Submission #1005862

# Submission time Handle Problem Language Result Execution time Memory
1005862 2024-06-23T07:19:48 Z omsincoconut Gap (APIO16_gap) C++17
49.4822 / 100
65 ms 14012 KB
#include <bits/stdc++.h>
#include "gap.h"

using namespace std;
typedef long long ll;

ll findGap1(int N) {
	ll l = 1, r = N;
	ll fl = LLONG_MIN, fr = LLONG_MAX;
	ll arr[N+1];
	while (l <= r) {
		ll *q1 = new ll(0), *q2 = new ll(0);
		MinMax(fl, fr, q1, q2);
		arr[l++] = *q1;
		arr[r--] = *q2;
		fl = *q1+1;
		fr = *q2-1;
	}
	ll ans = 0;
	for (ll i = 1; i < N; i++) ans = max(ans, arr[i+1] - arr[i]);
	return ans;
}

void query(ll s, ll t, ll &q1, ll &q2) {
	ll *qr1 = new ll(0), *qr2 = new ll(0);
	MinMax(s, t, qr1, qr2);
	q1 = *qr1;
	q2 = *qr2;
}

void rec(set<ll> &dt, ll l, ll r) {
	if (l > r) return;

	ll q1, q2;
	query(l, r, q1, q2);
	if (q1 == -1) return;

	dt.insert(q1);
	dt.insert(q2);
	ll mid = (q1+q2)/2;
	rec(dt, q1+1, mid);
	rec(dt, mid+1, q2-1);
}

ll findGap2(int N) {
	set<ll> dt;
	rec(dt, -2e18, 2e18);
	vector<ll> arr;
	for (ll i : dt) arr.push_back(i);
	ll ans = 0;
	for (ll i = 0; i < N-1; i++) ans = max(ans, arr[i+1] - arr[i]);
	return ans;
}

ll findGap2_(int N) {
	ll mi, mx;
	query(LLONG_MIN, LLONG_MAX, mi, mx);
	ll ans = (mx-mi+N-1)/N; // by pigeonhole
 
	ll lst = mi, lft = N;
	while (lst < mx && lft > 0) {
		ll q1, q2;
		query(lst+1, lst+ans, q1, q2);
		if (q1 == -1) {
			ll cq1, cq2;
			query(lst+1, mx-1, cq1, cq2);
			if (cq1 == -1) {
				ans = max(ans, mx-lst);
				lst = mx;
				lft = 0;
			} else {
				ans = max({ans, cq1-lst, mx-cq2});
				lst = cq1;
				mx = cq2;
				lft -= 2;
			}
		} else {
			lst = q2;
			lft--;
		}
		if (lft > 0) ans = max(ans, (mx-lst+lft-1)/lft);
	}
	return ans;
}

ll findGap(int T, int N) {
	if (T == 1) return findGap1(N);
	if (N <= 2016) return findGap2_(N);
	return findGap2(N);
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 2392 KB Output is correct
3 Correct 0 ms 2392 KB Output is correct
4 Correct 0 ms 2392 KB Output is correct
5 Correct 0 ms 2392 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct
7 Correct 0 ms 2392 KB Output is correct
8 Correct 0 ms 2392 KB Output is correct
9 Correct 0 ms 2392 KB Output is correct
10 Correct 1 ms 2392 KB Output is correct
11 Correct 1 ms 2392 KB Output is correct
12 Correct 1 ms 2392 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 7 ms 3560 KB Output is correct
17 Correct 7 ms 3416 KB Output is correct
18 Correct 8 ms 3416 KB Output is correct
19 Correct 7 ms 3416 KB Output is correct
20 Correct 5 ms 3416 KB Output is correct
21 Correct 27 ms 6628 KB Output is correct
22 Correct 35 ms 6628 KB Output is correct
23 Correct 27 ms 6744 KB Output is correct
24 Correct 26 ms 6744 KB Output is correct
25 Correct 31 ms 6612 KB Output is correct
26 Correct 27 ms 6732 KB Output is correct
27 Correct 31 ms 6736 KB Output is correct
28 Correct 30 ms 6728 KB Output is correct
29 Correct 27 ms 6576 KB Output is correct
30 Correct 22 ms 6736 KB Output is correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 1 ms 2392 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Partially correct 0 ms 2392 KB Partially correct
3 Partially correct 0 ms 2392 KB Partially correct
4 Partially correct 1 ms 2392 KB Partially correct
5 Partially correct 0 ms 2392 KB Partially correct
6 Partially correct 0 ms 2392 KB Partially correct
7 Partially correct 0 ms 2392 KB Partially correct
8 Partially correct 1 ms 2392 KB Partially correct
9 Partially correct 1 ms 2392 KB Partially correct
10 Partially correct 1 ms 2392 KB Partially correct
11 Partially correct 1 ms 2392 KB Partially correct
12 Partially correct 1 ms 2392 KB Partially correct
13 Partially correct 1 ms 2392 KB Partially correct
14 Partially correct 1 ms 2392 KB Partially correct
15 Partially correct 1 ms 2392 KB Partially correct
16 Partially correct 15 ms 5468 KB Partially correct
17 Partially correct 14 ms 5464 KB Partially correct
18 Partially correct 14 ms 5316 KB Partially correct
19 Partially correct 14 ms 5392 KB Partially correct
20 Partially correct 11 ms 4936 KB Partially correct
21 Partially correct 62 ms 13968 KB Partially correct
22 Partially correct 56 ms 13956 KB Partially correct
23 Partially correct 58 ms 13844 KB Partially correct
24 Partially correct 53 ms 14012 KB Partially correct
25 Partially correct 59 ms 12832 KB Partially correct
26 Partially correct 59 ms 13820 KB Partially correct
27 Partially correct 65 ms 13972 KB Partially correct
28 Partially correct 56 ms 13924 KB Partially correct
29 Partially correct 52 ms 13956 KB Partially correct
30 Partially correct 49 ms 11972 KB Partially correct
31 Correct 1 ms 2392 KB Output is correct
32 Correct 0 ms 2392 KB Output is correct