#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define db double
#define ll __int128
//#define int long long
#define pb push_back
#define fs first
#define sd second
#define Mod long(1e9 + 7)
#define all(x) x.begin(), x.end()
#define unvisited long(-1)
#define Eps double(1e-9)
#define _for(i, n) for(int i = 0; i < (n); i++)
#define dbg(x) cout << #x ": " << x << endl;
const int Max = 1e6 + 7, Inf = 1e9 + 7;
void print(bool x) { cout << (x ? "YES" : "NO") << endl; }
string tostring (__int128 x)
{
string ans = "";
while(x > 0)
{
ans += (x % 10 + '0');
x /= 10;
}
reverse(all(ans));
return ans;
}
void printdb(double ans, int k)
{
cout << setiosflags(ios::fixed)
<< setiosflags(ios::showpoint)
<< setprecision(k) << ans << endl;
}
int n, m; vector <pair<db, db>> v;
double f(db l)
{
vector <vector<vector<db>>> dp(n + 2, vector <vector<db>> (
m + 2, vector <db> (m + 2, Inf)
)); dp[0][1][0] = 0.000; db ans = Inf;
for(db i = 0; i < n; i++)
{
for(db j = 1; j <= l; j++)
{
for(db k = 0; k <= m; k++)
{
dp[i+1][j][k] = min(dp[i+1][j][k], dp[i][j][k]);
dp[i+1][j][k+1] = min(dp[i+1][j][k+1], dp[i][j][k] + v[i].sd / l);
if(v[i].fs != Inf)
{
dp[i+1][j+1][k+1] = min(dp[i+1][j+1][k+1], dp[i][j][k] + v[i].fs / j);
}
}
}
ans = min(ans, dp[i+1][l][m]);
}
return ans;
}
double ternary_search(double l, double r)
{
double eps = 1e-9, ans = Inf; //set the error limit here
while (r - l > eps)
{
double m1 = l + (r - l) / 3;
double m2 = r - (r - l) / 3;
double f1 = f((long) m1); //evaluates the function at m1
double f2 = f((long) m2); //evaluates the function at m2
//cout << l << " " << r << " " << m1 << " " << (int) f1 << " " << m2 << " " << (int) f2 << endl;
ans = min(ans, min(f1, f2));
if (f1 > f2)
l = m1;
else
r = m2;
}
// printdb(ans, 6);
return ans; //return the min of f(x) in [l, r]
}
void solve()
{
cin >> n >> m;
v.assign(n, { 0, 0 });
for(auto& u : v)
{
cin >> u.sd >> u.fs;
if(u.fs == -1) u.fs = Inf;
}
sort(all(v)); //printdb(f(2.0), 5);
printdb(ternary_search(1, m), 5);
}
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int Q = 1; //cin >> Q;
while (Q--)
{
solve();
}
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
2543 ms |
1002828 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |