#include <bits/stdc++.h>
using namespace std;
#define int ll
#define FOR(i,s,e) for(ll i = s; i <= (ll)e; ++i)
#define DEC(i,s,e) for(ll i = s; i >= (ll)e; --i)
#define IAMSPEED ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
#define db(x) cerr << #x << "=" << x << "\n"
#define db2(x, y) cerr << #x << "=" << x << " , " << #y << "=" << y << "\n"
#define db3(a,b,c) cerr<<#a<<"="<<a<<","<<#b<<"="<<b<<","<<#c<<"="<<c<<"\n"
#define dbv(v) cerr << #v << ":"; for (auto ite : v) cerr << ite << ' '; cerr <<"\n"
#define dbvp(v) cerr << #v << ":"; for (auto ite : v) cerr << "{" << ite.f << ',' << ite.s << "} "; cerr << "\n"
#define dba(a,ss,ee) cerr << #a << ":"; FOR(ite,ss,ee) cerr << a[ite] << ' '; cerr << "\n"
#define reach cerr << "LINE: " << __LINE__ << "\n";
#else
#define db(x)
#define db2(x,y)
#define db3(a,b,c)
#define dbv(v)
#define dbvp(v)
#define dba(a,ss,ee)
#define reach
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define ll long long
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define f first
#define s second
#define g0(x) get<0>(x)
#define g1(x) get<1>(x)
#define g2(x) get<2>(x)
#define g3(x) get<3>(x)
typedef pair <ll, ll> pi;
typedef tuple<ll,ll,ll> ti3;
typedef tuple<ll,ll,ll,ll> ti4;
ll rand(ll a, ll b) { return a + rng() % (b-a+1); }
const int MOD = 1e9 + 7;
const int inf = (int)1e9 + 500;
const long long oo = (ll)1e18 + 500;
template <typename T> void chmax(T& a, const T b) { a=max(a,b); }
template <typename T> void chmin(T& a, const T b) { a=min(a,b); }
const int MAXN = 505;
int n,k;
pi A[MAXN];
double dp[MAXN][MAXN]; // dp[index][no. of votes]
int32_t main()
{
IAMSPEED
cin >> n >> k;
FOR(i,1,n) cin >> A[i].f >> A[i].s;
int cc = 0;
FOR(i,1,n) {
if(A[i].s == -1) A[i].s = oo;
else ++cc;
}
sort(A+1,A+n+1,[](pi a, pi b) {
return a.s < b.s;
});
FOR(i,1,n) {
db2(A[i].f, A[i].s);
}
double ans = oo;
FOR(m,0,min(cc,k)) { //number of extra collaborators. no empties until i get m collaborators.
FOR(i,0,n) {
FOR(j,0,n) dp[i][j] = oo;
}
dp[0][0] = 0;
FOR(i,1,n) {
FOR(j,0,k-m) { // number pure votes
int f = i - j;
if(j)chmin(dp[i][j], dp[i-1][j-1] + (double)A[i].f / (double)(m+1));
if(f>=0 && f<=m)chmin(dp[i][j], dp[i-1][j] + (double)A[i].s / (double)(f));
else chmin(dp[i][j], dp[i-1][j]);
}
}
db3(n,m,dp[n][k-m]);
chmin(ans, dp[n][k-m]);
reach
}
cout << fixed << setprecision(10);
cout << ans;
}
# |
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 |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
2252 KB |
Output is correct |
6 |
Correct |
2 ms |
2248 KB |
Output is correct |
7 |
Correct |
2 ms |
2260 KB |
Output is correct |
8 |
Correct |
3 ms |
2260 KB |
Output is correct |
9 |
Correct |
2 ms |
2252 KB |
Output is correct |
10 |
Correct |
2 ms |
2260 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 |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
2252 KB |
Output is correct |
6 |
Correct |
2 ms |
2248 KB |
Output is correct |
7 |
Correct |
2 ms |
2260 KB |
Output is correct |
8 |
Correct |
3 ms |
2260 KB |
Output is correct |
9 |
Correct |
2 ms |
2252 KB |
Output is correct |
10 |
Correct |
2 ms |
2260 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
33 ms |
2244 KB |
Output is correct |
13 |
Correct |
28 ms |
2300 KB |
Output is correct |
14 |
Correct |
25 ms |
2312 KB |
Output is correct |
15 |
Correct |
106 ms |
2300 KB |
Output is correct |
16 |
Correct |
103 ms |
2260 KB |
Output is correct |
17 |
Correct |
44 ms |
2304 KB |
Output is correct |
18 |
Correct |
222 ms |
2296 KB |
Output is correct |
19 |
Correct |
171 ms |
2304 KB |
Output is correct |
20 |
Correct |
54 ms |
2300 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
332 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 |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
328 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
332 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 |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
328 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
328 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
328 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
328 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
328 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
328 KB |
Output is correct |
3 |
Correct |
1 ms |
332 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 |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
340 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
328 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
328 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 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 |
340 KB |
Output is correct |
27 |
Correct |
1 ms |
328 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
328 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
340 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
328 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
328 KB |
Output is correct |
41 |
Correct |
1 ms |
724 KB |
Output is correct |
42 |
Correct |
1 ms |
724 KB |
Output is correct |
43 |
Correct |
1 ms |
716 KB |
Output is correct |
44 |
Correct |
1 ms |
724 KB |
Output is correct |
45 |
Correct |
1 ms |
724 KB |
Output is correct |
46 |
Correct |
1 ms |
716 KB |
Output is correct |
47 |
Correct |
2 ms |
716 KB |
Output is correct |
48 |
Correct |
2 ms |
724 KB |
Output is correct |
49 |
Correct |
2 ms |
724 KB |
Output is correct |
50 |
Correct |
2 ms |
724 KB |
Output is correct |
51 |
Correct |
3 ms |
724 KB |
Output is correct |
52 |
Correct |
2 ms |
724 KB |
Output is correct |
53 |
Correct |
2 ms |
724 KB |
Output is correct |
54 |
Correct |
1 ms |
724 KB |
Output is correct |
55 |
Correct |
2 ms |
724 KB |
Output is correct |
56 |
Correct |
1 ms |
724 KB |
Output is correct |
57 |
Correct |
2 ms |
708 KB |
Output is correct |
58 |
Correct |
1 ms |
724 KB |
Output is correct |
59 |
Correct |
2 ms |
724 KB |
Output is correct |
60 |
Correct |
1 ms |
724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
213 ms |
2300 KB |
Output is correct |
2 |
Correct |
240 ms |
2300 KB |
Output is correct |
3 |
Correct |
205 ms |
2316 KB |
Output is correct |
4 |
Correct |
223 ms |
2300 KB |
Output is correct |
5 |
Correct |
255 ms |
2304 KB |
Output is correct |
6 |
Correct |
211 ms |
2296 KB |
Output is correct |
7 |
Correct |
234 ms |
2300 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 |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
2 ms |
2252 KB |
Output is correct |
6 |
Correct |
2 ms |
2248 KB |
Output is correct |
7 |
Correct |
2 ms |
2260 KB |
Output is correct |
8 |
Correct |
3 ms |
2260 KB |
Output is correct |
9 |
Correct |
2 ms |
2252 KB |
Output is correct |
10 |
Correct |
2 ms |
2260 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
33 ms |
2244 KB |
Output is correct |
13 |
Correct |
28 ms |
2300 KB |
Output is correct |
14 |
Correct |
25 ms |
2312 KB |
Output is correct |
15 |
Correct |
106 ms |
2300 KB |
Output is correct |
16 |
Correct |
103 ms |
2260 KB |
Output is correct |
17 |
Correct |
44 ms |
2304 KB |
Output is correct |
18 |
Correct |
222 ms |
2296 KB |
Output is correct |
19 |
Correct |
171 ms |
2304 KB |
Output is correct |
20 |
Correct |
54 ms |
2300 KB |
Output is correct |
21 |
Correct |
0 ms |
340 KB |
Output is correct |
22 |
Correct |
1 ms |
328 KB |
Output is correct |
23 |
Correct |
1 ms |
332 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 |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
340 KB |
Output is correct |
32 |
Correct |
1 ms |
384 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
1 ms |
328 KB |
Output is correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
340 KB |
Output is correct |
39 |
Correct |
1 ms |
340 KB |
Output is correct |
40 |
Correct |
1 ms |
328 KB |
Output is correct |
41 |
Correct |
1 ms |
340 KB |
Output is correct |
42 |
Correct |
1 ms |
340 KB |
Output is correct |
43 |
Correct |
1 ms |
340 KB |
Output is correct |
44 |
Correct |
1 ms |
340 KB |
Output is correct |
45 |
Correct |
1 ms |
340 KB |
Output is correct |
46 |
Correct |
1 ms |
340 KB |
Output is correct |
47 |
Correct |
1 ms |
328 KB |
Output is correct |
48 |
Correct |
1 ms |
340 KB |
Output is correct |
49 |
Correct |
1 ms |
340 KB |
Output is correct |
50 |
Correct |
1 ms |
340 KB |
Output is correct |
51 |
Correct |
1 ms |
328 KB |
Output is correct |
52 |
Correct |
1 ms |
340 KB |
Output is correct |
53 |
Correct |
1 ms |
340 KB |
Output is correct |
54 |
Correct |
1 ms |
340 KB |
Output is correct |
55 |
Correct |
1 ms |
340 KB |
Output is correct |
56 |
Correct |
1 ms |
340 KB |
Output is correct |
57 |
Correct |
1 ms |
328 KB |
Output is correct |
58 |
Correct |
1 ms |
340 KB |
Output is correct |
59 |
Correct |
1 ms |
340 KB |
Output is correct |
60 |
Correct |
1 ms |
328 KB |
Output is correct |
61 |
Correct |
1 ms |
724 KB |
Output is correct |
62 |
Correct |
1 ms |
724 KB |
Output is correct |
63 |
Correct |
1 ms |
716 KB |
Output is correct |
64 |
Correct |
1 ms |
724 KB |
Output is correct |
65 |
Correct |
1 ms |
724 KB |
Output is correct |
66 |
Correct |
1 ms |
716 KB |
Output is correct |
67 |
Correct |
2 ms |
716 KB |
Output is correct |
68 |
Correct |
2 ms |
724 KB |
Output is correct |
69 |
Correct |
2 ms |
724 KB |
Output is correct |
70 |
Correct |
2 ms |
724 KB |
Output is correct |
71 |
Correct |
3 ms |
724 KB |
Output is correct |
72 |
Correct |
2 ms |
724 KB |
Output is correct |
73 |
Correct |
2 ms |
724 KB |
Output is correct |
74 |
Correct |
1 ms |
724 KB |
Output is correct |
75 |
Correct |
2 ms |
724 KB |
Output is correct |
76 |
Correct |
1 ms |
724 KB |
Output is correct |
77 |
Correct |
2 ms |
708 KB |
Output is correct |
78 |
Correct |
1 ms |
724 KB |
Output is correct |
79 |
Correct |
2 ms |
724 KB |
Output is correct |
80 |
Correct |
1 ms |
724 KB |
Output is correct |
81 |
Correct |
213 ms |
2300 KB |
Output is correct |
82 |
Correct |
240 ms |
2300 KB |
Output is correct |
83 |
Correct |
205 ms |
2316 KB |
Output is correct |
84 |
Correct |
223 ms |
2300 KB |
Output is correct |
85 |
Correct |
255 ms |
2304 KB |
Output is correct |
86 |
Correct |
211 ms |
2296 KB |
Output is correct |
87 |
Correct |
234 ms |
2300 KB |
Output is correct |
88 |
Correct |
8 ms |
2260 KB |
Output is correct |
89 |
Correct |
8 ms |
2320 KB |
Output is correct |
90 |
Correct |
24 ms |
2320 KB |
Output is correct |
91 |
Correct |
35 ms |
2260 KB |
Output is correct |
92 |
Correct |
66 ms |
2312 KB |
Output is correct |
93 |
Correct |
62 ms |
2296 KB |
Output is correct |
94 |
Correct |
125 ms |
2296 KB |
Output is correct |
95 |
Correct |
140 ms |
2260 KB |
Output is correct |
96 |
Correct |
209 ms |
2368 KB |
Output is correct |
97 |
Correct |
167 ms |
2316 KB |
Output is correct |
98 |
Correct |
127 ms |
2260 KB |
Output is correct |
99 |
Correct |
117 ms |
2300 KB |
Output is correct |
100 |
Correct |
107 ms |
2312 KB |
Output is correct |
101 |
Correct |
107 ms |
2316 KB |
Output is correct |
102 |
Correct |
108 ms |
2304 KB |
Output is correct |
103 |
Correct |
111 ms |
2260 KB |
Output is correct |
104 |
Correct |
106 ms |
2296 KB |
Output is correct |
105 |
Correct |
109 ms |
2300 KB |
Output is correct |