QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#546622#8774. Manhattan Walkchengning0909AC ✓17ms11792kbC++14848b2024-09-04 10:17:502024-09-04 10:17:51

Judging History

你现在查看的是最新测评结果

  • [2024-09-04 10:17:51]
  • 评测
  • 测评结果:AC
  • 用时:17ms
  • 内存:11792kb
  • [2024-09-04 10:17:50]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
using db = double;

const int N = 1010;

int n, m, p;
db dp[N][N];

int main() {
    ios::sync_with_stdio(0), cin.tie(0);
    cin >> n >> m >> p;
    for (int i = n; i >= 1; i--) {
        for (int j = m - (i == n); j >= 1; j--) {
            if (i == n) dp[i][j] = dp[i][j + 1] + p / 4.0;
            else if (j == m) dp[i][j] = dp[i + 1][j] + p / 4.0;
            else {
                db x = dp[i][j + 1], y = dp[i + 1][j];
                if (x > y) swap(x, y);
                db tp = min(y - x, (db)p);  // t <= tp : x  t > tp : y
                dp[i][j] = x / 2 + ((x + tp / 2) * tp + y * (p - tp)) / p / 2;
            }
        }
    }
    cout << fixed << setprecision(8) << dp[1][1];
    return 0;
}

/*
sum = (p + 1) * p / 2
val = sum / (p + 1) = p / 2
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3912kb

input:

2 3 8

output:

2.87500000

result:

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

Test #2:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

5 5 5

output:

2.43223387

result:

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

Test #3:

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

input:

1 1 1

output:

0.00000000

result:

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

Test #4:

score: 0
Accepted
time: 17ms
memory: 11792kb

input:

1000 1000 1000000000

output:

1782317138.80837631

result:

ok found '1782317138.8083763', expected '1782317138.8083761', error '0.0000000'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

1 4 5

output:

3.75000000

result:

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

Test #6:

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

input:

4 1 5

output:

3.75000000

result:

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

Test #7:

score: 0
Accepted
time: 0ms
memory: 3880kb

input:

1 1 1000000000

output:

0.00000000

result:

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

Test #8:

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

input:

1 2 1000000000

output:

250000000.00000000

result:

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

Test #9:

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

input:

2 1 1000000000

output:

250000000.00000000

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:

0.25000000

result:

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

Test #11:

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

input:

2 1 1

output:

0.25000000

result:

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

Test #12:

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

input:

1 10 3

output:

6.75000000

result:

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

Test #13:

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

input:

10 1 3

output:

6.75000000

result:

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

Test #14:

score: 0
Accepted
time: 10ms
memory: 11692kb

input:

997 993 998244353

output:

1779941051.34616232

result:

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

Test #15:

score: 0
Accepted
time: 0ms
memory: 10908kb

input:

988 313 886183312

output:

78753022570.48333740

result:

ok found '78753022570.4833374', expected '78753022570.4833527', error '0.0000000'

Test #16:

score: 0
Accepted
time: 4ms
memory: 7744kb

input:

583 286 322190846

output:

8636356976.84371376

result:

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

Test #17:

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

input:

892 468 494964816

output:

17125998682.72924042

result:

ok found '17125998682.7292404', expected '17125998682.7292328', error '0.0000000'

Test #18:

score: 0
Accepted
time: 1ms
memory: 4124kb

input:

26 882 386682745

output:

78231677700.75036621

result:

ok found '78231677700.7503662', expected '78231677700.7504883', error '0.0000000'

Test #19:

score: 0
Accepted
time: 11ms
memory: 10720kb

input:

867 926 422131798

output:

945100500.39910650

result:

ok found '945100500.3991065', expected '945100500.3991071', error '0.0000000'

Test #20:

score: 0
Accepted
time: 1ms
memory: 4008kb

input:

37 68 19

output:

62.28445988

result:

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

Test #21:

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

input:

23 90 80

output:

860.05069874

result:

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

Test #22:

score: 0
Accepted
time: 0ms
memory: 4096kb

input:

43 55 85

output:

118.38926797

result:

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

Test #23:

score: 0
Accepted
time: 1ms
memory: 4112kb

input:

93 66 43

output:

97.90484086

result:

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

Test #24:

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

input:

78 93 30

output:

44.84545233

result:

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

Test #25:

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

input:

9 5 481032867

output:

400507342.36673832

result:

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

Test #26:

score: 0
Accepted
time: 1ms
memory: 6424kb

input:

366 73 3

output:

149.48646423

result:

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

Test #27:

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

input:

6 4 5

output:

2.89464517

result:

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

Test #28:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

8 10 5

output:

3.39736085

result:

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

Test #29:

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

input:

10 1 7

output:

15.75000000

result:

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

Test #30:

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

input:

10 7 10

output:

7.37164661

result:

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

Test #31:

score: 0
Accepted
time: 0ms
memory: 3832kb

input:

2 8 1

output:

1.32710692

result:

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