Submission details
Task:Establish equality
Sender:Kemm1706
Submission time:2025-09-08 16:55:37 +0300
Language:C++ (C++11)
Status:READY
Result:
Test results
testverdicttime
#1ACCEPTED0.00 sdetails
#2ACCEPTED0.00 sdetails
#3ACCEPTED0.00 sdetails
#4ACCEPTED0.00 sdetails
#5ACCEPTED0.00 sdetails
#6ACCEPTED0.00 sdetails
#7ACCEPTED0.00 sdetails
#80.00 sdetails
#9ACCEPTED0.00 sdetails
#10ACCEPTED0.00 sdetails
#11ACCEPTED0.00 sdetails
#120.00 sdetails
#13ACCEPTED0.00 sdetails
#14ACCEPTED0.00 sdetails
#15ACCEPTED0.00 sdetails
#160.00 sdetails
#17ACCEPTED0.00 sdetails
#18ACCEPTED0.00 sdetails
#19ACCEPTED0.00 sdetails
#20ACCEPTED0.00 sdetails
#21ACCEPTED0.00 sdetails
#22ACCEPTED0.00 sdetails
#23ACCEPTED0.00 sdetails
#24ACCEPTED0.00 sdetails
#25ACCEPTED0.00 sdetails
#26ACCEPTED0.00 sdetails
#27ACCEPTED0.00 sdetails
#28ACCEPTED0.00 sdetails
#290.00 sdetails
#30ACCEPTED0.00 sdetails
#310.01 sdetails
#32ACCEPTED0.00 sdetails
#33ACCEPTED0.00 sdetails
#34ACCEPTED0.00 sdetails
#35ACCEPTED0.00 sdetails
#360.00 sdetails
#37ACCEPTED0.00 sdetails
#38ACCEPTED0.00 sdetails
#39ACCEPTED0.00 sdetails
#40ACCEPTED0.00 sdetails
#41ACCEPTED0.01 sdetails
#420.01 sdetails
#43ACCEPTED0.01 sdetails
#44ACCEPTED0.01 sdetails
#45ACCEPTED0.02 sdetails
#46ACCEPTED0.02 sdetails
#47ACCEPTED0.02 sdetails
#48ACCEPTED0.02 sdetails
#490.02 sdetails
#50ACCEPTED0.03 sdetails
#510.05 sdetails
#52ACCEPTED0.06 sdetails
#53ACCEPTED0.05 sdetails
#54ACCEPTED0.06 sdetails
#550.05 sdetails

Code

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector <ll> vl;

void out(const vl &a)
{
    for(auto x : a)
        cerr << x << " ";
    cerr << "\n";
}

bool check(const vl &a, const vl &pre, ll s, ll val, ll n)
{
    ll p = lower_bound(a.begin(), a.end(), val) - a.begin() - 1;
    if(p < 0)
        return true;
    //cerr << val << " " << p << "\n";
    ll needed = (p + 1) * val - pre[p + 1];
    //cerr << p << " " << needed << " " << (pre[n + 1] - pre[p + 1] - (n - p - 1) * val);
    if((2 * needed) <= (pre[n] - pre[p + 1] - (n - p - 1) * val))
        return true;
    return false;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);

    ll n, i, s = 0, lo = 0, hi, mid;
    cin >> n;
    vl a(n), pre(n + 1, 0);
    for(i = 0; i < n; i++)
    {
        cin >> a[i];
        s += a[i];
    }
    sort(a.begin(), a.end());
    for(i = 1; i <= n; i++)
        pre[i] = pre[i - 1] + a[i - 1];
    //out(a); out(pre);
    hi = s / n;
    while(lo < hi)
    {
        mid = (lo + hi + 1) / 2;
        if(check(a, pre, s, mid, n))
            lo = mid;
        else
            hi = mid - 1;
    }
    cout << lo;
    //check(a, pre, s, 50, n);
    return 0;
}

Test details

Test 1

Verdict: ACCEPTED

input
1

correct output
4

user output
4

Test 2

Verdict: ACCEPTED

input
2
4 2 

correct output
2

user output
2

Test 3

Verdict: ACCEPTED

input
2
6 0 

correct output
2

user output
2

Test 4

Verdict: ACCEPTED

input
3
10 9 6 

correct output
7

user output
7

Test 5

Verdict: ACCEPTED

input
6
2 0 9 9 2 4 

correct output
3

user output
3

Test 6

Verdict: ACCEPTED

input
10
4 10 7 10 0 1 3 10 1 2 

correct output
3

user output
3

Test 7

Verdict: ACCEPTED

input
10
4 2 0 10 6 10 4 5 4 3 

correct output
4

user output
4

Test 8

Verdict:

input
10
6 0 7 9 3 1 5 6 9 4 

correct output
3

user output
4

Test 9

Verdict: ACCEPTED

input
10
10 9 6 1 10 9 7 6 7 6 

correct output
6

user output
6

Test 10

Verdict: ACCEPTED

input
10
2 0 9 9 2 4 10 10 5 0 

correct output
3

user output
3

Test 11

Verdict: ACCEPTED

input
10
1 0 0 7 5 2 7 10 4 1 

correct output
2

user output
2

Test 12

Verdict:

input
10
1 4 8 9 2 0 5 7 0 3 

correct output
2

user output
3

Test 13

Verdict: ACCEPTED

input
10
8 6 2 9 9 9 10 1 10 8 

correct output
6

user output
6

Test 14

Verdict: ACCEPTED

input
10
5 10 8 7 9 4 0 1 3 2 

correct output
3

user output
3

Test 15

Verdict: ACCEPTED

input
10
9 8 1 6 0 1 3 9 3 10 

correct output
3

user output
3

Test 16

Verdict:

input
100
417 998 721 933 0 128 302 1000...

correct output
402

user output
403

Test 17

Verdict: ACCEPTED

input
100
436 185 25 932 550 948 435 485...

correct output
402

user output
402

Test 18

Verdict: ACCEPTED

input
100
551 70 708 840 291 121 511 569...

correct output
391

user output
391

Test 19

Verdict: ACCEPTED

input
100
967 901 547 172 973 856 715 60...

correct output
395

user output
395

Test 20

Verdict: ACCEPTED

input
100
222 55 871 832 206 364 919 980...

correct output
418

user output
418

Test 21

Verdict: ACCEPTED

input
100
180 68 19 665 463 194 725 927 ...

correct output
401

user output
401

Test 22

Verdict: ACCEPTED

input
100
154 446 740 874 263 86 534 724...

correct output
409

user output
409

Test 23

Verdict: ACCEPTED

input
100
778 607 237 860 825 893 966 17...

correct output
419

user output
419

Test 24

Verdict: ACCEPTED

input
100
514 922 773 659 871 366 8 149 ...

correct output
410

user output
410

Test 25

Verdict: ACCEPTED

input
100
849 814 179 591 54 111 361 819...

correct output
381

user output
381

Test 26

Verdict: ACCEPTED

input
100
48 800 289 680 721 36 21 952 2...

correct output
446

user output
446

Test 27

Verdict: ACCEPTED

input
100
208 702 482 731 420 638 860 78...

correct output
431

user output
431

Test 28

Verdict: ACCEPTED

input
100
517 669 947 185 766 782 282 57...

correct output
417

user output
417

Test 29

Verdict:

input
100
960 294 700 52 1000 317 220 98...

correct output
483

user output
484

Test 30

Verdict: ACCEPTED

input
100
870 696 582 433 279 98 186 181...

correct output
433

user output
433

Test 31

Verdict:

input
1000
549 593 715 845 603 858 545 84...

correct output
417

user output
418

Test 32

Verdict: ACCEPTED

input
1000
417 998 721 933 0 128 302 1000...

correct output
409

user output
409

Test 33

Verdict: ACCEPTED

input
1000
436 185 25 932 550 948 435 485...

correct output
409

user output
409

Test 34

Verdict: ACCEPTED

input
1000
551 70 708 840 291 121 511 569...

correct output
416

user output
416

Test 35

Verdict: ACCEPTED

input
1000
967 901 547 172 973 856 715 60...

correct output
420

user output
420

Test 36

Verdict:

input
2000
238363352 59249203 934941691 8...

correct output
408637955

user output
408637956

Test 37

Verdict: ACCEPTED

input
2000
958701282 356460600 224848373 ...

correct output
419252506

user output
419252506

Test 38

Verdict: ACCEPTED

input
2000
81935403 244103473 837431430 3...

correct output
416082617

user output
416082617

Test 39

Verdict: ACCEPTED

input
2000
937837680 11934037 257096282 9...

correct output
417515719

user output
417515719

Test 40

Verdict: ACCEPTED

input
2000
11139167 391337047 538883743 5...

correct output
409258945

user output
409258945

Test 41

Verdict: ACCEPTED

input
10000
589284011 636562059 767928733 ...

correct output
413957321

user output
413957321

Test 42

Verdict:

input
20000
447773961 773442531 122815 137...

correct output
414852078

user output
414852079

Test 43

Verdict: ACCEPTED

input
30000
468145962 198730371 27838075 5...

correct output
410179075

user output
410179075

Test 44

Verdict: ACCEPTED

input
40000
591414746 75940262 760367934 9...

correct output
414505355

user output
414505355

Test 45

Verdict: ACCEPTED

input
50000
967034923 587586157 185430193 ...

correct output
412022071

user output
412022071

Test 46

Verdict: ACCEPTED

input
60000
238363352 59249203 934941691 8...

correct output
414871380

user output
414871380

Test 47

Verdict: ACCEPTED

input
70000
958701282 356460600 224848373 ...

correct output
413955399

user output
413955399

Test 48

Verdict: ACCEPTED

input
80000
81935403 244103473 837431430 3...

correct output
414719178

user output
414719178

Test 49

Verdict:

input
90000
937837680 11934037 257096282 9...

correct output
412407588

user output
412407589

Test 50

Verdict: ACCEPTED

input
100000
11139167 391337047 538883743 5...

correct output
413339299

user output
413339299

Test 51

Verdict:

input
200000
589284011 636562059 767928733 ...

correct output
414309243

user output
414309244

Test 52

Verdict: ACCEPTED

input
200000
447773961 773442531 122815 137...

correct output
413259631

user output
413259631

Test 53

Verdict: ACCEPTED

input
200000
468145962 198730371 27838075 5...

correct output
413293056

user output
413293056

Test 54

Verdict: ACCEPTED

input
200000
591414746 75940262 760367934 9...

correct output
414827553

user output
414827553

Test 55

Verdict:

input
200000
967034923 587586157 185430193 ...

correct output
412998578

user output
412998579