Problem · Array
Detonate Bombs with Chain Reactions
Learn this problemProblem statement
Each entry bombs[i] = [x, y, radius] describes a bomb centered at (x, y). When bomb i detonates, it immediately detonates every still-undetonated bomb whose center is at Euclidean distance at most radius from (x, y). Those bombs can trigger further detonations.
You may choose exactly one bomb to detonate first. Return the maximum number of bombs that can detonate in the resulting chain reaction.
Function
maximumDetonation(bombs: int[][]) → intExamples
Example 1
bombs = [[2,1,3],[6,1,4]]return = 2The second bomb reaches the first because their centers are 4 units apart and its radius is 4. Starting from the second bomb detonates both.
Example 2
bombs = [[1,1,5],[10,10,5]]return = 1Neither bomb's radius reaches the other, so any chain contains only its starting bomb.
Example 3
bombs = [[1,1,3],[4,1,3],[7,1,3],[10,1,1]]return = 4Starting from the first bomb triggers the next bomb at distance 3, and the reaction continues through all four bombs.
Constraints
1 <= bombs.length <= 100.- Every entry in
bombshas exactly three integers. 1 <= x, y, radius <= 100000.