/* Author : Mychecksdead */
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define MOD (1000000000+7)
#define MOD1 (998244353)
#define pb push_back
#define all(x) x.begin(), x.end()
#define en cout << '\n'
const int N = 1e3+100, M = 1e5+10, K = 52, MX = 30;
int n, k, sum[N][N];
array<int, 2> a[N];
pair<int, double> dp[N][N];
double get(int x, double y, double j){
return y + x/j;
}
void solve(){
cin >> n >> k;
for(int i = 1; i <= n; ++i){
cin >> a[i][1] >> a[i][0];
if(a[i][0] == -1) a[i][0] = MOD;
}
sort(a+1, a+1+n);
for(int j = 0; j <= n; ++j) sum[n+1][j] = 0;
for(int i = n; i >= 1; --i){
for(int j = 0; j < n - i + 1; ++j){
sum[i][j] = min(sum[i + 1][j], j == 0 ? MOD : sum[i + 1][j - 1] + a[i][1]);
}
sum[i][n - i + 1] = sum[i + 1][n - i] + a[i][1];
}
double ans = sum[1][k];
for(int i = 0; i <= n; ++i) for(int j = 0; j <= n; ++j) dp[i][j] = {MOD, MOD};
dp[0][0] = {0, 0};
for(int i = 1; i <= k; ++i){
if(a[i][0] == MOD) break;
dp[i][0] = dp[i - 1][0];
dp[i][0].first += a[i][1];
for(int j = 1; j < i; ++j){
double val1 = get(dp[i - 1][j].first + a[i][1], dp[i - 1][j].second, j + 1);
double val2 = get(dp[i - 1][j - 1].first, dp[i - 1][j - 1].second + a[i][0] / (double) j, j + 1);
if(val1 <= val2){
dp[i][j] = {dp[i - 1][j].first + a[i][1], dp[i - 1][j].second};
}else{
dp[i][j] = {dp[i - 1][j - 1].first, dp[i - 1][j - 1].second + a[i][0] / (double) j};
}
ans = min(ans, get(sum[i + 1][k - i] + dp[i][j].first, dp[i][j].second, j + 1));
}
dp[i][i] = dp[i - 1][i - 1];
dp[i][i].second += a[i][0] / (double) i;
ans = min(ans, get(sum[i + 1][k - i] + dp[i][i].first, dp[i][i].second, i + 1));
}
cout << fixed << setprecision(15);
cout << ans;
}
int main(){
cin.tie(0); ios::sync_with_stdio(0);
int tt = 1, aa;
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
while(tt--){
solve();
en;
}
cerr<<"time taken : "<<(float)clock()/CLOCKS_PER_SEC<<" seconds\n";
return 0;
}
Compilation message
Main.cpp: In function 'int main()':
Main.cpp:67:15: warning: unused variable 'aa' [-Wunused-variable]
67 | int tt = 1, aa;
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
14940 KB |
Output is correct |
6 |
Correct |
2 ms |
14804 KB |
Output is correct |
7 |
Correct |
2 ms |
14940 KB |
Output is correct |
8 |
Correct |
2 ms |
14940 KB |
Output is correct |
9 |
Correct |
2 ms |
14940 KB |
Output is correct |
10 |
Correct |
2 ms |
14940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
14940 KB |
Output is correct |
6 |
Correct |
2 ms |
14804 KB |
Output is correct |
7 |
Correct |
2 ms |
14940 KB |
Output is correct |
8 |
Correct |
2 ms |
14940 KB |
Output is correct |
9 |
Correct |
2 ms |
14940 KB |
Output is correct |
10 |
Correct |
2 ms |
14940 KB |
Output is correct |
11 |
Correct |
0 ms |
2396 KB |
Output is correct |
12 |
Correct |
2 ms |
14940 KB |
Output is correct |
13 |
Correct |
2 ms |
14936 KB |
Output is correct |
14 |
Correct |
2 ms |
14936 KB |
Output is correct |
15 |
Correct |
3 ms |
14940 KB |
Output is correct |
16 |
Correct |
2 ms |
14936 KB |
Output is correct |
17 |
Correct |
2 ms |
14936 KB |
Output is correct |
18 |
Correct |
3 ms |
14940 KB |
Output is correct |
19 |
Correct |
3 ms |
14940 KB |
Output is correct |
20 |
Correct |
2 ms |
14940 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
2396 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Incorrect |
0 ms |
2396 KB |
Output isn't correct |
15 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
2396 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Incorrect |
0 ms |
2396 KB |
Output isn't correct |
15 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
2396 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
0 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
0 ms |
2396 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2396 KB |
Output is correct |
12 |
Correct |
0 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Incorrect |
0 ms |
2396 KB |
Output isn't correct |
15 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
3 ms |
14940 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2392 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
0 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
14940 KB |
Output is correct |
6 |
Correct |
2 ms |
14804 KB |
Output is correct |
7 |
Correct |
2 ms |
14940 KB |
Output is correct |
8 |
Correct |
2 ms |
14940 KB |
Output is correct |
9 |
Correct |
2 ms |
14940 KB |
Output is correct |
10 |
Correct |
2 ms |
14940 KB |
Output is correct |
11 |
Correct |
0 ms |
2396 KB |
Output is correct |
12 |
Correct |
2 ms |
14940 KB |
Output is correct |
13 |
Correct |
2 ms |
14936 KB |
Output is correct |
14 |
Correct |
2 ms |
14936 KB |
Output is correct |
15 |
Correct |
3 ms |
14940 KB |
Output is correct |
16 |
Correct |
2 ms |
14936 KB |
Output is correct |
17 |
Correct |
2 ms |
14936 KB |
Output is correct |
18 |
Correct |
3 ms |
14940 KB |
Output is correct |
19 |
Correct |
3 ms |
14940 KB |
Output is correct |
20 |
Correct |
2 ms |
14940 KB |
Output is correct |
21 |
Correct |
0 ms |
2396 KB |
Output is correct |
22 |
Correct |
0 ms |
2396 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
0 ms |
2396 KB |
Output is correct |
25 |
Correct |
0 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
0 ms |
2396 KB |
Output is correct |
28 |
Correct |
0 ms |
2396 KB |
Output is correct |
29 |
Correct |
0 ms |
2396 KB |
Output is correct |
30 |
Correct |
0 ms |
2396 KB |
Output is correct |
31 |
Correct |
1 ms |
2396 KB |
Output is correct |
32 |
Correct |
0 ms |
2396 KB |
Output is correct |
33 |
Correct |
1 ms |
2396 KB |
Output is correct |
34 |
Incorrect |
0 ms |
2396 KB |
Output isn't correct |
35 |
Halted |
0 ms |
0 KB |
- |