Submission #1005889

# Submission time Handle Problem Language Result Execution time Memory
1005889 2024-06-23T07:34:12 Z omsincoconut Gap (APIO16_gap) C++17
30 / 100
2000 ms 524288 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;
}

const ll DV = 4;
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, q1 + (q2-q1+1)/DV);
	for (ll i = 1; i < DV-1; i++) rec(dt, q1 + i*(q2-q1+1)/3 + 1, q1 + (i+1)*(q2-q1+1)/3);
	rec(dt, q1 + (DV-1)*(q2-q1+1)/DV + 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 <= 8) return findGap1(N);
	if (N <= 512) return findGap2_(N);
	return findGap2(N);
}

Compilation message

gap.cpp: In function 'void rec(std::set<long long int>&, ll, ll)':
gap.cpp:41:5: warning: unused variable 'mid' [-Wunused-variable]
   41 |  ll mid = (q1+q2)/2;
      |     ^~~
# 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 1 ms 2392 KB Output is correct
4 Correct 0 ms 2392 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 0 ms 2392 KB Output is correct
7 Correct 1 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 3504 KB Output is correct
17 Correct 8 ms 3416 KB Output is correct
18 Correct 7 ms 3416 KB Output is correct
19 Correct 7 ms 3504 KB Output is correct
20 Correct 5 ms 3416 KB Output is correct
21 Correct 26 ms 6516 KB Output is correct
22 Correct 27 ms 6516 KB Output is correct
23 Correct 35 ms 6736 KB Output is correct
24 Correct 28 ms 6744 KB Output is correct
25 Correct 24 ms 6744 KB Output is correct
26 Correct 27 ms 6744 KB Output is correct
27 Correct 27 ms 6744 KB Output is correct
28 Correct 27 ms 6736 KB Output is correct
29 Correct 35 ms 6744 KB Output is correct
30 Correct 22 ms 6744 KB Output is correct
31 Correct 0 ms 2392 KB Output is correct
32 Correct 0 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 1 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 1 ms 2392 KB Partially correct
7 Partially correct 0 ms 2392 KB Partially correct
8 Partially correct 0 ms 2392 KB Partially correct
9 Partially correct 0 ms 2392 KB Partially correct
10 Partially correct 0 ms 2392 KB Partially correct
11 Incorrect 2 ms 2904 KB Output isn't correct
12 Incorrect 2 ms 2904 KB Output isn't correct
13 Incorrect 2 ms 2904 KB Output isn't correct
14 Incorrect 2 ms 2904 KB Output isn't correct
15 Incorrect 2 ms 2904 KB Output isn't correct
16 Incorrect 44 ms 14672 KB Output isn't correct
17 Incorrect 45 ms 14976 KB Output isn't correct
18 Incorrect 41 ms 14672 KB Output isn't correct
19 Incorrect 48 ms 15016 KB Output isn't correct
20 Execution timed out 2677 ms 524288 KB Time limit exceeded
21 Incorrect 257 ms 61356 KB Output isn't correct
22 Incorrect 280 ms 60860 KB Output isn't correct
23 Incorrect 260 ms 61544 KB Output isn't correct
24 Incorrect 253 ms 60984 KB Output isn't correct
25 Incorrect 258 ms 53452 KB Output isn't correct
26 Incorrect 246 ms 60656 KB Output isn't correct
27 Incorrect 247 ms 61640 KB Output isn't correct
28 Incorrect 247 ms 60512 KB Output isn't correct
29 Incorrect 259 ms 61640 KB Output isn't correct
30 Execution timed out 3030 ms 524288 KB Time limit exceeded
31 Correct 1 ms 2392 KB Output is correct
32 Correct 0 ms 2392 KB Output is correct