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답안 #1107138

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
1107138 2024-10-31T17:46:58 Z vnedu Feast (NOI19_feast) C++11
100 / 100
 482 ms 13644 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long

int main() {
	int n, k;
	cin >> n >> k;

	int a[n];
	for (int &i : a) { cin >> i; }

	/**
	 * @return the maximum sum along with the number of subarrays used
	 * if creating a subarray penalizes the sum by "lmb" and
	 * there is no limit to the number of subarrays you can create
	 */
	auto solve_lambda = [&](ll lmb) {
		pair<ll, ll> dp[n][2];

		dp[0][0] = {0, 0};
		dp[0][1] = {a[0] - lmb, 1};

		for (int i = 1; i < n; i++) {
			dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);

			dp[i][1] =
			    max(make_pair(dp[i - 1][0].first + a[i] - lmb, dp[i - 1][0].second + 1),
			        make_pair(dp[i - 1][1].first + a[i], dp[i - 1][1].second));
		}

		return max(dp[n - 1][0], dp[n - 1][1]);
	};

	ll lo = 0;
	ll hi = 1e18;
	while (lo < hi) {
		ll mid = (lo + hi + 1) / 2;
      	if (solve_lambda(mid).second<solve_lambda(mid+1).second) cout<<1/0;
		solve_lambda(mid).second >= k ? lo = mid : hi = mid - 1;
	}

	cout << solve_lambda(lo).first + lo * k << endl;
}

Compilation message

feast.cpp: In function 'int main()':
feast.cpp:39:72: warning: division by zero [-Wdiv-by-zero]
   39 |        if (solve_lambda(mid).second<solve_lambda(mid+1).second) cout<<1/0;
      |                                                                       ~^~

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 207 ms 11616 KB Output is correct
2 Correct 228 ms 12612 KB Output is correct
3 Correct 230 ms 12616 KB Output is correct
4 Correct 219 ms 12872 KB Output is correct
5 Correct 213 ms 10824 KB Output is correct
6 Correct 257 ms 13128 KB Output is correct
7 Correct 228 ms 13128 KB Output is correct
8 Correct 222 ms 12104 KB Output is correct
9 Correct 215 ms 11852 KB Output is correct
10 Correct 220 ms 11848 KB Output is correct

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 172 ms 10568 KB Output is correct
2 Correct 170 ms 11692 KB Output is correct
3 Correct 176 ms 10568 KB Output is correct
4 Correct 199 ms 10964 KB Output is correct
5 Correct 214 ms 11692 KB Output is correct
6 Correct 180 ms 11052 KB Output is correct
7 Correct 178 ms 10816 KB Output is correct
8 Correct 214 ms 13212 KB Output is correct
9 Correct 208 ms 13128 KB Output is correct
10 Correct 195 ms 11848 KB Output is correct

Subtask #3
18.0 / 18.0

# 결과 실행 시간 메모리 Grader output
1 Correct 290 ms 11936 KB Output is correct
2 Correct 292 ms 10568 KB Output is correct
3 Correct 296 ms 10796 KB Output is correct
4 Correct 277 ms 10524 KB Output is correct
5 Correct 287 ms 11852 KB Output is correct
6 Correct 287 ms 13644 KB Output is correct
7 Correct 295 ms 11444 KB Output is correct
8 Correct 287 ms 10796 KB Output is correct
9 Correct 312 ms 11848 KB Output is correct
10 Correct 313 ms 11064 KB Output is correct

Subtask #4
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct

Subtask #5
11.0 / 11.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct

Subtask #6
20.0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 3 ms 336 KB Output is correct
22 Correct 2 ms 336 KB Output is correct
23 Correct 2 ms 336 KB Output is correct
24 Correct 3 ms 348 KB Output is correct
25 Correct 3 ms 336 KB Output is correct
26 Correct 2 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 2 ms 336 KB Output is correct
30 Correct 4 ms 336 KB Output is correct

Subtask #7
29.0 / 29.0

# 결과 실행 시간 메모리 Grader output
1 Correct 207 ms 11616 KB Output is correct
2 Correct 228 ms 12612 KB Output is correct
3 Correct 230 ms 12616 KB Output is correct
4 Correct 219 ms 12872 KB Output is correct
5 Correct 213 ms 10824 KB Output is correct
6 Correct 257 ms 13128 KB Output is correct
7 Correct 228 ms 13128 KB Output is correct
8 Correct 222 ms 12104 KB Output is correct
9 Correct 215 ms 11852 KB Output is correct
10 Correct 220 ms 11848 KB Output is correct
11 Correct 172 ms 10568 KB Output is correct
12 Correct 170 ms 11692 KB Output is correct
13 Correct 176 ms 10568 KB Output is correct
14 Correct 199 ms 10964 KB Output is correct
15 Correct 214 ms 11692 KB Output is correct
16 Correct 180 ms 11052 KB Output is correct
17 Correct 178 ms 10816 KB Output is correct
18 Correct 214 ms 13212 KB Output is correct
19 Correct 208 ms 13128 KB Output is correct
20 Correct 195 ms 11848 KB Output is correct
21 Correct 290 ms 11936 KB Output is correct
22 Correct 292 ms 10568 KB Output is correct
23 Correct 296 ms 10796 KB Output is correct
24 Correct 277 ms 10524 KB Output is correct
25 Correct 287 ms 11852 KB Output is correct
26 Correct 287 ms 13644 KB Output is correct
27 Correct 295 ms 11444 KB Output is correct
28 Correct 287 ms 10796 KB Output is correct
29 Correct 312 ms 11848 KB Output is correct
30 Correct 313 ms 11064 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 1 ms 336 KB Output is correct
38 Correct 1 ms 336 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 336 KB Output is correct
44 Correct 1 ms 336 KB Output is correct
45 Correct 1 ms 336 KB Output is correct
46 Correct 1 ms 336 KB Output is correct
47 Correct 1 ms 336 KB Output is correct
48 Correct 1 ms 336 KB Output is correct
49 Correct 1 ms 336 KB Output is correct
50 Correct 1 ms 336 KB Output is correct
51 Correct 3 ms 336 KB Output is correct
52 Correct 2 ms 336 KB Output is correct
53 Correct 2 ms 336 KB Output is correct
54 Correct 3 ms 348 KB Output is correct
55 Correct 3 ms 336 KB Output is correct
56 Correct 2 ms 336 KB Output is correct
57 Correct 2 ms 336 KB Output is correct
58 Correct 2 ms 336 KB Output is correct
59 Correct 2 ms 336 KB Output is correct
60 Correct 4 ms 336 KB Output is correct
61 Correct 405 ms 13640 KB Output is correct
62 Correct 394 ms 13532 KB Output is correct
63 Correct 397 ms 12484 KB Output is correct
64 Correct 411 ms 10896 KB Output is correct
65 Correct 435 ms 12440 KB Output is correct
66 Correct 482 ms 11848 KB Output is correct
67 Correct 405 ms 12332 KB Output is correct
68 Correct 314 ms 13396 KB Output is correct
69 Correct 294 ms 10524 KB Output is correct
70 Correct 318 ms 12340 KB Output is correct