oj.uz

Submission #937796

# Submission time Handle Problem Language Result Execution time Memory
937796 2024-03-04T13:17:21 Z Gromp15 Let's Win the Election (JOI22_ho_t3) C++17
77 / 100
 2500 ms 1864 KB 
#include <bits/stdc++.h>
#define ll long long
#define ar array
#define db double
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rint(l, r) uniform_int_distribution<int>(l, r)(rng)
template<typename T> bool ckmin(T &a, const T &b) { return a > b ? a = b, 1 : 0; }
template<typename T> bool ckmax(T &a, const T &b) { return a < b ? a = b, 1 : 0; }
void test_case() {
	int n, k;
	cin >> n >> k;
	vector<ar<int, 2>> a(n);
	for (auto &x : a) cin >> x[0] >> x[1];
	if (n == k) {
		db ans = 1e18;
		int cnt = 0;
		for (int i = 0; i < n; i++) cnt += bool(~a[i][1]);
		sort(all(a), [&](const auto &A, const auto &B) { return A[1] < B[1]; });
		for (int i = 1; i <= min(cnt, k) + 1; i++) {
			// use i people in the end
			vector<db> dp(i+1, 1e18);
			dp[1] = 0;
			for (int j = 0; j < n; j++) {
				vector<db> dp2(i+1, 1e18);
				for (int l = 1; l <= i; l++) {
					if (~a[j][1] && l + 1 <= i) {
						ckmin(dp2[l+1], dp[l] + (db)a[j][1] / l);
					}
					ckmin(dp2[l], dp[l] + (db)a[j][0] / i);
				}
				swap(dp, dp2);
			}
			ckmin(ans, dp[i]);
		}
		cout << fixed << setprecision(10) << ans << '\n';
		return;
	}
	// let us use z people in the end
	// then, we must first take z-1 Bs, and those Bs will be taken in increasing order
	// As must be taken afterwards and can be taken in arbitrary order
	db ans = 1e18;
	int cnt = 0;
	for (int i = 0; i < n; i++) cnt += bool(~a[i][1]);
	sort(all(a), [&](const auto &A, const auto &B) { return A[1] < B[1]; });
	auto get = [&](int i) {
		vector<vector<db>> dp(k+1, vector<db>(i+1, 1e18));
		dp[0][1] = 0;
		for (int j = 0; j < n; j++) {
			for (int got = k-1; got >= 0; got--) {
				for (int l = 1; l <= i; l++) {
					if (~a[j][1] && l + 1 <= i) {
						ckmin(dp[got+1][l+1], dp[got][l] + (db)a[j][1] / l);
					}
					ckmin(dp[got+1][l], dp[got][l] + (db)a[j][0] / i);
				}
			}
		}
		return dp[k][i];
	};
	int L = 1, R = min(cnt, k) + 1;
	while (R - L >= 3) {
		int mid = (L+R)/2;
		if (get(mid) < get(mid+1)) R = mid;
		else L = mid+1;
	}
	for (int i = L; i <= R; i++) ckmin(ans, get(i));
	cout << fixed << setprecision(10) << ans << '\n';
		


}
int main() {
    cin.tie(0)->sync_with_stdio(0);
    int t = 1;
//    cin >> t;
    while (t--) test_case();
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 460 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 456 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 456 KB Output is correct
10 Correct 1 ms 600 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 460 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 456 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 456 KB Output is correct
10 Correct 1 ms 600 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 274 ms 608 KB Output is correct
13 Correct 183 ms 596 KB Output is correct
14 Correct 64 ms 520 KB Output is correct
15 Correct 1704 ms 1400 KB Output is correct
16 Correct 1016 ms 1144 KB Output is correct
17 Correct 291 ms 732 KB Output is correct
18 Correct 184 ms 348 KB Output is correct
19 Correct 65 ms 592 KB Output is correct
20 Correct 6 ms 348 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 500 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 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 1 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 500 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 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 1 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 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 1 ms 344 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 500 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 404 KB Output is correct
33 Correct 1 ms 356 KB Output is correct
34 Correct 0 ms 356 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 344 KB Output is correct

Subtask #5
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 500 KB Output is correct
2 Correct 1 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 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 1 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 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 1 ms 344 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 352 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 1 ms 500 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 404 KB Output is correct
33 Correct 1 ms 356 KB Output is correct
34 Correct 0 ms 356 KB Output is correct
35 Correct 1 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 2 ms 348 KB Output is correct
45 Correct 10 ms 348 KB Output is correct
46 Correct 3 ms 348 KB Output is correct
47 Correct 4 ms 348 KB Output is correct
48 Correct 8 ms 344 KB Output is correct
49 Correct 12 ms 348 KB Output is correct
50 Correct 7 ms 348 KB Output is correct
51 Correct 2 ms 348 KB Output is correct
52 Correct 2 ms 348 KB Output is correct
53 Correct 3 ms 348 KB Output is correct
54 Correct 5 ms 348 KB Output is correct
55 Correct 9 ms 344 KB Output is correct
56 Correct 3 ms 344 KB Output is correct
57 Correct 7 ms 348 KB Output is correct
58 Correct 8 ms 512 KB Output is correct
59 Correct 8 ms 348 KB Output is correct
60 Correct 11 ms 500 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 267 ms 344 KB Output is correct
2 Correct 167 ms 516 KB Output is correct
3 Correct 172 ms 508 KB Output is correct
4 Correct 170 ms 348 KB Output is correct
5 Correct 168 ms 348 KB Output is correct
6 Correct 177 ms 596 KB Output is correct
7 Correct 170 ms 516 KB Output is correct

Subtask #7
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 460 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 456 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 456 KB Output is correct
10 Correct 1 ms 600 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 274 ms 608 KB Output is correct
13 Correct 183 ms 596 KB Output is correct
14 Correct 64 ms 520 KB Output is correct
15 Correct 1704 ms 1400 KB Output is correct
16 Correct 1016 ms 1144 KB Output is correct
17 Correct 291 ms 732 KB Output is correct
18 Correct 184 ms 348 KB Output is correct
19 Correct 65 ms 592 KB Output is correct
20 Correct 6 ms 348 KB Output is correct
21 Correct 1 ms 500 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 1 ms 344 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 352 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 1 ms 500 KB Output is correct
49 Correct 0 ms 344 KB Output is correct
50 Correct 1 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 1 ms 404 KB Output is correct
53 Correct 1 ms 356 KB Output is correct
54 Correct 0 ms 356 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 0 ms 344 KB Output is correct
61 Correct 1 ms 344 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 2 ms 348 KB Output is correct
65 Correct 10 ms 348 KB Output is correct
66 Correct 3 ms 348 KB Output is correct
67 Correct 4 ms 348 KB Output is correct
68 Correct 8 ms 344 KB Output is correct
69 Correct 12 ms 348 KB Output is correct
70 Correct 7 ms 348 KB Output is correct
71 Correct 2 ms 348 KB Output is correct
72 Correct 2 ms 348 KB Output is correct
73 Correct 3 ms 348 KB Output is correct
74 Correct 5 ms 348 KB Output is correct
75 Correct 9 ms 344 KB Output is correct
76 Correct 3 ms 344 KB Output is correct
77 Correct 7 ms 348 KB Output is correct
78 Correct 8 ms 512 KB Output is correct
79 Correct 8 ms 348 KB Output is correct
80 Correct 11 ms 500 KB Output is correct
81 Correct 267 ms 344 KB Output is correct
82 Correct 167 ms 516 KB Output is correct
83 Correct 172 ms 508 KB Output is correct
84 Correct 170 ms 348 KB Output is correct
85 Correct 168 ms 348 KB Output is correct
86 Correct 177 ms 596 KB Output is correct
87 Correct 170 ms 516 KB Output is correct
88 Correct 8 ms 344 KB Output is correct
89 Correct 21 ms 344 KB Output is correct
90 Correct 72 ms 348 KB Output is correct
91 Correct 170 ms 564 KB Output is correct
92 Correct 358 ms 640 KB Output is correct
93 Correct 722 ms 1108 KB Output is correct
94 Correct 939 ms 1128 KB Output is correct
95 Correct 1706 ms 1548 KB Output is correct
96 Correct 1949 ms 1640 KB Output is correct
97 Execution timed out 2544 ms 1864 KB Time limit exceeded
98 Halted 0 ms 0 KB -