最大化最小值的问题。
方法一:直接做,顺便复习一下迭代器和lower_bound的用法。
class Solution {public: int findRadius(vector & houses, vector & heaters) { sort(houses.begin(),houses.end()); sort(heaters.begin(),heaters.end()); int maxdis=0; for (int i=0;i=heaters[heaters.size()-1]){ maxdis=max(houses[i]-heaters[heaters.size()-1],maxdis); }else{ auto pos=lower_bound(heaters.begin(),heaters.end(),houses[i]); int tmp=min(houses[i]-*(--pos), *pos-houses[i]); maxdis = max(tmp,maxdis); } } return maxdis; }};
方法二:分别计算每个house左面和右面距离最近的heater。时间复杂度比上述要低。学习一下 *max_element 和 *min_element 的用法。
class Solution {public: int findRadius(vector & houses, vector & heaters) { int m=houses.size(), n=heaters.size(); sort(houses.begin(),houses.end()); sort(heaters.begin(),heaters.end()); vector res(m,INT_MAX); for (int i=0,j=0;i=0&&j>=0;){ if (houses[i]>=heaters[j]){res[i] = min(houses[i]-heaters[j],res[i]); --i;} else --j; } return *max_element(res.begin(),res.end()); }};