#include <bits/stdc++.h>
using namespace std;
#define int long long
#define db float
#define MAX 502
basic_string<db> dp[MAX][MAX];
int n, k;
pair<db, db> info[MAX];
int maxcolab;
bool cmp(pair<db, db> a, pair<db, db> b){
if (a.second == -1) a.second = 1000000000;
if (b.second == -1) b.second = 1000000000;
return a.second < b.second;
}
db recur(int idx, int colabCount, int voteCount){
#define cringe info
if (maxcolab < colabCount) return 1000000000;
if (voteCount > k) return 1000000000;
if (idx == n && voteCount == k && maxcolab == colabCount) return 0;
else if (idx == n) return 1000000000;
if (dp[idx][colabCount][voteCount] != -1) return dp[idx][colabCount][voteCount];
if (cringe[idx].second == -1) return dp[idx][colabCount][voteCount] = min(recur(idx+1, colabCount, voteCount), recur(idx+1, colabCount, voteCount+1) + cringe[idx].first/maxcolab);
return dp[idx][colabCount][voteCount] = min({recur(idx+1, colabCount, voteCount), recur(idx+1, colabCount, voteCount+1) + cringe[idx].first/maxcolab, recur(idx+1, colabCount+1, voteCount+1) + cringe[idx].second/colabCount});
}
db ans = 1000000000000000LL;
db query(int x){
for (int a = 0; a <= n; a++) for (int y = 0; y <= n+1; y++) {dp[a][y].clear(); dp[a][y].reserve(n); for (int z = 0; z <= n; z++) dp[a][y].push_back(-1);}
maxcolab = x;
db r = recur(0, 1, 0);
ans = min(ans, r);
return r;
}
signed main(){
cin >> n >> k;
for (int x = 0; x < n; x++) cin >> info[x].first >> info[x].second;
sort(info, info+n, cmp);
int l = 1, r = n+1;
while (r - l >= 3){
int m1 = l + (r-l)/3;
int m2 = r - (r-l)/3;
if (query(m1) > query(m2)){
l = m1;
}
else{
r = m2;
}
}
for (int i = l; i <= r; i++){
ans = min(ans, query(i));
}
cout << std::setprecision(9) << ans;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 2 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 3 |
Correct |
7 ms |
8148 KB |
Output is correct |
| 4 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 5 |
Execution timed out |
2630 ms |
996492 KB |
Time limit exceeded |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 2 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 3 |
Correct |
7 ms |
8148 KB |
Output is correct |
| 4 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 5 |
Execution timed out |
2630 ms |
996492 KB |
Time limit exceeded |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 2 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 3 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 4 |
Correct |
6 ms |
8124 KB |
Output is correct |
| 5 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 6 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 7 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 8 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 9 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 10 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 11 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 12 |
Correct |
4 ms |
8108 KB |
Output is correct |
| 13 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 14 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 15 |
Correct |
4 ms |
8148 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 2 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 3 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 4 |
Correct |
6 ms |
8124 KB |
Output is correct |
| 5 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 6 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 7 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 8 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 9 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 10 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 11 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 12 |
Correct |
4 ms |
8108 KB |
Output is correct |
| 13 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 14 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 15 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 16 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 17 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 18 |
Correct |
5 ms |
8276 KB |
Output is correct |
| 19 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 20 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 21 |
Correct |
6 ms |
8148 KB |
Output is correct |
| 22 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 23 |
Correct |
6 ms |
8268 KB |
Output is correct |
| 24 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 25 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 26 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 27 |
Correct |
5 ms |
8276 KB |
Output is correct |
| 28 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 29 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 30 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 31 |
Correct |
7 ms |
8276 KB |
Output is correct |
| 32 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 33 |
Correct |
7 ms |
8276 KB |
Output is correct |
| 34 |
Correct |
6 ms |
8280 KB |
Output is correct |
| 35 |
Correct |
6 ms |
8148 KB |
Output is correct |
| 36 |
Correct |
6 ms |
8264 KB |
Output is correct |
| 37 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 38 |
Correct |
6 ms |
8148 KB |
Output is correct |
| 39 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 40 |
Correct |
5 ms |
8276 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 2 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 3 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 4 |
Correct |
6 ms |
8124 KB |
Output is correct |
| 5 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 6 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 7 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 8 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 9 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 10 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 11 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 12 |
Correct |
4 ms |
8108 KB |
Output is correct |
| 13 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 14 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 15 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 16 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 17 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 18 |
Correct |
5 ms |
8276 KB |
Output is correct |
| 19 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 20 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 21 |
Correct |
6 ms |
8148 KB |
Output is correct |
| 22 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 23 |
Correct |
6 ms |
8268 KB |
Output is correct |
| 24 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 25 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 26 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 27 |
Correct |
5 ms |
8276 KB |
Output is correct |
| 28 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 29 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 30 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 31 |
Correct |
7 ms |
8276 KB |
Output is correct |
| 32 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 33 |
Correct |
7 ms |
8276 KB |
Output is correct |
| 34 |
Correct |
6 ms |
8280 KB |
Output is correct |
| 35 |
Correct |
6 ms |
8148 KB |
Output is correct |
| 36 |
Correct |
6 ms |
8264 KB |
Output is correct |
| 37 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 38 |
Correct |
6 ms |
8148 KB |
Output is correct |
| 39 |
Correct |
6 ms |
8276 KB |
Output is correct |
| 40 |
Correct |
5 ms |
8276 KB |
Output is correct |
| 41 |
Correct |
140 ms |
16416 KB |
Output is correct |
| 42 |
Correct |
135 ms |
16404 KB |
Output is correct |
| 43 |
Correct |
137 ms |
16400 KB |
Output is correct |
| 44 |
Correct |
150 ms |
16460 KB |
Output is correct |
| 45 |
Correct |
171 ms |
16400 KB |
Output is correct |
| 46 |
Correct |
161 ms |
16460 KB |
Output is correct |
| 47 |
Correct |
181 ms |
16412 KB |
Output is correct |
| 48 |
Correct |
176 ms |
16404 KB |
Output is correct |
| 49 |
Correct |
210 ms |
16460 KB |
Output is correct |
| 50 |
Correct |
203 ms |
16340 KB |
Output is correct |
| 51 |
Correct |
222 ms |
16416 KB |
Output is correct |
| 52 |
Correct |
200 ms |
16460 KB |
Output is correct |
| 53 |
Correct |
163 ms |
16340 KB |
Output is correct |
| 54 |
Correct |
184 ms |
16400 KB |
Output is correct |
| 55 |
Correct |
187 ms |
16396 KB |
Output is correct |
| 56 |
Correct |
160 ms |
16400 KB |
Output is correct |
| 57 |
Correct |
189 ms |
16400 KB |
Output is correct |
| 58 |
Correct |
187 ms |
16340 KB |
Output is correct |
| 59 |
Correct |
191 ms |
16400 KB |
Output is correct |
| 60 |
Correct |
188 ms |
16332 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Execution timed out |
2626 ms |
996520 KB |
Time limit exceeded |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
8148 KB |
Output is correct |
| 2 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 3 |
Correct |
7 ms |
8148 KB |
Output is correct |
| 4 |
Correct |
5 ms |
8148 KB |
Output is correct |
| 5 |
Execution timed out |
2630 ms |
996492 KB |
Time limit exceeded |
| 6 |
Halted |
0 ms |
0 KB |
- |
