Submission #871866

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
871866	2023-11-11T18:16:14 Z	HorizonWest	Let's Win the Election (JOI22_ho_t3)	C++17	61 / 100	2500 ms	1002808 KB

Main

#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); 
 
    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; 
    for(db l = max(1, fx-10); l <= min(fx + 10, m); 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 temp = ans; 
        
        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]); 
        }
      
  		if(ans == temp) break; 
    }
 
    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;
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	11 ms	12120 KB	Output is correct
6	Correct	59 ms	65900 KB	Output is correct
7	Correct	238 ms	255512 KB	Output is correct
8	Correct	503 ms	565856 KB	Output is correct
9	Correct	822 ms	1002584 KB	Output is correct
10	Correct	429 ms	495168 KB	Output is correct

Subtask #2
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	11 ms	12120 KB	Output is correct
6	Correct	59 ms	65900 KB	Output is correct
7	Correct	238 ms	255512 KB	Output is correct
8	Correct	503 ms	565856 KB	Output is correct
9	Correct	822 ms	1002584 KB	Output is correct
10	Correct	429 ms	495168 KB	Output is correct
11	Correct	0 ms	344 KB	Output is correct
12	Correct	923 ms	94628 KB	Output is correct
13	Correct	813 ms	94716 KB	Output is correct
14	Correct	648 ms	94624 KB	Output is correct
15	Execution timed out	2592 ms	495576 KB	Time limit exceeded
16	Halted	0 ms	0 KB	-

Subtask #3
11.0 / 11.0

#	Verdict	Memory	Grader output
1	Correct	344 KB	Output is correct
2	Correct	348 KB	Output is correct
3	Correct	348 KB	Output is correct
4	Correct	348 KB	Output is correct
5	Correct	348 KB	Output is correct
6	Correct	348 KB	Output is correct
7	Correct	348 KB	Output is correct
8	Correct	348 KB	Output is correct
9	Correct	348 KB	Output is correct
10	Correct	348 KB	Output is correct
11	Correct	348 KB	Output is correct
12	Correct	348 KB	Output is correct
13	Correct	348 KB	Output is correct
14	Correct	348 KB	Output is correct
15	Correct	348 KB	Output is correct

Subtask #4
12.0 / 12.0

#	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	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	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	1 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	1 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	0 ms	344 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	1 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	344 KB	Output is correct
30	Correct	1 ms	348 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	1 ms	344 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	1 ms	348 KB	Output is correct
35	Correct	1 ms	348 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	344 KB	Output is correct
39	Correct	1 ms	348 KB	Output is correct
40	Correct	0 ms	348 KB	Output is correct

Subtask #5
33.0 / 33.0

#	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	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	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	1 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	1 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	0 ms	344 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	1 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	344 KB	Output is correct
30	Correct	1 ms	348 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	1 ms	344 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	1 ms	348 KB	Output is correct
35	Correct	1 ms	348 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	344 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	716 KB	Output is correct
42	Correct	2 ms	732 KB	Output is correct
43	Correct	4 ms	1372 KB	Output is correct
44	Correct	8 ms	1660 KB	Output is correct
45	Correct	17 ms	2876 KB	Output is correct
46	Correct	14 ms	2868 KB	Output is correct
47	Correct	22 ms	4380 KB	Output is correct
48	Correct	26 ms	4288 KB	Output is correct
49	Correct	51 ms	6240 KB	Output is correct
50	Correct	43 ms	6308 KB	Output is correct
51	Correct	89 ms	9336 KB	Output is correct
52	Correct	90 ms	9300 KB	Output is correct
53	Correct	17 ms	4348 KB	Output is correct
54	Correct	22 ms	4368 KB	Output is correct
55	Correct	28 ms	4324 KB	Output is correct
56	Correct	18 ms	4344 KB	Output is correct
57	Correct	33 ms	4388 KB	Output is correct
58	Correct	21 ms	4364 KB	Output is correct
59	Correct	28 ms	4492 KB	Output is correct
60	Correct	19 ms	4472 KB	Output is correct

Subtask #6
0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	2621 ms	1002808 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #7
0 / 23.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	11 ms	12120 KB	Output is correct
6	Correct	59 ms	65900 KB	Output is correct
7	Correct	238 ms	255512 KB	Output is correct
8	Correct	503 ms	565856 KB	Output is correct
9	Correct	822 ms	1002584 KB	Output is correct
10	Correct	429 ms	495168 KB	Output is correct
11	Correct	0 ms	344 KB	Output is correct
12	Correct	923 ms	94628 KB	Output is correct
13	Correct	813 ms	94716 KB	Output is correct
14	Correct	648 ms	94624 KB	Output is correct
15	Execution timed out	2592 ms	495576 KB	Time limit exceeded
16	Halted	0 ms	0 KB	-

Submission #871866

Compilation message

Subtask #1 5.0 / 5.0

Subtask #2 0 / 5.0

Subtask #3 11.0 / 11.0

Subtask #4 12.0 / 12.0

Subtask #5 33.0 / 33.0

Subtask #6 0 / 11.0

Subtask #7 0 / 23.0

Subtask #1
5.0 / 5.0

Subtask #2
0 / 5.0

Subtask #3
11.0 / 11.0

Subtask #4
12.0 / 12.0

Subtask #5
33.0 / 33.0

Subtask #6
0 / 11.0

Subtask #7
0 / 23.0