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:
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] 。
来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/maximum-length-of-repeated-subarray
著作权归领扣网络所有。商业转载请联系官方授权,非商业转载请注明出处。
动态规划
class Solution {
public int findLength(int[] nums1, int[] nums2) {
if (nums1 == null || nums1.length == 0 || nums2 == null || nums2.length == 0) {
return 0;
}
int n = nums1.length;
int m = nums2.length;
int[][] dp = new int[n + 1][m + 1];
int ret = 0;
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= m; ++j) {
if (nums1[i - 1] == nums2[j - 1]) {
dp[i][j] = dp[i - 1][j - 1] + 1;
}
ret = Math.max(ret, dp[i][j]);
}
}
return ret;
}
}
滑动窗口
class Solution {
public int findLength(int[] nums1, int[] nums2) {
if (nums1 == null || nums1.length == 0 || nums2 == null || nums2.length == 0) {
return 0;
}
int ret = 0;
int n = nums1.length, m = nums2.length;
for (int i = 0; i < n; ++i) {
int len = Math.min(m, n - i);
ret = Math.max(ret, getMaxLength(nums1, i, nums2, 0, len));
}
for (int i = 0; i < m; ++i) {
int len = Math.min(n, m - i);
ret = Math.max(ret, getMaxLength(nums1, 0, nums2, i, len));
}
return ret;
}
private int getMaxLength(int[] nums1, int start1, int[] nums2, int start2, int length) {
int ret = 0;
int sum = 0;
for (int i = 0; i < length; ++i) {
if (nums1[start1 + i] == nums2[start2 + i]) {
++sum;
} else {
sum = 0;
}
ret = Math.max(ret, sum);
}
return ret;
}
}
二分
import java.util.HashSet;
import java.util.Set;
class Solution {
int mod = 1000000007;
int base = 113;
public int findLength(int[] nums1, int[] nums2) {
if (nums1 == null || nums1.length == 0 || nums2 == null || nums2.length == 0) {
return 0;
}
int n = nums1.length, m = nums2.length;
int left = 0, right = Math.min(n, m);
int ret = 0;
while (left <= right) {
int mid = (left + right) >> 1;
if (check(nums1, nums2, mid)) {
ret = mid;
left = mid + 1;
} else {
right = mid - 1;
}
}
return ret;
}
private boolean check(int[] nums1, int[] nums2, int length) {
Set<Long> set1 = new HashSet<>();
long hash1 = 0;
for (int i = 0; i < length; ++i) {
hash1 = (hash1 * base + nums1[i]) % mod;
}
set1.add(hash1);
long maxBase = quickPow(base, length - 1);
for (int i = length; i < nums1.length; ++i) {
hash1 = ((hash1 - nums1[i - length] * maxBase % mod + mod) * base % mod + nums1[i]) % mod;
set1.add(hash1);
}
long hash2 = 0;
for (int i = 0; i < length; ++i) {
hash2 = (hash2 * base + nums2[i]) % mod;
}
if (set1.contains(hash2)) {
return true;
}
for (int i = length; i < nums2.length; ++i) {
hash2 = ((hash2 - nums2[i - length] * maxBase % mod + mod) * base % mod + nums2[i]) % mod;
if (set1.contains(hash2)) {
return true;
}
}
return false;
}
private long quickPow(long x, int n) {
long ret = 1;
long base = x;
while (n > 0) {
if ((n & 1) == 1) {
ret = (ret * base) % mod;
}
n >>= 1;
base = (base * base) % mod;
}
return ret;
}
}