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19 changes: 19 additions & 0 deletions pascal-triangle.ts
Original file line number Diff line number Diff line change
@@ -0,0 +1,19 @@
// Time complexity - O(n^2), n = number of rows
// Space complexity - O(1)
function generate(numRows: number): number[][] {
let triangle: number[][] = new Array(numRows);
triangle[0] = [1];

for (let i = 1; i < numRows; i++) {
triangle[i] = new Array(i + 1);
triangle[i][0] = 1;
for (let j = 1; j < i; j++) {
// next = [r-1 + c][r-1,c-1]
const next = triangle[i - 1][j - 1] + triangle[i - 1][j];
triangle[i][j] = next;
}
triangle[i][i] = 1;
}

return triangle;
}