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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#429579 | #8774. Manhattan Walk | ucup-team1069# | AC ✓ | 13ms | 35888kb | C++23 | 1.0kb | 2024-06-02 17:31:45 | 2024-06-02 17:31:46 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
const int N = 2000;
int n, m;
long double dp[N][N], p;
long double calc(long double x, long double y) {
//x < y + t
//t > x - y
long double h = x - y;
if (h <= 0.0) {
return x;
}
if (h >= p)
return y + p / 2.0;
return (y * h + (h * h) / 2 + x * (p - h)) / p;
}
int main() {
ios_base::sync_with_stdio(0), cin.tie(0);
cin >> n >> m >> p;
dp[0][0] = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < m; ++j) {
if (i == 0 && j == 0) continue;
if (i == 0) {
dp[i][j] = dp[i][j - 1] + p/4.0;
continue;
}
if (j == 0) {
dp[i][j] = dp[i - 1][j] + p/4.0;
continue;
}
long double x = dp[i - 1][j], y = dp[i][j - 1];
dp[i][j] = (calc(x, y) + calc(y, x)) / 2.0;
}
}
cout << fixed << setprecision(9) << dp[n - 1][m - 1] << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3936kb
input:
2 3 8
output:
2.875000000
result:
ok found '2.8750000', expected '2.8750000', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3764kb
input:
5 5 5
output:
2.432233869
result:
ok found '2.4322339', expected '2.4322339', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3944kb
input:
1 1 1
output:
0.000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #4:
score: 0
Accepted
time: 12ms
memory: 35516kb
input:
1000 1000 1000000000
output:
1782317138.808375251
result:
ok found '1782317138.8083754', expected '1782317138.8083761', error '0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3948kb
input:
1 4 5
output:
3.750000000
result:
ok found '3.7500000', expected '3.7500000', error '0.0000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 4016kb
input:
4 1 5
output:
3.750000000
result:
ok found '3.7500000', expected '3.7500000', error '0.0000000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
1 1 1000000000
output:
0.000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
1 2 1000000000
output:
250000000.000000000
result:
ok found '250000000.0000000', expected '250000000.0000000', error '0.0000000'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3880kb
input:
2 1 1000000000
output:
250000000.000000000
result:
ok found '250000000.0000000', expected '250000000.0000000', error '0.0000000'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
1 2 1
output:
0.250000000
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3756kb
input:
2 1 1
output:
0.250000000
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3940kb
input:
1 10 3
output:
6.750000000
result:
ok found '6.7500000', expected '6.7500000', error '0.0000000'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3984kb
input:
10 1 3
output:
6.750000000
result:
ok found '6.7500000', expected '6.7500000', error '0.0000000'
Test #14:
score: 0
Accepted
time: 13ms
memory: 35888kb
input:
997 993 998244353
output:
1779941051.346162438
result:
ok found '1779941051.3461623', expected '1779941051.3461628', error '0.0000000'
Test #15:
score: 0
Accepted
time: 6ms
memory: 34816kb
input:
988 313 886183312
output:
78753022570.483319238
result:
ok found '78753022570.4833221', expected '78753022570.4833527', error '0.0000000'
Test #16:
score: 0
Accepted
time: 0ms
memory: 22588kb
input:
583 286 322190846
output:
8636356976.843714023
result:
ok found '8636356976.8437138', expected '8636356976.8437138', error '0.0000000'
Test #17:
score: 0
Accepted
time: 3ms
memory: 32592kb
input:
892 468 494964816
output:
17125998682.729238953
result:
ok found '17125998682.7292385', expected '17125998682.7292328', error '0.0000000'
Test #18:
score: 0
Accepted
time: 1ms
memory: 4356kb
input:
26 882 386682745
output:
78231677700.750421986
result:
ok found '78231677700.7504272', expected '78231677700.7504883', error '0.0000000'
Test #19:
score: 0
Accepted
time: 12ms
memory: 31344kb
input:
867 926 422131798
output:
945100500.399107266
result:
ok found '945100500.3991072', expected '945100500.3991071', error '0.0000000'
Test #20:
score: 0
Accepted
time: 1ms
memory: 4080kb
input:
37 68 19
output:
62.284459880
result:
ok found '62.2844599', expected '62.2844599', error '0.0000000'
Test #21:
score: 0
Accepted
time: 1ms
memory: 4064kb
input:
23 90 80
output:
860.050698736
result:
ok found '860.0506987', expected '860.0506987', error '0.0000000'
Test #22:
score: 0
Accepted
time: 0ms
memory: 4156kb
input:
43 55 85
output:
118.389267968
result:
ok found '118.3892680', expected '118.3892680', error '0.0000000'
Test #23:
score: 0
Accepted
time: 1ms
memory: 6076kb
input:
93 66 43
output:
97.904840859
result:
ok found '97.9048409', expected '97.9048409', error '0.0000000'
Test #24:
score: 0
Accepted
time: 1ms
memory: 6120kb
input:
78 93 30
output:
44.845452326
result:
ok found '44.8454523', expected '44.8454523', error '0.0000000'
Test #25:
score: 0
Accepted
time: 0ms
memory: 4016kb
input:
9 5 481032867
output:
400507342.366738342
result:
ok found '400507342.3667383', expected '400507342.3667384', error '0.0000000'
Test #26:
score: 0
Accepted
time: 0ms
memory: 14556kb
input:
366 73 3
output:
149.486464233
result:
ok found '149.4864642', expected '149.4864642', error '0.0000000'
Test #27:
score: 0
Accepted
time: 0ms
memory: 3912kb
input:
6 4 5
output:
2.894645170
result:
ok found '2.8946452', expected '2.8946452', error '0.0000000'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
8 10 5
output:
3.397360852
result:
ok found '3.3973609', expected '3.3973609', error '0.0000000'
Test #29:
score: 0
Accepted
time: 0ms
memory: 3976kb
input:
10 1 7
output:
15.750000000
result:
ok found '15.7500000', expected '15.7500000', error '0.0000000'
Test #30:
score: 0
Accepted
time: 1ms
memory: 5964kb
input:
10 7 10
output:
7.371646607
result:
ok found '7.3716466', expected '7.3716466', error '0.0000000'
Test #31:
score: 0
Accepted
time: 1ms
memory: 3900kb
input:
2 8 1
output:
1.327106919
result:
ok found '1.3271069', expected '1.3271069', error '0.0000000'