CodeGraderBench/CodeGraderBench huggingface dataset:
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
using namespace std;
int f(int n, int i , int jumps[]){
    if(i=n-2){
        return 1;
    }
    int my;
    if(jumps[i] > n-1-i){
      my = (n-1-i)*(n-i)/2 ;
    }
    else my = jumps[i] ;
    return f(n,i,jumps) = f(n,i+1,jumps) +  my;
}
int main(){
    int n;
    cin >> n;
    int jumps[n];
    for(int i=0;i<n;i++){
        cin >> jumps[i];
    }
return f(n,0,jumps) ;
}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: A
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
using namespace std;

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: C
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
using namespace std;
int f(int a,int b[],int k,int n){
    int s=0;
       if(a==0 && k==1){
             return 1;
       }
       if(a==0 && k==0){
            return 0;
       }
       for(;a>0;a--){
        if(b[a]>=n-a){
         s=s+f(a-1,b,k,n);
        }
       }
       return s;
    }//not able to use the value of n in function.
int main(){
    int n,p;
    cin >> n;
    int jumps[n];
    for(int i=0;i<n;i++){
        cin >> jumps[i];
    }
    if(jumps[0]<n){
        p=0;
    }
    else{
        p=1;
    }
    f(n,jumps,p,n);
}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: A
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
int TotalnoOfways(int P,arr[])
{
    
    int*ptr=arr;
    int k=0,s=0;
    int NoOfjumps;
    if(ptr==&arr[N-1]){
         k++;
    }
    NoOfjumps=s+1;
    u=NoOfjumps;
    for(int  u=0;u<s+arr[s];u++){
        while(ptr!=&arr[N-1]){
        ptr=&(arr[NoOfjumps]); 
        
     
    }
    ptr=&arr[s+1];
    k=k+TotalnoOfway(s-1);

}
}

int main(){
    int N;
    cin<<N;
    int Jumps[N];
    
    for(int j=0;j<N;j++)
    {
        cin<<Jumps[j];
    }
    cout<<TotalnoOfways(int N,Jumps[])<<endl;
    





}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: A
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
int main () {

    int arr{N}
    void jump (N, i, j) {
        i = j+1 ;
        cout << "raj " << i <, endl
    }
seatstruct node {
int val;
node* next = nullptr;
};void queue::enqueue(int v) {
tail = (tail? tail->next : head) = new node;
tail->val = v;
}
struct queue {
node* head = nullptr;
node* tail = nullptr;
void enqueue(int v);
bool dequeue(int& v);
};bool queue::dequeue(int &v) {
if(!head) return false;
v = head->val;
node* old_head = head;
head = head->next;
delete old_head;
if(!head) tail=nullptr;
return true;
}
}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: A
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
using namespace std;
struct Memo {
   static const int NMAX = 100;
   bool filled[NMAX] = {};
   int memo[NMAX];
   bool has(unsigned i) { return filled[i]; }
   int get(unsigned i) { return memo[i]; }
   void add(unsigned i, int val) {
       memo[i] = val;
       filled[i] = true;
   }
};
int totalPaths(int i,int jumps[],int n){
    
    int path=0;
    int sum=0;
    sum+=jumps[i];
    if(sum>=n) return path;
    path=path+1;
    totalPaths( i-1,jumps,n);
    
    return path;
    
}
int main()
{
    int n;
    cin>>n;
    int jumps[n]={};
    for(int i=0;i<n;i++){
        cin>>jumps[i];
    }


}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: B
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include <iostream>
using namespace std;
struct Memo {
   static const int NMAX = 100;
   bool filled[NMAX] = {};
   int memo[NMAX];
   bool has(unsigned i) { return filled[i]; }
   int get(unsigned i) { return memo[i]; }
   void add(unsigned i, int val) {
       memo[i] = val;
       filled[i] = true;
   }
};

void solve(int arr[] ,int size, int index, int& count){
    if(index>(size-1)) {
        return;
    }
    if(index==(size-1)){
        count++;
        return;
    }
    for(int i=1; i<=arr[index]; i++) {
        solve(arr,size,index+i,count);
    }
}
int main() {
    int n;
    int arr[n];
    cin>>n;
    for(int i=0; i<n;i++) {
        cin>>arr[i];
    }
    int count=0;
    solve(arr,n,0,count);
    cout<<count;

    
}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: A
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
using namespace std;

int ways( int jumps[], int n, int p)  
{
    if( n==1) { return 1;} 
    else
    {   
        int k;
        return ( 1+ jumps[p] - (1+p) ) * ( ways( jumps, ( 1+jumps[p] -k) , k) );
    

    }
    

struct Memo {
   static const int NMAX = 100;
   bool filled[NMAX] = {};
   int memo[NMAX];
   bool has(unsigned i) { return filled[i]; }
   int get(unsigned i) { return memo[i]; }
   void add(unsigned i, int val) {
       memo[i] = val;
       filled[i] = true;
   }
};






int main()
{
    int n;
    cin>>n;
    int jumps[n];
    for( int i=0;i<n;i++)
    {
        cin>>jumps[i];
    }
    int totalWays = ways( jumps, n, 0);
    cout<< totalWays;
}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: A
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
using namespace std;
int totalways (int n, int p[] ) {
     if (n==1)
      return 1;
        for ( int j=n-1; j>-1; j--) {
        return p[j]*totalways(n-1, p);
        
      }


}
int main() {
    int n;
    cin>>n;
    int jumps[n];
    for (int i=0; i<n; i++) {
        cin>>jumps[i];
    }
cout<<totalways(n,jumps);
return 0;
}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: A
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
using std::cin; using std::cout; using std::endl;
using std::string; 

int main() {

    struct memo             {
        static const int NMAX = 100;

        bool filled[NMAX] = {};
        int memo[NMAX];


        bool has(unsigned i) {return filled[i]; }
int get(unsigned i) { return filled[i];}

    void add(unsigned i, int val) {
        memo[i] = val;
        filled[i] = true;
    }
    
    }  
    
}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: C
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include <iostream>
using std::cin; using std::cout; using std::endl;

int total = 0;

struct Memo {
   static const int NMAX = 100;
   bool filled[NMAX] = {};
   int memo[NMAX];
   bool has(unsigned i) { return filled[i]; }
   int get(unsigned i) { return memo[i]; }
   void add(unsigned i, int val) {
       memo[i] = val;
       filled[i] = true;
   }
};

void func (int i, int n, int jumps[], Memo& memo) {
    if (n == i){
        total++;
    }

    for (int j = 1; j <= jumps [i]; j++){
        if (i+j <= n){
            func (i+j, n, jumps, memo);
        }
    }
    return;
}

int main (){
    int n; cin >> n;
    int jumps [n] = {};
    for (int i = 0; i<n; i++) cin >> jumps [i];
    Memo memo;
    int i = 0;
    func (i, n, jumps, memo);
    cout << total;
}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: A
Problem: You are given a game consisting of n positions arranged in a line from index 0 to n-1. From each position i, you are given a number jumps[i] which represents how far you are allowed to jump forward from that position.

Your task is to compute how many valid ways exist to reach the last position starting from position 0, following the rules below.

Rules

1. You start from position 0.
2. From position i, you may move to any position j such that:
   j > i and j - i <= jumps[i].
3. You may only move forward.
4. A path is considered valid if you can reach the last position (n-1) using the allowed jumps.

The program uses a recursive function to count all such valid paths.



Input Format

- An integer n representing the number of positions.
- n integers representing the array jumps, where jumps[i] indicates the maximum jump length from position i.



Output Format

- Print the total number of valid ways to reach the last position starting from index 0.



Constraints

- 1 <= n <= 1000  
- 0 <= jumps[i] <= n  



Explanation

The recursive function works backward and checks whether a position can reach the end based on the jump limits. If a position can reach the target, it contributes to the total count of paths.

Student submission:
#include<iostream>
using namespace std;
int f(int n){
    if (n==1&&n==0)
    return 1;
    return f(n-2)+f(n-1);
}
int main(){
    struct Memo {
   static const int NMAX = 100;
   bool filled[NMAX] = {};
   int memo[NMAX];
   bool has(unsigned i) { return filled[i]; }
   int get(unsigned i) { return memo[i]; }
   void add(unsigned i, int val) {
       memo[i] = val;
       filled[i] = true;
   }
};

    int n;
    cin>>n;
    int jumps[n] = {};
    for (int i =0; i<n;i++){
        cin>>jumps[i];
    }
}

Grading criterion: Accepting input
Rating A: correctly accepts n, and array/vector as input

Rating B: Some issue
Rating C: Major issue
Rating D: 0
Assigned grade: A