8. String to Integer (atoi)
- Hardness: \(\color{orange}\textsf{Medium}\)
- Ralated Topics:
String
一、題目
Implement the myAtoi(string s)
function, which converts a string to a 32-bit signed integer (similar to C/C++’s atoi
function).
The algorithm for myAtoi(string s)
is as follows:
- Read in and ignore any leading whitespace.
- Check if the next character (if not already at the end of the string) is
'-'
or'+'
. Read this character in if it is either. This determines if the final result is negative or positive respectively. Assume the result is positive if neither is present. - Read in next the characters until the next non-digit character or the end of the input is reached. The rest of the string is ignored.
- Convert these digits into an integer (i.e.
"123" -> 123
,"0032" -> 32
). If no digits were read, then the integer is0
. Change the sign as necessary (from step 2). - If the integer is out of the 32-bit signed integer range
[-2^31, 2^31-1]
, then clamp the integer so that it remains in the range. Specifically, integers less than-2^31
should be clamped to-2^31
, and integer greater than2^31-1
should be clamped to2^31-1
. - Return the integer as the final result.
Note:
- Only the space character
' '
is considered a whitespace character. - Do not ignore any characters other than the leading whitespace or the rest of the string after the digits.
Example 1:
- Input: s = “42”
- Output: 42
- Explanation: The underlined characters are what is read in, the caret is the current reader position.
Step 1: “42” (no characters read because there is no leading whitespace)
Step 2: “42” (no characters read because there is neither a ‘-’ nor ‘+’)
Step 3: “42” (“42” is read in)
The parsed integer is 42.
Since 42 is in the range[-2^31, 2^31 - 1]
, the final result is 42.
Example 2:
- Input: s = " -42"
- Output: -42
- Explanation:
Step 1: " -42" (leading whitespace is read and ignored)
Step 2: " -42" (’-’ is read, so the result should be negative)
Step 3: " -42" (“42” is read in)
The parsed integer is -42.
Since -42 is in the range[-2^31, 2^31 - 1]
, the final result is -42.
Example 3:
- Input: s = “4193 with words”
- Output: 4193
- Explanation:
Step 1: “4193 with words” (no characters read because there is no leading whitespace)
Step 2: “4193 with words” (no characters read because there is neither a ‘-’ nor ‘+’)
Step 3: “4193 with words” (“4193” is read in; reading stops because the next character is a non-digit)
The parsed integer is 4193.
Since 4193 is in the range[-2^31, 2^31 - 1]
, the final result is 4193.
Constraints:
0 <= s.length <= 200
s
consists of English letters (lower-case and upper-case), digits (0-9
),' '
,'+'
,'-'
, and'.'
.
二、分析
- 此題只需根據條件一一去排除:
- 處理 leading spaces
- 判斷
s[0]
- 處理超過範圍
[-2^31, 2^31-1]
的數 - 處理終止條件
- 可代入幾個處理字串常用的自訂函式:
- 判斷是否為英文字母
isLetter()
bool isLetter(char c) { return (c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z'); }
- 判斷是否為數字
isDigit()
bool isDigit(char c) { return c >= '0' && c <= '9'; }
- 去除左邊空白、右邊空白
ltrim()
、rtrim()
void ltrim(string& s) { s.erase( s.begin(), find_if(s.begin(), s.end(), not1(ptr_fun<int, int>(isspace))) ); } void rtrim(string& s) { s.erase( find_if(s.rbegin(), s.rend(), not1(ptr_fun<int, int>(isspace))).base(), s.end() ); }
- 分隔
split()
vector<string> split(string& s, char del) { stringstream ss(str); string item; vector<string> res; while (getline(ss, item, del)) if (!item.empty()) res.push_back(item); return res; }
- 合併
concat()
string concat(vector<string>& svec, char del) { stringstream ss; for (const auto& s : svec) ss << s << del; return ss.str(); }
- 判斷是否為英文字母
三、解題
1. String
- Time complexity: \(O(n)\)
- Space complexity: \(O(1)\)
// 判斷是否為英文字母
bool isLetter(char c) {
return (c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z');
}
// 判斷是否為數字
bool isDigit(char c) {
return c >= '0' && c <= '9';
}
// 去除左邊空白
void ltrim(string& s) {
s.erase(
s.begin(),
find_if(s.begin(), s.end(), not1(ptr_fun<int, int>(isspace)))
);
}
int myAtoi(string s) {
int res = 0;
// 去除左邊空白
ltrim(s);
// 判斷 s[0],取正負值
bool neg = false;
if (s[0] == '-')
neg = true;
else if (isEnglish(s[0]) || s[0] == '.')
return 0;
else if (isDigit(s[0]))
res += (s[0] - '0');
for (int i = 1; i < s.length(); i++) {
// 終止條件:不再是數字
if (!isDigit(s[i])) break;
// 超出數字範圍
if (neg && (res < INT_MIN/10 || (res == INT_MIN/10 && s[i] == '9'))) return INT_MIN;
else if (!neg && (res > INT_MAX/10 || (res == INT_MAX/10 && s[i] >= '8'))) return INT_MAX;
// 累計數值
if (neg)
res = 10 * res - (s[i] - '0');
else
res = 10 * res + (s[i] - '0');
}
return res;
}