c_cpp STL_sort_rank

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int arr[] = {73, 68, 80, 85, 73, 74, 33, 49, 74, 90, 23, 22, 1, 0, 57, 11, 27, 35, 60, 45};
int len = sizeof(arr) / sizeof(arr[0]);

sort(arr, arr+len, compare);


//  SET the purpose condition.
bool compare(int front, int end) {
  return front > end; //  DESC
  return front < end; //  ASC
}
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;

const int NUM = 20;
typedef struct {
  char ID[20];
  int grade;
  int rank;
} Stu;

bool cmp(Stu a, Stu b);

int main()
{
  int arr[NUM] = {73, 68, 80, 85, 73, 74, 33, 49, 74, 90, 23, 22, 1, 0, 57, 11, 27, 35, 60, 45};
  Stu stu[NUM];
  for(int i = 0; i < NUM; i++) {
    sprintf(stu[i].ID, "Std_NO.%03d", i+1);
    stu[i].grade = arr[i];
  }
  //  Ranking RULES: same grade for same rank
  sort(stu, stu+NUM, cmp);
  //  * init
  int duplicate_num = 0;
  stu[0].rank = 1;
  for(int i = 1; i < NUM; i++) {
    if(stu[i].grade == stu[i-1].grade) {
      stu[i].rank = stu[i-1].rank;
      duplicate_num ++;
    } else {
      stu[i].rank = stu[i-1].rank + 1 + duplicate_num;  //  Next
      duplicate_num = 0; // RE-init
    }
  }

  for(int i = 0; i < NUM; i++) {
    printf("No: %2d | ID: %s | Grades: %2d | Rank: %d\n", i+1, stu[i].ID, stu[i].grade, stu[i].rank);
  }
  return 0;
}

//  as front.grade > later.grade ORDER
bool cmp(Stu a, Stu b) {
  return a.grade > b.grade;
}

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