Just do it

#include <bits/stdc++.h>
#include <iostream>

#define int long long
using namespace std;

signed main()
{
    int n;
    cin >> n;

    if (n == 2) {
            cout << "1 2\n";
            return 0;
    }
    if (n == 3) {
        cout << "1 2 3\n";
        return 0;
    }

    if (n == 4) {
        cout << "1 2 3 4\n";
        return 0;
    }
    if (n == 5) {
        cout << "1 2 4 3 5\n";
        return 0;
    }

    vector<int> nums = {1, 2, 4, 3, 5};
    for (int i = 6; i <= n; i++) {
        nums.push_back(i);
        int mid = i / 2;
        if ((i % 2) == 2) mid++;
        int tmp = nums[mid];
        nums[mid] = nums[i - 2];
        nums[i - 2] = tmp;
    }

    for (int i = 0; i < n; i++) {
        cout << nums[i] << " ";
    }
    cout << "\n";

    return 0;
}

Test 1

Verdict: ACCEPTED

Test 2

Verdict: ACCEPTED

Test 3

Verdict: ACCEPTED

Test 4

Verdict: ACCEPTED

Test 5

Verdict: ACCEPTED

Test 6

Verdict: ACCEPTED

Test 7

Verdict: ACCEPTED

Test 8

Verdict: ACCEPTED

Test 9

Verdict: ACCEPTED

Test 10

Verdict: WRONG ANSWER

Test 11

Verdict: WRONG ANSWER

Test 12

Verdict: WRONG ANSWER

Test 13

Verdict: WRONG ANSWER

Test 14

Verdict: WRONG ANSWER

Test 15

Verdict: WRONG ANSWER

Test 16

Verdict: WRONG ANSWER

Test 17

Verdict: WRONG ANSWER