Medium
You are given a string s
consisting of characters 'U'
, 'D'
, 'L'
, and 'R'
, representing moves on an infinite 2D Cartesian grid.
'U'
: Move from (x, y)
to (x, y + 1)
.'D'
: Move from (x, y)
to (x, y - 1)
.'L'
: Move from (x, y)
to (x - 1, y)
.'R'
: Move from (x, y)
to (x + 1, y)
.You are also given a positive integer k
.
You must choose and remove exactly one contiguous substring of length k
from s
. Then, start from coordinate (0, 0)
and perform the remaining moves in order.
Return an integer denoting the number of distinct final coordinates reachable.
Example 1:
Input: s = “LUL”, k = 1
Output: 2
Explanation:
After removing a substring of length 1, s
can be "UL"
, "LL"
or "LU"
. Following these moves, the final coordinates will be (-1, 1)
, (-2, 0)
and (-1, 1)
respectively. There are two distinct points (-1, 1)
and (-2, 0)
so the answer is 2.
Example 2:
Input: s = “UDLR”, k = 4
Output: 1
Explanation:
After removing a substring of length 4, s
can only be the empty string. The final coordinates will be (0, 0)
. There is only one distinct point (0, 0)
so the answer is 1.
Example 3:
Input: s = “UU”, k = 1
Output: 1
Explanation:
After removing a substring of length 1, s
becomes "U"
, which always ends at (0, 1)
, so there is only one distinct final coordinate.
Constraints:
1 <= s.length <= 105
s
consists of only 'U'
, 'D'
, 'L'
, and 'R'
.1 <= k <= s.length
class Solution {
fun distinctPoints(s: String, k: Int): Int {
val seen: MutableSet<Long> = HashSet()
seen.add(0L)
var x = 0
var y = 0
for (i in k..<s.length) {
// add new step
when (s[i]) {
'U' -> y++
'D' -> y--
'L' -> x++
'R' -> x--
else -> x--
}
// remove old step
when (s[i - k]) {
'U' -> y--
'D' -> y++
'L' -> x--
'R' -> x++
else -> x++
}
seen.add(1000000L * x + y)
}
return seen.size
}
}