Given a list of non negative integers, arrange them such that they form the largest number.
For example, given [3, 30, 34, 5, 9]
, the largest formed number is 9534330
.
Note: The result may be very large, so you need to return a string instead of an integer.
Credits:
Special thanks to @ts for adding this problem and creating all test cases.
Analysis:
We sort the numbers in a sequence that for any number i and j, if (String) i+j > (String) j+i, then we choose i before j.
Solution:
public class Solution { public String largestNumber(int[] nums) { if (nums.length==0) return ""; List<char[]> numStrs = new ArrayList<char[]>(); for (int i=0;i<nums.length;i++){ numStrs.add(Integer.toString(nums[i]).toCharArray()); } Collections.sort(numStrs,new Comparator<char[]>(){ public int compare(char[] n1, char[] n2){ char[] d1 = new char[n1.length+n2.length]; char[] d2 = new char[n1.length+n2.length]; for (int i=0;i<n1.length;i++){ d1[i] = n1[i]; d2[n2.length+i] = n1[i]; } for (int i=0;i<n2.length;i++){ d1[i+n1.length] = n2[i]; d2[i] = n2[i]; } for (int i=0;i<d1.length;i++) if (d1[i]!=d2[i]){ return (int)d1[i]-(int)d2[i]; } return 0; } }); StringBuilder builder = new StringBuilder(); builder.append(numStrs.get(numStrs.size()-1)); if (builder.toString().equals("0")) return "0"; for (int i=numStrs.size()-2;i>=0;i--){ builder.append(numStrs.get(i)); } return builder.toString(); } }