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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
#243289#7753. Energy DistributionQingyuAC ✓1ms3952kbC++2.3kb2023-11-08 00:16:392024-10-31 10:22:31

Judging History

你现在查看的是最新测评结果

  • [2024-10-31 10:22:31]
  • 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:3952kb
  • [2024-10-31 10:22:30]
  • hack成功,自动添加数据
  • (/hack/1089)
  • [2023-11-08 00:16:39]
  • 评测
  • 测评结果:100
  • 用时:1ms
  • 内存:3948kb
  • [2023-11-08 00:16:39]
  • 提交

answer

#include <bits/stdc++.h>
#define rep(i, l, r) for (int i = l; i <= r; i++)
using namespace std;
const int N = 15;

struct solver {
    int n;
    double a[N][N], b[N];
    bool solve() {
        // rep(i, 0, n - 1) {
        //     rep(j, 0, n - 1) { printf("%lf ", a[i][j]); }
        //     printf("| %lf\n", b[i]);
        // }
        rep(i, 0, n - 1) {
            if (a[i][i] == 0) {
                int k = i + 1;
                while (k < n && a[k][i] == 0) k++;
                if (k == n) return false;
                rep(j, i, n - 1) swap(a[i][j], a[k][j]);
                swap(b[i], b[k]);
            }
            rep(j, i + 1, n - 1) a[i][j] /= a[i][i];
            b[i] /= a[i][i];
            a[i][i] = 1;
            rep(k, 0, n - 1) {
                if (k == i) continue;
                rep(j, i + 1, n - 1) a[k][j] -= a[i][j] * a[k][i];
                b[k] -= b[i] * a[k][i];
                a[k][i] = 0;
            }
        }
        // rep(i, 0, n - 1) {
        //     rep(j, 0, n - 1) { printf("%lf ", a[i][j]); }
        //     printf("| %lf\n", b[i]);
        // }
        rep(i, 0, n - 2) if (b[i] < 0) return false;

        return true;
    }
} s;

void work() {
    int n;
    int a[N][N];
    scanf("%d", &n);
    rep(i, 0, n - 1) {
        rep(j, 0, n - 1) {
            scanf("%d", &a[i][j]);
            if (i == j)
                assert(a[i][j] == 0);
            else if (i > j)
                assert(a[i][j] == a[j][i]);
        }
    }
    s.n = n + 1;
    double ans = 0;
    rep(mask, 0, (1 << n) - 1) {
        rep(i, 0, n - 1) {
            if ((mask >> i) & 1) {
                rep(j, 0, n) s.a[i][j] = (i == j);
                s.b[i] = 0;
            } else {
                rep(j, 0, n - 1) s.a[i][j] = a[i][j];
                s.a[i][n] = -1;
                s.b[i] = 0;
            }
        }
        rep(j, 0, n) s.a[n][j] = (j != n);
        s.b[n] = 1;
        if (s.solve()) {
            // printf("mask: %d\n", mask);
            // rep(i, 0, n) printf("%lf ", s.b[i]);
            double tmp = 0;
            rep(i, 0, n - 1) rep(j, i + 1, n - 1) tmp +=
                a[i][j] * s.b[i] * s.b[j];
            // printf("\nscore: %lf\n", tmp);
            if (tmp > ans) {
                ans = tmp;
            }
        }
    }
    printf("%lf\n", ans);
}

int main() {
    work();
    return 0;
}

这程序好像有点Bug,我给组数据试试?

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3944kb

input:

2
0 1
1 0

output:

0.250000

result:

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

Test #2:

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

input:

3
0 2 1
2 0 2
1 2 0

output:

0.571429

result:

ok found '0.5714290', expected '0.5714290', error '0.0000000'

Test #3:

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

input:

3
0 1 2
1 0 1
2 1 0

output:

0.500000

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:

0.750000

result:

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

Test #5:

score: 0
Accepted
time: 0ms
memory: 3896kb

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:

1.000000

result:

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

Test #6:

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

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:

2.857143

result:

ok found '2.8571430', expected '2.8571430', error '0.0000000'

Test #7:

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

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:

12.511585

result:

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

Test #8:

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

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:

25.009118

result:

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

Test #9:

score: 0
Accepted
time: 1ms
memory: 3820kb

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:

119.000000

result:

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

Test #10:

score: 0
Accepted
time: 1ms
memory: 3900kb

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:

240.250000

result:

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

Test #11:

score: 0
Accepted
time: 1ms
memory: 3892kb

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:

327.373659

result:

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

Test #12:

score: 0
Accepted
time: 1ms
memory: 3948kb

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:

155.370358

result:

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

Test #13:

score: 0
Accepted
time: 1ms
memory: 3932kb

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:

3.133274

result:

ok found '3.1332740', expected '3.1332740', error '0.0000000'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3908kb

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:

29.542947

result:

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

Test #15:

score: 0
Accepted
time: 1ms
memory: 3952kb

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:

59.383410

result:

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

Test #16:

score: 0
Accepted
time: 1ms
memory: 3896kb

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:

226.000000

result:

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

Test #17:

score: 0
Accepted
time: 1ms
memory: 3888kb

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:

272.271057

result:

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

Test #18:

score: 0
Accepted
time: 1ms
memory: 3820kb

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:

1.250000

result:

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

Test #19:

score: 0
Accepted
time: 1ms
memory: 3904kb

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:

0.250000

result:

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

Test #20:

score: 0
Accepted
time: 1ms
memory: 3840kb

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:

245.500000

result:

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

Test #21:

score: 0
Accepted
time: 1ms
memory: 3888kb

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:

0.000000

result:

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

Extra Test:

score: 0
Extra Test Passed