Problem:
Given an integer, convert it to a Roman numeral.
Input is guaranteed to being within the range from 1 to 3999.
Solution: Each bit is converted to a Roman string according to the number, and time complexity O (NUM) is the main topic: Give an integer, adjust the integer to Roman numerals, and the definition of Roman numerals here: Roman numerals
- Single Digit example ⅰ,1 "ⅱ,2" ⅲ,3 "ⅳ,4" ⅴ,5 "ⅵ,6" ⅶ,7 "ⅷ,8" ⅸ,9 "
- 10-digit example ⅹ,10 "ⅺ,11" ⅻ,12 "xiii,13" xiv,14 "xv,15" xvi,16 "xvii,17" xviii,18 "xix,19" xx,20 "xxi,21" xxii,22 "XXIX,29 "xxx,30" xxxiv,34 "xxxv,35" xxxix,39 "xl,40" l,50 "li,51" lv,55 "lx,60" lxv,65 "lxxx,80" xc,90 "xciii,93" XCV,95 "XCVIII, 98 "xcix,99"
- examples of hundred c,100 "cc,200" ccc,300 "cd,400" d,500 "dc,600" dcc,700 "dccc,800" cm,900 "cmxcix,999"
- Thousands of examples m,1000 "mc,1100" mcd,1400 "md,1500" mdc,1600 "mdclxvi,1666" mdccclxxxviii,1888 "mdcccxcix,1899" MCM,1900 "MCMLXXVI,1976 "mcmlxxxiv,1984" mcmxc,1990 "mm,2000" mmmcmxcix,3999 "
- More than thousands of examples
, 65,259 ", 134945584", 183650 "
Solution: Except 0 bits, convert all the bits to a Roman digital connection
Java source code (spents 305ms):
public class Solution {public String inttoroman (int num) {StringBuilder sb = new StringBuilder (); if (num/1000!=0) {romandigit (sb,num/1000, "M", "#", "#"); num%=1000; } if (num/100!=0) {romandigit (sb,num/100, "C", "D", "M"); num%=100; } if (num/10!=0) {romandigit (SB,NUM/10, "X", "L", "C"); num%=10; } if (num!=0) {romandigit (Sb,num, "I", "V", "X"); } return new String (SB); } private void Romandigit (StringBuilder sb,int digit,string a,string b,string c) {switch (digit) {case 1:sb.append (a); return; Case 2:sb.append (a+a); return; Case 3:sb.append (a+a+a); return; Case 4:sb.append (a+b); return; Case 5:sb.append (b); return; Case 6:sb.append (b+a); return; Case 7:sb.append (b+a+a); return; Case 8:sb.append (b+a+a+a); return; Case 9:sb.append (a+c); return; } return; }}
C Language Source code (spents 16ms):
int Romandigit (char* roman,int digit,char A,char b,char c) {switch (digit) {case 1:roman[0]=a;return 1; Case 2:roman[0]=a;roman[1]=a;return 2; Case 3:roman[0]=a;roman[1]=a;roman[2]=a;return 3; Case 4:roman[0]=a;roman[1]=b;return 2; Case 5:roman[0]=b;return 1; Case 6:roman[0]=b;roman[1]=a;return 2; Case 7:roman[0]=b;roman[1]=a;roman[2]=a;return 3; Case 8:roman[0]=b;roman[1]=a;roman[2]=a;roman[3]=a;return 4; Case 9:roman[0]=a;roman[1]=c;return 2; } return 0;} char* inttoroman (int num) {//char Digit[9][5]={i,ii,iii,iv,v,vi,vii,viii,ix}; Char TENSDIG[9][5]={X,XX,XXX,XL,L,LX,LXX,LXXX,XC}; Char hunsdig[9][5]={c,cc,ccc,cd,d,dc,dcc,dccc,cm}; Char thodig[3][3]={m,mm,mmm}; char* roman= (char*) malloc (sizeof (char) *16); int index=0; if (num/1000!=0) {index+=romandigit (roman+index,num/1000, ' M ', ' # ', ' # '); num%=1000; } if (num/100!=0) {index+=romandigit (roman+index,num/100, ' C ', ' D ', 'M '); num%=100; } if (num/10!=0) {index+=romandigit (ROMAN+INDEX,NUM/10, ' X ', ' L ', ' C '); num%=10; } if (num!=0) {index+=romandigit (roman+index,num, ' I ', ' V ', ' X '); } roman[index]=0; return Roman;}
C + + source code (spents 50ms):
Class Solution {public:string inttoroman (int num) {char* roman= (char*) malloc (sizeof (char) *16); int index=0; if (num/1000) {index+=romandigit (roman+index,num/1000, ' M ', ' # ', ' # '); num%=1000; } if (num/100) {index+=romandigit (roman+index,num/100, ' C ', ' D ', ' M '); num%=100; } if (NUM/10) {index+=romandigit (ROMAN+INDEX,NUM/10, ' X ', ' L ', ' C '); num%=10; } if (num) {index+=romandigit (roman+index,num, ' I ', ' V ', ' X '); } roman[index]=0; return string (roman); }private:int romandigit (char* s,int digit,char A,char b,char c) {switch (digit) {case 1:s[0]=a;return 1; Case 2:s[0]=a;s[1]=a;return 2; Case 3:s[0]=a;s[1]=a;s[2]=a;return 3; Case 4:s[0]=a;s[1]=b;return 2; Case 5:s[0]=b;return 1; Case 6:s[0]=b;s[1]=a;return 2; Case 7:s[0]=b;s[1]=a;s[2]=a;return 3; Case 8:s[0]=b;s[1]=a;s[2]=a;s[3]=a;return 4; Case 9:s[0]=a;s[1]=c;return 2; } return 0; }};
Python source code (spents 283ms):
Class solution: # @param {integer} num # @return {string} def inttoroman (self, num): s= " if num/ 1000!=0: s=self. Romandigit (s,num/1000, ' M ', ' # ', ' # ') num%=1000 if num/100!=0: s=self. Romandigit (s,num/100, ' C ', ' D ', ' M ') num%=100 if num/10!=0: s=self. Romandigit (S,NUM/10, ' X ', ' L ', ' C ') num%=10 if num!=0: s=self. Romandigit (S,num, ' I ', ' V ', ' X ') return s def romandigit (self,s,digit,a,b,c): if digit<4: s+= A*digit return s elif digit==4: s+=a+b return s elif digit<9: s+=b+a* (digit-5) return s else: s+=a+c return s
Leetcode Integer to Roman (C,c++,java,python)