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法律研究編輯距離\n
給定兩個字串。第一個字串是源字串，第二個字串是目標字串。本程式中，我們需要求出將第一個字串轉換為第二個字串所需的可能編輯次數。
字串的編輯可以是插入元素、從第一個字串中刪除元素或修改元素以轉換為第二個字串。
輸入和輸出
Input: Two strings to compare. string 1: Programming string 2: Programs Output: Enter the initial string: Programming Enter the final string: Programs The number of changes required to convert Programming to Programs is 4
演算法
editCount(initStr, finalStr, initLen, finalLen)
輸入 − 初始字串、最終字串及其長度。
輸出 − 使 initStr 變成 finalStr 所需的編輯次數。
Begin if initLen = 0, then return finalLen if finalLen := 0, then return initLen if initStr[initLen - 1] = finalStr[finalLen - 1], then return editCount(initStr, finalStr, initLen – 1, finalLen - 1) answer := 1 + min of (editCount(initStr, finalStr, initLen , finalLen - 1)), (editCount(initStr, finalStr, initLen – 1, finalLen ), (editCount(initStr, finalStr, initLen – 1, finalLen - 1) return answer End
示例
#include<iostream>
using namespace std;
int min(int x, int y, int z) { //find smallest among three numbers
if(x < y) {
if(x < z)
return x;
else
return z;
}else {
if(y < z)
return y;
else
return z;
}
}
int editCount(string initStr , string finalStr, int initLen, intfinalLen) {
if (initLen == 0) //when initial string is empty, add all characters of final string
return finalLen;
if (finalLen == 0) //when final string is empty, delete all characters from initial string
return initLen;
//when last character matches, recursively check previous characters
if (initStr[initLen-1] == finalStr[finalLen-1])
return editCount(initStr, finalStr, initLen-1, finalLen-1);
//if last character match is not found, check for insert, delete and update operations recursively
return 1 + min ( editCount(initStr, finalStr, initLen, finalLen- 1), // insert
editCount(initStr, finalStr, initLen-1, finalLen), // delete
editCount(initStr, finalStr, initLen-1, finalLen-1) // update
);
}
int main() {
string initStr;
string finalStr;
cout << "Enter the initial string: "; cin >> initStr;
cout << "Enter the final string: "; cin >> finalStr;
cout << "The number of changes required to convert " << initStr << " to " << finalStr;
cout << " is " << editCount( initStr , finalStr, initStr.size(), finalStr.size()) << endl;
}輸出
Enter the initial string: Programming Enter the final string: Programs The number of changes required to convert Programming to Programs is 4
更新於： 16-Jun-2020
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