MinimumNumberOfJumps.cpp

#include <stdio.h> 
#include <limits.h> 
  
int min(int x, int y) { return (x < y)? x: y; } 
  
int minJumps(int arr[], int n) 
{ 
    int *jumps = new int[n];
    int i, j; 
  
    if (n == 0 || arr[0] == 0) 
        return INT_MAX; 
  
    jumps[0] = 0; 
  
    for (i = 1; i < n; i++) 
    { 
        jumps[i] = INT_MAX; 
        for (j = 0; j < i; j++) 
        { 
            if (i <= j + arr[j] && jumps[j] != INT_MAX) 
            { 
                 jumps[i] = min(jumps[i], jumps[j] + 1); 
                 break; 
            } 
        } 
    } 
    return jumps[n-1]; 
} 

int main() 
{ 
    int arr[] = {1, 3, 6, 1, 0, 9}; 
    int size = sizeof(arr)/sizeof(int); 
    printf("Minimum number of jumps to reach end is %d ", minJumps(arr,size)); 
    return 0; 
}