; j < i; j++) {
if(vec[j].first == -1) {
vi.push_back(vec[j].second);
continue;
}
cc++;
ans += vec[j].first / cnt;
cnt += 1;
}
for(int j = i; j < n; j++) {
vi.push_back(vec[j].second);
}
sort(all(vi));
int it = 0, mm = k - cc;
while(mm > 0) {
ans += vi[it] / cnt;
it++, mm--;
}
p = min(p, ans);
}
cout << setprecision(15) << p << '\n';
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
while(test_case--) {
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
Compilation message
Main.cpp: In function 'void setIO(std::string)':
Main.cpp:64:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
64 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:65:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
65 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
9 ms |
376 KB |
Output is correct |
6 |
Correct |
9 ms |
340 KB |
Output is correct |
7 |
Correct |
9 ms |
384 KB |
Output is correct |
8 |
Correct |
9 ms |
380 KB |
Output is correct |
9 |
Correct |
12 ms |
324 KB |
Output is correct |
10 |
Correct |
10 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
9 ms |
376 KB |
Output is correct |
6 |
Correct |
9 ms |
340 KB |
Output is correct |
7 |
Correct |
9 ms |
384 KB |
Output is correct |
8 |
Correct |
9 ms |
380 KB |
Output is correct |
9 |
Correct |
12 ms |
324 KB |
Output is correct |
10 |
Correct |
10 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
7 ms |
340 KB |
Output is correct |
13 |
Correct |
11 ms |
380 KB |
Output is correct |
14 |
Correct |
12 ms |
340 KB |
Output is correct |
15 |
Correct |
7 ms |
340 KB |
Output is correct |
16 |
Correct |
12 ms |
340 KB |
Output is correct |
17 |
Correct |
15 ms |
368 KB |
Output is correct |
18 |
Correct |
7 ms |
324 KB |
Output is correct |
19 |
Correct |
12 ms |
384 KB |
Output is correct |
20 |
Correct |
13 ms |
408 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
456 KB |
Output is correct |
3 |
Correct |
1 ms |
456 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
456 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
1 ms |
352 KB |
Output is correct |
15 |
Correct |
1 ms |
452 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
456 KB |
Output is correct |
3 |
Correct |
1 ms |
456 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
456 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
1 ms |
352 KB |
Output is correct |
15 |
Correct |
1 ms |
452 KB |
Output is correct |
16 |
Correct |
3 ms |
1092 KB |
Output is correct |
17 |
Correct |
3 ms |
1108 KB |
Output is correct |
18 |
Correct |
4 ms |
1144 KB |
Output is correct |
19 |
Correct |
3 ms |
1108 KB |
Output is correct |
20 |
Correct |
3 ms |
1108 KB |
Output is correct |
21 |
Correct |
4 ms |
1108 KB |
Output is correct |
22 |
Correct |
4 ms |
1164 KB |
Output is correct |
23 |
Correct |
3 ms |
1096 KB |
Output is correct |
24 |
Correct |
3 ms |
1108 KB |
Output is correct |
25 |
Correct |
4 ms |
1096 KB |
Output is correct |
26 |
Correct |
3 ms |
1100 KB |
Output is correct |
27 |
Correct |
3 ms |
1096 KB |
Output is correct |
28 |
Correct |
3 ms |
1108 KB |
Output is correct |
29 |
Correct |
3 ms |
1092 KB |
Output is correct |
30 |
Correct |
4 ms |
1108 KB |
Output is correct |
31 |
Correct |
4 ms |
1092 KB |
Output is correct |
32 |
Correct |
4 ms |
1236 KB |
Output is correct |
33 |
Correct |
3 ms |
1108 KB |
Output is correct |
34 |
Correct |
4 ms |
1164 KB |
Output is correct |
35 |
Correct |
3 ms |
1108 KB |
Output is correct |
36 |
Correct |
3 ms |
1088 KB |
Output is correct |
37 |
Correct |
4 ms |
1160 KB |
Output is correct |
38 |
Correct |
3 ms |
1120 KB |
Output is correct |
39 |
Correct |
3 ms |
1108 KB |
Output is correct |
40 |
Correct |
4 ms |
1108 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
1 ms |
456 KB |
Output is correct |
3 |
Correct |
1 ms |
456 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
456 KB |
Output is correct |
7 |
Correct |
1 ms |
512 KB |
Output is correct |
8 |
Correct |
1 ms |
460 KB |
Output is correct |
9 |
Correct |
1 ms |
468 KB |
Output is correct |
10 |
Correct |
1 ms |
468 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
1 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
1 ms |
352 KB |
Output is correct |
15 |
Correct |
1 ms |
452 KB |
Output is correct |
16 |
Correct |
3 ms |
1092 KB |
Output is correct |
17 |
Correct |
3 ms |
1108 KB |
Output is correct |
18 |
Correct |
4 ms |
1144 KB |
Output is correct |
19 |
Correct |
3 ms |
1108 KB |
Output is correct |
20 |
Correct |
3 ms |
1108 KB |
Output is correct |
21 |
Correct |
4 ms |
1108 KB |
Output is correct |
22 |
Correct |
4 ms |
1164 KB |
Output is correct |
23 |
Correct |
3 ms |
1096 KB |
Output is correct |
24 |
Correct |
3 ms |
1108 KB |
Output is correct |
25 |
Correct |
4 ms |
1096 KB |
Output is correct |
26 |
Correct |
3 ms |
1100 KB |
Output is correct |
27 |
Correct |
3 ms |
1096 KB |
Output is correct |
28 |
Correct |
3 ms |
1108 KB |
Output is correct |
29 |
Correct |
3 ms |
1092 KB |
Output is correct |
30 |
Correct |
4 ms |
1108 KB |
Output is correct |
31 |
Correct |
4 ms |
1092 KB |
Output is correct |
32 |
Correct |
4 ms |
1236 KB |
Output is correct |
33 |
Correct |
3 ms |
1108 KB |
Output is correct |
34 |
Correct |
4 ms |
1164 KB |
Output is correct |
35 |
Correct |
3 ms |
1108 KB |
Output is correct |
36 |
Correct |
3 ms |
1088 KB |
Output is correct |
37 |
Correct |
4 ms |
1160 KB |
Output is correct |
38 |
Correct |
3 ms |
1120 KB |
Output is correct |
39 |
Correct |
3 ms |
1108 KB |
Output is correct |
40 |
Correct |
4 ms |
1108 KB |
Output is correct |
41 |
Correct |
948 ms |
18288 KB |
Output is correct |
42 |
Correct |
974 ms |
18288 KB |
Output is correct |
43 |
Correct |
855 ms |
18292 KB |
Output is correct |
44 |
Correct |
886 ms |
18292 KB |
Output is correct |
45 |
Correct |
874 ms |
18292 KB |
Output is correct |
46 |
Correct |
878 ms |
18300 KB |
Output is correct |
47 |
Correct |
879 ms |
18300 KB |
Output is correct |
48 |
Correct |
877 ms |
18284 KB |
Output is correct |
49 |
Correct |
870 ms |
18292 KB |
Output is correct |
50 |
Correct |
900 ms |
18300 KB |
Output is correct |
51 |
Correct |
878 ms |
18292 KB |
Output is correct |
52 |
Correct |
848 ms |
18364 KB |
Output is correct |
53 |
Correct |
862 ms |
18288 KB |
Output is correct |
54 |
Correct |
861 ms |
18292 KB |
Output is correct |
55 |
Correct |
842 ms |
18288 KB |
Output is correct |
56 |
Correct |
845 ms |
18388 KB |
Output is correct |
57 |
Correct |
878 ms |
18284 KB |
Output is correct |
58 |
Correct |
851 ms |
18288 KB |
Output is correct |
59 |
Correct |
860 ms |
18292 KB |
Output is correct |
60 |
Correct |
887 ms |
18284 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
14 ms |
340 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
328 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
9 ms |
376 KB |
Output is correct |
6 |
Correct |
9 ms |
340 KB |
Output is correct |
7 |
Correct |
9 ms |
384 KB |
Output is correct |
8 |
Correct |
9 ms |
380 KB |
Output is correct |
9 |
Correct |
12 ms |
324 KB |
Output is correct |
10 |
Correct |
10 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
7 ms |
340 KB |
Output is correct |
13 |
Correct |
11 ms |
380 KB |
Output is correct |
14 |
Correct |
12 ms |
340 KB |
Output is correct |
15 |
Correct |
7 ms |
340 KB |
Output is correct |
16 |
Correct |
12 ms |
340 KB |
Output is correct |
17 |
Correct |
15 ms |
368 KB |
Output is correct |
18 |
Correct |
7 ms |
324 KB |
Output is correct |
19 |
Correct |
12 ms |
384 KB |
Output is correct |
20 |
Correct |
13 ms |
408 KB |
Output is correct |
21 |
Correct |
1 ms |
468 KB |
Output is correct |
22 |
Correct |
1 ms |
456 KB |
Output is correct |
23 |
Correct |
1 ms |
456 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
456 KB |
Output is correct |
27 |
Correct |
1 ms |
512 KB |
Output is correct |
28 |
Correct |
1 ms |
460 KB |
Output is correct |
29 |
Correct |
1 ms |
468 KB |
Output is correct |
30 |
Correct |
1 ms |
468 KB |
Output is correct |
31 |
Correct |
1 ms |
468 KB |
Output is correct |
32 |
Correct |
1 ms |
468 KB |
Output is correct |
33 |
Correct |
1 ms |
468 KB |
Output is correct |
34 |
Correct |
1 ms |
352 KB |
Output is correct |
35 |
Correct |
1 ms |
452 KB |
Output is correct |
36 |
Correct |
3 ms |
1092 KB |
Output is correct |
37 |
Correct |
3 ms |
1108 KB |
Output is correct |
38 |
Correct |
4 ms |
1144 KB |
Output is correct |
39 |
Correct |
3 ms |
1108 KB |
Output is correct |
40 |
Correct |
3 ms |
1108 KB |
Output is correct |
41 |
Correct |
4 ms |
1108 KB |
Output is correct |
42 |
Correct |
4 ms |
1164 KB |
Output is correct |
43 |
Correct |
3 ms |
1096 KB |
Output is correct |
44 |
Correct |
3 ms |
1108 KB |
Output is correct |
45 |
Correct |
4 ms |
1096 KB |
Output is correct |
46 |
Correct |
3 ms |
1100 KB |
Output is correct |
47 |
Correct |
3 ms |
1096 KB |
Output is correct |
48 |
Correct |
3 ms |
1108 KB |
Output is correct |
49 |
Correct |
3 ms |
1092 KB |
Output is correct |
50 |
Correct |
4 ms |
1108 KB |
Output is correct |
51 |
Correct |
4 ms |
1092 KB |
Output is correct |
52 |
Correct |
4 ms |
1236 KB |
Output is correct |
53 |
Correct |
3 ms |
1108 KB |
Output is correct |
54 |
Correct |
4 ms |
1164 KB |
Output is correct |
55 |
Correct |
3 ms |
1108 KB |
Output is correct |
56 |
Correct |
3 ms |
1088 KB |
Output is correct |
57 |
Correct |
4 ms |
1160 KB |
Output is correct |
58 |
Correct |
3 ms |
1120 KB |
Output is correct |
59 |
Correct |
3 ms |
1108 KB |
Output is correct |
60 |
Correct |
4 ms |
1108 KB |
Output is correct |
61 |
Correct |
948 ms |
18288 KB |
Output is correct |
62 |
Correct |
974 ms |
18288 KB |
Output is correct |
63 |
Correct |
855 ms |
18292 KB |
Output is correct |
64 |
Correct |
886 ms |
18292 KB |
Output is correct |
65 |
Correct |
874 ms |
18292 KB |
Output is correct |
66 |
Correct |
878 ms |
18300 KB |
Output is correct |
67 |
Correct |
879 ms |
18300 KB |
Output is correct |
68 |
Correct |
877 ms |
18284 KB |
Output is correct |
69 |
Correct |
870 ms |
18292 KB |
Output is correct |
70 |
Correct |
900 ms |
18300 KB |
Output is correct |
71 |
Correct |
878 ms |
18292 KB |
Output is correct |
72 |
Correct |
848 ms |
18364 KB |
Output is correct |
73 |
Correct |
862 ms |
18288 KB |
Output is correct |
74 |
Correct |
861 ms |
18292 KB |
Output is correct |
75 |
Correct |
842 ms |
18288 KB |
Output is correct |
76 |
Correct |
845 ms |
18388 KB |
Output is correct |
77 |
Correct |
878 ms |
18284 KB |
Output is correct |
78 |
Correct |
851 ms |
18288 KB |
Output is correct |
79 |
Correct |
860 ms |
18292 KB |
Output is correct |
80 |
Correct |
887 ms |
18284 KB |
Output is correct |
81 |
Incorrect |
14 ms |
340 KB |
Output isn't correct |
82 |
Halted |
0 ms |
0 KB |
- |