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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#446025#8774. Manhattan Walkw4p3rAC ✓14ms11828kbC++20911b2024-06-16 19:51:112024-06-16 19:51:12

Judging History

你现在查看的是最新测评结果

  • [2024-06-16 19:51:12]
  • 评测
  • 测评结果:AC
  • 用时:14ms
  • 内存:11828kb
  • [2024-06-16 19:51:11]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define N 1010

typedef double db;

db f[N][N];
int n, m; db p;
db Int(db l, db r) {return 1.0 * r * r / 2.0 - 1.0 * l * l / 2.0;}
int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);

    cin >> n >> m >> p;
    for (int i = 0; i < n; i ++)
    {
        for (int j = 0; j < m; j ++)
        {
            if (i == 0 && j == 0) continue;
            if (i == 0) {f[i][j] = f[i][j - 1] + p / 4.0; continue;}
            if (j == 0) {f[i][j] = f[i - 1][j] + p / 4.0; continue;}
            
            db x = f[i - 1][j], y = f[i][j - 1];
            if (x > y) swap(x, y);
            f[i][j] += x / 2.0;
            if(y - x <= p) f[i][j] += (Int(x, y) + y * (p - (y - x))) / 2.0 / p;
            else f[i][j] += (Int(x, x + p) / 2.0 / p);
        }
    }


    cout << fixed << setprecision(10) << f[n - 1][m - 1] << '\n'; 
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3848kb

input:

2 3 8

output:

2.8750000000

result:

ok found '2.8750000', expected '2.8750000', error '0.0000000'

Test #2:

score: 0
Accepted
time: 1ms
memory: 5956kb

input:

5 5 5

output:

2.4322338689

result:

ok found '2.4322339', expected '2.4322339', error '0.0000000'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3716kb

input:

1 1 1

output:

0.0000000000

result:

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

Test #4:

score: 0
Accepted
time: 11ms
memory: 11600kb

input:

1000 1000 1000000000

output:

1782317138.8083765507

result:

ok found '1782317138.8083766', expected '1782317138.8083761', error '0.0000000'

Test #5:

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

input:

1 4 5

output:

3.7500000000

result:

ok found '3.7500000', expected '3.7500000', error '0.0000000'

Test #6:

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

input:

4 1 5

output:

3.7500000000

result:

ok found '3.7500000', expected '3.7500000', error '0.0000000'

Test #7:

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

input:

1 1 1000000000

output:

0.0000000000

result:

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

Test #8:

score: 0
Accepted
time: 0ms
memory: 3920kb

input:

1 2 1000000000

output:

250000000.0000000000

result:

ok found '250000000.0000000', expected '250000000.0000000', error '0.0000000'

Test #9:

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

input:

2 1 1000000000

output:

250000000.0000000000

result:

ok found '250000000.0000000', expected '250000000.0000000', error '0.0000000'

Test #10:

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

input:

1 2 1

output:

0.2500000000

result:

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

Test #11:

score: 0
Accepted
time: 0ms
memory: 3976kb

input:

2 1 1

output:

0.2500000000

result:

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

Test #12:

score: 0
Accepted
time: 0ms
memory: 3852kb

input:

1 10 3

output:

6.7500000000

result:

ok found '6.7500000', expected '6.7500000', error '0.0000000'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3936kb

input:

10 1 3

output:

6.7500000000

result:

ok found '6.7500000', expected '6.7500000', error '0.0000000'

Test #14:

score: 0
Accepted
time: 14ms
memory: 11828kb

input:

997 993 998244353

output:

1779941051.3461632729

result:

ok found '1779941051.3461633', expected '1779941051.3461628', error '0.0000000'

Test #15:

score: 0
Accepted
time: 3ms
memory: 11352kb

input:

988 313 886183312

output:

78753022570.4834899902

result:

ok found '78753022570.4834900', expected '78753022570.4833527', error '0.0000000'

Test #16:

score: 0
Accepted
time: 4ms
memory: 8016kb

input:

583 286 322190846

output:

8636356976.8437118530

result:

ok found '8636356976.8437119', expected '8636356976.8437138', error '0.0000000'

Test #17:

score: 0
Accepted
time: 8ms
memory: 10832kb

input:

892 468 494964816

output:

17125998682.7292327881

result:

ok found '17125998682.7292328', expected '17125998682.7292328', error '0.0000000'

Test #18:

score: 0
Accepted
time: 1ms
memory: 4176kb

input:

26 882 386682745

output:

78231677700.7503509521

result:

ok found '78231677700.7503510', expected '78231677700.7504883', error '0.0000000'

Test #19:

score: 0
Accepted
time: 3ms
memory: 10688kb

input:

867 926 422131798

output:

945100500.3991085291

result:

ok found '945100500.3991085', expected '945100500.3991071', error '0.0000000'

Test #20:

score: 0
Accepted
time: 0ms
memory: 4068kb

input:

37 68 19

output:

62.2844598802

result:

ok found '62.2844599', expected '62.2844599', error '0.0000000'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3964kb

input:

23 90 80

output:

860.0506987358

result:

ok found '860.0506987', expected '860.0506987', error '0.0000000'

Test #22:

score: 0
Accepted
time: 1ms
memory: 6052kb

input:

43 55 85

output:

118.3892679676

result:

ok found '118.3892680', expected '118.3892680', error '0.0000000'

Test #23:

score: 0
Accepted
time: 1ms
memory: 4392kb

input:

93 66 43

output:

97.9048408588

result:

ok found '97.9048409', expected '97.9048409', error '0.0000000'

Test #24:

score: 0
Accepted
time: 1ms
memory: 4312kb

input:

78 93 30

output:

44.8454523265

result:

ok found '44.8454523', expected '44.8454523', error '0.0000000'

Test #25:

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

input:

9 5 481032867

output:

400507342.3667383194

result:

ok found '400507342.3667383', expected '400507342.3667384', error '0.0000000'

Test #26:

score: 0
Accepted
time: 0ms
memory: 6732kb

input:

366 73 3

output:

149.4864642331

result:

ok found '149.4864642', expected '149.4864642', error '0.0000000'

Test #27:

score: 0
Accepted
time: 0ms
memory: 3732kb

input:

6 4 5

output:

2.8946451697

result:

ok found '2.8946452', expected '2.8946452', error '0.0000000'

Test #28:

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

input:

8 10 5

output:

3.3973608525

result:

ok found '3.3973609', expected '3.3973609', error '0.0000000'

Test #29:

score: 0
Accepted
time: 0ms
memory: 3996kb

input:

10 1 7

output:

15.7500000000

result:

ok found '15.7500000', expected '15.7500000', error '0.0000000'

Test #30:

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

input:

10 7 10

output:

7.3716466074

result:

ok found '7.3716466', expected '7.3716466', error '0.0000000'

Test #31:

score: 0
Accepted
time: 0ms
memory: 3916kb

input:

2 8 1

output:

1.3271069195

result:

ok found '1.3271069', expected '1.3271069', error '0.0000000'