ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#213967 | #2380. 中位数 | nodgd | 100 | 1141ms | 5884kb | C++11 | 1.1kb | 2024-11-14 20:16:08 | 2024-11-14 23:05:44 |
answer
#include <bits/stdc++.h>
using namespace std;
const int MAX_N = 300000 + 5;
int N, A, a[MAX_N], av[MAX_N];
int c[MAX_N << 1];
bool check(int m) {
for (int i = 1; i <= N << 1; i ++) {
c[i] = 0;
}
long long cnt = 0;
for (int i = 1, s = N; i <= N; i ++) {
for (int j = s; j >= 1; j -= j & -j) {
c[j] ++;
}
s += a[i] <= m ? -1 : 1;
for (int j = s; j <= N << 1; j += j & -j) {
cnt += c[j];
}
}
return cnt >= N * (N + 1ll) / 2 + 1 >> 1;
}
int main() {
scanf("%d", &N);
for (int i = 1; i <= N; i ++) {
scanf("%d", &a[i]);
av[i] = a[i];
}
sort(av + 1, av + 1 + N);
A = unique(av + 1, av + 1 + N) - av - 1;
for (int i = 1; i <= N; i ++) {
a[i] = lower_bound(av + 1, av + 1 + A, a[i]) - av;
}
int l = 1, r = A;
while (l < r) {
int mid = l + r >> 1;
if (check(mid)) {
r = mid;
} else {
l = mid + 1;
}
}
printf("%d\n", av[l]);
return 0;
}
Details
小提示:点击横条可展开更详细的信息
Test #1:
score: 10
Accepted
time: 0ms
memory: 1216kb
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: 1216kb
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: 0ms
memory: 1220kb
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: 3ms
memory: 1288kb
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: 3ms
memory: 1284kb
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: 3ms
memory: 1284kb
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: 250ms
memory: 5880kb
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: 362ms
memory: 5884kb
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: 259ms
memory: 5880kb
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: 261ms
memory: 5884kb
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