oj.uz

Submission #674743

# Submission time Handle Problem Language Result Execution time Memory
674743 2022-12-26T06:13:22 Z Giantpizzahead Self Study (JOI22_ho_t2) C++17
100 / 100
 244 ms 11460 KB 
/*
JOI 2022 Problem 2

Solution:
First, set A_i = max(A_i, B_i) to avoid edge cases.
Then, binary search on the answer (makes the problem easier).

Start with Bitaro attending every class.
Then, for each course in which he overprepares, calculate the # of classes that can be skipped.
See if those missed courses (in total) can make up the ones he underprepares for.
*/

#include <bits/stdc++.h>
using namespace std;

#define rep(i, a, b) for (int i = (a); i < (b); i++)
#define sz(x) ((int) x.size())
#define all(x) x.begin(), x.end()
#define debug if (true) cerr
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;

bool check(int N, ll M, vi& A, vi& B, ll K) {
    vector<ll> prepLeft(N, K);
    // Initially, go to all the classes
    rep(i, 0, N) prepLeft[i] -= M * A[i];
    // Count number of free classes (to be reassigned)
    // Also count number of needed self study periods
    ll numFree = 0;
    ll numSelf = 0;
    rep(i, 0, N) {
        if (prepLeft[i] <= -A[i]) {
            // Overprepared
            numFree += min(-prepLeft[i] / A[i], M);
        } else if (prepLeft[i] > 0) {
            // Underprepared
            numSelf += (prepLeft[i]+B[i]-1) / B[i];
            if (numSelf >= 1e18) return false;
        }
    }
    // Possible if enough free periods exist
    return numFree >= numSelf;
}

void solve() {
    int N; cin >> N;
    ll M; cin >> M;
    vi A(N), B(N);
    rep(i, 0, N) cin >> A[i];
    rep(i, 0, N) {
        cin >> B[i];
        A[i] = max(A[i], B[i]);
    }

    // Binary search on the answer
    ll ansLow = 0, ansHigh = 2e18;
    while (ansLow < ansHigh) {
        ll mid = (ansLow+ansHigh+1) / 2;
        if (check(N, M, A, B, mid)) ansLow = mid;
        else ansHigh = mid - 1;
    }
    ll ans = ansLow;
    cout << ans << '\n';
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    cin.exceptions(cin.failbit);
    solve();
    return 0;
}

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 1 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 0 ms 212 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 148 ms 4972 KB Output is correct
12 Correct 144 ms 4940 KB Output is correct
13 Correct 159 ms 4976 KB Output is correct
14 Correct 140 ms 5012 KB Output is correct
15 Correct 1 ms 324 KB Output is correct
16 Correct 147 ms 6200 KB Output is correct
17 Correct 184 ms 11460 KB Output is correct
18 Correct 150 ms 10808 KB Output is correct

Subtask #2
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 324 KB Output is correct
2 Correct 147 ms 6200 KB Output is correct
3 Correct 184 ms 11460 KB Output is correct
4 Correct 150 ms 10808 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 1 ms 212 KB Output is correct
10 Correct 1 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 90 ms 2644 KB Output is correct
14 Correct 61 ms 1880 KB Output is correct
15 Correct 46 ms 1492 KB Output is correct
16 Correct 41 ms 1256 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 1 ms 212 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 452 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 1 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 0 ms 212 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 148 ms 4972 KB Output is correct
12 Correct 144 ms 4940 KB Output is correct
13 Correct 159 ms 4976 KB Output is correct
14 Correct 140 ms 5012 KB Output is correct
15 Correct 1 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 1 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 90 ms 2644 KB Output is correct
24 Correct 61 ms 1880 KB Output is correct
25 Correct 46 ms 1492 KB Output is correct
26 Correct 41 ms 1256 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 1 ms 212 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 452 KB Output is correct
34 Correct 1 ms 324 KB Output is correct
35 Correct 147 ms 6200 KB Output is correct
36 Correct 184 ms 11460 KB Output is correct
37 Correct 150 ms 10808 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 320 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 0 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 1 ms 212 KB Output is correct
44 Correct 1 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 2128 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 1 ms 212 KB Output is correct
51 Correct 5 ms 448 KB Output is correct
52 Correct 1 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 93 ms 5512 KB Output is correct
56 Correct 56 ms 3148 KB Output is correct
57 Correct 49 ms 3152 KB Output is correct

Subtask #4
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 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 90 ms 2644 KB Output is correct
10 Correct 61 ms 1880 KB Output is correct
11 Correct 46 ms 1492 KB Output is correct
12 Correct 41 ms 1256 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 1 ms 212 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 452 KB Output is correct
20 Correct 1 ms 324 KB Output is correct
21 Correct 147 ms 6200 KB Output is correct
22 Correct 184 ms 11460 KB Output is correct
23 Correct 150 ms 10808 KB Output is correct
24 Correct 37 ms 1896 KB Output is correct
25 Correct 94 ms 5036 KB Output is correct
26 Correct 21 ms 1324 KB Output is correct
27 Correct 185 ms 10916 KB Output is correct
28 Correct 183 ms 10800 KB Output is correct
29 Correct 185 ms 10796 KB Output is correct
30 Correct 204 ms 10800 KB Output is correct
31 Correct 244 ms 10804 KB Output is correct
32 Correct 145 ms 6188 KB Output is correct
33 Correct 199 ms 11456 KB Output is correct
34 Correct 167 ms 6184 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 1 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 0 ms 212 KB Output is correct
10 Correct 3 ms 340 KB Output is correct
11 Correct 148 ms 4972 KB Output is correct
12 Correct 144 ms 4940 KB Output is correct
13 Correct 159 ms 4976 KB Output is correct
14 Correct 140 ms 5012 KB Output is correct
15 Correct 1 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 1 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 90 ms 2644 KB Output is correct
24 Correct 61 ms 1880 KB Output is correct
25 Correct 46 ms 1492 KB Output is correct
26 Correct 41 ms 1256 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 1 ms 212 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 452 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 320 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 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 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 2128 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 5 ms 448 KB Output is correct
48 Correct 1 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 93 ms 5512 KB Output is correct
52 Correct 56 ms 3148 KB Output is correct
53 Correct 49 ms 3152 KB Output is correct
54 Correct 37 ms 1896 KB Output is correct
55 Correct 94 ms 5036 KB Output is correct
56 Correct 21 ms 1324 KB Output is correct
57 Correct 185 ms 10916 KB Output is correct
58 Correct 183 ms 10800 KB Output is correct
59 Correct 185 ms 10796 KB Output is correct
60 Correct 204 ms 10800 KB Output is correct
61 Correct 244 ms 10804 KB Output is correct
62 Correct 145 ms 6188 KB Output is correct
63 Correct 199 ms 11456 KB Output is correct
64 Correct 167 ms 6184 KB Output is correct
65 Correct 1 ms 324 KB Output is correct
66 Correct 147 ms 6200 KB Output is correct
67 Correct 184 ms 11460 KB Output is correct
68 Correct 150 ms 10808 KB Output is correct
69 Correct 27 ms 1576 KB Output is correct
70 Correct 6 ms 592 KB Output is correct
71 Correct 1 ms 316 KB Output is correct
72 Correct 36 ms 1824 KB Output is correct
73 Correct 8 ms 648 KB Output is correct
74 Correct 2 ms 332 KB Output is correct
75 Correct 185 ms 10812 KB Output is correct
76 Correct 183 ms 10800 KB Output is correct
77 Correct 191 ms 10788 KB Output is correct
78 Correct 213 ms 10924 KB Output is correct
79 Correct 232 ms 10800 KB Output is correct
80 Correct 243 ms 10804 KB Output is correct
81 Correct 175 ms 8872 KB Output is correct
82 Correct 166 ms 8816 KB Output is correct