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Submission #527066

# Submission time Handle Problem Language Result Execution time Memory
527066 2022-02-16T21:39:30 Z couplefire Let's Win the Election (JOI22_ho_t3) C++17
100 / 100
 15 ms 2404 KB 
#include <bits/stdc++.h>
using namespace std;
#define pii pair<int, int>
#define f first
#define s second

const int N = 505;
const int INF = 0x3f3f3f3f;

int n, k;
pii a[N];
double dp[N][N];

double s(int mid){
    for(int i = 1; i<=n; ++i)
        for(int j = 0; j<=i; ++j)
            dp[i][j] = min(dp[i-1][j]+(i-1-j>=mid?0:(.0+a[i].s)/(.0+i-j)), (j>=1?dp[i-1][j-1]+(.0+a[i].f)/(.0+mid+1):INF));
    double ans = INF;
    for(int i = k-mid; i<=n; ++i)
        if(n-i>=mid) ans = min(ans, dp[n][i]);
    return ans;
}

int main(){
    cin.tie(0)->sync_with_stdio(0);
    cout << setprecision(12) << fixed;
    cin >> n >> k;
    for(int i = 1; i<=n; ++i)
        cin >> a[i].f >> a[i].s;
    int mx = 0;
    for(int i = 1; i<=n; ++i)
        if(a[i].s==-1) a[i].s = INF;
        else ++mx;
    sort(a+1, a+1+n, [&](pii a, pii b){return a.s<b.s;});
    int lo = 0, hi = min(k, mx);
    while(lo<hi){
        int mid = (lo+hi)>>1;
        if(s(mid)<=s(mid+1)) hi = mid;
        else lo = mid+1;
    } cout << s(lo) << '\n';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 2252 KB Output is correct
6 Correct 1 ms 2252 KB Output is correct
7 Correct 2 ms 2252 KB Output is correct
8 Correct 2 ms 2252 KB Output is correct
9 Correct 1 ms 2252 KB Output is correct
10 Correct 1 ms 2252 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 2252 KB Output is correct
6 Correct 1 ms 2252 KB Output is correct
7 Correct 2 ms 2252 KB Output is correct
8 Correct 2 ms 2252 KB Output is correct
9 Correct 1 ms 2252 KB Output is correct
10 Correct 1 ms 2252 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 8 ms 2252 KB Output is correct
13 Correct 7 ms 2252 KB Output is correct
14 Correct 6 ms 2252 KB Output is correct
15 Correct 11 ms 2300 KB Output is correct
16 Correct 11 ms 2252 KB Output is correct
17 Correct 9 ms 2296 KB Output is correct
18 Correct 13 ms 2296 KB Output is correct
19 Correct 12 ms 2252 KB Output is correct
20 Correct 7 ms 2252 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 0 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 0 ms 332 KB Output is correct
22 Correct 0 ms 332 KB Output is correct
23 Correct 0 ms 332 KB Output is correct
24 Correct 0 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 0 ms 332 KB Output is correct
34 Correct 0 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 0 ms 332 KB Output is correct
38 Correct 0 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 332 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 0 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 0 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 0 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 0 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 0 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 0 ms 332 KB Output is correct
22 Correct 0 ms 332 KB Output is correct
23 Correct 0 ms 332 KB Output is correct
24 Correct 0 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 0 ms 332 KB Output is correct
34 Correct 0 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 0 ms 332 KB Output is correct
38 Correct 0 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 1 ms 716 KB Output is correct
42 Correct 1 ms 588 KB Output is correct
43 Correct 1 ms 588 KB Output is correct
44 Correct 2 ms 588 KB Output is correct
45 Correct 1 ms 588 KB Output is correct
46 Correct 1 ms 588 KB Output is correct
47 Correct 1 ms 716 KB Output is correct
48 Correct 1 ms 716 KB Output is correct
49 Correct 1 ms 588 KB Output is correct
50 Correct 1 ms 588 KB Output is correct
51 Correct 1 ms 716 KB Output is correct
52 Correct 1 ms 588 KB Output is correct
53 Correct 1 ms 588 KB Output is correct
54 Correct 1 ms 588 KB Output is correct
55 Correct 1 ms 588 KB Output is correct
56 Correct 1 ms 588 KB Output is correct
57 Correct 1 ms 716 KB Output is correct
58 Correct 1 ms 716 KB Output is correct
59 Correct 1 ms 716 KB Output is correct
60 Correct 1 ms 588 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 2300 KB Output is correct
2 Correct 12 ms 2252 KB Output is correct
3 Correct 14 ms 2252 KB Output is correct
4 Correct 15 ms 2300 KB Output is correct
5 Correct 12 ms 2252 KB Output is correct
6 Correct 12 ms 2252 KB Output is correct
7 Correct 11 ms 2296 KB Output is correct

Subtask #7
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 2252 KB Output is correct
6 Correct 1 ms 2252 KB Output is correct
7 Correct 2 ms 2252 KB Output is correct
8 Correct 2 ms 2252 KB Output is correct
9 Correct 1 ms 2252 KB Output is correct
10 Correct 1 ms 2252 KB Output is correct
11 Correct 0 ms 204 KB Output is correct
12 Correct 8 ms 2252 KB Output is correct
13 Correct 7 ms 2252 KB Output is correct
14 Correct 6 ms 2252 KB Output is correct
15 Correct 11 ms 2300 KB Output is correct
16 Correct 11 ms 2252 KB Output is correct
17 Correct 9 ms 2296 KB Output is correct
18 Correct 13 ms 2296 KB Output is correct
19 Correct 12 ms 2252 KB Output is correct
20 Correct 7 ms 2252 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 0 ms 332 KB Output is correct
23 Correct 0 ms 332 KB Output is correct
24 Correct 0 ms 332 KB Output is correct
25 Correct 0 ms 332 KB Output is correct
26 Correct 0 ms 332 KB Output is correct
27 Correct 0 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 0 ms 332 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 332 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 0 ms 332 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 0 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 0 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 0 ms 332 KB Output is correct
42 Correct 0 ms 332 KB Output is correct
43 Correct 0 ms 332 KB Output is correct
44 Correct 0 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 1 ms 332 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 332 KB Output is correct
51 Correct 1 ms 332 KB Output is correct
52 Correct 1 ms 332 KB Output is correct
53 Correct 0 ms 332 KB Output is correct
54 Correct 0 ms 332 KB Output is correct
55 Correct 1 ms 332 KB Output is correct
56 Correct 1 ms 332 KB Output is correct
57 Correct 0 ms 332 KB Output is correct
58 Correct 0 ms 332 KB Output is correct
59 Correct 1 ms 332 KB Output is correct
60 Correct 1 ms 332 KB Output is correct
61 Correct 1 ms 716 KB Output is correct
62 Correct 1 ms 588 KB Output is correct
63 Correct 1 ms 588 KB Output is correct
64 Correct 2 ms 588 KB Output is correct
65 Correct 1 ms 588 KB Output is correct
66 Correct 1 ms 588 KB Output is correct
67 Correct 1 ms 716 KB Output is correct
68 Correct 1 ms 716 KB Output is correct
69 Correct 1 ms 588 KB Output is correct
70 Correct 1 ms 588 KB Output is correct
71 Correct 1 ms 716 KB Output is correct
72 Correct 1 ms 588 KB Output is correct
73 Correct 1 ms 588 KB Output is correct
74 Correct 1 ms 588 KB Output is correct
75 Correct 1 ms 588 KB Output is correct
76 Correct 1 ms 588 KB Output is correct
77 Correct 1 ms 716 KB Output is correct
78 Correct 1 ms 716 KB Output is correct
79 Correct 1 ms 716 KB Output is correct
80 Correct 1 ms 588 KB Output is correct
81 Correct 12 ms 2300 KB Output is correct
82 Correct 12 ms 2252 KB Output is correct
83 Correct 14 ms 2252 KB Output is correct
84 Correct 15 ms 2300 KB Output is correct
85 Correct 12 ms 2252 KB Output is correct
86 Correct 12 ms 2252 KB Output is correct
87 Correct 11 ms 2296 KB Output is correct
88 Correct 8 ms 2300 KB Output is correct
89 Correct 6 ms 2252 KB Output is correct
90 Correct 8 ms 2252 KB Output is correct
91 Correct 8 ms 2300 KB Output is correct
92 Correct 9 ms 2404 KB Output is correct
93 Correct 13 ms 2296 KB Output is correct
94 Correct 10 ms 2296 KB Output is correct
95 Correct 11 ms 2296 KB Output is correct
96 Correct 13 ms 2252 KB Output is correct
97 Correct 12 ms 2252 KB Output is correct
98 Correct 8 ms 2252 KB Output is correct
99 Correct 8 ms 2300 KB Output is correct
100 Correct 9 ms 2300 KB Output is correct
101 Correct 10 ms 2300 KB Output is correct
102 Correct 11 ms 2296 KB Output is correct
103 Correct 13 ms 2252 KB Output is correct
104 Correct 14 ms 2256 KB Output is correct
105 Correct 9 ms 2256 KB Output is correct