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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#637058#8774. Manhattan WalkTenshi#AC ✓13ms19504kbC++231.4kb2024-10-13 07:04:392024-10-13 07:04:40

Judging History

你现在查看的是最新测评结果

  • [2024-10-13 07:04:40]
  • 评测
  • 测评结果:AC
  • 用时:13ms
  • 内存:19504kb
  • [2024-10-13 07:04:39]
  • 提交

answer

#include <bits/stdc++.h>
#include <iostream>
#include <iomanip>

using namespace std;

#define rep(i, n) for (int i = 0; i < n; i++)



int main() {
    long long r, c; cin >> r >> c;
    long double p; cin >> p;
    long double ans[r][c];
    rep (ii, r) {
        rep (jj, c) {
            int i = r-ii-1;
            int j = c-jj-1;
            // cout << i << ' ' << j << endl;
            if (i==r-1 and j==c-1) {
                ans[i][j] = 0;
            }
            else if (i==r-1) {
                ans[i][j] = ans[i][j+1] + p/4;
            }
            else if (j==c-1) {
                ans[i][j] = ans[i+1][j] + p/4;
            }
            else {
                long double mn = min(ans[i+1][j], ans[i][j+1]);
                long double mx = max(ans[i+1][j], ans[i][j+1]);
                long double d = mx-mn;
                if (p > d) {
                    // cout << (p-d)*mx + mn*d + d*d/2 << endl;
                    ans[i][j] = mn/2 + ((p-d)*mx + mn*d + d*d/2)/(p*2);
                }
                else {
                    ans[i][j] = mn/2 + (mn*p + (p-mn)*(p-mn)/2)/(p*2);
                }
                // cout << ans[i][j] << endl;
                
            }
        }
    }
    // rep(i, r) {
    //     rep(j, c) {
    //         cout << ans[i][j] << ' ';
    //     }
    //     cout << endl;
    // }
    cout << fixed << setprecision(10) << ans[0][0] << endl;
}   

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3940kb

input:

2 3 8

output:

2.8750000000

result:

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

Test #2:

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

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: 3884kb

input:

1 1 1

output:

0.0000000000

result:

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

Test #4:

score: 0
Accepted
time: 10ms
memory: 19504kb

input:

1000 1000 1000000000

output:

1782317138.8083752500

result:

ok found '1782317138.8083754', expected '1782317138.8083761', error '0.0000000'

Test #5:

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

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: 3836kb

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: 3840kb

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: 3844kb

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: 3960kb

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: 3796kb

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: 3848kb

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: 3700kb

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: 3956kb

input:

10 1 3

output:

6.7500000000

result:

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

Test #14:

score: 0
Accepted
time: 13ms
memory: 19300kb

input:

997 993 998244353

output:

1779941051.3461624377

result:

ok found '1779941051.3461623', expected '1779941051.3461628', error '0.0000000'

Test #15:

score: 0
Accepted
time: 6ms
memory: 8668kb

input:

988 313 886183312

output:

78753022570.4833192378

result:

ok found '78753022570.4833221', expected '78753022570.4833527', error '0.0000000'

Test #16:

score: 0
Accepted
time: 3ms
memory: 6472kb

input:

583 286 322190846

output:

8636356976.8437140211

result:

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

Test #17:

score: 0
Accepted
time: 7ms
memory: 10352kb

input:

892 468 494964816

output:

17125998682.7292389497

result:

ok found '17125998682.7292385', expected '17125998682.7292328', error '0.0000000'

Test #18:

score: 0
Accepted
time: 1ms
memory: 4236kb

input:

26 882 386682745

output:

78231677700.7504219711

result:

ok found '78231677700.7504272', expected '78231677700.7504883', error '0.0000000'

Test #19:

score: 0
Accepted
time: 10ms
memory: 16236kb

input:

867 926 422131798

output:

945100500.3991072663

result:

ok found '945100500.3991072', expected '945100500.3991071', error '0.0000000'

Test #20:

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

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: 3864kb

input:

23 90 80

output:

860.0506987358

result:

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

Test #22:

score: 0
Accepted
time: 0ms
memory: 3912kb

input:

43 55 85

output:

118.3892679676

result:

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

Test #23:

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

input:

93 66 43

output:

97.9048408588

result:

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

Test #24:

score: 0
Accepted
time: 0ms
memory: 4000kb

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: 3892kb

input:

9 5 481032867

output:

400507342.3667383420

result:

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

Test #26:

score: 0
Accepted
time: 1ms
memory: 4228kb

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: 3884kb

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: 3952kb

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: 3952kb

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: 3852kb

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: 3880kb

input:

2 8 1

output:

1.3271069195

result:

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