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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#463119#8774. Manhattan Walkstd_abs#AC ✓16ms18888kbC++20872b2024-07-04 14:00:522024-07-04 14:00:53

Judging History

你现在查看的是最新测评结果

  • [2024-07-04 14:00:53]
  • 评测
  • 测评结果:AC
  • 用时:16ms
  • 内存:18888kb
  • [2024-07-04 14:00:52]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
#define pb push_back
#define all(a) a.begin(), a.end()
#define sz(a) ((int)a.size())
const int mod = 1e9 + 7, N = 100000;

#define double long double

int main() {
	ios::sync_with_stdio(false), cin.tie(0);
	int n, m, p;
	cin >> n >> m >> p;
	vector dp(n + 1, vector <double>(m + 1, 1e18));
	for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) {
		if (i == 1 && j == 1) {
			dp[i][j] = 0;
		} else {
			double a = dp[i - 1][j], b = dp[i][j - 1];
			if (a > b) {
				swap(a, b);
			}
			double cur = a;
			if (b - a <= p) {
				cur += (b * b - a * a) / 2 / p + (1.0 - (b - a) / p) * b;
			} else {
				cur += ((a + p) * (a + p) - a * a) / 2 / p;
			}
			dp[i][j] = cur / 2;
		}
	}
	cout << fixed << setprecision(10) << dp[n][m] << '\n';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3804kb

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: 4004kb

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: 3728kb

input:

1 1 1

output:

0.0000000000

result:

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

Test #4:

score: 0
Accepted
time: 16ms
memory: 18888kb

input:

1000 1000 1000000000

output:

1782317138.8083752511

result:

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

Test #5:

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

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: 3768kb

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: 3864kb

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: 3792kb

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: 4004kb

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: 3804kb

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: 3840kb

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: 4008kb

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: 16ms
memory: 18628kb

input:

997 993 998244353

output:

1779941051.3461624371

result:

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

Test #15:

score: 0
Accepted
time: 3ms
memory: 8056kb

input:

988 313 886183312

output:

78753022570.4833194166

result:

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

Test #16:

score: 0
Accepted
time: 3ms
memory: 5676kb

input:

583 286 322190846

output:

8636356976.8437140314

result:

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

Test #17:

score: 0
Accepted
time: 8ms
memory: 9764kb

input:

892 468 494964816

output:

17125998682.7292389562

result:

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

Test #18:

score: 0
Accepted
time: 1ms
memory: 3908kb

input:

26 882 386682745

output:

78231677700.7504217997

result:

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

Test #19:

score: 0
Accepted
time: 16ms
memory: 15712kb

input:

867 926 422131798

output:

945100500.3991072662

result:

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

Test #20:

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

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: 3756kb

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: 3828kb

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: 3888kb

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: 3896kb

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: 3796kb

input:

9 5 481032867

output:

400507342.3667383420

result:

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

Test #26:

score: 0
Accepted
time: 0ms
memory: 4148kb

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: 4016kb

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: 3776kb

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: 3716kb

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: 3800kb

input:

2 8 1

output:

1.3271069195

result:

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