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118. Pascal’s Triangle
Given a non-negative integer numRows, generate the first numRows of Pascal’s triangle.
In Pascal’s triangle, each number is the sum of the two numbers directly above it.
Example:
Input: 5 Output: [ [1], [1,1], [1,2,1], [1,3,3,1], [1,4,6,4,1] ]
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/**
* Runtime: 0 ms, faster than 100.00% of Java online submissions for Pascal's Triangle.
*
* Memory Usage: 34 MB, less than 7.23% of Java online submissions for Pascal's Triangle.
*/
public List<List<Integer>> generate(int numRows) {
if (numRows < 1) {
return Collections.emptyList();
}
List<List<Integer>> result = new ArrayList<>(numRows);
result.add(Arrays.asList(1));
for (int i = 1; i < numRows; i++) {
List<Integer> parent = result.get(i - 1);
int length = parent.size() + 1;
List<Integer> current = new ArrayList<>(length);
current.add(1);
for (int j = 1; j < length; j++) {
int left = parent.get(j - 1);
int right = j >= parent.size() ? 0 : parent.get(j);
current.add(left + right);
}
result.add(current);
}
return result;
}