-
Notifications
You must be signed in to change notification settings - Fork 1
Expand file tree
/
Copy pathE.java
More file actions
137 lines (117 loc) · 3.8 KB
/
Copy pathE.java
File metadata and controls
137 lines (117 loc) · 3.8 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
package codeforces.round_16;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.Random;
import java.util.StringTokenizer;
public final class E {
public static void main(String[] args) {
final FastScanner fs = new FastScanner();
final int n = fs.nextInt();
final double[][] grid = new double[n][n];
for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) {
grid[i][j] = Double.parseDouble(fs.next());
}
}
final Double[] dp = new Double[1 << n];
for (int i = 0; i < n; i++) {
System.out.print(dfs(1 << i, grid, dp) + " ");
}
System.out.println();
}
private static double dfs(int mask, double[][] grid, Double[] dp) {
if (Integer.bitCount(mask) == grid.length) {
return 1;
}
if (dp[mask] != null) {
return dp[mask];
}
double res = 0;
for (int deadFish = 0; deadFish < grid.length; deadFish++) {
if ((mask & (1 << deadFish)) == 0) {
final int prevMask = mask | (1 << deadFish);
res += move(prevMask, deadFish, grid) * dfs(prevMask, grid, dp);
}
}
return dp[mask] = res;
}
private static double move(int mask, int deadFish, double[][] grid) {
final int k = Integer.bitCount(mask);
final double total = (k * (k - 1)) / 2.0;
double res = 0;
for (int i = 0; i < grid.length; i++) {
if ((mask & (1 << i)) != 0) {
res += grid[i][deadFish];
}
}
return res / total;
}
static final class Utils {
public static void shuffleSort(int[] x) {
shuffle(x);
Arrays.sort(x);
}
public static void shuffleSort(long[] x) {
shuffle(x);
Arrays.sort(x);
}
public static void shuffle(int[] x) {
final Random r = new Random();
for (int i = 0; i <= x.length - 2; i++) {
final int j = i + r.nextInt(x.length - i);
swap(x, i, j);
}
}
public static void shuffle(long[] x) {
final Random r = new Random();
for (int i = 0; i <= x.length - 2; i++) {
final int j = i + r.nextInt(x.length - i);
swap(x, i, j);
}
}
public static void swap(int[] x, int i, int j) {
final int t = x[i];
x[i] = x[j];
x[j] = t;
}
public static void swap(long[] x, int i, int j) {
final long t = x[i];
x[i] = x[j];
x[j] = t;
}
private Utils() {}
}
static class FastScanner {
BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
StringTokenizer st = new StringTokenizer("");
private String next() {
while (!st.hasMoreTokens()) {
try {
st = new StringTokenizer(br.readLine());
} catch (IOException e) {
//noinspection CallToPrintStackTrace
e.printStackTrace();
}
}
return st.nextToken();
}
int nextInt() {
return Integer.parseInt(next());
}
long nextLong() {
return Long.parseLong(next());
}
int[] nextIntArray(int n) {
final int[] a = new int[n];
for (int i = 0; i < n; i++) { a[i] = nextInt(); }
return a;
}
long[] nextLongArray(int n) {
final long[] a = new long[n];
for (int i = 0; i < n; i++) { a[i] = nextLong(); }
return a;
}
}
}