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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#252220#7753. Energy Distributionucup-team1447#AC ✓1ms3884kbC++142.4kb2023-11-15 16:45:322023-11-15 16:45:32

Judging History

你现在查看的是测评时间为 2023-11-15 16:45:32 的历史记录

  • [2024-10-31 10:22:47]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:1ms
  • 内存:3948kb
  • [2024-10-31 10:22:30]
  • hack成功,自动添加数据
  • (/hack/1089)
  • [2023-11-15 16:45:32]
  • 评测
  • 测评结果:100
  • 用时:1ms
  • 内存:3884kb
  • [2023-11-15 16:45:32]
  • 提交

answer

// This Code was made by Chinese_zjc_.
#include <bits/stdc++.h>
// #define debug
const double eps = 1e-8;
int n;
double w[10][10], a[10][10], b[10], c[10], ans;
double solve(int n, int w[10][10])
{
    std::memset(a, 0, sizeof(a));
    for (int i = 1; i != n; ++i)
    {
        b[i] = -w[0][i];
        for (int j = 1; j != n; ++j)
            a[i][j] -= w[0][j];
        for (int j = 1; j != n; ++j)
            a[i][j] -= w[0][i];
        for (int j = 1; j != n; ++j)
            a[i][j] += w[i][j];
    }
    // for (int i = 1; i != n; ++i)
    // {
    //     for (int j = 1; j != n; ++j)
    //         std::cout << a[i][j] << ' ';
    //     std::cout << b[i] << std::endl;
    // }
    for (int i = 1; i != n; ++i)
    {
        for (int j = i; j != n; ++j)
            if (std::abs(a[i][j]) > eps)
            {
                std::swap(a[i], a[j]);
                std::swap(b[i], b[j]);
                break;
            }
        double v = 1.0 / a[i][i];
        for (int j = 0; j != n; ++j)
            a[i][j] *= v;
        b[i] *= v;
        for (int j = 0; j != n; ++j)
            if (i != j)
            {
                v = a[j][i];
                for (int k = 0; k != n; ++k)
                    a[j][k] -= v * a[i][k];
                b[j] -= v * b[i];
            }
    }
    for (int i = 1; i != n; ++i)
        c[i] = b[i] / a[i][i];
    c[0] = 1 - std::accumulate(c + 1, c + n, 0.0);
    double res = 0;
    for (int i = 0; i != n; ++i)
        for (int j = 0; j != i; ++j)
            res += c[i] * c[j] * w[i][j];
    // for (int i = 0; i != n; ++i)
    //     std::cout << c[i] << " \n"[i + 1 == n];
    for (int i = 0; i != n; ++i)
        if (c[i] < 0)
            return 0;
    return res;
}
signed main()
{
    std::ios::sync_with_stdio(false);
    std::cin >> n;
    for (int i = 0; i != n; ++i)
        for (int j = 0; j != n; ++j)
            std::cin >> w[i][j];
    for (int i = 1; i != 1 << n; ++i)
    {
        int id[10], cnt = 0;
        for (int j = 0; j != n; ++j)
            if (i >> j & 1)
                id[cnt++] = j;
        int v[10][10];
        std::memset(v, 0, sizeof(v));
        for (int j = 0; j != cnt; ++j)
            for (int k = 0; k != cnt; ++k)
                v[j][k] = w[id[j]][id[k]];
        ans = std::max(ans, solve(cnt, v));
    }
    std::cout << std::fixed << std::setprecision(10) << ans << std::endl;
    return 0;
}

这程序好像有点Bug,我给组数据试试?

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3884kb

input:

2
0 1
1 0

output:

0.2500000000

result:

ok found '0.2500000', expected '0.2500000', error '0.0000000'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

3
0 2 1
2 0 2
1 2 0

output:

0.5714285714

result:

ok found '0.5714286', expected '0.5714290', error '0.0000004'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3864kb

input:

3
0 1 2
1 0 1
2 1 0

output:

0.5000000000

result:

ok found '0.5000000', expected '0.5000000', error '0.0000000'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

4
0 3 1 0
3 0 1 0
1 1 0 2
0 0 2 0

output:

0.7500000000

result:

ok found '0.7500000', expected '0.7500000', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3688kb

input:

5
0 0 0 4 4
0 0 2 0 4
0 2 0 2 0
4 0 2 0 0
4 4 0 0 0

output:

1.0000000000

result:

ok found '1.0000000', expected '1.0000000', error '0.0000000'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3804kb

input:

6
0 9 5 5 10 6
9 0 0 0 0 1
5 0 0 0 3 0
5 0 0 0 10 5
10 0 3 10 0 0
6 1 0 5 0 0

output:

2.8571428571

result:

ok found '2.8571429', expected '2.8571430', error '0.0000001'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

7
0 0 0 0 50 10 45
0 0 0 0 0 3 1
0 0 0 0 0 4 16
0 0 0 0 44 0 0
50 0 0 44 0 37 6
10 3 4 0 37 0 2
45 1 16 0 6 2 0

output:

12.5115848007

result:

ok found '12.5115848', expected '12.5115850', error '0.0000000'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3812kb

input:

8
0 0 56 0 0 58 16 0
0 0 37 20 0 82 0 0
56 37 0 0 98 0 83 0
0 20 0 0 0 0 100 0
0 0 98 0 0 62 29 0
58 82 0 0 62 0 43 0
16 0 83 100 29 43 0 4
0 0 0 0 0 0 4 0

output:

25.0091178965

result:

ok found '25.0091179', expected '25.0091180', error '0.0000000'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3872kb

input:

9
0 0 0 135 0 0 0 448 476
0 0 0 0 0 0 208 17 0
0 0 0 467 1 0 0 0 134
135 0 467 0 0 0 92 369 207
0 0 1 0 0 176 0 235 0
0 0 0 0 176 0 65 363 413
0 208 0 92 0 65 0 0 0
448 17 0 369 235 363 0 0 0
476 0 134 207 0 413 0 0 0

output:

119.0000000000

result:

ok found '119.0000000', expected '119.0000000', error '0.0000000'

Test #10:

score: 0
Accepted
time: 1ms
memory: 3868kb

input:

10
0 0 0 289 0 397 0 0 140 155
0 0 28 101 35 614 0 0 545 300
0 28 0 0 329 702 0 242 0 298
289 101 0 0 0 0 0 0 720 0
0 35 329 0 0 0 0 38 0 0
397 614 702 0 0 0 229 0 0 0
0 0 0 0 0 229 0 317 0 0
0 0 242 0 38 0 317 0 961 309
140 545 0 720 0 0 0 961 0 92
155 300 298 0 0 0 0 309 92 0

output:

240.2500000000

result:

ok found '240.2500000', expected '240.2500000', error '0.0000000'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

10
0 295 2 809 333 880 284 305 41 295
295 0 512 1000 281 153 42 550 962 930
2 512 0 727 709 969 665 973 301 410
809 1000 727 0 282 551 960 804 274 956
333 281 709 282 0 613 505 406 896 441
880 153 969 551 613 0 769 770 40 288
284 42 665 960 505 769 0 919 989 490
305 550 973 804 406 770 919 0 400 209...

output:

327.3736589667

result:

ok found '327.3736590', expected '327.3736590', error '0.0000000'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3872kb

input:

10
0 403 2 164 0 399 279 156 109 472
403 0 292 279 100 326 153 124 103 426
2 292 0 0 58 87 0 177 324 334
164 279 0 0 256 188 0 257 467 23
0 100 58 256 0 453 75 21 0 309
399 326 87 188 453 0 0 319 395 434
279 153 0 0 75 0 0 342 431 72
156 124 177 257 21 319 342 0 265 0
109 103 324 467 0 395 431 265 0...

output:

155.3703581450

result:

ok found '155.3703581', expected '155.3703580', error '0.0000000'

Test #13:

score: 0
Accepted
time: 1ms
memory: 3676kb

input:

10
0 3 10 8 0 3 3 8 9 6
3 0 6 10 0 10 9 9 4 9
10 6 0 7 1 5 6 8 0 0
8 10 7 0 10 6 0 6 9 4
0 0 1 10 0 1 0 2 0 1
3 10 5 6 1 0 6 4 0 4
3 9 6 0 0 6 0 10 0 8
8 9 8 6 2 4 10 0 0 2
9 4 0 9 0 0 0 0 0 10
6 9 0 4 1 4 8 2 10 0

output:

3.1332737030

result:

ok found '3.1332737', expected '3.1332740', error '0.0000001'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3680kb

input:

10
0 52 25 22 39 47 85 63 8 2
52 0 0 87 2 20 50 87 88 6
25 0 0 77 27 58 81 0 98 0
22 87 77 0 28 0 49 53 59 0
39 2 27 28 0 0 65 76 0 0
47 20 58 0 0 0 88 0 0 3
85 50 81 49 65 88 0 60 85 1
63 87 0 53 76 0 60 0 76 88
8 88 98 59 0 0 85 76 0 0
2 6 0 0 0 3 1 88 0 0

output:

29.5429468484

result:

ok found '29.5429468', expected '29.5429470', error '0.0000000'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

10
0 79 0 192 19 79 0 0 0 0
79 0 0 0 164 100 74 0 26 176
0 0 0 0 184 153 152 0 0 39
192 0 0 0 0 90 54 0 18 0
19 164 184 0 0 195 107 0 8 53
79 100 153 90 195 0 0 124 96 149
0 74 152 54 107 0 0 181 28 0
0 0 0 0 0 124 181 0 0 3
0 26 0 18 8 96 28 0 0 0
0 176 39 0 53 149 0 3 0 0

output:

59.3834104972

result:

ok found '59.3834105', expected '59.3834100', error '0.0000000'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3684kb

input:

10
0 416 0 476 0 0 2 0 204 750
416 0 0 850 0 0 471 0 835 67
0 0 0 0 184 274 0 135 557 709
476 850 0 0 904 0 0 556 0 0
0 0 184 904 0 141 0 0 0 0
0 0 274 0 141 0 0 167 486 0
2 471 0 0 0 0 0 0 617 0
0 0 135 556 0 167 0 0 241 226
204 835 557 0 0 486 617 241 0 0
750 67 709 0 0 0 0 226 0 0

output:

226.0000000000

result:

ok found '226.0000000', expected '226.0000000', error '0.0000000'

Test #17:

score: 0
Accepted
time: 1ms
memory: 3876kb

input:

10
0 777 0 543 382 5 266 0 255 250
777 0 0 0 0 0 566 637 0 469
0 0 0 0 183 671 0 711 335 294
543 0 0 0 929 475 0 925 0 46
382 0 183 929 0 777 674 399 0 732
5 0 671 475 777 0 0 814 453 0
266 566 0 0 674 0 0 0 0 703
0 637 711 925 399 814 0 0 654 928
255 0 335 0 0 453 0 654 0 0
250 469 294 46 732 0 703...

output:

272.2710567423

result:

ok found '272.2710567', expected '272.2710570', error '0.0000000'

Test #18:

score: 0
Accepted
time: 0ms
memory: 3860kb

input:

10
0 1 0 0 0 0 4 0 0 0
1 0 0 2 3 0 5 0 0 0
0 0 0 1 0 0 0 0 0 0
0 2 1 0 0 2 3 0 0 3
0 3 0 0 0 0 0 0 0 1
0 0 0 2 0 0 4 0 0 0
4 5 0 3 0 4 0 0 3 0
0 0 0 0 0 0 0 0 0 5
0 0 0 0 0 0 3 0 0 1
0 0 0 3 1 0 0 5 1 0

output:

1.2500000000

result:

ok found '1.2500000', expected '1.2500000', error '0.0000000'

Test #19:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

10
0 0 1 0 0 1 0 0 0 0
0 0 0 0 0 0 0 1 0 0
1 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 1 0 1
0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 0 1
0 1 1 1 0 1 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 1 0 0 1 0 0 0

output:

0.2500000000

result:

ok found '0.2500000', expected '0.2500000', error '0.0000000'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3768kb

input:

10
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 622 0 0 0 0 0 0
0 0 622 0 0 0 0 0 0 585
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 982
0 0 0 0 0 0 0 0 0 0
0 0 0 585 0 0 0 982 0 0

output:

245.5000000000

result:

ok found '245.5000000', expected '245.5000000', error '0.0000000'

Test #21:

score: 0
Accepted
time: 1ms
memory: 3856kb

input:

10
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0

output:

0.0000000000

result:

ok found '0.0000000', expected '0.0000000', error '-0.0000000'

Extra Test:

score: 0
Extra Test Passed