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Java/Searches/SaddlebackSearch.java at master · java66liu/Java · GitHub
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package
Searches
;
import
java
.
util
.
Scanner
;
/**
* Program to perform Saddleback Search
* Given a sorted 2D array(elements are sorted across every row and column, assuming ascending order)
* of size n*m we can search a given element in O(n+m)
* <p>
* we start from bottom left corner
* if the current element is greater than the given element then we move up
* else we move right
* Sample Input:
* 5 5 ->Dimensions
* -10 -5 -3 4 9
* -6 -2 0 5 10
* -4 -1 1 6 12
* 2 3 7 8 13
* 100 120 130 140 150
* 140 ->element to be searched
* output: 4 3 // first value is row, second one is column
*
* @author Nishita Aggarwal
*/
public
class
SaddlebackSearch
{
/**
* This method performs Saddleback Search
*
* @param arr The **Sorted** array in which we will search the element.
* @param row the current row.
* @param col the current column.
* @param key the element that we want to search for.
* @return The index(row and column) of the element if found.
* Else returns -1 -1.
*/
private
static
int
[]
find
(
int
arr
[][],
int
row
,
int
col
,
int
key
) {
//array to store the answer row and column
int
ans
[] = {-
1
, -
1
};
if
(
row
<
0
||
col
>=
arr
[
row
].
length
) {
return
ans
;
}
if
(
arr
[
row
][
col
] ==
key
) {
ans
[
0
] =
row
;
ans
[
1
] =
col
;
return
ans
;
}
//if the current element is greater than the given element then we move up
else
if
(
arr
[
row
][
col
] >
key
) {
return
find
(
arr
,
row
-
1
,
col
,
key
);
}
//else we move right
return
find
(
arr
,
row
,
col
+
1
,
key
);
}
/**
* Main method
*
* @param args Command line arguments
*/
public
static
void
main
(
String
[]
args
) {
// TODO Auto-generated method stub
Scanner
sc
=
new
Scanner
(
System
.
in
);
int
arr
[][];
int
i
,
j
,
rows
=
sc
.
nextInt
(),
col
=
sc
.
nextInt
();
arr
=
new
int
[
rows
][
col
];
for
(
i
=
0
;
i
<
rows
;
i
++) {
for
(
j
=
0
;
j
<
col
;
j
++) {
arr
[
i
][
j
] =
sc
.
nextInt
();
}
}
int
ele
=
sc
.
nextInt
();
//we start from bottom left corner
int
ans
[] =
find
(
arr
,
rows
-
1
,
0
,
ele
);
System
.
out
.
println
(
ans
[
0
] +
" "
+
ans
[
1
]);
sc
.
close
();
}
}
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