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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#546622 | #8774. Manhattan Walk | chengning0909 | AC ✓ | 17ms | 11792kb | C++14 | 848b | 2024-09-04 10:17:50 | 2024-09-04 10:17:51 |
Judging History
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'