There are N children standing in a line. Each child is assigned a rating value.
You are are giving candies to this children subjected to the following:
Each child must have at least one candy.
Children with a higher rating to more candies than their.
What is the minimum candies for you must give?
The typical greedy algorithm problem itself can be done with the greedy method, we use Candy[n] to express the number of sweets per child, in the traversal process, if the child i+1 rate greater than the child I rate, then the best choice is naturally: give the child i+1 candy number = give the child I candy number +1 if the child i+ 1 rate is less than equal to the rate of child I. This time is not good to do, because we do not know the best choice is to give children i+1 how much candy.
The code is as follows:
Import Java.util.Arrays; * * Typical greedy algorithm * The problem itself can be done with the greedy method, we use candy[n] to denote the number of sweets per child, in the traversal process, * if the child i+1 rate greater than the child I rate, then the best choice is naturally: give the child i+1 candy number = give the child I candy number +1 * If the child i+1 the rate is less than equal to the child I rate the whole.
This time is not good to do, * because we do not know the best choice is to give children i+1 how much candy. * The solution is: do not handle this situation for the time being.
After the array traversal, we once again traversing the array from the end of the head, * this back to the greedy, we can deal with the previous skipped child.
* The last cumulative Candy[n] is the minimum number of sweets.
* */public class Solution {public int candy (int[] ratings) {if (Ratings==null | | ratings.length<=0)
return 0;
int []num = new Int[ratings.length];
Arrays.fill (num, 1); for (int i=1;i<ratings.length;i++) {if (ratings[i]>ratings[i-1]) num[i]=num[i-1]+
1; for (int i=ratings.length-2;i>=0;i--) {if (ratings[i]>ratings[i+1] && Num[i] & Lt
num[i+1]+1) num[i]=num[i+1]+1;
int sum=0;
for (int i=0;i<num.length;i++) sum+=num[i];
return sum; }
}
Here is the practice of C + +, this problem is a typical greedy algorithm of a simple application, need to study hard
Pay attention to the comparison of DP in reverse traversal
The code is as follows:
#include <iostream> #include <vector> #include <map> #include < unordered_map> #include <set> #include <unordered_set> #include <queue> #include <stack> # Include <string> #include <climits> #include <algorithm> #include <sstream> #include < functional> #include <bitset> #include <numeric> #include <cmath> #include <regex> using name
Space Std;
Class Solution {Public:int candy (vector<int>& r) {int n = r.size ();
Vector<int> DP (n, 1);
for (int i = 1; i < n; i++) {if (R[i] > R[i-1]) dp[i] = dp[i-1] + 1; for (int i = n-2 i >= 0; i--) {if (R[i] > r[i + 1] && Dp[i] < Dp[i
+ 1]+1) Dp[i] = dp[i + 1] + 1;
return accumulate (Dp.begin (), Dp.end (), 0); }
};