題目來源於 LeetCode 上第 989號(Add to Array-Form of Integer)問題,題目難度為 Easy,AC率44.6%
題目地址:https://leetcode.com/problems/add-to-array-form-of-integer/
題目描述
For a non-negative integer X, the array-form of X is an array of its digits in left to right order. For example, if X = 1231, then the array form is [1,2,3,1].
對於非負整數 X 而言,X 的陣列形式是每位數字按從左到右的順序形成的陣列。例如,如果 X = 1231,那麼其陣列形式為 [1,2,3,1]
Given the array-form A of a non-negative integer X, return the array-form of the integer X+K.
給定非負整數 X 的陣列形式 A,返回整數 X+K 的陣列形式
Example 1:
Input: A = [1,2,0,0], K = 34
Output: [1,2,3,4]
Explanation: 1200 + 34 = 1234
Example 2:
Input: A = [2,7,4], K = 181
Output: [4,5,5]
Explanation: 274 + 181 = 455
Example 3:
Input: A = [2,1,5], K = 806
Output: [1,0,2,1]
Explanation: 215 + 806 = 1021
Example 4:
Input: A = [9,9,9,9,9,9,9,9,9,9], K = 1
Output: [1,0,0,0,0,0,0,0,0,0,0]
Explanation: 9999999999 + 1 = 10000000000
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Note:
- 1 <= A.length <= 10000
- 0 <= A[i] <= 9
- 0 <= K <= 10000
- If A.length > 1, then A[0] != 0
題目解析
陣列從右往左,依次取值相同位數和 K 相加,例如: A = [2,1,5], K = 806
- 陣列從右往左,依次取值相同位數和 K 相加
- 例如5是個位數,(K=806)個數和5進行相加, k = 806+5=811
- 例如1是十位數,(K=811)十位數和1進行相加, k = 81+1=82;
- 2是百位數,(K=82)百位數和1進行相加,K = 8+2 = 10;
- 直到k=0並且陣列迴圈完畢,將結果返回
Note: 最後我們需要考慮執行效率,如何正確選擇集合
- 如果選擇ArrayList執行時間大約42ms
- 如果選擇LinkedList執行時間大院5ms
演算法效率如下:
程式碼實現
class Solution {
public List<Integer> addToArrayForm(int[] A, int K) {
List<Integer> result = new LinkedList<Integer>();
for (int i = A.length - 1; i >= 0; i--) {
K = K + A[i];
if (K >= 0) result.add(0, K % 10);
K = K / 10;
}
while (K > 0) {
result.add(0, K % 10);
K = K / 10;
}
return result;
}
}
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