// 花啊啊啊啊啊啊啊啊啊啊啊啊
#include "shortcut.h"
#pragma GCC optimize("O3", "no-stack-protector")
#include <bits/stdc++.h>
#define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0);
#define F first
#define S second
#define V vector
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(), (v).end()
using namespace std;
typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;
const int INF = 1e9 + 7, N = 1e6 + 7;
const ll oo = 1e18;
int pa[N], pb[N], aux[N];
ll a[N], b[N], pos[N];
ll find_shortcut(int n, vi l, vi d, int c) {
assert(SZ(l) == n - 1);
assert(SZ(d) == n);
for(int i = 1; i < n; i++)
pos[i] = l[i - 1] + pos[i - 1];
for(int i = 0; i < n; i++)
a[i] = pos[i] + d[i];
for(int i = 0; i < n; i++)
b[i] = pos[i] - d[i];
iota(pa, pa + n, 0);
iota(pb, pb + n, 0);
sort(pa, pa + n, [&] (int x, int y) {
return a[x] < a[y];
});
sort(pb, pb + n, [&] (int x, int y) {
return b[x] < b[y];
});
auto ok = [&] (ll k) {
for(int i = 0; i < n; i++)
b[i] = k + pos[i] - d[i];
ll lb_sum = -oo, rb_sum = oo;
ll lb_dif = -oo, rb_dif = oo;
auto add_condition = [&] (int i, int j) {
if(i >= j) return;
assert(i < j && pos[j] - pos[i] + d[i] + d[j] > k);
ll dd = k - d[i] - d[j] - c;
lb_sum = max(lb_sum, pos[i] + pos[j] - dd);
rb_sum = min(rb_sum, pos[i] + pos[j] + dd);
lb_dif = max(lb_dif, pos[i] - pos[j] - dd);
rb_dif = min(rb_dif, pos[i] - pos[j] + dd);
};
// function<void(int, int, int)> cdq = [&] (int l, int r, int depth) {
// if(r - l == 1) return;
// int m = (l + r) / 2;
// cdq(l, m, depth + 1), cdq(m, r, depth + 1);
// int mxj = -1, mnj = -1;
// #define pa papa[depth]
// #define pb pbpb[depth]
// for(int i = m - 1, j = r - 1; i >= l; i--) {
// while(j >= m && a[pa[j]] > b[pb[i]]) {
// int jj = pa[j];
// if(mxj == -1 || pos[jj] + d[jj] > pos[mxj] + d[mxj])
// mxj = jj;
// if(mnj == -1 || pos[jj] - d[jj] < pos[mnj] - d[mnj])
// mnj = jj;
// j--;
// }
// if(mxj != -1) add_condition(pb[i], mxj);
// if(mnj != -1) add_condition(pb[i], mnj);
// }
// };
// cdq(0, n, 0);
int mxj = -1, mnj = -1;
for(int i = n - 1, j = n - 1; i >= 0; i--) {
while(j >= 0 && a[pa[j]] > b[pb[i]]) {
int jj = pa[j];
if(mxj == -1 || pos[jj] + d[jj] > pos[mxj] + d[mxj])
mxj = jj;
if(mnj == -1 || pos[jj] - d[jj] < pos[mnj] - d[mnj])
mnj = jj;
j--;
}
if(mxj != -1) add_condition(pb[i], mxj);
if(mnj != -1) add_condition(pb[i], mnj);
}
if(lb_sum > rb_sum) return false;
if(lb_dif > rb_dif) return false;
for(int i = 0; i < n - 1; i++) {
ll lb = max(lb_sum - pos[i], pos[i] - rb_dif), rb = min(rb_sum - pos[i], pos[i] - lb_dif);
if(lb <= rb) {
int j = lower_bound(pos + i + 1, pos + n, lb) - pos;
if(j < n && pos[j] <= rb) {
// assert(lb_sum <= pos[i] + pos[j] && pos[i] + pos[j] <= rb_sum);
// assert(lb_dif <= pos[i] - pos[j] && pos[i] - pos[j] <= rb_dif);
return true;
}
}
}
return false;
};
ll lb = pos[n - 1] / 3, rb = 1e15;
while(lb <= rb) {
ll mb = (lb + rb) / 2;
if(ok(mb)) rb = mb - 1;
else lb = mb + 1;
}
return lb;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
1 ms |
308 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
1 ms |
304 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
340 KB |
n = 2, incorrect answer: jury 62 vs contestant 3 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
1 ms |
308 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
1 ms |
304 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
340 KB |
n = 2, incorrect answer: jury 62 vs contestant 3 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
1 ms |
308 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
1 ms |
304 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
340 KB |
n = 2, incorrect answer: jury 62 vs contestant 3 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
1 ms |
308 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
1 ms |
304 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
340 KB |
n = 2, incorrect answer: jury 62 vs contestant 3 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
1 ms |
308 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
1 ms |
304 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
340 KB |
n = 2, incorrect answer: jury 62 vs contestant 3 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
1 ms |
308 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
1 ms |
304 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
340 KB |
n = 2, incorrect answer: jury 62 vs contestant 3 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
1 ms |
308 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
1 ms |
304 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
340 KB |
n = 2, incorrect answer: jury 62 vs contestant 3 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
340 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
1 ms |
308 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
1 ms |
304 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
340 KB |
n = 2, incorrect answer: jury 62 vs contestant 3 |
| 6 |
Halted |
0 ms |
0 KB |
- |
