Question
Formatted question description: https://leetcode.ca/all/65.html
65 Valid Number
Validate if a given string is numeric.
Some examples:
"0" => true
" 0.1 " => true
"abc" => false
"1 a" => false
"2e10" => true
Note: It is intended for the problem statement to be ambiguous.
You should gather all requirements up front before implementing one.
Update (2015-02-10):
The signature of the C++ function had been updated.
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Algorithm
Maintain a two-dimensional dp array, where dp[i][j] represents the minimum path sum to the current position.
Next, look for the state transition formula, because there are only two cases to reach the current position (i, j), either from the top (i-1, j) or from the left (i, j-1), we choose the dp value The smaller path is to compare dp[i-1][j] with dp[i][j-1], and add the smaller value to the current number grid[i][j], which is the current position dp value.
However, some special cases need to be assigned in advance, such as the starting point position, which is directly assigned to grid[0][0], and the first row and column. The position of the first row can only come from the left, and the position of the first column The position can come from above, so these two lines should be initialized in advance, and then update from the position (1, 1) to the lower right corner.
Code
Java
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public class Valid_Number { public static void main(String[] args) { String s = "3"; boolean yes = s.matches("^\\s*[+-]?(\\d+\\.?\\d*|\\d*\\.\\d+)(e[+-]?\\d+)?\\s*$"); // boolean yes = s.matches("\\de\\d+"); System.out.print(yes); } public class Solution { public boolean isNumber(String s) { // @note: matches() // return s.matchAll(); // s.matches("^\\s*[+-]?(\\d+\\.?\\d*|\\d*\\.\\d+)(e[+-]?\\d+)?\\s*"); return s.matches("^\\s*[+-]?(\\d+\\.?\\d*|\\d*\\.\\d+)(e[+-]?\\d+)?\\s*$"); /* Input: "." Output: true Expected: false */ // make it 2 parts, with "e" and without "e" // return s.matches("^\\s*[+-]?d*\\.?\\d*\\s*$") || s.matches("^\\s*[+-]?\\d+e[+-]?\\d+\\s*$"); } } }
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// OJ: https://leetcode.com/problems/valid-number/ // Time: O(N) // Space: O(N) class Solution { bool isInteger(string s) { if (s.empty()) return false; int i = 0, N = s.size(); if (s[i] == '+' || s[i] == '-') ++i; if (i == N) return false; while (i < N && isdigit(s[i])) ++i; return i == N; } bool isDecimal(string s) { if (s.empty()) return false; int i = 0, N = s.size(); if (s[i] == '+' || s[i] == '-') ++i; if (i == N) return false; bool hasInteger = isdigit(s[i]); while (i < N && isdigit(s[i])) ++i; if (i == N || s[i] != '.') return false; ++i; if (i == N) return hasInteger; while (i < N && isdigit(s[i])) ++i; return i == N; } public: bool isNumber(string s) { auto eIndex = s.find_first_of("eE"); if (eIndex == string::npos) return isDecimal(s) || isInteger(s); auto first = s.substr(0, eIndex), second = s.substr(eIndex + 1); return (isDecimal(first) || isInteger(first)) && isInteger(second); } };
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class States(object): def __init__(self): self.init = 0 self.decimal = 1 self.decpoint = 2 self.afterdp = 3 self.e = 4 self.aftere = 5 self.sign = 6 self.nullpoint = 7 self.esign = 8 self.afteresign = 9 class Solution(object): def isNumber(self, s): """ :type s: str :rtype: bool """ s = s.strip() states = States() state = states.init decimals = "01234567890" for c in s: if state == states.init: if c == ".": state = states.nullpoint elif c in decimals: state = states.decimal elif c in ["+", "-"]: state = states.sign else: return False elif state == states.sign: if c in decimals: state = states.decimal elif c == ".": state = states.nullpoint else: return False elif state == states.esign: if c not in decimals: return False state = states.afteresign elif state == states.afteresign: if c not in decimals: return False elif state == states.nullpoint: if c not in decimals: return False state = states.decpoint elif state == states.decimal: if c in decimals: continue elif c == "e": state = states.e elif c == ".": state = states.decpoint else: return False elif state == states.decpoint: if c in decimals: state = states.afterdp elif c == "e": state = states.e else: return False elif state == states.afterdp: if c in decimals: continue elif c == "e": state = states.e else: return False elif state == states.e: if c in decimals: state = states.aftere elif c in ["+", "-"]: state = states.esign else: return False elif state == states.aftere: if c not in decimals: return False else: return False return state not in [states.init, states.e, states.nullpoint, states.sign, states.esign]