/*************************************
* author: marvinthang *
* created: 23.06.2023 20:12:10 *
*************************************/
#include "shortcut.h"
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i--; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
template <class A, class B> bool minimize(A &a, B b) { if (a > b) { a = b; return true; } return false; }
template <class A, class B> bool maximize(A &a, B b) { if (a < b) { a = b; return true; } return false; }
// end of template
const int MAX = 1e6 + 6;
const long long INF = 1e9 * MAX;
long long find_shortcut(int n, vector <int> l, vector <int> d, int c) {
vector <long long> x(n);
REP(i, n - 1) x[i + 1] = x[i] + l[i];
vector <long long> pos;
REP(i, n) pos.push_back(x[i] - d[i]);
sort(ALL(pos));
pos.erase(unique(ALL(pos)), pos.end());
int m = pos.size();
vector <long long> max_d(m, -INF), min_d(m, INF), max_s(m, -INF), min_s(m, INF);
REP(i, n) {
int p = lower_bound(ALL(pos), x[i] - d[i]) - pos.begin();
maximize(max_d[p], x[i] - d[i]);
minimize(min_d[p], x[i] - d[i]);
maximize(max_s[p], x[i] + d[i]);
minimize(max_s[p], x[i] + d[i]);
}
auto check = [&] (long long f) {
long long max_diff = INF, min_diff = -INF, max_sum = INF, min_sum = -INF;
// REP(r, n) {
// int p = lower_bound(ALL(pos), x[r] + d[r] - f - c) - pos.begin() - 1;
// if (p >= 0) {
// minimize(max_diff, (x[r] - d[r]) - max_s[p] + f);
// maximize(min_diff, (x[r] + d[r]) - min_d[p] - f);
// minimize(max_sum, (x[r] - d[r]) + min_d[p] + f);
// maximize(min_sum, (x[r] + d[r]) + max_s[p] - f);
// }
// }
REP(r, n) REP(l, n) if ((x[r] + d[r]) - f - c > (x[l] - d[l])) {
minimize(max_diff, (x[r] - d[r]) - (x[l] + d[l]) + f);
maximize(min_diff, (x[r] + d[r]) - (x[l] - d[l]) - f);
minimize(max_sum, (x[r] - d[r]) + (x[l] - d[l]) + f);
maximize(min_sum, (x[r] + d[r]) + (x[l] + d[l]) - f);
}
auto check = [&] (int i, int j) {
return min_diff <= x[i] - x[j] && x[i] - x[j] <= max_diff && min_sum <= x[i] + x[j] && x[i] + x[j] <= max_sum;
};
int j = 0, k = n - 1;
REP(i, n) {
while (j + 1 < n && x[j] < x[i] - max_diff) ++j;
if (check(i, j)) return true;
while (k && x[k - 1] >= min_sum - x[i]) --k;
if (check(i, j) || check(i, k)) return true;
}
return false;
};
long long ll = *max_element(ALL(d));
long long rr = x[n - 1] + 2 * ll;
while (ll <= rr) {
long long m = ll + rr >> 1;
if (check(m - c)) rr = m - 1;
else ll = m + 1;
}
return ll;
}
#ifdef LOCAL
#include <cstdio>
#include <cassert>
#include "shortcut.h"
int main()
{
file("shortcut");
int n, c;
assert(2 == scanf("%d%d", &n, &c));
std::vector<int> l(n - 1);
std::vector<int> d(n);
for (int i = 0; i < n - 1; i++)
assert(1 == scanf("%d", &l[i]));
for (int i = 0; i < n; i++)
assert(1 == scanf("%d", &d[i]));
long long t = find_shortcut(n, l, d, c);
printf("%lld\n", t);
return 0;
}
#endif
Compilation message
shortcut.cpp: In function 'long long int find_shortcut(int, std::vector<int>, std::vector<int>, int)':
shortcut.cpp:99:26: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
99 | long long m = ll + rr >> 1;
| ~~~^~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
212 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
0 ms |
212 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
212 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
212 KB |
n = 2, incorrect answer: jury 62 vs contestant 72 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
212 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
0 ms |
212 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
212 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
212 KB |
n = 2, incorrect answer: jury 62 vs contestant 72 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
212 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
0 ms |
212 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
212 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
212 KB |
n = 2, incorrect answer: jury 62 vs contestant 72 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
212 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
0 ms |
212 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
212 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
212 KB |
n = 2, incorrect answer: jury 62 vs contestant 72 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
212 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
0 ms |
212 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
212 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
212 KB |
n = 2, incorrect answer: jury 62 vs contestant 72 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
212 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
0 ms |
212 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
212 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
212 KB |
n = 2, incorrect answer: jury 62 vs contestant 72 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
212 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
0 ms |
212 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
212 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
212 KB |
n = 2, incorrect answer: jury 62 vs contestant 72 |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
n = 4, 80 is a correct answer |
| 2 |
Correct |
1 ms |
212 KB |
n = 9, 110 is a correct answer |
| 3 |
Correct |
0 ms |
212 KB |
n = 4, 21 is a correct answer |
| 4 |
Correct |
0 ms |
212 KB |
n = 3, 4 is a correct answer |
| 5 |
Incorrect |
1 ms |
212 KB |
n = 2, incorrect answer: jury 62 vs contestant 72 |
| 6 |
Halted |
0 ms |
0 KB |
- |
