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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#606497#8774. Manhattan Walk333zhanAC ✓13ms10988kbC++201.2kb2024-10-03 09:56:202024-10-03 09:56:21

Judging History

你现在查看的是最新测评结果

  • [2024-10-03 09:56:21]
  • 评测
  • 测评结果:AC
  • 用时:13ms
  • 内存:10988kb
  • [2024-10-03 09:56:20]
  • 提交

answer

#include <bits/stdc++.h>
#define int long long

using namespace std;

void solve () {
    int n, m, p;
    cin >> n >> m >> p;

    const double Z = 0.25 * p;

    vector dp (n + 1, vector <double> (m + 1));
    for (int i = n; i >= 1; i --) {
        for (int j = m; j >= 1; j --) {
            if (i == n && j == m) {
                dp[i][j] = 0;
            } else if (i == n) {
                dp[i][j] = dp[i][j + 1] + Z;
            } else if (j == m) {
                dp[i][j] = dp[i + 1][j] + Z;
            } else {
                double a = dp[i][j + 1], b = dp[i + 1][j];
                if (a > b) {
                    swap (a, b);
                }
                if (b - a >= p) {
                    dp[i][j] = a + Z;
                } else {
                    dp[i][j] = a * 0.5 + ((b - a) / p * (a + (b - a) * 0.5) + (p - (b - a)) / p * b) * 0.5;
                }
            }
        }
    }

    cout << dp[1][1] << '\n';
}

signed main () {
    ios::sync_with_stdio (false);
    cin.tie (nullptr);

    cout << fixed << setprecision (10);

    int T = 1;
    // cin >> T;

    while (T --) {
        solve ();
    }

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3852kb

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: 3776kb

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: 3772kb

input:

1 1 1

output:

0.0000000000

result:

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

Test #4:

score: 0
Accepted
time: 12ms
memory: 10988kb

input:

1000 1000 1000000000

output:

1782317138.8083758354

result:

ok found '1782317138.8083758', expected '1782317138.8083761', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3800kb

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: 3848kb

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: 3876kb

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: 3796kb

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: 3780kb

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: 3724kb

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: 3876kb

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: 3848kb

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: 3808kb

input:

10 1 3

output:

6.7500000000

result:

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

Test #14:

score: 0
Accepted
time: 12ms
memory: 10948kb

input:

997 993 998244353

output:

1779941051.3461608887

result:

ok found '1779941051.3461609', expected '1779941051.3461628', error '0.0000000'

Test #15:

score: 0
Accepted
time: 5ms
memory: 5680kb

input:

988 313 886183312

output:

78753022570.4833526611

result:

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

Test #16:

score: 0
Accepted
time: 3ms
memory: 4420kb

input:

583 286 322190846

output:

8636356976.8437099457

result:

ok found '8636356976.8437099', expected '8636356976.8437138', error '0.0000000'

Test #17:

score: 0
Accepted
time: 7ms
memory: 6668kb

input:

892 468 494964816

output:

17125998682.7292385101

result:

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

Test #18:

score: 0
Accepted
time: 1ms
memory: 4012kb

input:

26 882 386682745

output:

78231677700.7504882812

result:

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

Test #19:

score: 0
Accepted
time: 13ms
memory: 9364kb

input:

867 926 422131798

output:

945100500.3991073370

result:

ok found '945100500.3991073', expected '945100500.3991071', error '0.0000000'

Test #20:

score: 0
Accepted
time: 0ms
memory: 3792kb

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: 3792kb

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: 4028kb

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: 3780kb

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: 4068kb

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: 3784kb

input:

9 5 481032867

output:

400507342.3667383194

result:

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

Test #26:

score: 0
Accepted
time: 1ms
memory: 3864kb

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: 3872kb

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: 4016kb

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: 4012kb

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: 3844kb

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: 3796kb

input:

2 8 1

output:

1.3271069195

result:

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