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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 |
---|---|---|---|---|---|---|---|---|---|
#463119 | #8774. Manhattan Walk | std_abs# | AC ✓ | 16ms | 18888kb | C++20 | 872b | 2024-07-04 14:00:52 | 2024-07-04 14:00:53 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
#define pb push_back
#define all(a) a.begin(), a.end()
#define sz(a) ((int)a.size())
const int mod = 1e9 + 7, N = 100000;
#define double long double
int main() {
ios::sync_with_stdio(false), cin.tie(0);
int n, m, p;
cin >> n >> m >> p;
vector dp(n + 1, vector <double>(m + 1, 1e18));
for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) {
if (i == 1 && j == 1) {
dp[i][j] = 0;
} else {
double a = dp[i - 1][j], b = dp[i][j - 1];
if (a > b) {
swap(a, b);
}
double cur = a;
if (b - a <= p) {
cur += (b * b - a * a) / 2 / p + (1.0 - (b - a) / p) * b;
} else {
cur += ((a + p) * (a + p) - a * a) / 2 / p;
}
dp[i][j] = cur / 2;
}
}
cout << fixed << setprecision(10) << dp[n][m] << '\n';
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3804kb
input:
2 3 8
output:
2.8750000000
result:
ok found '2.8750000', expected '2.8750000', error '0.0000000'
Test #2:
score: 0
Accepted
time: 0ms
memory: 4004kb
input:
5 5 5
output:
2.4322338689
result:
ok found '2.4322339', expected '2.4322339', error '0.0000000'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3728kb
input:
1 1 1
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #4:
score: 0
Accepted
time: 16ms
memory: 18888kb
input:
1000 1000 1000000000
output:
1782317138.8083752511
result:
ok found '1782317138.8083754', expected '1782317138.8083761', error '0.0000000'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
1 4 5
output:
3.7500000000
result:
ok found '3.7500000', expected '3.7500000', error '0.0000000'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3768kb
input:
4 1 5
output:
3.7500000000
result:
ok found '3.7500000', expected '3.7500000', error '0.0000000'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3864kb
input:
1 1 1000000000
output:
0.0000000000
result:
ok found '0.0000000', expected '0.0000000', error '-0.0000000'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
1 2 1000000000
output:
250000000.0000000000
result:
ok found '250000000.0000000', expected '250000000.0000000', error '0.0000000'
Test #9:
score: 0
Accepted
time: 0ms
memory: 4004kb
input:
2 1 1000000000
output:
250000000.0000000000
result:
ok found '250000000.0000000', expected '250000000.0000000', error '0.0000000'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
1 2 1
output:
0.2500000000
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3840kb
input:
2 1 1
output:
0.2500000000
result:
ok found '0.2500000', expected '0.2500000', error '0.0000000'
Test #12:
score: 0
Accepted
time: 0ms
memory: 4008kb
input:
1 10 3
output:
6.7500000000
result:
ok found '6.7500000', expected '6.7500000', error '0.0000000'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
10 1 3
output:
6.7500000000
result:
ok found '6.7500000', expected '6.7500000', error '0.0000000'
Test #14:
score: 0
Accepted
time: 16ms
memory: 18628kb
input:
997 993 998244353
output:
1779941051.3461624371
result:
ok found '1779941051.3461623', expected '1779941051.3461628', error '0.0000000'
Test #15:
score: 0
Accepted
time: 3ms
memory: 8056kb
input:
988 313 886183312
output:
78753022570.4833194166
result:
ok found '78753022570.4833221', expected '78753022570.4833527', error '0.0000000'
Test #16:
score: 0
Accepted
time: 3ms
memory: 5676kb
input:
583 286 322190846
output:
8636356976.8437140314
result:
ok found '8636356976.8437138', expected '8636356976.8437138', error '0.0000000'
Test #17:
score: 0
Accepted
time: 8ms
memory: 9764kb
input:
892 468 494964816
output:
17125998682.7292389562
result:
ok found '17125998682.7292385', expected '17125998682.7292328', error '0.0000000'
Test #18:
score: 0
Accepted
time: 1ms
memory: 3908kb
input:
26 882 386682745
output:
78231677700.7504217997
result:
ok found '78231677700.7504272', expected '78231677700.7504883', error '0.0000000'
Test #19:
score: 0
Accepted
time: 16ms
memory: 15712kb
input:
867 926 422131798
output:
945100500.3991072662
result:
ok found '945100500.3991072', expected '945100500.3991071', error '0.0000000'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3820kb
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: 3756kb
input:
23 90 80
output:
860.0506987358
result:
ok found '860.0506987', expected '860.0506987', error '0.0000000'
Test #22:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
43 55 85
output:
118.3892679676
result:
ok found '118.3892680', expected '118.3892680', error '0.0000000'
Test #23:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
93 66 43
output:
97.9048408588
result:
ok found '97.9048409', expected '97.9048409', error '0.0000000'
Test #24:
score: 0
Accepted
time: 0ms
memory: 3896kb
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: 3796kb
input:
9 5 481032867
output:
400507342.3667383420
result:
ok found '400507342.3667383', expected '400507342.3667384', error '0.0000000'
Test #26:
score: 0
Accepted
time: 0ms
memory: 4148kb
input:
366 73 3
output:
149.4864642331
result:
ok found '149.4864642', expected '149.4864642', error '0.0000000'
Test #27:
score: 0
Accepted
time: 0ms
memory: 4016kb
input:
6 4 5
output:
2.8946451697
result:
ok found '2.8946452', expected '2.8946452', error '0.0000000'
Test #28:
score: 0
Accepted
time: 0ms
memory: 3776kb
input:
8 10 5
output:
3.3973608525
result:
ok found '3.3973609', expected '3.3973609', error '0.0000000'
Test #29:
score: 0
Accepted
time: 0ms
memory: 4012kb
input:
10 1 7
output:
15.7500000000
result:
ok found '15.7500000', expected '15.7500000', error '0.0000000'
Test #30:
score: 0
Accepted
time: 0ms
memory: 3716kb
input:
10 7 10
output:
7.3716466074
result:
ok found '7.3716466', expected '7.3716466', error '0.0000000'
Test #31:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
2 8 1
output:
1.3271069195
result:
ok found '1.3271069', expected '1.3271069', error '0.0000000'