Submission details
Task:Establish equality
Sender:aalto26bm_025
Submission time:2026-09-07 17:33:44 +0300
Language:Python3 (PyPy3)
Status:READY
Result:
Test results
testverdicttime
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Code

import sys
import bisect

def solve():
    data = sys.stdin.read().split()
    n = int(data[0])
    b = list(map(int, data[1:1+n]))
    b.sort()
    S = sum(b)

    prefix = [0]*(n+1)
    for i in range(n):
        prefix[i+1] = prefix[i] + b[i]

    def f(k):
        idx = bisect.bisect_right(b, k)         
        sum_less = prefix[idx]
        D_part = sum_less - k * idx              

        sum_ge = prefix[n] - prefix[idx]
        count_ge = n - idx
        S_part = sum_ge - k * count_ge

        return S_part + D_part

    lo, hi = 0, S // n if n > 0 else 0
    while lo < hi:
        mid = (lo + hi) // 2             
        if f(mid) >= 0:
            lo = mid
        else:
            hi = mid - 1

    print(lo)

if __name__ == "__main__":
    solve()

Test details

Test 1

Verdict:

input
1

correct output
4

user output
(empty)

Test 2

Verdict:

input
2
4 2 

correct output
2

user output
(empty)

Test 3

Verdict:

input
2
6 0 

correct output
2

user output
(empty)

Test 4

Verdict:

input
3
10 9 6 

correct output
7

user output
(empty)

Test 5

Verdict:

input
6
2 0 9 9 2 4 

correct output
3

user output
(empty)

Test 6

Verdict:

input
10
4 10 7 10 0 1 3 10 1 2 

correct output
3

user output
(empty)

Test 7

Verdict:

input
10
4 2 0 10 6 10 4 5 4 3 

correct output
4

user output
(empty)

Test 8

Verdict:

input
10
6 0 7 9 3 1 5 6 9 4 

correct output
3

user output
(empty)

Test 9

Verdict:

input
10
10 9 6 1 10 9 7 6 7 6 

correct output
6

user output
(empty)

Test 10

Verdict:

input
10
2 0 9 9 2 4 10 10 5 0 

correct output
3

user output
(empty)

Test 11

Verdict:

input
10
1 0 0 7 5 2 7 10 4 1 

correct output
2

user output
(empty)

Test 12

Verdict:

input
10
1 4 8 9 2 0 5 7 0 3 

correct output
2

user output
(empty)

Test 13

Verdict:

input
10
8 6 2 9 9 9 10 1 10 8 

correct output
6

user output
(empty)

Test 14

Verdict:

input
10
5 10 8 7 9 4 0 1 3 2 

correct output
3

user output
(empty)

Test 15

Verdict:

input
10
9 8 1 6 0 1 3 9 3 10 

correct output
3

user output
(empty)

Test 16

Verdict:

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

correct output
402

user output
(empty)

Test 17

Verdict:

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

correct output
402

user output
(empty)

Test 18

Verdict:

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

correct output
391

user output
(empty)

Test 19

Verdict:

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

correct output
395

user output
(empty)

Test 20

Verdict:

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

correct output
418

user output
(empty)

Test 21

Verdict:

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

correct output
401

user output
(empty)

Test 22

Verdict:

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

correct output
409

user output
(empty)

Test 23

Verdict:

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

correct output
419

user output
(empty)

Test 24

Verdict:

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

correct output
410

user output
(empty)

Test 25

Verdict:

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

correct output
381

user output
(empty)

Test 26

Verdict:

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

correct output
446

user output
(empty)

Test 27

Verdict:

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

correct output
431

user output
(empty)

Test 28

Verdict:

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

correct output
417

user output
(empty)

Test 29

Verdict:

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

correct output
483

user output
(empty)

Test 30

Verdict:

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

correct output
433

user output
(empty)

Test 31

Verdict:

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

correct output
417

user output
(empty)

Test 32

Verdict:

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

correct output
409

user output
(empty)

Test 33

Verdict:

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

correct output
409

user output
(empty)

Test 34

Verdict:

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

correct output
416

user output
(empty)

Test 35

Verdict:

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

correct output
420

user output
(empty)

Test 36

Verdict:

input
2000
238363352 59249203 934941691 8...

correct output
408637955

user output
(empty)

Test 37

Verdict:

input
2000
958701282 356460600 224848373 ...

correct output
419252506

user output
(empty)

Test 38

Verdict:

input
2000
81935403 244103473 837431430 3...

correct output
416082617

user output
(empty)

Test 39

Verdict:

input
2000
937837680 11934037 257096282 9...

correct output
417515719

user output
(empty)

Test 40

Verdict:

input
2000
11139167 391337047 538883743 5...

correct output
409258945

user output
(empty)

Test 41

Verdict:

input
10000
589284011 636562059 767928733 ...

correct output
413957321

user output
(empty)

Test 42

Verdict:

input
20000
447773961 773442531 122815 137...

correct output
414852078

user output
(empty)

Test 43

Verdict:

input
30000
468145962 198730371 27838075 5...

correct output
410179075

user output
(empty)

Test 44

Verdict:

input
40000
591414746 75940262 760367934 9...

correct output
414505355

user output
(empty)

Test 45

Verdict:

input
50000
967034923 587586157 185430193 ...

correct output
412022071

user output
(empty)

Test 46

Verdict:

input
60000
238363352 59249203 934941691 8...

correct output
414871380

user output
(empty)

Test 47

Verdict:

input
70000
958701282 356460600 224848373 ...

correct output
413955399

user output
(empty)

Test 48

Verdict:

input
80000
81935403 244103473 837431430 3...

correct output
414719178

user output
(empty)

Test 49

Verdict:

input
90000
937837680 11934037 257096282 9...

correct output
412407588

user output
(empty)

Test 50

Verdict:

input
100000
11139167 391337047 538883743 5...

correct output
413339299

user output
(empty)

Test 51

Verdict:

input
200000
589284011 636562059 767928733 ...

correct output
414309243

user output
(empty)

Test 52

Verdict:

input
200000
447773961 773442531 122815 137...

correct output
413259631

user output
(empty)

Test 53

Verdict:

input
200000
468145962 198730371 27838075 5...

correct output
413293056

user output
(empty)

Test 54

Verdict:

input
200000
591414746 75940262 760367934 9...

correct output
414827553

user output
(empty)

Test 55

Verdict:

input
200000
967034923 587586157 185430193 ...

correct output
412998578

user output
(empty)