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a year ago
24 kB
4
Indexable
Never
Given a map of gold mine which can be represented as a NxN matrix
In this map, there are several gold mines that locates on random places (maximum 4 mines each map). A camp will be setup in the map for mining the gold. Every day, workers will go from the camp to gold mines location. In order to reduce the cost, company want to setup the camp so that the distance from it to mining location is optimized.
Let consider below 5x5 map :
 - Worker can not go through the rock
 - It takes 1 hour to travel a cell in map
There are two mines, from start point (camp location), it would take 4h to go to each gold mine. Let's suppose the final cost will be the highest cost among them, then if we put the camp as above figure, the final cost will be 4.
Now, we consider other example :
In the 3rd example, the final cost will be minimum (1)
[Input]
The first line of input will be the number of test case T (T ≤ 50)
In each TC :
 - The first line will give the size of map N (N ≤ 20) and the number of gold mines G (2 ≤ G ≤ 4)
 - The next G lines will give location R (row) & C (column) of gold mine (1-base indexed)
- The next N lines will give the map's data : 1 represents the road & gold mines, 0 represents the rock (can not go through)

[Output]
On the first line : you should output the Minimum final cost for traveling from camp to gold mines. If there is no way to reach all gold mines, print   -1 as answer
Case #1
1
Case #2
2
Case #3
2
Case #4
7
Case #5
6

[Constraints]
- You can move on 4 directions (up/left/down/right)
- You can not setup the camp on gold mine location or rock
- You can go pass a gold mine then go to other gold mine
- You should place camp in order to Maximize the number of reachable gold mines

50
5 2
4 3
3 4
1 1 0 0 0
1 1 0 0 0
1 1 1 1 1
1 1 1 0 1
1 1 1 1 1
8 2
5 6
6 4
1 1 1 1 1 1 0 0
1 1 1 1 1 1 1 0
1 1 0 1 0 1 1 0
1 1 1 1 0 1 1 0
1 1 1 1 1 1 1 0
1 1 1 1 1 1 1 0
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0
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7 1
0 0 0 1 1 1 1 1 1 0
1 1 1 1 1 1 1 1 1 0
1 0 0 1 0 0 0 0 1 0
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1 1 1 1 0 1 0 0 1 1
1 1 1 1 0 1 0 0 1 1
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1 1 1 1 1 1 1 1 1 1
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1 1 1 1 1 1 1 1 1 1
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1 1 1 1 1 1 0 1 1 0 
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1 1 1 1 1 1 1 1 0 1 
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1 1 1 1 1 1 1 1 0 0 
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6 5
1 0 1 1 1 1 1 0 1 1 
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1 1 1 1 1 1 1 0 1 1 
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1 1 0 1 1 1 1 1 0 0 
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0 1 1 1 1 1 1 1 1 1 
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1 1 1 1 1 1 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 0 
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1 1 1 0 1 1 1 1 1 1 
0 1 1 1 1 1 0 1 1 1 
10 4
7 4
9 4
4 6
4 8
1 1 1 0 0 1 0 1 1 1 
1 1 1 1 1 1 1 0 1 1 
1 0 1 1 1 1 1 0 1 1 
0 0 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 0 
0 1 1 1 0 1 0 1 1 1 
1 1 1 0 1 1 1 0 0 1 
1 1 1 1 0 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 0 
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1 3
6 6
2 5
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1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 0 1 1 0 1 
0 0 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 
0 1 0 1 1 1 1 1 1 0 
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1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 
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3 2
6 7
1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 1 
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0 1 0 1 1 1 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 0 0 1 1 
1 1 1 1 1 1 1 1 1 1 
1 1 1 0 0 1 1 1 1 1 
1 1 0 0 0 0 1 1 1 1 
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1 7
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9 10
1 1 1 1 1 1 1 1 1 1 
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1 1 1 1 1 1 1 1 1 0 
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1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 
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2 2
1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 0 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 
1 1 1 0 1 0 1 1 0 1 
1 1 1 1 1 1 1 1 0 1 
1 1 1 0 1 1 1 1 1 1 
10 2
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10 7
1 1 1 1 1 0 1 1 1 1 
1 0 1 0 1 1 1 1 1 1 
1 0 1 0 1 1 1 0 1 1 
1 1 1 0 1 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 
1 1 0 0 1 1 1 1 1 1 
1 1 1 0 0 0 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 
10 2
2 4
10 5
0 0 1 1 1 1 1 1 1 1 
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1 1 1 1 1 1 0 0 1 0 
1 1 1 0 1 1 0 1 1 1 
1 1 1 1 1 1 1 0 1 0 
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1 1 1 1 1 1 1 1 0 1 
1 1 0 1 1 1 1 1 1 1 
0 1 1 1 1 1 1 0 1 1 
1 1 0 1 1 1 1 1 1 1 
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3 8
1 1 1 1 1 1 0 1 1 1 
1 0 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 
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1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 
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0 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 
1 0 1 1 1 0 0 1 1 1 
10 4
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10 7
1 2
1 1 1 1 0 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 0 
1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 0 
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4 3
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6 11
0 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 0 1 0 
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1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 0 1 1 1 
1 1 0 1 0 1 1 0 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 0 0 0 1 1 1 1 1 
1 1 1 1 1 1 1 1 0 1 1 0 
0 1 1 1 0 1 1 1 1 1 0 1 
1 1 1 0 1 0 1 1 1 1 1 1 
1 1 0 0 1 1 1 1 1 1 1 1 
12 3
10 2
4 9
4 10
1 0 1 0 1 1 0 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 0 1 
1 0 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 0 1 1 1 1 1 1 0 
1 1 1 0 1 1 0 1 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 1 1 
0 1 1 1 1 1 0 1 1 1 0 1 
1 1 1 1 1 0 1 1 1 1 1 1 
1 0 1 1 1 1 1 0 1 1 1 1 
0 1 1 1 0 1 1 1 1 1 1 0 
12 4
12 12
2 8
8 5
7 4
1 1 1 1 1 1 0 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 
1 1 0 0 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 1 0 1 
1 1 1 0 1 1 1 1 1 1 1 0 
1 1 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 0 1 1 0 
0 1 1 1 1 1 1 1 1 0 1 1 
1 1 0 1 1 1 0 1 1 1 1 1 
1 1 1 1 1 0 1 1 1 1 1 0 
1 1 1 1 0 0 1 1 1 0 1 1 
1 1 1 0 1 1 1 1 1 0 1 1 
12 4
11 3
10 5
6 12
12 7
1 0 0 1 1 1 0 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
0 0 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 0 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
0 1 1 0 1 0 1 1 1 1 1 0 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
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11 2
2 10
5 11
5 12
1 1 1 1 1 1 0 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 0 1 1 1 1 1 1 1 1 
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1 1 1 1 0 0 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 
12 2
9 8
7 9
1 1 1 1 1 1 1 1 1 0 0 0 
1 0 1 1 1 1 0 0 1 1 0 0 
1 1 1 1 1 0 0 1 1 0 0 1 
1 1 1 1 1 0 1 0 1 0 1 1 
1 0 1 1 1 1 1 1 1 1 1 0 
1 1 1 0 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 
1 0 1 1 1 1 0 1 1 1 1 1 
1 0 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 0 1 1 1 1 1 1 0 
12 2
7 9
10 8
1 0 1 1 1 1 0 1 1 1 1 1 
1 1 1 1 0 1 1 1 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 0 0 1 1 1 1 1 1 0 1 1 
1 0 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 0 1 1 0 1 1 1 1 1 
1 1 1 1 1 1 1 1 0 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 
12 2
6 5
1 2
1 1 1 0 1 1 1 1 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 1 0 
1 0 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 0 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 0 1 
0 1 1 1 1 1 1 1 0 1 1 0 
1 1 1 0 1 1 0 1 1 1 1 1 
1 0 1 1 0 1 1 1 0 1 0 1 
0 1 1 1 1 1 0 1 1 1 1 0 
1 1 1 1 1 1 1 1 1 1 0 1 
1 0 1 1 1 1 1 0 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 0 1 
12 4
7 6
7 12
5 5
5 4
0 0 0 0 0 0 1 1 1 0 0 0 
0 0 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 0 1 1 1 0 0 0 0 
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12 4
6 7
3 8
11 9
1 1 1 0 1 1 1 1 1 0 0 1 
1 1 1 1 1 1 1 1 1 1 1 1 
0 1 1 1 1 1 0 1 1 0 1 1 
1 1 0 1 1 0 1 1 1 1 1 1 
1 1 0 1 0 1 1 0 0 1 1 1 
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15 3
8 6
8 5
12 7
1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 
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0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 
1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 
1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 
0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 
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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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7 2
12 7
4 8
1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 
1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 
1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 
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1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 
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7 3
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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4 2
3 2
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 
0 1 1 1 1 0 0 1 0 1 1 1 1 1 1 
15 4
1 8
10 6
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9 8
1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 
1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 
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1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 
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1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 
1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 
1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 
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0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 
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2 12
12 14
12 5
0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 
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1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 
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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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11 4
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1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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15 7
1 4
2 7
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 
1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 
0 1 1 0 1 1 1 1 1 0 0 1 0 1 1 
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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 
1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 
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1 5
1 12
6 12
1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 
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1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 
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1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 
0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 
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1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
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3 11
15 12
1 7
0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 
1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 
1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 
1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 
1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 
1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 
20 2
6 12
12 11
1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 
1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 
1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 
1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 
1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 
1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 
1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 
1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 
1 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 
0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 
1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 
1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 
20 4
8 20
17 17
2 18
2 13
1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 
1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 
1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 
1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 
1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 
1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 
20 2
18 6
5 17
1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 
1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 
1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 
1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 
1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 
1 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 
0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 
1 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 
0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 
20 3
8 11
11 14
13 16
0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 
0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 
0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 
1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 
1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 
0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 1 
1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 
0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 
20 2
7 10
13 19
1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 
1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 
1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 
0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 
1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 
1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 
1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 
1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 
0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 
1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 1 1 1 
1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 
1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 
20 3
6 2
10 7
14 2
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 
1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 
1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 
0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 
1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 
1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 
1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 
1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 
20 3
9 8
8 12
7 12
1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 
1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 
0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 
0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 
1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 
1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 
1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 
1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 
0 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 1 
0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 
20 3
7 12
9 8
14 5
1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 
1 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 
1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 
1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 
1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 
1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 
1 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 
1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 1 0 
1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 
0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 
20 3
17 4
19 15
17 18
1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 
1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 
1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 
1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 
1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 
1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 
1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 
1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 
1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 
0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 
1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 
1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 1 
1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 1 
20 3
4 20
5 19
20 16
1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 
1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 
1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 
1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 
1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 
1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0 
1 1 1 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 
1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 
1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 
0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 
0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 
0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 
1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 
1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 
1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 
Case #1
1
Case #2
2
Case #3
2
Case #4
7
Case #5
6
Case #6
6
Case #7
4
Case #8
3
Case #9
6
Case #10
7
Case #11
2
Case #12
6
Case #13
5
Case #14
4
Case #15
7
Case #16
3
Case #17
2
Case #18
5
Case #19
3
Case #20
8
Case #21
5
Case #22
7
Case #23
7
Case #24
7
Case #25
9
Case #26
2
Case #27
2
Case #28
4
Case #29
5
Case #30
7
Case #31
3
Case #32
6
Case #33
1
Case #34
2
Case #35
6
Case #36
9
Case #37
6
Case #38
10
Case #39
6
Case #40
10
Case #41
4
Case #42
10
Case #43
12
Case #44
5
Case #45
10
Case #46
6
Case #47
3
Case #48
7
Case #49
8
Case #50
11