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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#437637#8774. Manhattan Walkucup-team045#AC ✓23ms12916kbC++201.7kb2024-06-09 14:25:202024-06-09 14:25:21

Judging History

你现在查看的是最新测评结果

  • [2024-06-09 14:25:21]
  • 评测
  • 测评结果:AC
  • 用时:23ms
  • 内存:12916kb
  • [2024-06-09 14:25:20]
  • 提交

answer

#include<iostream>
#include<cstring>
#include<vector>
#include<iomanip>
using namespace std;
using LL = long long;
const int maxn = 1e3 + 5;
int n, m, t;
double f[maxn][maxn];
bool v[maxn][maxn];

double dp(int x, int y){
    if (x == n and y == m) return 0.0;
    if (v[x][y]) return f[x][y];
    v[x][y] = true;
    if (x == n){
        double ans = f[x][y] = t / 4.0 + dp(x, y + 1);
        // cout << x << ' ' << y << ' ' << ans << '\n';
        return f[x][y] = ans;
    }
    if (y == m){
        double ans = f[x][y] = t / 4.0 + dp(x + 1, y);
        // cout << x << ' ' << y << ' ' << ans << '\n';
        return f[x][y] = ans;
    }
    double ans = 0;
    double t1 = dp(x + 1, y);
    double t2 = dp(x, y + 1);
    if (t1 >= t2){
        if (t1 - t2 >= t){
            ans += t / 4.0 + dp(x, y + 1);
        }
        else{
            ans += 1 / 2.0 * dp(x, y + 1);
            double p = (t1 - t2) / t;
            ans += 1 / 2.0 * p * ((t1 - t2) / 2 + dp(x, y + 1));
            ans += 1 / 2.0 * (1 - p) * dp(x + 1, y);
        }
    }
    else{
        if (t2 - t1 >= t){
            ans += t / 4.0 + dp(x + 1, y);
        }
        else{
            ans += 1 / 2.0 * dp(x + 1, y);
            double p = (t2 - t1) / t;
            ans += 1 / 2.0 * p * ((t2 - t1) / 2 + dp(x + 1, y));
            ans += 1 / 2.0 * (1 - p) * dp(x, y + 1);
        }
    }
    // cout << x << ' ' << y << ' ' << ans << '\n';
    return f[x][y] = ans;
}

int main(){

#ifdef LOCAL
    freopen("data.in", "r", stdin);
    freopen("data.out", "w", stdout);
#endif

    cin.tie(0);
    cout.tie(0);
    ios::sync_with_stdio(0);

    cin >> n >> m >> t;
    cout << fixed << setprecision(20) << dp(1, 1) << '\n';

}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 5888kb

input:

2 3 8

output:

2.87500000000000000000

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:

2.43223386887388137723

result:

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

Test #3:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

1 1 1

output:

0.00000000000000000000

result:

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

Test #4:

score: 0
Accepted
time: 22ms
memory: 12916kb

input:

1000 1000 1000000000

output:

1782317138.80837535858154296875

result:

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

Test #5:

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

input:

1 4 5

output:

3.75000000000000000000

result:

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

Test #6:

score: 0
Accepted
time: 1ms
memory: 3932kb

input:

4 1 5

output:

3.75000000000000000000

result:

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

Test #7:

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

input:

1 1 1000000000

output:

0.00000000000000000000

result:

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

Test #8:

score: 0
Accepted
time: 1ms
memory: 5968kb

input:

1 2 1000000000

output:

250000000.00000000000000000000

result:

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

Test #9:

score: 0
Accepted
time: 0ms
memory: 5928kb

input:

2 1 1000000000

output:

250000000.00000000000000000000

result:

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

Test #10:

score: 0
Accepted
time: 1ms
memory: 5728kb

input:

1 2 1

output:

0.25000000000000000000

result:

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

Test #11:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

2 1 1

output:

0.25000000000000000000

result:

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

Test #12:

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

input:

1 10 3

output:

6.75000000000000000000

result:

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

Test #13:

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

input:

10 1 3

output:

6.75000000000000000000

result:

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

Test #14:

score: 0
Accepted
time: 23ms
memory: 12864kb

input:

997 993 998244353

output:

1779941051.34615993499755859375

result:

ok found '1779941051.3461599', expected '1779941051.3461628', error '0.0000000'

Test #15:

score: 0
Accepted
time: 7ms
memory: 12376kb

input:

988 313 886183312

output:

78753022570.48330688476562500000

result:

ok found '78753022570.4833069', expected '78753022570.4833527', error '0.0000000'

Test #16:

score: 0
Accepted
time: 3ms
memory: 10672kb

input:

583 286 322190846

output:

8636356976.84371566772460937500

result:

ok found '8636356976.8437157', expected '8636356976.8437138', error '0.0000000'

Test #17:

score: 0
Accepted
time: 8ms
memory: 11800kb

input:

892 468 494964816

output:

17125998682.72924423217773437500

result:

ok found '17125998682.7292442', expected '17125998682.7292328', error '0.0000000'

Test #18:

score: 0
Accepted
time: 0ms
memory: 5972kb

input:

26 882 386682745

output:

78231677700.75038146972656250000

result:

ok found '78231677700.7503815', expected '78231677700.7504883', error '0.0000000'

Test #19:

score: 0
Accepted
time: 20ms
memory: 12728kb

input:

867 926 422131798

output:

945100500.39910733699798583984

result:

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

Test #20:

score: 0
Accepted
time: 1ms
memory: 5944kb

input:

37 68 19

output:

62.28445988015904077884

result:

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

Test #21:

score: 0
Accepted
time: 1ms
memory: 5952kb

input:

23 90 80

output:

860.05069873579122941010

result:

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

Test #22:

score: 0
Accepted
time: 0ms
memory: 5924kb

input:

43 55 85

output:

118.38926796756413750700

result:

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

Test #23:

score: 0
Accepted
time: 0ms
memory: 6012kb

input:

93 66 43

output:

97.90484085875107211905

result:

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

Test #24:

score: 0
Accepted
time: 1ms
memory: 4300kb

input:

78 93 30

output:

44.84545232645059797960

result:

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

Test #25:

score: 0
Accepted
time: 0ms
memory: 3728kb

input:

9 5 481032867

output:

400507342.36673831939697265625

result:

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

Test #26:

score: 0
Accepted
time: 0ms
memory: 10408kb

input:

366 73 3

output:

149.48646423309594410966

result:

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

Test #27:

score: 0
Accepted
time: 1ms
memory: 5884kb

input:

6 4 5

output:

2.89464516972875784973

result:

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

Test #28:

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

input:

8 10 5

output:

3.39736085247490926520

result:

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

Test #29:

score: 0
Accepted
time: 1ms
memory: 5892kb

input:

10 1 7

output:

15.75000000000000000000

result:

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

Test #30:

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

input:

10 7 10

output:

7.37164660739414223656

result:

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

Test #31:

score: 0
Accepted
time: 1ms
memory: 5860kb

input:

2 8 1

output:

1.32710691946578207556

result:

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