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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#213948#2380. 中位数Filberte1001355ms5908kbC++111006b2024-11-14 19:43:372024-11-14 23:03:48

answer

#include <bits/stdc++.h>
#define ll long long 
using namespace std;
const int N = 3e5 + 100;
int Mx;
int n, a[N], v[N], c[N];
int t[N << 1];
int lowbit(int x){return x & -x;}
void init(){memset(t, 0, sizeof(t));}
void add(int x){for(;x <= Mx;x += lowbit(x)) t[x]++;}
ll qry(int x){ll r = 0;for(;x;x -= lowbit(x)) r += t[x];return r;}
ll ned;
bool chk(int val){
    int s = n + 1;ll cnt = 0;
    init();add(s);
    for(int i = 1;i <= n;i++){
        s += (a[i] <= val) ? 1 : -1;
        cnt += qry(s); 
        add(s);
    }
    return cnt >= ned;
}
int32_t main(){
    cin >> n;
    ned = (1ll * n * (n + 1) / 2 + 1) / 2;Mx = 2 * (n + 1);
    for(int i = 1;i <= n;i++){
        cin >> a[i];
        v[i] = a[i];
    }
    sort(v + 1, v + 1 + n);
    int lft = 1, rit = n, ans = -1;
    while(lft <= rit){
        int mid = (lft + rit) >> 1;
        if(chk(v[mid])) ans = v[mid], rit = mid - 1;
        else lft = mid + 1;
    }
    cout << ans << endl;
    return 0;
}

详细

小提示:点击横条可展开更详细的信息

Test #1:

score: 10
Accepted
time: 3ms
memory: 3568kb

input:

200
247837946 222748444 549404903 934970141 181690491 116150147 755881953 912914845 578004877 589768...

output:

411892743

result:

ok 1 number(s): "411892743"

Test #2:

score: 10
Accepted
time: 0ms
memory: 3572kb

input:

200
504553675 321343511 781936447 172776833 779139954 643752948 106 164 303976944 828799931 11502170...

output:

451369372

result:

ok 1 number(s): "451369372"

Test #3:

score: 10
Accepted
time: 2ms
memory: 3572kb

input:

200
738368650 91602659 340556191 835209882 409442204 656938221 258295858 90658347 126689369 56196859...

output:

420852999

result:

ok 1 number(s): "420852999"

Test #4:

score: 10
Accepted
time: 6ms
memory: 3608kb

input:

5000
300051244 685920750 122806687 315801142 33592358 339985437 262520930 380010194 687330910 550362...

output:

465193387

result:

ok 1 number(s): "465193387"

Test #5:

score: 10
Accepted
time: 6ms
memory: 3608kb

input:

5000
108135249 950186870 146626753 682580494 744412491 4159 995071655 157947560 668940645 878891308 ...

output:

466892796

result:

ok 1 number(s): "466892796"

Test #6:

score: 10
Accepted
time: 6ms
memory: 3608kb

input:

5000
246610103 780664789 678774940 716124165 518453378 300121008 135383319 939869983 430946660 13412...

output:

470507384

result:

ok 1 number(s): "470507384"

Test #7:

score: 10
Accepted
time: 299ms
memory: 5908kb

input:

300000
786856547 380253059 684225515 795392038 881780483 18437791 793783577 832330260 801624996 3466...

output:

463539280

result:

ok 1 number(s): "463539280"

Test #8:

score: 10
Accepted
time: 415ms
memory: 5908kb

input:

300000
951000485 930070933 3566360 157114366 150196488 611226665 123590886 950624066 472150346 57976...

output:

462334620

result:

ok 1 number(s): "462334620"

Test #9:

score: 10
Accepted
time: 308ms
memory: 5908kb

input:

300000
728509094 406128756 696166390 756254976 31403187 672131182 35544213 870708756 3659210 5227553...

output:

464162969

result:

ok 1 number(s): "464162969"

Test #10:

score: 10
Accepted
time: 310ms
memory: 5904kb

input:

300000
804874490 52247250 546638789 400214210 383796618 47995083 814777769 507157584 466189162 28296...

output:

463577194

result:

ok 1 number(s): "463577194"

Extra Test:

score: 0
Extra Test Passed