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Commit03a2113

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1. Add leetcode solutions with amazon tag.
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##1000. Minimum Cost to Merge Stones
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###Question
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There are N piles of stones arranged in a row. The i-th pile has stones[i] stones.
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A move consists of merging exactly K consecutive piles into one pile, and the cost of this move is equal to the total number of stones in these K piles.
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Find the minimum cost to merge all piles of stones into one pile. If it is impossible, return -1.
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```
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Example 1:
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Input: stones = [3,2,4,1], K = 2
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Output: 20
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Explanation:
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We start with [3, 2, 4, 1].
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We merge [3, 2] for a cost of 5, and we are left with [5, 4, 1].
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We merge [4, 1] for a cost of 5, and we are left with [5, 5].
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We merge [5, 5] for a cost of 10, and we are left with [10].
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The total cost was 20, and this is the minimum possible.
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Example 2:
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Input: stones = [3,2,4,1], K = 3
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Output: -1
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Explanation: After any merge operation, there are 2 piles left, and we can't merge anymore. So the task is impossible.
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Example 3:
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Input: stones = [3,5,1,2,6], K = 3
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Output: 25
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Explanation:
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We start with [3, 5, 1, 2, 6].
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We merge [5, 1, 2] for a cost of 8, and we are left with [3, 8, 6].
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We merge [3, 8, 6] for a cost of 17, and we are left with [17].
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The total cost was 25, and this is the minimum possible.
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```
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Note:
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1. 1 <= stones.length <= 30
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2. 2 <= K <= 30
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3. 1 <= stones[i] <= 100
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###Thinking:
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* Method: dp
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```Java
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classSolution {
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publicintmergeStones(int[]stones,intK) {
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int n= stones.length;
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if((n-1)% (K-1)!=0)return-1;
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int[][][] dp=newint[n][n][K+1];
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int[] sum=newint[n+1];
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for(int i=0; i< n; i++)
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sum[i+1]= sum[i]+ stones[i];
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for(int[][] dd: dp)
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for(int[] d: dd)
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Arrays.fill(d,Integer.MAX_VALUE);
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for(int i=0; i< n; i++)
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dp[i][i][1]=0;
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for(int l=2; l<= n; l++){
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for(int start=0; start<= n- l; start++){
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int end= start+ l-1;
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for(int k=2; k<=K; k++){
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for(int mid= start; mid< end; mid+=K-1)
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dp[start][end][k]=Math.min(dp[start][end][k], dp[start][mid][1]+ dp[mid+1][end][k-1]);
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dp[start][end][1]= dp[start][end][K]+ sum[end+1]- sum[start];
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}
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}
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}
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return dp[0][n-1][1];
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}
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}
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```
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###Reference
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1. [花花酱LeetCode1000.MinimumCost toMergeStones](https://zxi.mytechroad.com/blog/dynamic-programming/leetcode-1000-minimum-cost-to-merge-stones/)

‎leetcode/207. Course Schedule.md

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}
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```
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###Amazon session
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* Method 1: Topological sort
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```Java
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class Solution {
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public boolean canFinish(int numCourses, int[][] prerequisites) {
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Map<Integer, Set<Integer>> map = new HashMap<>(); //key: current course, value: courses that cur is pre
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int[] indegree = new int[numCourses]; // indegree of course
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for(int[] requests : prerequisites){
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indegree[requests[0]]++;
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Set<Integer> req = map.getOrDefault(requests[1], new HashSet<>());
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req.add(requests[0]);
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map.put(requests[1], req);
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}
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Queue<Integer> q = new LinkedList<>();
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int finished = 0;
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for(int i = 0; i < numCourses; i++){
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if(indegree[i] == 0){
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q.offer(i);
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}
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}
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while(!q.isEmpty()){
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int c = q.poll();
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finished++;
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if(!map.containsKey(c)) continue; // current course is not any pre-request for any course.
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for(int course : map.get(c)){
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if(--indegree[course] == 0)
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q.offer(course);
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}
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}
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return finished == numCourses;
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}
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}
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```
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###Reference
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1.[【图论】有向无环图的拓扑排序](https://www.cnblogs.com/en-heng/p/5085690.html)

‎leetcode/733. Flood Fill.md

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}
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}
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```
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###Amazon session
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* Method 1: dfs
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```Java
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class Solution {
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private static final int[][] dir = new int[][]{{0, 1}, {0, -1}, {1, 0}, {-1, 0}};
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private int cur;
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private int[][] image;
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private int newColor;
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private int height, width;
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public int[][] floodFill(int[][] image, int sr, int sc, int newColor) {
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this.cur = image[sr][sc];
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if(this.cur == newColor) return image;
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this.image = image;
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this.newColor = newColor;
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this.height = image.length;
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this.width = image[0].length;
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dfs(sr, sc);
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return this.image;
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}
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private void dfs(int x, int y){
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int tx = 0, ty = 0;
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image[x][y] = newColor;
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for(int d = 0; d < 4; d++){
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tx = x + dir[d][0];
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ty = y + dir[d][1];
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if(tx >= 0 && tx < height && ty >= 0 && ty < width && image[tx][ty] == cur){
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dfs(tx, ty);
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}
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}
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}
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}
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```

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