Table of Contents

## Airline Restrictions codechef solution

Chef has 33 bags that she wants to take on a flight. They weigh AA, BB, and CC kgs respectively. She wants to check-in exactly two of these bags and carry the remaining one bag with her.

The airline restrictions says that the total sum of the weights of the bags that are checked-in cannot exceed DD kgs and the weight of the bag which is carried cannot exceed EE kgs. Find if Chef can take all the three bags on the flight.

### Input Format

- The first line of the input contains a single integer TT denoting the number of test cases. The description of TT test cases follows.
- Each testcase contains a single line of input, five space separated integers A,B,C,D,EA,B,C,D,E.

### Output Format

For each testcase, output in a single line answer `"YES"`

if Chef can take all the three bags with her or `"NO"`

if she cannot.

You may print each character of the string in uppercase or lowercase (for example, the strings “yEs”, “yes”, “Yes” and “YES” will all be treated as identical).

### Constraints

- 1≤T≤360001≤T≤36000
- 1≤A,B,C≤101≤A,B,C≤10
- 15≤D≤2015≤D≤20
- 5≤E≤105≤E≤10

### Subtasks

**Subtask #1 (100 points):** original constraints

### Sample Input 1

```
3
1 1 1 15 5
8 7 6 15 5
8 5 7 15 6
```

### Sample Output 1

```
YES
NO
YES
```

### Explanation

**Test case 11:** Chef can check-in the first and second bag (since 1+1=2≤151+1=2≤15) and carry the third bag with her (since 1≤51≤5).

**Test case 22:** None of the three bags can be carried in hand without violating the airport restrictions.

**Test case 33:** Chef can check-in the first and the third bag (since 8+7≤158+7≤15) and carry the second bag with her (since 5≤65≤6).

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