longest increasing continuous subsequence


Longest Increasing Continuous subsequence
这题要注意的是index要连续,并且数值是递增的。所以,每次如果数值不递增,要把continuous的值更新为1。

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public int (int[] A) {

if (A == null || A.length == 0)
return 0;
int max = 1, continuous = 1;
for (int i = 1; i < A.length; ++i) {
if (A[i] > A[i - 1]) {
continuous += 1;
max = Math.max(continuous, max);
} else {
continuous = 1;
}
}
continuous = 1;
for (int i = A.length - 1; i >= 1; --i) {
if (A[i - 1] > A[i]) {
continuous += 1;
max = Math.max(continuous, max);
} else {
continuous = 1;
}
}
return max;
}

Longest Increasing Continuous subsequence II
记忆+DP. dp[i][j]表示以i,j为起始点,能到达的最大的增长序列。

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private int max = 0;

public int longestIncreasingContinuousSubsequenceII(int[][] A) {

if (A == null || A.length == 0 || A[0].length == 0)
return 0;
int[][] dp = new int[A.length][A[0].length];
for (int i = 0; i < A.length; ++i) {
for (int j = 0; j < A[0].length; ++j) {
if (dp[i][j] != 0)
continue;
dfs(A, dp, i, j);
}
}
return max;
}

public int dfs(int[][] nums, int[][] dp, int i, int j) {
if (dp[i][j] > 0)
return dp[i][j];
int val = nums[i][j];
int[] vals = new int[4];
if (j - 1 >= 0 && nums[i][j - 1] > val)
vals[0] = dfs(nums, dp, i, j - 1);
if (j + 1 < nums[0].length && nums[i][j + 1] > val)
vals[1] = dfs(nums, dp, i, j + 1);
if (i - 1 >= 0 && nums[i - 1][j] > val)
vals[2] = dfs(nums, dp, i - 1, j);
if (i + 1 < nums.length && nums[i + 1][j] > val)
vals[3] = dfs(nums, dp, i + 1, j);
dp[i][j] = 1 + Math.max(vals[0], Math.max(vals[1], Math.max(vals[2], vals[3])));
max = Math.max(dp[i][j], max);
return dp[i][j];
}