QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#270291#7753. Energy Distributionucup-team859#AC ✓932ms4052kbC++143.0kb2023-11-30 18:12:442024-10-31 10:27:10

Judging History

你现在查看的是最新测评结果

  • [2024-10-31 10:27:10]
  • 自动重测本题所有获得100分的提交记录
  • 测评结果:AC
  • 用时:932ms
  • 内存:4052kb
  • [2024-10-31 10:22:30]
  • hack成功,自动添加数据
  • (/hack/1089)
  • [2023-11-30 18:12:44]
  • 评测
  • 测评结果:100
  • 用时:926ms
  • 内存:4092kb
  • [2023-11-30 18:12:44]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using namespace chrono;

using ll = long long;
using ull = unsigned long long;

string to_string(const string &s) {
  return '"' + s + '"';
}

string to_string(bool b) {
  return b ? "true" : "false";
}

template <typename A, typename B>
string to_string(const pair<A, B> &p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename T>
string to_string(const T &v) {
  string s = "{";
  bool first = true;
  for (const auto &it : v) {
    if (!first)
      s += ", ";
    else
      first = false;
    s += to_string(it);
  }
  return s += "}";
}

void debug_out() {
  cerr << endl;
}

template <typename T, typename... Args>
void debug_out(const T &first, const Args&... rest) {
  cerr << to_string(first) << " ";
  debug_out(rest...);
}

#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

auto startTime = high_resolution_clock::now();
int get_time() {
  auto stopTime = chrono::high_resolution_clock::now();
  auto duration = duration_cast<milliseconds>(stopTime - startTime);
  return duration.count(); // in ms
}

using ld = long double;

int n;
int w[11][11];
vector<ld> steps;

ld eval(vector<ld> &p) {
  ld sum = 0;
  for (int i = 1; i <= n; ++i) {
    for (int j = i + 1; j <= n; ++j)
      sum += p[i] * p[j] * w[i][j];
  }

  return sum;
}

void norm(vector<ld> &p) {
  ld sum = 0;
  for (int i = 1; i <= n; ++i)
    sum += p[i];

  for (int i = 1; i <= n; ++i)
    p[i] /= sum;
}


ld run_regr(vector<ld> &p) {
  while (get_time() <= 950) {
    ld best = eval(p), df;
    int pos = -1;
    vector<ld> aux = p;
    for (int i = 1; i <= n; ++i) {
      for (auto eps : steps) {
        p[i] += eps;
        norm(p);
        ld res = eval(p);
        if (res > best) {
          best = res;
          df = eps;
          pos = i;
        }
        p = aux;

        p[i] -= eps;
        if (p[i] >= 0) {
          norm(p);
          ld res = eval(p);
          if (res > best) {
            best = res;
            df = -eps;
            pos = i;
          }
        }
        p = aux;
      }
    }

    if (pos == -1) {
      return best;
    }

    p[pos] += df;
    norm(p);
  }

  return eval(p);
}

void solve() {
  cin >> n;
  for (int i = 1; i <= n; ++i) {
    for (int j = 1; j <= n; ++j) {
      cin >> w[i][j];
    }
  }

  ld step = 0.1;
  for (int i = 1; i <= 80; ++i) {
    steps.push_back(step);
    step /= 2;
  }

  vector<ld> p(n + 1, 0);
  ld best = 0;
  while (get_time() <= 900) {
    auto dis = uniform_real_distribution<ld>(0, 1);
    for (int i = 1; i <= n; ++i)
      p[i] = dis(rng);

    norm(p);
    best = max(best, run_regr(p));
  }
  cout << fixed << setprecision(20) << best << "\n";
}

int main() {
  cin.tie(NULL);
  ios_base::sync_with_stdio(false);

  int t = 1;
//  cin >> t;
  while (t--)
    solve();

  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: 900ms
memory: 3876kb

input:

2
0 1
1 0

output:

0.25000000000000000003

result:

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

Test #2:

score: 0
Accepted
time: 902ms
memory: 3860kb

input:

3
0 2 1
2 0 2
1 2 0

output:

0.57142857142857142873

result:

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

Test #3:

score: 0
Accepted
time: 902ms
memory: 3924kb

input:

3
0 1 2
1 0 1
2 1 0

output:

0.50000000000000000011

result:

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

Test #4:

score: 0
Accepted
time: 902ms
memory: 3888kb

input:

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

output:

0.75000000000000000011

result:

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

Test #5:

score: 0
Accepted
time: 899ms
memory: 3952kb

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:

1.00000000000000000022

result:

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

Test #6:

score: 0
Accepted
time: 904ms
memory: 3896kb

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:

2.85714285714285714341

result:

ok found '2.8571429', expected '2.8571430', error '0.0000000'

Test #7:

score: 0
Accepted
time: 908ms
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:

12.51158480074142724785

result:

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

Test #8:

score: 0
Accepted
time: 914ms
memory: 3836kb

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:

25.00911789652247667337

result:

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

Test #9:

score: 0
Accepted
time: 913ms
memory: 3884kb

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:

119.00000000000000000694

result:

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

Test #10:

score: 0
Accepted
time: 932ms
memory: 3828kb

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:

240.24999999999999995837

result:

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

Test #11:

score: 0
Accepted
time: 924ms
memory: 3896kb

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:

327.37365896668571096928

result:

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

Test #12:

score: 0
Accepted
time: 926ms
memory: 3824kb

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:

155.37035814503532016317

result:

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

Test #13:

score: 0
Accepted
time: 903ms
memory: 3900kb

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:

3.13327370304114490051

result:

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

Test #14:

score: 0
Accepted
time: 910ms
memory: 3788kb

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:

29.54294684842743354790

result:

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

Test #15:

score: 0
Accepted
time: 906ms
memory: 3856kb

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:

59.38341049716585175536

result:

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

Test #16:

score: 0
Accepted
time: 926ms
memory: 3828kb

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:

225.99999999999999997224

result:

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

Test #17:

score: 0
Accepted
time: 929ms
memory: 3884kb

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:

272.27105674229199855363

result:

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

Test #18:

score: 0
Accepted
time: 917ms
memory: 4052kb

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:

1.25000000000000000000

result:

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

Test #19:

score: 0
Accepted
time: 923ms
memory: 3888kb

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:

0.25000000000000000003

result:

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

Test #20:

score: 0
Accepted
time: 900ms
memory: 3876kb

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:

245.49999999999999995837

result:

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

Test #21:

score: 0
Accepted
time: 902ms
memory: 3820kb

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:

0.00000000000000000000

result:

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

Extra Test:

score: 0
Extra Test Passed