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Submission #831134

# Submission time Handle Problem Language Result Execution time Memory
831134 2023-08-19T19:21:04 Z jasmin Self Study (JOI22_ho_t2) C++17
100 / 100
 211 ms 11588 KB 
//JOI 2022 Final round
#include<bits/stdc++.h>
using namespace std;
#define int long long

const int INF=1e18;
const int LM = LLONG_MAX;

bool possible(int x, int n, int m, vector<int>& a, vector<int>& b){
    
    int d=0;
    for(int i=0; i<n; i++){

        if(a[i] > b[i]){

            int da = (x+a[i]-1)/a[i];
            int db = 0;
            
            if(da > m){
                da = m;

                int x2 = x - (da*a[i]);
                assert(0<x2);
                db = (x2 + b[i]-1)/b[i];
            }
    
            if(LM-da < d) return false;
            d += da;

            if(LM-db < d) return false;
            d += db;

        }
        else{

            int db = (x+b[i] -1)/b[i];

            if(LM-db < d) return false;
            d += db;
        }

    }

    assert(0<d);
    return d <= (n*m);
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    int n, m;
    cin >> n >> m;
    vector<int> a(n);
    for(int i=0; i<n; i++){
        cin >> a[i];
    }
    vector<int> b(n);
    for(int i=0; i<n; i++){
        cin >> b[i];
    }

    int l=1; int r=INF;
    int ans=1;
    while(l <= r ){
        int mi=l+(r-l)/2;

        if(possible(mi, n, m, a, b)){

            ans=mi;
            l=mi+1;
        }
        else{

            r=mi-1;
        }
    }

    cout << ans << "\n";
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 300 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 3 ms 392 KB Output is correct
11 Correct 176 ms 4984 KB Output is correct
12 Correct 180 ms 4980 KB Output is correct
13 Correct 131 ms 4948 KB Output is correct
14 Correct 182 ms 4948 KB Output is correct
15 Correct 0 ms 320 KB Output is correct
16 Correct 130 ms 6112 KB Output is correct
17 Correct 148 ms 11588 KB Output is correct
18 Correct 144 ms 10756 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 320 KB Output is correct
2 Correct 130 ms 6112 KB Output is correct
3 Correct 148 ms 11588 KB Output is correct
4 Correct 144 ms 10756 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 71 ms 2660 KB Output is correct
14 Correct 47 ms 1888 KB Output is correct
15 Correct 36 ms 1492 KB Output is correct
16 Correct 29 ms 1188 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 300 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 3 ms 340 KB Output is correct
23 Correct 3 ms 468 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 300 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 3 ms 392 KB Output is correct
11 Correct 176 ms 4984 KB Output is correct
12 Correct 180 ms 4980 KB Output is correct
13 Correct 131 ms 4948 KB Output is correct
14 Correct 182 ms 4948 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 71 ms 2660 KB Output is correct
24 Correct 47 ms 1888 KB Output is correct
25 Correct 36 ms 1492 KB Output is correct
26 Correct 29 ms 1188 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 300 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 3 ms 340 KB Output is correct
33 Correct 3 ms 468 KB Output is correct
34 Correct 0 ms 320 KB Output is correct
35 Correct 130 ms 6112 KB Output is correct
36 Correct 148 ms 11588 KB Output is correct
37 Correct 144 ms 10756 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 0 ms 212 KB Output is correct
45 Correct 4 ms 468 KB Output is correct
46 Correct 6 ms 596 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 32 ms 2136 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 316 KB Output is correct
51 Correct 3 ms 460 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 91 ms 5460 KB Output is correct
56 Correct 45 ms 3168 KB Output is correct
57 Correct 63 ms 3152 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 71 ms 2660 KB Output is correct
10 Correct 47 ms 1888 KB Output is correct
11 Correct 36 ms 1492 KB Output is correct
12 Correct 29 ms 1188 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 300 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 3 ms 340 KB Output is correct
19 Correct 3 ms 468 KB Output is correct
20 Correct 0 ms 320 KB Output is correct
21 Correct 130 ms 6112 KB Output is correct
22 Correct 148 ms 11588 KB Output is correct
23 Correct 144 ms 10756 KB Output is correct
24 Correct 30 ms 1952 KB Output is correct
25 Correct 76 ms 4952 KB Output is correct
26 Correct 16 ms 1364 KB Output is correct
27 Correct 144 ms 10720 KB Output is correct
28 Correct 145 ms 10816 KB Output is correct
29 Correct 146 ms 10820 KB Output is correct
30 Correct 155 ms 10816 KB Output is correct
31 Correct 193 ms 10720 KB Output is correct
32 Correct 151 ms 6160 KB Output is correct
33 Correct 209 ms 11472 KB Output is correct
34 Correct 151 ms 6284 KB Output is correct

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 300 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 3 ms 392 KB Output is correct
11 Correct 176 ms 4984 KB Output is correct
12 Correct 180 ms 4980 KB Output is correct
13 Correct 131 ms 4948 KB Output is correct
14 Correct 182 ms 4948 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 71 ms 2660 KB Output is correct
24 Correct 47 ms 1888 KB Output is correct
25 Correct 36 ms 1492 KB Output is correct
26 Correct 29 ms 1188 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 0 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 300 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 3 ms 340 KB Output is correct
33 Correct 3 ms 468 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 4 ms 468 KB Output is correct
42 Correct 6 ms 596 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 32 ms 2136 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 316 KB Output is correct
47 Correct 3 ms 460 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 91 ms 5460 KB Output is correct
52 Correct 45 ms 3168 KB Output is correct
53 Correct 63 ms 3152 KB Output is correct
54 Correct 30 ms 1952 KB Output is correct
55 Correct 76 ms 4952 KB Output is correct
56 Correct 16 ms 1364 KB Output is correct
57 Correct 144 ms 10720 KB Output is correct
58 Correct 145 ms 10816 KB Output is correct
59 Correct 146 ms 10820 KB Output is correct
60 Correct 155 ms 10816 KB Output is correct
61 Correct 193 ms 10720 KB Output is correct
62 Correct 151 ms 6160 KB Output is correct
63 Correct 209 ms 11472 KB Output is correct
64 Correct 151 ms 6284 KB Output is correct
65 Correct 0 ms 320 KB Output is correct
66 Correct 130 ms 6112 KB Output is correct
67 Correct 148 ms 11588 KB Output is correct
68 Correct 144 ms 10756 KB Output is correct
69 Correct 23 ms 1364 KB Output is correct
70 Correct 6 ms 588 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 31 ms 1828 KB Output is correct
73 Correct 7 ms 596 KB Output is correct
74 Correct 1 ms 272 KB Output is correct
75 Correct 185 ms 10824 KB Output is correct
76 Correct 183 ms 10728 KB Output is correct
77 Correct 184 ms 10820 KB Output is correct
78 Correct 195 ms 10716 KB Output is correct
79 Correct 210 ms 10732 KB Output is correct
80 Correct 211 ms 10776 KB Output is correct
81 Correct 196 ms 8720 KB Output is correct
82 Correct 195 ms 8832 KB Output is correct