QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#792149 | #8774. Manhattan Walk | lukamosiashvili# | AC ✓ | 17ms | 19632kb | C++17 | 2.0kb | 2024-11-29 01:17:50 | 2024-11-29 01:17:51 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
long double dp[1009][1009];
int main(){
ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
int n, m;
int pp;
cin >> n >> m >> pp;
long double p = pp;
for(int i = 1; i <= n; i++){
for(int j = 1; j <= m; j++){
if(i == 1 && j == 1){
dp[i][j] = 0;
continue;
}
if(i == 1){
dp[i][j] = dp[i][j - 1] + p*0.25;
continue;
}
if(j == 1){
dp[i][j] = dp[i - 1][j] + p*0.25;
continue;
}
// down
//dp[i][j] = min(dp[i - 1][j], dp[i][j - 1] + pp*0.5);
if(dp[i - 1][j] <= dp[i][j - 1]){
dp[i][j] = dp[i - 1][j];
}else{
if(dp[i - 1][j] >= dp[i][j - 1] + p){
dp[i][j] = dp[i][j - 1] + p * 0.5;
}else{
long double probA = (dp[i - 1][j] - dp[i][j - 1]) / p;
dp[i][j] = (dp[i][j - 1] + (dp[i - 1][j] - dp[i][j - 1]) / 2.0) * probA;
long double probB = 1.0 - probA;
dp[i][j] += (dp[i - 1][j]) * probB;
}
}
// right
//dp[i][j] += min(dp[i][j - 1], dp[i - 1][j] + p*0.5);
if(dp[i][j - 1] <= dp[i - 1][j]){
dp[i][j] += dp[i][j - 1];
}else{
if(dp[i][j - 1] >= dp[i - 1][j] + p){
dp[i][j] += dp[i][j - 1] + p * 0.5;
}else{
long double probA = (dp[i][j - 1] - dp[i - 1][j]) / p;
dp[i][j] += (dp[i - 1][j] + (dp[i][j - 1] - dp[i - 1][j]) / 2.0) * probA;
long double probB = 1.0 - probA;
dp[i][j] += (dp[i][j - 1]) * probB;
}
}
//
dp[i][j] = dp[i][j] / 2.0;
}
}
cout << setprecision(12) << dp[n][m];
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 3820kb
input:
2 3 8
output:
2.875
result:
ok found '2.8750000', expected '2.8750000', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 3700kb
input:
5 5 5
output:
2.43223386887
result:
ok found '2.4322339', expected '2.4322339', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
1 1 1
output:
0
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #4:
score: 0
Accepted
time: 17ms
memory: 19600kb
input:
1000 1000 1000000000
output:
1782317138.81
result:
ok found '1782317138.8099999', expected '1782317138.8083761', error '0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
1 4 5
output:
3.75
result:
ok found '3.7500000', expected '3.7500000', error '0.0000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3848kb
input:
4 1 5
output:
3.75
result:
ok found '3.7500000', expected '3.7500000', error '0.0000000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
1 1 1000000000
output:
0
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
1 2 1000000000
output:
250000000
result:
ok found '250000000.0000000', expected '250000000.0000000', error '0.0000000'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
2 1 1000000000
output:
250000000
result:
ok found '250000000.0000000', expected '250000000.0000000', error '0.0000000'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3660kb
input:
1 2 1
output:
0.25
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:
0.25
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
1 10 3
output:
6.75
result:
ok found '6.7500000', expected '6.7500000', error '0.0000000'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
10 1 3
output:
6.75
result:
ok found '6.7500000', expected '6.7500000', error '0.0000000'
Test #14:
score: 0
Accepted
time: 12ms
memory: 19632kb
input:
997 993 998244353
output:
1779941051.35
result:
ok found '1779941051.3499999', expected '1779941051.3461628', error '0.0000000'
Test #15:
score: 0
Accepted
time: 3ms
memory: 18028kb
input:
988 313 886183312
output:
78753022570.5
result:
ok found '78753022570.5000000', expected '78753022570.4833527', error '0.0000000'
Test #16:
score: 0
Accepted
time: 2ms
memory: 14504kb
input:
583 286 322190846
output:
8636356976.84
result:
ok found '8636356976.8400002', expected '8636356976.8437138', error '0.0000000'
Test #17:
score: 0
Accepted
time: 8ms
memory: 17372kb
input:
892 468 494964816
output:
17125998682.7
result:
ok found '17125998682.7000008', expected '17125998682.7292328', error '0.0000000'
Test #18:
score: 0
Accepted
time: 1ms
memory: 6220kb
input:
26 882 386682745
output:
78231677700.8
result:
ok found '78231677700.8000031', expected '78231677700.7504883', error '0.0000000'
Test #19:
score: 0
Accepted
time: 14ms
memory: 18164kb
input:
867 926 422131798
output:
945100500.399
result:
ok found '945100500.3990000', expected '945100500.3991071', error '0.0000000'
Test #20:
score: 0
Accepted
time: 0ms
memory: 4008kb
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: 3948kb
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: 4088kb
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: 6260kb
input:
93 66 43
output:
97.9048408588
result:
ok found '97.9048409', expected '97.9048409', error '0.0000000'
Test #24:
score: 0
Accepted
time: 1ms
memory: 4268kb
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: 3936kb
input:
9 5 481032867
output:
400507342.367
result:
ok found '400507342.3670000', expected '400507342.3667384', error '0.0000000'
Test #26:
score: 0
Accepted
time: 0ms
memory: 10492kb
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: 3848kb
input:
6 4 5
output:
2.89464516973
result:
ok found '2.8946452', expected '2.8946452', error '0.0000000'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
8 10 5
output:
3.39736085247
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:
15.75
result:
ok found '15.7500000', expected '15.7500000', error '0.0000000'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
10 7 10
output:
7.37164660739
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:
1.32710691947
result:
ok found '1.3271069', expected '1.3271069', error '0.0000000'