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plain_text
2 years ago
30 kB
3
Indexable
Painting
The design team at SAMSUNG Electronics considers an innovative design for a new product.
The left figure is the basic diagram and the design team tries to distinguish each area marked by letter of the alphabet with four colors.
When proceeding with this, the design team pursues perfection by researching the combinations of all colors and chooses one of them.
However, they have trouble because they do not know the total number of cases of the color combinations.
Due to this difficulty, you convert the basic diagram on the left to the graph in the center and then you solve the problem by converting it to the adjacency matrix on the right.
The number of cases is 264.
What is the method used to solve this? (Time Limit : 2 seconds)
[Input]
The adjacency matrix about a basic diagram is entered.
On the first line, the number of the test cases (1<=T <= 10) is given.
On the first line of each test case, the size of the matrix n (1<=n <= 30, n is the positive number).
From the second line, the values of matrix are entered by being distinguished as one blank or other.
[Output]
For each test case, you should print "Case #T" in the first line where T means the case number.
In the second line, print out the total number of cases to paint and distinguish them with four colors for each area.
[Sample Input ]
3
4
0 0 0 1
0 0 0 1
0 0 0 1
1 1 1 0
5
0 1 1 1 0
1 0 0 1 1
1 0 0 1 0
1 1 1 0 1
0 1 0 1 0
7
0 1 0 0 1 0 1
1 0 1 0 1 0 0
0 1 0 1 1 0 0
0 0 1 0 1 1 0
1 1 1 1 0 1 1
0 0 0 1 1 0 1
1 0 0 0 1 1 0
[Sample Output]
Case #1
108
Case #2
96
Case #3
264
[Input]
50
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16
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0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0
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[Output]
Case #1
864
Case #2
1152
Case #3
96
Case #4
96
Case #5
1152
Case #6
576
Case #7
2496
Case #8
384
Case #9
96
Case #10
5280
Case #11
384
Case #12
2688
Case #13
384
Case #14
5760
Case #15
2112
Case #16
384
Case #17
9792
Case #18
2304
Case #19
2208
Case #20
192
Case #21
1536
Case #22
576
Case #23
768
Case #24
192
Case #25
1152
Case #26
2784
Case #27
192
Case #28
1440
Case #29
192
Case #30
14208
Case #31
96
Case #32
192
Case #33
384
Case #34
3840
Case #35
192
Case #36
192
Case #37
768
Case #38
1152
Case #39
192
Case #40
1152
Case #41
480
Case #42
10368
Case #43
288
Case #44
288
Case #45
96
Case #46
384
Case #47
192
Case #48
96
Case #49
576
Case #50
192
[Code]
#include <iostream>
using namespace std;
int N;
int a[100][100];
int color[100];
int ans;
void reset(){
for(int i = 0; i < N; i++){
color[i] = -1;
}
}
bool checkColor(int u, int c){
for(int v = 0; v < N; v++){
if(a[u][v] == 1 && color[v] == c){
return false;
}
}
return true;
}
void Try(int u){
for(int c = 0; c < 4; c++){
if(checkColor(u, c)){
if(u == N - 1){
ans++;
}else{
color[u] = c;
Try(u+1);
}
color[u] = -1;
}
}
}
int main(){
freopen("input.txt", "r", stdin);
int T; cin >> T;
for(int tc = 1; tc <= T; tc++){
cin >> N;
for(int i = 0; i < N; i++){
for (int j = 0; j < N; j++){
cin >> a[i][j];
}
}
reset();
ans = 0;
Try(0);
cout << "Case #" << tc << endl;
cout << ans << endl;
}
return 0;
}Editor is loading...