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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#615933#9440. Train Seatsucup-team5062#WA 0ms3784kbC++172.7kb2024-10-05 20:59:102024-10-05 20:59:11

Judging History

This is the latest submission verdict.

  • [2024-10-05 20:59:11]
  • Judged
  • Verdict: WA
  • Time: 0ms
  • Memory: 3784kb
  • [2024-10-05 20:59:10]
  • Submitted

answer

#include <string>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;

const long long INF = 3LL << 59;

string to_string(const vector<int>& arr) {
	string res = "[";
	for (int i = 0; i < arr.size(); i++) {
		if (i != 0) {
			res += ", ";
		}
		res += to_string(arr[i]);
	}
	res += "]";
	return res;
}

vector<int> convex_hull(int N, const vector<long long>& A) {
	vector<int> p;
	for (int i = 0; i <= N; i++) {
		while (p.size() >= 2) {
			int t1 = p[p.size() - 1];
			int t2 = p[p.size() - 2];
			long long c1 = (i - t1) * (A[i] - A[t2]);
			long long c2 = (i - t2) * (A[i] - A[t1]);
			if (c1 >= c2) {
				p.pop_back();
			} else {
				break;
			}
		}
		p.push_back(i);
	}
	return p;
}

vector<long long> give_minus(const vector<long long>& A) {
	vector<long long> res(A.size());
	for (int i = 0; i < int(A.size()); i++) {
		res[i] = -A[i];
	}
	return res;
}

long long solve(int N, const vector<long long>& A) {
	// step #1. compute convex hull
	vector<int> low = convex_hull(N, A);
	vector<int> high = convex_hull(N, give_minus(A));
	
	// step #2. compute track
	string track;
	int lp = 0, rp = high.size() - 1;
	while (lp != low.size() - 1 || rp != 0) {
		int choice = -1;
		if (rp == 0) {
			choice = 0;
		} else if (lp == low.size()) {
			choice = 1;
		} else {
			choice = (1LL * (A[high[rp]] - A[high[rp - 1]]) * (low[lp + 1] - low[lp]) - 1LL * (A[low[lp + 1]] - A[low[lp]]) * (high[rp] - high[rp - 1]) > 0 ? 0 : 1);
		}
		if (choice == 0) {
			track += string(low[lp + 1] - low[lp], 'L');
			lp++;
		} else {
			track += string(high[rp] - high[rp - 1], 'R');
			rp--;
		}
	}

	// step #3. calculate set
	vector<long long> sumA(N + 2);
	for (int i = 0; i <= N; i++) {
		sumA[i + 1] = sumA[i] + A[i];
	}
	vector<long long> offset(N + 1);
	for (int i = 1; i <= N - 1; i++) {
		long long v1 = sumA[i];
		long long v2 = sumA[N + 1] - sumA[i + 1];
		offset[i] = v2 - v1;
	}

	// step #3. brute force midpoint
	int l = 0, r = N; long long curcost = 0;
	long long ans = -INF;
	for (int i = 0; i < N - 2; i++) {
		if (track[i] == 'L') {
			long long subans = curcost - A[l] * (r - l - 2) + offset[l + 1];
			ans = max(ans, subans);
			curcost += A[r];
			l++;
		} else {
			long long subans = curcost + A[r] * (r - l - 2) + offset[r - 1];
			ans = max(ans, subans);
			curcost -= A[l];
			r--;
		}
	}
	ans = max(ans, curcost + offset[r - 1]);

	return ans;
}

int main() {
	int N; long long M;
	cin >> N >> M;
	vector<long long> A(N + 2);
	for (int i = 1; i <= N; i++) {
		cin >> A[i];
	}
	A[N + 1] = M + 1;
	sort(A.begin(), A.end());
	long long ans = solve(N + 1, A);
	cout << ans << endl;
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3468kb

input:

3 10
3 7 10

output:

28

result:

ok "28"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

5 20
3 10 11 14 17

output:

73

result:

ok "73"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

10 1000000000
136909656 243332691 643531997 505919307 43553384 657638276 57213246 179732866 357373203 182482400

output:

7649951260

result:

ok "7649951260"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3484kb

input:

1 172024959
118390965

output:

172024960

result:

ok "172024960"

Test #5:

score: 0
Accepted
time: 0ms
memory: 3536kb

input:

2 920065252
24963998 580538879

output:

1815166508

result:

ok "1815166508"

Test #6:

score: 0
Accepted
time: 0ms
memory: 3784kb

input:

3 172078788
90217996 89200357 170380183

output:

432676968

result:

ok "432676968"

Test #7:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

4 440425711
125318960 91140311 293637977 102491554

output:

1442752023

result:

ok "1442752023"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

5 322827483
22471802 47973794 3707067 27640905 273307033

output:

1512343852

result:

ok "1512343852"

Test #9:

score: -100
Wrong Answer
time: 0ms
memory: 3560kb

input:

72 630313504
112329946 338670434 45608233 444381955 513206139 543955969 420916952 485920423 598657953 568525637 92887514 375155749 230002387 302266710 539300386 433464422 380969627 445990156 239073197 278937451 50602251 494375406 139348725 11780176 601670777 68418714 591190755 96719555 612628609 778...

output:

24970931061

result:

wrong answer 1st words differ - expected: '25015466409', found: '24970931061'