Code RoomCount shortest paths
HardPrep Room Coding #864

Count shortest paths

CodingAlgorithms & data structuresSenior–Staff~35 min

Given n nodes (0..n-1) and a list of bidirectional roads [u, v, time] with positive integer travel times, count the number of distinct shortest paths (by total time) from node 0 to node n-1. Return the count modulo 1_000_000_007. If node n-1 is unreachable, return 0. The path from 0 to 0 (when n == 1) counts as 1.

Implement
count_shortest_paths(n: int, roads: list[list[int]]) → int
Examples
in[4,[[0,1,1],[0,2,1],[1,3,1],[2,3,1]]]out2
What a strong answer looks like

State your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.

0:00 of about 35 min
InputExpectedGot
[4,[[0,1,1],[0,2,1],[1,3,1],[2,3,1]]]2not run yetsample