QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#615897 | #9440. Train Seats | ucup-team5062# | WA | 0ms | 3784kb | C++17 | 2.7kb | 2024-10-05 20:53:19 | 2024-10-05 20:53:20 |
Judging History
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[r] * (r - l - 2) + offset[r - 1];
ans = max(ans, subans);
curcost += A[r];
l++;
} else {
long long subans = curcost - A[l] * (r - l - 2) + offset[l + 1];
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: 3452kb
input:
3 10 3 7 10
output:
28
result:
ok "28"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
5 20 3 10 11 14 17
output:
73
result:
ok "73"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3784kb
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: 3572kb
input:
1 172024959 118390965
output:
172024960
result:
ok "172024960"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
2 920065252 24963998 580538879
output:
1815166508
result:
ok "1815166508"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
3 172078788 90217996 89200357 170380183
output:
432676968
result:
ok "432676968"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
4 440425711 125318960 91140311 293637977 102491554
output:
1442752023
result:
ok "1442752023"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3596kb
input:
5 322827483 22471802 47973794 3707067 27640905 273307033
output:
1512343852
result:
ok "1512343852"
Test #9:
score: -100
Wrong Answer
time: 0ms
memory: 3500kb
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:
24788696597
result:
wrong answer 1st words differ - expected: '25015466409', found: '24788696597'