Submission #962936

# Submission time Handle Problem Language Result Execution time Memory
962936 2024-04-14T09:57:27 Z RaresFelix Let's Win the Election (JOI22_ho_t3) C++17
100 / 100
1022 ms 4540 KB
#include <bits/stdc++.h>
//#pragma GCC optimize("O3")
//#pragma GCC target("avx,avx2,fma")

#define sz(x) int((x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()

using namespace std;
using ll = long long;
using ld = long double;  // or double, if TL is tight
using str = string; 
using ii = pair<int, int>;
using pl = pair<ll, ll>;
using vi = vector<int>;
using vll = vector<ll>;


int main() {
    cin.tie(0);
    ios_base::sync_with_stdio(0);
    int n, k;
    cin >> n >> k;
    vector<ii> V(n);
    for(int i = 0; i < n; ++i) {
        cin >> V[i].first >> V[i].second;
        if(V[i].second == -1) V[i].second = 1e9;
    }
    sort(all(V), [&](auto a, auto b) {
            if(a.second != b.second) return a.second < b.second;
            return a < b;
    });
    vi A(n), B(n);
    for(int i = 0; i < n; ++i) {
        A[i] = V[i].first;
        B[i] = V[i].second;
    }
    
    const ld INF = 1e18;
    vector<vector<ld> > DP(n, vector<ld>(k + 1, INF));
    ld re = INF;
    for(int nr = 0; nr <= k; ++nr) { /// cati b aleg
        for(int i = 0; i < n; ++i)
            for(int j = 0; j <= k; ++j) DP[i][j] = INF;
        ///DP[i][j] : 0...i alegand j A-uri
        ld fact = 1. / ld(nr + 1);
        if(nr)
            DP[0][0] = B[0];
        else DP[0][0] = 0.;
        DP[0][1] = A[0] * fact;
        for(int i = 0; i + 1 < n; ++i) {
            for(int j = 0; j <= min(i + 1, k - nr); ++j) {
                int curB = i + 1 - j;
                if(curB >= nr) {
                    DP[i + 1][j] = min(DP[i + 1][j], DP[i][j]); /// nu aleg nimic
                }
                ///aleg A
                if(j + 1 <= k)
                    DP[i + 1][j + 1] = min(DP[i + 1][j + 1], DP[i][j] + A[i + 1] * fact);
                ///aleg B
                if(curB < nr) {
                    DP[i + 1][j] = min(DP[i + 1][j], DP[i][j] + ld(B[i + 1]) / ld(curB + 1));
                }
            }
        }
        re = min(re, DP[n - 1][k - nr]);
    }
    cout << fixed << setprecision(10) << re << "\n";
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 464 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 13 ms 856 KB Output is correct
6 Correct 74 ms 1368 KB Output is correct
7 Correct 274 ms 2436 KB Output is correct
8 Correct 566 ms 3420 KB Output is correct
9 Correct 969 ms 4388 KB Output is correct
10 Correct 506 ms 3216 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 464 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 13 ms 856 KB Output is correct
6 Correct 74 ms 1368 KB Output is correct
7 Correct 274 ms 2436 KB Output is correct
8 Correct 566 ms 3420 KB Output is correct
9 Correct 969 ms 4388 KB Output is correct
10 Correct 506 ms 3216 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 113 ms 1644 KB Output is correct
13 Correct 101 ms 1652 KB Output is correct
14 Correct 107 ms 1644 KB Output is correct
15 Correct 510 ms 3216 KB Output is correct
16 Correct 531 ms 3212 KB Output is correct
17 Correct 502 ms 3216 KB Output is correct
18 Correct 999 ms 4408 KB Output is correct
19 Correct 987 ms 4392 KB Output is correct
20 Correct 975 ms 4396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB Output is correct
2 Correct 1 ms 456 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 448 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB Output is correct
2 Correct 1 ms 456 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 448 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 500 KB Output is correct
17 Correct 1 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 348 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 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 1 ms 352 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 1 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 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 504 KB Output is correct
2 Correct 1 ms 456 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 448 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 500 KB Output is correct
17 Correct 1 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 348 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 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 1 ms 352 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 344 KB Output is correct
36 Correct 1 ms 344 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 3 ms 348 KB Output is correct
46 Correct 3 ms 348 KB Output is correct
47 Correct 4 ms 344 KB Output is correct
48 Correct 5 ms 560 KB Output is correct
49 Correct 6 ms 348 KB Output is correct
50 Correct 6 ms 348 KB Output is correct
51 Correct 9 ms 604 KB Output is correct
52 Correct 8 ms 604 KB Output is correct
53 Correct 6 ms 600 KB Output is correct
54 Correct 6 ms 348 KB Output is correct
55 Correct 4 ms 348 KB Output is correct
56 Correct 4 ms 452 KB Output is correct
57 Correct 4 ms 348 KB Output is correct
58 Correct 4 ms 348 KB Output is correct
59 Correct 4 ms 348 KB Output is correct
60 Correct 4 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1004 ms 4540 KB Output is correct
2 Correct 1022 ms 4392 KB Output is correct
3 Correct 959 ms 4392 KB Output is correct
4 Correct 979 ms 4388 KB Output is correct
5 Correct 972 ms 4388 KB Output is correct
6 Correct 988 ms 4392 KB Output is correct
7 Correct 976 ms 4392 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 464 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 13 ms 856 KB Output is correct
6 Correct 74 ms 1368 KB Output is correct
7 Correct 274 ms 2436 KB Output is correct
8 Correct 566 ms 3420 KB Output is correct
9 Correct 969 ms 4388 KB Output is correct
10 Correct 506 ms 3216 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 113 ms 1644 KB Output is correct
13 Correct 101 ms 1652 KB Output is correct
14 Correct 107 ms 1644 KB Output is correct
15 Correct 510 ms 3216 KB Output is correct
16 Correct 531 ms 3212 KB Output is correct
17 Correct 502 ms 3216 KB Output is correct
18 Correct 999 ms 4408 KB Output is correct
19 Correct 987 ms 4392 KB Output is correct
20 Correct 975 ms 4396 KB Output is correct
21 Correct 1 ms 504 KB Output is correct
22 Correct 1 ms 456 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 448 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 1 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 1 ms 500 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 1 ms 348 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 344 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 1 ms 352 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
51 Correct 1 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 0 ms 348 KB Output is correct
54 Correct 0 ms 348 KB Output is correct
55 Correct 0 ms 344 KB Output is correct
56 Correct 1 ms 344 KB Output is correct
57 Correct 1 ms 348 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 1 ms 348 KB Output is correct
62 Correct 1 ms 344 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 348 KB Output is correct
65 Correct 3 ms 348 KB Output is correct
66 Correct 3 ms 348 KB Output is correct
67 Correct 4 ms 344 KB Output is correct
68 Correct 5 ms 560 KB Output is correct
69 Correct 6 ms 348 KB Output is correct
70 Correct 6 ms 348 KB Output is correct
71 Correct 9 ms 604 KB Output is correct
72 Correct 8 ms 604 KB Output is correct
73 Correct 6 ms 600 KB Output is correct
74 Correct 6 ms 348 KB Output is correct
75 Correct 4 ms 348 KB Output is correct
76 Correct 4 ms 452 KB Output is correct
77 Correct 4 ms 348 KB Output is correct
78 Correct 4 ms 348 KB Output is correct
79 Correct 4 ms 348 KB Output is correct
80 Correct 4 ms 348 KB Output is correct
81 Correct 1004 ms 4540 KB Output is correct
82 Correct 1022 ms 4392 KB Output is correct
83 Correct 959 ms 4392 KB Output is correct
84 Correct 979 ms 4388 KB Output is correct
85 Correct 972 ms 4388 KB Output is correct
86 Correct 988 ms 4392 KB Output is correct
87 Correct 976 ms 4392 KB Output is correct
88 Correct 15 ms 860 KB Output is correct
89 Correct 13 ms 856 KB Output is correct
90 Correct 72 ms 1372 KB Output is correct
91 Correct 71 ms 1368 KB Output is correct
92 Correct 290 ms 2432 KB Output is correct
93 Correct 280 ms 2428 KB Output is correct
94 Correct 587 ms 3420 KB Output is correct
95 Correct 571 ms 3416 KB Output is correct
96 Correct 790 ms 3932 KB Output is correct
97 Correct 797 ms 4000 KB Output is correct
98 Correct 520 ms 3164 KB Output is correct
99 Correct 517 ms 3220 KB Output is correct
100 Correct 514 ms 3216 KB Output is correct
101 Correct 534 ms 3220 KB Output is correct
102 Correct 511 ms 3220 KB Output is correct
103 Correct 520 ms 3224 KB Output is correct
104 Correct 531 ms 3004 KB Output is correct
105 Correct 535 ms 3212 KB Output is correct