#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
#define db double
#define ll __int128
#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;
}
pair <db, db> fmin(pair<db, db> a, pair <db, db> b, db j)
{
if(db(a.fs + a.sd / j) < db(b.fs + b.sd / j))
return a;
else
return b;
}
int prec(vector <pair<db, db>> a, vector <pair<db, db>> b, int n, int m)
{
vector <db> take(n, 1); db ans = Inf;
for(db i = 1; i <= m; i++)
{
db Z1 = 0.0, Z2 = b[i-1].fs / i; int cnt = i - 1; //cerr << b[i-1].fs << endl;
for(int j = 0; j < n; j++)
{
//cerr << a[j].fs << " ";
if(cnt == m) break;
Z1 += take[a[j].sd] * a[j].fs / i;
cnt += take[a[j].sd];
}
cnt = i; take[b[i-1].sd] = 0;
for(int j = 0; j < n; j++)
{
if(cnt == m) break;
Z2 += take[a[j].sd] * a[j].fs / (i + 1);
cnt += take[a[j].sd];
}
//cerr << Z1 << " " << Z2 << endl;
if(Z1 <= Z2) return i;
}
return m;
}
void solve()
{
int n, m; cin >> n >> m;
vector <pair<db, db>> v(n), a(n), b(n);
for(int i = 0; i < n; i++)
{
cin >> v[i].sd >> v[i].fs;
if(v[i].fs == -1) v[i].fs = Inf;
a[i].fs = v[i].sd; b[i].fs = v[i].fs;
a[i].sd = b[i].sd = i;
}
sort(all(v)); sort(all(a)); sort(all(b));
db ans = Inf; int fx = prec(a, b, n, m);
//cerr << fx << endl;
vector <vector<vector<db>>> dp(n + 2, vector <vector<db>> (
m + 2, vector <db> (m + 2, Inf)
)); dp[0][1][0] = 0.000;
for(db l =1; l <= m; l++)
{
for(db i = 0; i < n; i++)
{
for(db k = 0; k <= m; k++)
{
if(i == k)
{
for(db j = 1; j <= l; j++)
{
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);
dp[i+1][j+1][k+1] = min(dp[i+1][j+1][k+1], dp[i][j][k] + v[i].fs / j);
}
}
else
{
dp[i+1][l][k] = min(dp[i+1][l][k], dp[i][l][k]);
dp[i+1][l][k+1] = min(dp[i+1][l][k+1], dp[i][l][k] + v[i].sd / l);
}
}
ans = min(ans, dp[i+1][l][m]);
}
}
printdb(ans, 5);
}
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int Q = 1; //cin >> Q;
while (Q--)
{
solve();
}
return 0;
}
Compilation message
Main.cpp: In function 'int prec(std::vector<std::pair<double, double> >, std::vector<std::pair<double, double> >, int, int)':
Main.cpp:50:32: warning: unused variable 'ans' [-Wunused-variable]
50 | vector <db> take(n, 1); db ans = Inf;
| ^~~
Main.cpp: In function 'void solve()':
Main.cpp:96:23: warning: unused variable 'fx' [-Wunused-variable]
96 | db ans = Inf; int fx = prec(a, b, n, m);
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
14 ms |
12124 KB |
Output is correct |
6 |
Correct |
65 ms |
65976 KB |
Output is correct |
7 |
Correct |
301 ms |
255312 KB |
Output is correct |
8 |
Correct |
915 ms |
566024 KB |
Output is correct |
9 |
Correct |
2228 ms |
1002592 KB |
Output is correct |
10 |
Correct |
742 ms |
495260 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
14 ms |
12124 KB |
Output is correct |
6 |
Correct |
65 ms |
65976 KB |
Output is correct |
7 |
Correct |
301 ms |
255312 KB |
Output is correct |
8 |
Correct |
915 ms |
566024 KB |
Output is correct |
9 |
Correct |
2228 ms |
1002592 KB |
Output is correct |
10 |
Correct |
742 ms |
495260 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
95 ms |
94444 KB |
Output is correct |
13 |
Correct |
93 ms |
94440 KB |
Output is correct |
14 |
Correct |
97 ms |
94548 KB |
Output is correct |
15 |
Correct |
712 ms |
495180 KB |
Output is correct |
16 |
Correct |
740 ms |
495232 KB |
Output is correct |
17 |
Correct |
721 ms |
495188 KB |
Output is correct |
18 |
Correct |
2120 ms |
1002616 KB |
Output is correct |
19 |
Correct |
2226 ms |
1002596 KB |
Output is correct |
20 |
Correct |
2302 ms |
1002580 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
600 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 |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
600 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
600 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 |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
600 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
372 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 |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
604 KB |
Output is correct |
36 |
Correct |
1 ms |
344 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
600 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 |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
0 ms |
600 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
372 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 |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
0 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 |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
1 ms |
344 KB |
Output is correct |
34 |
Correct |
0 ms |
348 KB |
Output is correct |
35 |
Correct |
1 ms |
604 KB |
Output is correct |
36 |
Correct |
1 ms |
344 KB |
Output is correct |
37 |
Correct |
1 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
0 ms |
348 KB |
Output is correct |
41 |
Correct |
1 ms |
604 KB |
Output is correct |
42 |
Correct |
1 ms |
604 KB |
Output is correct |
43 |
Correct |
1 ms |
1372 KB |
Output is correct |
44 |
Correct |
1 ms |
1372 KB |
Output is correct |
45 |
Correct |
3 ms |
2652 KB |
Output is correct |
46 |
Correct |
2 ms |
2652 KB |
Output is correct |
47 |
Correct |
4 ms |
4188 KB |
Output is correct |
48 |
Correct |
4 ms |
4188 KB |
Output is correct |
49 |
Correct |
6 ms |
6120 KB |
Output is correct |
50 |
Correct |
6 ms |
5980 KB |
Output is correct |
51 |
Correct |
10 ms |
9176 KB |
Output is correct |
52 |
Correct |
10 ms |
9052 KB |
Output is correct |
53 |
Correct |
4 ms |
4188 KB |
Output is correct |
54 |
Correct |
4 ms |
4188 KB |
Output is correct |
55 |
Correct |
4 ms |
4188 KB |
Output is correct |
56 |
Correct |
5 ms |
4300 KB |
Output is correct |
57 |
Correct |
4 ms |
4188 KB |
Output is correct |
58 |
Correct |
4 ms |
4188 KB |
Output is correct |
59 |
Correct |
4 ms |
4300 KB |
Output is correct |
60 |
Correct |
4 ms |
4184 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2222 ms |
1002848 KB |
Output is correct |
2 |
Correct |
2137 ms |
1002596 KB |
Output is correct |
3 |
Correct |
2096 ms |
1002836 KB |
Output is correct |
4 |
Correct |
2159 ms |
1002624 KB |
Output is correct |
5 |
Correct |
2355 ms |
1002604 KB |
Output is correct |
6 |
Correct |
2111 ms |
1002596 KB |
Output is correct |
7 |
Correct |
2195 ms |
1002712 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
14 ms |
12124 KB |
Output is correct |
6 |
Correct |
65 ms |
65976 KB |
Output is correct |
7 |
Correct |
301 ms |
255312 KB |
Output is correct |
8 |
Correct |
915 ms |
566024 KB |
Output is correct |
9 |
Correct |
2228 ms |
1002592 KB |
Output is correct |
10 |
Correct |
742 ms |
495260 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
95 ms |
94444 KB |
Output is correct |
13 |
Correct |
93 ms |
94440 KB |
Output is correct |
14 |
Correct |
97 ms |
94548 KB |
Output is correct |
15 |
Correct |
712 ms |
495180 KB |
Output is correct |
16 |
Correct |
740 ms |
495232 KB |
Output is correct |
17 |
Correct |
721 ms |
495188 KB |
Output is correct |
18 |
Correct |
2120 ms |
1002616 KB |
Output is correct |
19 |
Correct |
2226 ms |
1002596 KB |
Output is correct |
20 |
Correct |
2302 ms |
1002580 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
0 ms |
600 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 |
348 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
0 ms |
348 KB |
Output is correct |
31 |
Correct |
0 ms |
348 KB |
Output is correct |
32 |
Correct |
0 ms |
348 KB |
Output is correct |
33 |
Correct |
0 ms |
344 KB |
Output is correct |
34 |
Correct |
0 ms |
600 KB |
Output is correct |
35 |
Correct |
0 ms |
348 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
0 ms |
348 KB |
Output is correct |
39 |
Correct |
0 ms |
348 KB |
Output is correct |
40 |
Correct |
1 ms |
372 KB |
Output is correct |
41 |
Correct |
0 ms |
348 KB |
Output is correct |
42 |
Correct |
0 ms |
348 KB |
Output is correct |
43 |
Correct |
0 ms |
348 KB |
Output is correct |
44 |
Correct |
0 ms |
348 KB |
Output is correct |
45 |
Correct |
0 ms |
348 KB |
Output is correct |
46 |
Correct |
0 ms |
348 KB |
Output is correct |
47 |
Correct |
1 ms |
344 KB |
Output is correct |
48 |
Correct |
0 ms |
348 KB |
Output is correct |
49 |
Correct |
0 ms |
348 KB |
Output is correct |
50 |
Correct |
1 ms |
348 KB |
Output is correct |
51 |
Correct |
0 ms |
348 KB |
Output is correct |
52 |
Correct |
0 ms |
348 KB |
Output is correct |
53 |
Correct |
1 ms |
344 KB |
Output is correct |
54 |
Correct |
0 ms |
348 KB |
Output is correct |
55 |
Correct |
1 ms |
604 KB |
Output is correct |
56 |
Correct |
1 ms |
344 KB |
Output is correct |
57 |
Correct |
1 ms |
348 KB |
Output is correct |
58 |
Correct |
0 ms |
348 KB |
Output is correct |
59 |
Correct |
0 ms |
348 KB |
Output is correct |
60 |
Correct |
0 ms |
348 KB |
Output is correct |
61 |
Correct |
1 ms |
604 KB |
Output is correct |
62 |
Correct |
1 ms |
604 KB |
Output is correct |
63 |
Correct |
1 ms |
1372 KB |
Output is correct |
64 |
Correct |
1 ms |
1372 KB |
Output is correct |
65 |
Correct |
3 ms |
2652 KB |
Output is correct |
66 |
Correct |
2 ms |
2652 KB |
Output is correct |
67 |
Correct |
4 ms |
4188 KB |
Output is correct |
68 |
Correct |
4 ms |
4188 KB |
Output is correct |
69 |
Correct |
6 ms |
6120 KB |
Output is correct |
70 |
Correct |
6 ms |
5980 KB |
Output is correct |
71 |
Correct |
10 ms |
9176 KB |
Output is correct |
72 |
Correct |
10 ms |
9052 KB |
Output is correct |
73 |
Correct |
4 ms |
4188 KB |
Output is correct |
74 |
Correct |
4 ms |
4188 KB |
Output is correct |
75 |
Correct |
4 ms |
4188 KB |
Output is correct |
76 |
Correct |
5 ms |
4300 KB |
Output is correct |
77 |
Correct |
4 ms |
4188 KB |
Output is correct |
78 |
Correct |
4 ms |
4188 KB |
Output is correct |
79 |
Correct |
4 ms |
4300 KB |
Output is correct |
80 |
Correct |
4 ms |
4184 KB |
Output is correct |
81 |
Correct |
2222 ms |
1002848 KB |
Output is correct |
82 |
Correct |
2137 ms |
1002596 KB |
Output is correct |
83 |
Correct |
2096 ms |
1002836 KB |
Output is correct |
84 |
Correct |
2159 ms |
1002624 KB |
Output is correct |
85 |
Correct |
2355 ms |
1002604 KB |
Output is correct |
86 |
Correct |
2111 ms |
1002596 KB |
Output is correct |
87 |
Correct |
2195 ms |
1002712 KB |
Output is correct |
88 |
Correct |
11 ms |
12120 KB |
Output is correct |
89 |
Correct |
11 ms |
12120 KB |
Output is correct |
90 |
Correct |
79 ms |
65800 KB |
Output is correct |
91 |
Correct |
66 ms |
65788 KB |
Output is correct |
92 |
Correct |
298 ms |
255668 KB |
Output is correct |
93 |
Correct |
269 ms |
255404 KB |
Output is correct |
94 |
Correct |
921 ms |
566028 KB |
Output is correct |
95 |
Correct |
913 ms |
566032 KB |
Output is correct |
96 |
Correct |
1616 ms |
813804 KB |
Output is correct |
97 |
Correct |
1583 ms |
813908 KB |
Output is correct |
98 |
Correct |
725 ms |
495188 KB |
Output is correct |
99 |
Correct |
778 ms |
495188 KB |
Output is correct |
100 |
Correct |
724 ms |
495272 KB |
Output is correct |
101 |
Correct |
745 ms |
495264 KB |
Output is correct |
102 |
Correct |
691 ms |
495272 KB |
Output is correct |
103 |
Correct |
749 ms |
495268 KB |
Output is correct |
104 |
Correct |
781 ms |
495488 KB |
Output is correct |
105 |
Correct |
749 ms |
495268 KB |
Output is correct |