给两个整数数组 A 和 B ,返回两个数组中公共的、长度最长的子数组的长度。
示例 1:
输入:
A: [1,2,3,2,1]
B: [3,2,1,4,7]
输出: 3
解释:
长度最长的公共子数组是 [3, 2, 1]。
说明:
1 <= len(A), len(B) <= 1000
0 <= A[i], B[i] < 100
来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/maximum-length-of-repeated-subarray
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//三重for循环超时
public class Main {
public static void main(String[] args) {
int k = 4;
// int[] A = {0,1,1,1,1};
int[] A = {1,2,3,2,1};
// int[] A = {0,0,0,0,0,0,1,0,0,0};
// int[] B = {1,0,1,0,1};
int[] B = {3,2,1,4,7};
// int[] B = {0,0,0,0,0,0,0,1,0,0};
System.out.println(findLength(A, B) );
}
public static int findLength(int[] A, int[] B) {
int ans = Integer.MIN_VALUE;
int tmp = 0;
for (int i=0; i<A.length; i++) {
for (int j=0; j<B.length; j++) {
tmp = 0;
int k = i;
for (int t = j; t<B.length; t++) {
if (k < A.length) {
if (A[k] == B[t]) {
k++;
tmp++;
if (tmp > ans) {
ans = tmp;
}
} else {
tmp = 0;
}
}
}
}
}
if (ans == Integer.MIN_VALUE) {
ans = 0;
}
return ans;
}
}
//暴力优化,卡时间过测试点
public class Main {
public static void main(String[] args) {
int k = 4;
// int[] A = {0,1,1,1,1};
// int[] A = {1,2,3,2,1};
int[] A = {0,0,0,0,0,0,1,0,0,0};
// int[] B = {1,0,1,0,1};
// int[] B = {3,2,1,4,7};
int[] B = {0,0,0,0,0,0,0,1,0,0};
System.out.println(findLength(A, B) );
}
public static int findLength(int[] A, int[] B) {
int ans = Integer.MIN_VALUE;
int tmp = 0;
for (int i=0; i<A.length; i++) {
for (int j=0; j<B.length; j++) {
tmp = 0;
if (A[i] == B[j]) {
int k = i;
int t = j;
//优化
while (k < A.length && t < B.length && A[k] == B[t]) {
k++;
t++;
tmp++;
if (tmp > ans) {
ans = tmp;
}
}
}
if (ans >= A.length-i) { //优化
return ans;
}
}
}
if (ans == Integer.MIN_VALUE) {
ans = 0;
}
return ans;
}
}
//DP动态规划
public class Main {
public static void main(String[] args) {
int k = 4;
// int[] A = {0,1,1,1,1};
// int[] A = {1,2,3,2,1};
int[] A = {0,0,0,0,0,0,1,0,0,0};
// int[] B = {1,0,1,0,1};
// int[] B = {3,2,1,4,7};
int[] B = {0,0,0,0,0,0,0,1,0,0};
System.out.println(findLength(A, B) );
}
public static int findLength(int[] A, int[] B) {
int ans = 0;
int dp[][] = new int[A.length+1][B.length+1];
for (int i=1; i<=A.length; i++) {
for (int j=1; j<=B.length; j++) {
if (A[i-1] == B[j-1]) {
dp[i][j] = dp[i-1][j-1] + 1;
}
ans = Math.max(ans, dp[i][j]);
}
}
return ans;
}
}
//滑窗法
public class Main {
public static void main(String[] args) {
int k = 4;
// int[] A = {0,1,1,1,1};
// int[] A = {1,2,3,2,1};
int[] A = {0,0,0,0,0,0,1,0,0,0};
// int[] B = {1,0,1,0,1};
// int[] B = {3,2,1,4,7};
int[] B = {0,0,0,0,0,0,0,1,0,0};
System.out.println(findLength(A, B) );
}
public static int findLength(int[] A, int[] B) {
int ans = 0;
int a = A.length;
int b = B.length;
for (int i=0; i<a; i++) {
int len = Math.min(b, a-i); //确定同时开始的位置
int tmp = maxLength(A, B, i, 0, len);
ans = Math.max(ans, tmp);
}
for (int i=0; i<b; i++) {
int len = Math.min(a, b-i); //确定同时开始的位置
int tmp = maxLength(A, B, 0, i, len);
ans = Math.max(ans, tmp);
}
return ans;
}
public static int maxLength(int[] A, int[] B, int addA, int addB, int len){
int ret = 0;
int sum = 0;
for (int i=0; i<len; i++) {
if (A[i+addA] == B[i+addB]) {
sum++;
} else {
sum = 0;
}
ret = Math.max(sum, ret);
}
return ret;
}
}