We had some 2-dimensional coordinates, like "(1, 3)"
or "(2, 0.5)"
. Then, we removed all commas, decimal points, and spaces and ended up with the string s.
- For example,
"(1, 3)"
becomess = "(13)"
and"(2, 0.5)"
becomess = "(205)"
.
Return a list of strings representing all possibilities for what our original coordinates could have been.
Our original representation never had extraneous zeroes, so we never started with numbers like "00"
, "0.0"
, "0.00"
, "1.0"
, "001"
, "00.01"
, or any other number that can be represented with fewer digits. Also, a decimal point within a number never occurs without at least one digit occurring before it, so we never started with numbers like ".1"
.
The final answer list can be returned in any order. All coordinates in the final answer have exactly one space between them (occurring after the comma.)
Example 1:
Input: s = "(123)" Output: ["(1, 2.3)","(1, 23)","(1.2, 3)","(12, 3)"]
Example 2:
Input: s = "(0123)" Output: ["(0, 1.23)","(0, 12.3)","(0, 123)","(0.1, 2.3)","(0.1, 23)","(0.12, 3)"] Explanation: 0.0, 00, 0001 or 00.01 are not allowed.
Example 3:
Input: s = "(00011)" Output: ["(0, 0.011)","(0.001, 1)"]
Constraints:
4 <= s.length <= 12
s[0] == '('
ands[s.length - 1] == ')'
.- The rest of
s
are digits.
class Solution:
def ambiguousCoordinates(self, s: str) -> List[str]:
def f(i, j):
res = []
for k in range(1, j - i + 1):
l, r = s[i : i + k], s[i + k : j]
ok = (l == '0' or not l.startswith('0')) and not r.endswith('0')
if ok:
res.append(l + ('.' if k < j - i else '') + r)
return res
n = len(s)
return [
f'({x}, {y})' for i in range(2, n - 1) for x in f(1, i) for y in f(i, n - 1)
]
class Solution {
public List<String> ambiguousCoordinates(String s) {
int n = s.length();
List<String> ans = new ArrayList<>();
for (int i = 2; i < n - 1; ++i) {
for (String x : f(s, 1, i)) {
for (String y : f(s, i, n - 1)) {
ans.add(String.format("(%s, %s)", x, y));
}
}
}
return ans;
}
private List<String> f(String s, int i, int j) {
List<String> res = new ArrayList<>();
for (int k = 1; k <= j - i; ++k) {
String l = s.substring(i, i + k);
String r = s.substring(i + k, j);
boolean ok = ("0".equals(l) || !l.startsWith("0")) && !r.endsWith("0");
if (ok) {
res.add(l + (k < j - i ? "." : "") + r);
}
}
return res;
}
}
class Solution {
public:
vector<string> ambiguousCoordinates(string s) {
int n = s.size();
vector<string> ans;
auto f = [&](int i, int j) {
vector<string> res;
for (int k = 1; k <= j - i; ++k) {
string l = s.substr(i, k);
string r = s.substr(i + k, j - i - k);
bool ok = (l == "0" || l[0] != '0') && r.back() != '0';
if (ok) {
res.push_back(l + (k < j - i ? "." : "") + r);
}
}
return res;
};
for (int i = 2; i < n - 1; ++i) {
for (auto& x : f(1, i)) {
for (auto& y : f(i, n - 1)) {
ans.emplace_back("(" + x + ", " + y + ")");
}
}
}
return ans;
}
};
func ambiguousCoordinates(s string) []string {
f := func(i, j int) []string {
res := []string{}
for k := 1; k <= j-i; k++ {
l, r := s[i:i+k], s[i+k:j]
ok := (l == "0" || l[0] != '0') && (r == "" || r[len(r)-1] != '0')
if ok {
t := ""
if k < j-i {
t = "."
}
res = append(res, l+t+r)
}
}
return res
}
n := len(s)
ans := []string{}
for i := 2; i < n-1; i++ {
for _, x := range f(1, i) {
for _, y := range f(i, n-1) {
ans = append(ans, "("+x+", "+y+")")
}
}
}
return ans
}
function ambiguousCoordinates(s: string): string[] {
s = s.slice(1, s.length - 1);
const n = s.length;
const dfs = (s: string) => {
const res: string[] = [];
for (let i = 1; i < s.length; i++) {
const t = `${s.slice(0, i)}.${s.slice(i)}`;
if (`${Number(t)}` === t) {
res.push(t);
}
}
if (`${Number(s)}` === s) {
res.push(s);
}
return res;
};
const ans: string[] = [];
for (let i = 1; i < n; i++) {
for (const left of dfs(s.slice(0, i))) {
for (const right of dfs(s.slice(i))) {
ans.push(`(${left}, ${right})`);
}
}
}
return ans;
}