Problem
You are given a string s
that consists of only digits.
Check if we can split s
into two or more non-empty substrings such that the numerical values of the substrings are in descending order and the difference between numerical values of every two adjacent substrings is equal to 1
.
For example, the string
s = "0090089"
can be split into["0090", "089"]
with numerical values[90,89]
. The values are in descending order and adjacent values differ by1
, so this way is valid.Another example, the string
s = "001"
can be split into["0", "01"]
,["00", "1"]
, or["0", "0", "1"]
. However all the ways are invalid because they have numerical values[0,1]
,[0,1]
, and[0,0,1]
respectively, all of which are not in descending order.
Return true
if it is possible to split s
as described above**, or *false
* otherwise.**
A substring is a contiguous sequence of characters in a string.
Example 1:
Input: s = "1234"
Output: false
Explanation: There is no valid way to split s.
Example 2:
Input: s = "050043"
Output: true
Explanation: s can be split into ["05", "004", "3"] with numerical values [5,4,3].
The values are in descending order with adjacent values differing by 1.
Example 3:
Input: s = "9080701"
Output: false
Explanation: There is no valid way to split s.
Constraints:
1 <= s.length <= 20
s
only consists of digits.
Solution (Java)
class Solution {
public boolean splitString(String s) {
return solve(0, -1, s, 0);
}
private boolean solve(int i, long prev, String s, int k) {
if (i == s.length()) {
return k >= 2;
}
long cur = 0;
for (int j = i; j < s.length(); j++) {
cur = cur * 10 + s.charAt(j) - '0';
if ((prev == -1 || prev - cur == 1) && solve(j + 1, cur, s, k + 1)) {
return true;
}
}
return false;
}
}
Explain:
nope.
Complexity:
- Time complexity : O(n).
- Space complexity : O(n).