#2101
Detonate the Maximum Bombs
specialist · 870 · lc medium +31 · verified · 49.9% accepted · 3,370 likes · top 37%
Description
You are given a list of bombs, each defined by a circular blast radius. The bombs are represented as a 0-indexed 2D integer array bombs where bombs[i] = [xi, yi, ri]. xi and yi give the position of the ith bomb, and ri is the radius of its effect.
You may trigger exactly one bomb to start a chain reaction. Any bomb within the blast radius of an exploding bomb will itself explode, potentially triggering further explosions.
Return the maximum number of bombs that can be detonated by triggering a single bomb.
Example 1:
Input: bombs = [[2,1,3],[6,1,4]]
Output: 2
Explanation:
The above figure shows the positions and ranges of the 2 bombs.
If we detonate the left bomb, the right bomb will not be affected.
But if we detonate the right bomb, both bombs will be detonated.
So the maximum bombs that can be detonated is max(1, 2) = 2.
Example 2:
Input: bombs = [[1,1,5],[10,10,5]]
Output: 1
Explanation:
Detonating either bomb will not detonate the other bomb, so the maximum number of bombs that can be detonated is 1.
Example 3:
Input: bombs = [[1,2,3],[2,3,1],[3,4,2],[4,5,3],[5,6,4]]
Output: 5
Explanation:
The best bomb to detonate is bomb 0 because:
- Bomb 0 detonates bombs 1 and 2. The red circle denotes the range of bomb 0.
- Bomb 2 detonates bomb 3. The blue circle denotes the range of bomb 2.
- Bomb 3 detonates bomb 4. The green circle denotes the range of bomb 3.
Thus all 5 bombs are detonated.
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