import java.util.Vector;
class Solution {
public String addBinary(String a, String b) {
//准备过程
String res = "";
a = reverse(a);//将字符串反序好加
b = reverse(b);//将字符串反序好加
int alen = a.length();
int blen = b.length();
int carry = 0;
int temp = 0;
Vector<Integer> vector = new Vector<Integer>();
//开始加,用一个循环完成,手动模拟二进制加法
for(int i = 0; i < alen || i < blen; i++){
temp = carry;//一开始将carry加在这里
if(i < alen){
temp += a.charAt(i) - '0';// + carry;//carry只能加一次
}
if(i < blen){
temp += b.charAt(i) - '0';// + carry;//carry只能加一次
}
carry = temp / 2;
temp = temp % 2;
vector.add(temp);
}
if(carry != 0) vector.add(carry);
//结果处理过程
char[] trans = new char[vector.size()];
int count = vector.size() - 1;
for(int x : vector){
trans[count--] = (char) (x + '0');
}
res = res.valueOf(trans);
return res;
}
//编写的字符串反序函数
public String reverse(String s){
char[] res = new char[s.length()];
for(int i = s.length() - 1; i >= 0; i--){
res[s.length() - 1 - i] = s.charAt(i);
}
String ss = "";
return ss.valueOf(res);
}
}
代码优化(算法思路同“上面代码中的开始加,用一个循环完成,手动模拟二进制加法”)
class Solution {
public String addBinary(String a, String b) {
StringBuilder sb = new StringBuilder();
int i = a.length() - 1, j = b.length() -1, carry = 0;
while (i >= 0 || j >= 0) {
int sum = carry;
if (j >= 0) sum += b.charAt(j--) - '0';
if (i >= 0) sum += a.charAt(i--) - '0';
sb.append(sum % 2);
carry = sum / 2;
}
if (carry != 0) sb.append(carry);
return sb.reverse().toString();
}
}
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