답안 #674743

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
674743	2022-12-26T06:13:22 Z	Giantpizzahead	Self Study (JOI22_ho_t2)	C++17	100 / 100	244 ms	11460 KB

Main

/*
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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

답안 #674743

Compilation message

Subtask #1 10.0 / 10.0

Subtask #2 25.0 / 25.0

Subtask #3 27.0 / 27.0

Subtask #4 29.0 / 29.0

Subtask #5 9.0 / 9.0

Subtask #1
10.0 / 10.0

Subtask #2
25.0 / 25.0

Subtask #3
27.0 / 27.0

Subtask #4
29.0 / 29.0

Subtask #5
9.0 / 9.0