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QOJ

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
#50881#2507. 方差iee100 ✓38ms11472kbC++14995b2022-09-29 15:41:372022-09-29 15:41:40

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-09-29 15:41:40]
  • 评测
  • 测评结果:100
  • 用时:38ms
  • 内存:11472kb
  • [2022-09-29 15:41:37]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long
using namespace std;
const int N = 5e5 + 5, inf = 1e18;
int n, a[N], d[N];
int f[N], g[N];
signed main() {
  cin >> n;
  for (int i = 1; i <= n; ++i) cin >> a[i];
  for (int i = 1; i < n; ++i) d[i] = a[i + 1] - a[i];
  sort(d + 1, d + n);
  memset(f, 0x3f, sizeof f);
  int sum = 0, MX = 0;
  auto checkmin = [] (int &x, int y) {
    x = min(x, y);
  };
  f[0] = 0;
  for (int i = 1; i < n; ++i) {
    sum += d[i];
    for (int j = 0; j <= MX + i * d[i]; ++j) g[j] = inf;
    for (int s = 0; s <= MX; ++s) {
      if (f[s] >= inf) continue;
      checkmin(g[s + sum], f[s] + sum * sum);
      checkmin(g[s + i * d[i]], f[s] + i * d[i] * d[i] + 2 * s * d[i]);
    }
    MX += i * d[i];
    for (int j = 0; j <= MX; ++j)
      f[j] = g[j];
  }
  int ans = inf;
  for (int i = 0; i <= MX; ++i) {
    if (f[i] >= inf) continue;
    f[i] = f[i] * n - i * i;
    ans = min(ans, f[i]);
  }
  cout << ans;
  return 0;
}

这程序好像有点Bug,我给组数据试试?

詳細信息

Test #1:

score: 4
Accepted
time: 1ms
memory: 9524kb

input:

4
2 3 4 8

output:

83

result:

ok single line: '83'

Test #2:

score: 4
Accepted
time: 2ms
memory: 9600kb

input:

4
1 1 3 6

output:

51

result:

ok single line: '51'

Test #3:

score: 4
Accepted
time: 4ms
memory: 9468kb

input:

4
5 5 6 10

output:

59

result:

ok single line: '59'

Test #4:

score: 4
Accepted
time: 2ms
memory: 9692kb

input:

10
1 10 19 22 31 32 32 36 39 39

output:

9604

result:

ok single line: '9604'

Test #5:

score: 4
Accepted
time: 5ms
memory: 9528kb

input:

10
5 6 13 21 27 27 30 32 34 37

output:

6956

result:

ok single line: '6956'

Test #6:

score: 4
Accepted
time: 2ms
memory: 9556kb

input:

14
2 2 4 4 8 8 8 10 11 11 11 16 18 18

output:

2208

result:

ok single line: '2208'

Test #7:

score: 4
Accepted
time: 5ms
memory: 9472kb

input:

15
1 3 5 7 7 10 10 10 10 11 13 13 18 18 20

output:

4076

result:

ok single line: '4076'

Test #8:

score: 4
Accepted
time: 2ms
memory: 9416kb

input:

15
1 1 2 4 4 6 6 9 9 11 11 14 16 16 18

output:

3524

result:

ok single line: '3524'

Test #9:

score: 4
Accepted
time: 2ms
memory: 9556kb

input:

20
70 75 87 93 93 96 102 111 116 128 142 169 189 194 206 215 215 215 230 240

output:

613931

result:

ok single line: '613931'

Test #10:

score: 4
Accepted
time: 5ms
memory: 7524kb

input:

20
45 56 68 90 111 145 154 155 161 171 176 187 190 196 201 216 222 280 280 280

output:

955084

result:

ok single line: '955084'

Test #11:

score: 4
Accepted
time: 7ms
memory: 7504kb

input:

20
20 52 88 96 102 113 137 144 150 159 185 188 188 188 201 202 229 246 261 273

output:

1301784

result:

ok single line: '1301784'

Test #12:

score: 4
Accepted
time: 2ms
memory: 7592kb

input:

20
48 58 63 69 83 83 89 112 118 121 132 139 156 169 169 169 181 201 208 238

output:

742851

result:

ok single line: '742851'

Test #13:

score: 4
Accepted
time: 1ms
memory: 7596kb

input:

50
1 3 3 4 6 6 6 9 10 11 12 13 14 14 14 15 18 21 23 25 25 25 29 30 31 34 34 35 36 41 41 41 42 42 42 47 50 50 51 51 64 64 65 65 66 69 69 69 70 70

output:

329064

result:

ok single line: '329064'

Test #14:

score: 4
Accepted
time: 7ms
memory: 7456kb

input:

50
1 2 2 3 4 5 9 10 14 15 17 17 19 20 22 22 23 24 28 29 29 30 31 31 31 32 34 35 39 39 40 40 41 41 42 42 44 44 45 45 46 47 48 52 53 54 65 66 67 69

output:

393256

result:

ok single line: '393256'

Test #15:

score: 4
Accepted
time: 4ms
memory: 7620kb

input:

50
2 2 5 6 7 7 7 8 9 10 10 10 15 15 15 16 18 18 19 23 23 24 27 27 29 31 32 32 36 36 37 40 43 44 46 46 47 48 50 51 52 52 65 66 66 66 67 67 68 70

output:

336136

result:

ok single line: '336136'

Test #16:

score: 4
Accepted
time: 1ms
memory: 7516kb

input:

100
1 1 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 7 7 7 8 8 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 21 21 21 22 22 23 24 24 24 24 25 26 26 26 26 26 27 27 27 28 28 28 28 29 29 30 30 30 31 32 32 32 32 32 33 34 34 34 35 35 35 36 36 37 38 38 38 38 39 39 39 39 39 40 40 40 40

output:

302700

result:

ok single line: '302700'

Test #17:

score: 4
Accepted
time: 2ms
memory: 7452kb

input:

100
1 1 2 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 10 10 11 11 11 11 12 12 12 13 13 13 21 21 21 21 22 22 22 23 23 24 24 24 24 24 25 26 26 26 26 26 26 26 27 27 28 28 28 28 28 29 29 29 30 30 30 30 31 31 31 31 31 32 33 34 34 35 35 35 35 35 35 37 37 38 38 38 38 39

output:

276964

result:

ok single line: '276964'

Test #18:

score: 4
Accepted
time: 5ms
memory: 7528kb

input:

100
1 1 1 2 3 3 3 3 3 3 4 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 10 10 10 11 11 13 13 13 13 21 21 21 22 22 22 22 23 23 23 23 23 23 23 24 24 24 25 25 26 27 27 27 27 28 28 28 29 29 29 29 30 30 30 31 32 32 32 33 33 34 34 34 34 34 35 35 36 37 37 37 37 37 37 38 38 38 38 39 40 40 40

output:

302700

result:

ok single line: '302700'

Test #19:

score: 4
Accepted
time: 12ms
memory: 9160kb

input:

400
1 1 2 2 3 4 4 5 5 6 6 6 6 7 8 8 8 10 10 10 11 11 11 11 11 11 12 12 12 12 13 14 14 15 15 15 16 16 17 18 18 18 19 20 22 23 29 29 30 31 31 32 32 32 33 33 34 34 35 35 35 36 37 37 37 37 37 37 37 37 37 38 38 38 38 38 38 39 39 40 41 42 46 47 48 49 49 50 50 50 51 51 52 52 53 53 53 53 55 56 56 56 58 58 5...

output:

266737600

result:

ok single line: '266737600'

Test #20:

score: 4
Accepted
time: 17ms
memory: 8948kb

input:

400
1 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 7 8 9 10 10 16 17 18 19 19 20 20 20 20 20 21 22 23 23 24 25 25 25 25 25 25 25 25 26 26 27 27 28 29 29 29 29 29 29 29 30 30 30 30 30 30 30 30 30 30 30 31 31 32 33 34 34 35 35 35 35 37 37 38 38 38 38 39 39 40 43 44 45 45 45 45 46 47 48 49 50 50 50 58 59 59...

output:

271813084

result:

ok single line: '271813084'

Test #21:

score: 4
Accepted
time: 10ms
memory: 9000kb

input:

400
1 1 1 2 3 3 4 5 5 5 5 5 5 5 6 6 6 7 7 9 9 9 10 11 12 12 12 13 13 14 14 15 16 17 17 18 18 18 18 18 18 19 20 20 20 21 21 22 23 23 24 25 26 27 27 28 28 30 30 31 31 32 33 33 33 34 34 34 35 35 35 36 36 36 37 38 39 39 40 40 41 41 41 42 42 42 42 43 44 45 46 46 46 46 47 47 48 48 49 50 51 51 52 53 58 58 ...

output:

263380775

result:

ok single line: '263380775'

Test #22:

score: 4
Accepted
time: 10ms
memory: 8936kb

input:

400
1 2 3 4 5 5 5 14 15 15 15 16 16 16 17 18 18 18 18 19 19 19 20 21 26 27 28 29 29 29 29 29 30 30 31 31 31 31 32 33 34 34 34 35 36 37 37 37 38 39 40 40 41 41 43 44 44 45 46 46 46 47 47 48 49 50 50 50 51 52 52 55 55 55 56 57 57 57 58 58 58 59 59 59 59 60 62 63 64 64 64 65 65 65 66 66 67 68 68 68 69 ...

output:

256248151

result:

ok single line: '256248151'

Test #23:

score: 4
Accepted
time: 20ms
memory: 11464kb

input:

10000
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

104249375

result:

ok single line: '104249375'

Test #24:

score: 4
Accepted
time: 38ms
memory: 11396kb

input:

10000
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

104249375

result:

ok single line: '104249375'

Test #25:

score: 4
Accepted
time: 32ms
memory: 11472kb

input:

10000
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

104249375

result:

ok single line: '104249375'

Extra Test:

score: 0
Extra Test Passed