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20221130.md

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Algorithm

118. Pascal's Triangle

Description

Given an integer numRows, return the first numRows of Pascal's triangle.

In Pascal's triangle, each number is the sum of the two numbers directly above it as shown:

Example 1:

Input: numRows = 5
Output: [[1],[1,1],[1,2,1],[1,3,3,1],[1,4,6,4,1]]

Example 2:

Input: numRows = 1
Output: [[1]]

Constraints:

  • 1 <= numRows <= 30

Solution

class Solution {
    public List<List<Integer>> generate(int numRows) {
        List<List<Integer>> lists= new ArrayList<>();
        if(numRows==0) {
            return lists;
        }
        if(numRows>=1) {
            List<Integer> list = new ArrayList<>();
            list.add(1);
            lists.add(list);
        }
        if(numRows>=2) {
            List<Integer> list = new ArrayList<>();
            list.add(1);
            list.add(1);
            lists.add(list);
        }
        if(numRows>=3){
            for(int i=3;i<=numRows;i++){
                List<Integer> list = new ArrayList<>();
                list.add(1);
                List<Integer> pre = lists.get(i-1-1);
                for(int j=1;j<i-1;j++){
                    list.add(pre.get(j-1)+pre.get(j));
                }
                list.add(1);
                lists.add(list);
            }
        }
        return lists;
    }
}

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