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QOJ
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 Walk | ucup-team045# | AC ✓ | 23ms | 12916kb | C++20 | 1.7kb | 2024-06-09 14:25:20 | 2024-06-09 14:25:21 |
Judging History
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'